library ("tidyverse" ); theme_set (theme_bw ())
Warning: package 'purrr' was built under R version 4.4.1
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✔ purrr 1.0.4
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✖ dplyr::filter() masks stats::filter()
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ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library ("ggResidpanel" )library ("emmeans" )
Welcome to emmeans.
Caution: You lose important information if you filter this package's results.
See '? untidy'
Loading required package: Matrix
Attaching package: 'Matrix'
The following objects are masked from 'package:tidyr':
expand, pack, unpack
library ("DT" )options (width = 120 )
Models
Regression
Recall the linear regression model, where for observation \(i = \{1,2,\ldots,n \}\) , \[
Y_i = \beta_0 + \beta_1 X_{i,1} + \beta_2 X_{i,2} + \cdots + \beta_j X_{i,j} + \epsilon_i, \quad \epsilon_i \stackrel{ind}{\sim} N(0,\sigma^2)
\] where
\(Y_i\) be the value of the response variable and\(X_{i,j}\) be value of the \(j\) th explanatory variable
In modeling free-for-all data, the response variable will be the time (or points) for a athlete (or team) at a specific event. The explanatory variables are determined by the analyst, but will generally include the following
and possibly additional explanatory variables such as weather conditions.
Since event and athlete are categorical variables, statistical software will automatically construct dummy variables for us. In R, the first event and athlete will be the reference level and then dummy variables will be constructed for every other event and athlete.
Thus, the intercept will be interpreted to be the mean time
Regression (log response)
An alternative model for free-for-all time data is to utilize the logarithm of time as the response variable.
Let \(Y\) be the original response variable. The linear regression model using the logarithm of the original response variable looks like \[
\log(Y_i) = \beta_0 + \beta_1 X_{i,1} + \beta_2 X_{i,2} + \cdots + \beta_j X_{i,j} + \epsilon_i, \quad \epsilon_i \stackrel{ind}{\sim} N(0,\sigma^2)
\]
Interpretation of parameters will occur on the anti-log (or exponential) scale. For example,
\(e^{\beta_0}\) is the median time for the reference athlete at the reference event\(e^{\beta_j}\) is the multiplicative change in median from the reference to non-reference level
Exponentiated coefficients for the dummy variables for event will be the multiplicative change in median time for that event compared to the reference event after adjusting for athlete.
Mixed effect regression
A mixed effect regression model that includes a random effect for athlete is
\[
Y_i = \beta_0 + \beta_1 X_{i,1} + \cdots + \beta_j X_{i,j} + \alpha_{p[i]} + \epsilon_i,
\quad \epsilon_i \stackrel{ind}{\sim} N(0,\sigma^2),
\quad \alpha_p \stackrel{ind}{\sim} N(0,\sigma_\alpha^2)
\] where
\(p[i]\) is the athlete for observation \(i\) and\(\alpha_p\) is the random effect for athlete \(p\) .
Note that the \(\alpha_p\) are centered at 0 due to their distribution having a mean of 0. Thus, a random effect of 0 is an average athlete.
Interpretation of parameters changes slightly due to the centering of athletes abilities. Now,
\(\beta_0\) is the expected time for an average athlete at the reference event,\(\beta_j\) is the expected increase in time for event \(j\) compared to the reference event after adjusting for athlete, and\(\alpha_p\) is the expected increase in time for athlete \(p\) compared to the average athlete after adjusting for event.
Mixed effect regression (log response)
Let \(Y\) be the original response. A mixed effect regression model using the logarithm of this original response is \[
\log(Y_i) = \beta_0 + \beta_1 X_{i,1} + \cdots + \beta_j X_{i,j} + \alpha_{p[i]} + \epsilon_i,
\quad \epsilon_i \stackrel{ind}{\sim} N(0,\sigma^2),
\quad \alpha_p \stackrel{ind}{\sim} N(0,\sigma_\alpha^2)
\]
To interpret parameters, it is convenient to exponetiate. Now,
\(\exp(\beta_0)\) is the median time for an average athlete at the reference event,\(exp(\beta_j)\) is the multiplicative change in time for event \(j\) compared to the reference event after adjusting for athlete, and\(exp(\alpha_p)\) is the multiplicative change in time for athlete \(p\) compared to the average athlete after adjusting for event.
Examples
Iowa State University Women’s 2024 Cross-Country
<- read_csv ("../../data/2024WomensCC.csv" ) |> mutate (race = factor (race, levels = c ("2024CyclonePreview" ,"2024GreenoDirksenCrossCountryInvitational" ,"2024NuttycombeInvitationalChampionship" ,"2024WisconsinPreNationalsChampionship" ,"2024_Big_12_Conference_Cross_Country_Championship" ,"2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships" ,"2024_NCAA_Division_I_Cross_Country_Championships"
Rows: 1330 Columns: 12
── Column specification ────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr (5): NAME, YEAR, TEAM, t_sec, race
dbl (5): PL, t_min, SCORE, minutes, distance
time (2): Avg. Mile, TIME
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
<- cc |> filter (TEAM == "Iowa State" ) |> pull (NAME)
|> group_by (NAME) |> summarize (n = n ()) |> ggplot (aes (x = n)) + geom_histogram (binwidth = 1 ) + labs (title = "Iowa State University Women's 2024 Cross-Country" ,x = "Number of Races"
|> group_by (race) |> summarize (mean_time = mean (minutes))
# A tibble: 7 × 2
race mean_time
<fct> <dbl>
1 2024CyclonePreview 18.1
2 2024GreenoDirksenCrossCountryInvitational 20.8
3 2024NuttycombeInvitationalChampionship 21.5
4 2024WisconsinPreNationalsChampionship 20.8
5 2024_Big_12_Conference_Cross_Country_Championship 21.8
6 2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 21.9
7 2024_NCAA_Division_I_Cross_Country_Championships 20.7
ggplot (cc,aes (x = minutes)) + geom_histogram (bins = 50 ) + facet_wrap (~ race)
Build a model to estimate Cyclone runners. This model should adjust for known (or suspected) explanatory variables. An obvious one is the course.
Linear regression model
<- lm (minutes ~ race + NAME, data = cc)
While we can run F-tests, these are not so relevant because we already knew (or highly suspected) that there would be differences in mean time among races and runners.
# Sequential F-tests with null hypothesis of no effect anova (mf)
Analysis of Variance Table
Response: minutes
Df Sum Sq Mean Sq F value Pr(>F)
race 6 621.44 103.573 988.286 < 2.2e-16 ***
NAME 934 1709.82 1.831 17.468 < 2.2e-16 ***
Residuals 389 40.77 0.105
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Looking at model summary is difficult due to there being so many runners.
Call:
lm(formula = minutes ~ race + NAME, data = cc)
Residuals:
Min 1Q Median 3Q Max
-0.99674 -0.00880 0.00000 0.00949 1.86941
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 16.253121 0.337650 48.136 < 2e-16 ***
race2024GreenoDirksenCrossCountryInvitational 0.368903 0.099188 3.719 0.000229 ***
race2024NuttycombeInvitationalChampionship 4.470789 0.095130 46.997 < 2e-16 ***
race2024WisconsinPreNationalsChampionship 3.867318 0.094199 41.055 < 2e-16 ***
race2024_Big_12_Conference_Cross_Country_Championship 3.850213 0.095953 40.126 < 2e-16 ***
race2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 3.559991 0.085312 41.729 < 2e-16 ***
race2024_NCAA_Division_I_Cross_Country_Championships 4.179957 0.094216 44.365 < 2e-16 ***
NAMEAbbi Hutchinson 2.204644 0.469178 4.699 3.63e-06 ***
NAMEAbby Clements 2.103333 0.457822 4.594 5.88e-06 ***
NAMEAbby Jepchirchir 0.975221 0.462796 2.107 0.035736 *
NAMEAbby Lewis 0.552525 0.378270 1.461 0.144915
NAMEAbby Loveys 0.429191 0.378270 1.135 0.257234
NAMEAbby Ryon 2.310221 0.462796 4.992 9.04e-07 ***
NAMEAbby Sadler 2.046228 0.461991 4.429 1.23e-05 ***
NAMEAbigail Hancock 0.780221 0.462796 1.686 0.092619 .
NAMEAbigail Street 3.285000 0.457822 7.175 3.68e-12 ***
NAMEAbigail White 3.021310 0.469178 6.440 3.54e-10 ***
NAMEAbigail Whitman 0.599561 0.461991 1.298 0.195133
NAMEAddison Boyer 1.589747 0.378270 4.203 3.27e-05 ***
NAMEAddison Dorenkamp 0.038590 0.461806 0.084 0.933447
NAMEAdelyn Fairley 0.045742 0.400784 0.114 0.909193
NAMEAdrien Martens 2.660221 0.462796 5.748 1.83e-08 ***
NAMEAgnes McTighe 0.097409 0.400784 0.243 0.808098
NAMEAiden Harrand 1.252826 0.400919 3.125 0.001912 **
NAMEAiley Mitchell 0.838555 0.462796 1.812 0.070768 .
NAMEAinhoa Brea 1.096228 0.461991 2.373 0.018138 *
NAMEAinsley Anderson 3.976310 0.469178 8.475 4.92e-16 ***
NAMEAlaina Zamorano 3.246667 0.457822 7.092 6.30e-12 ***
NAMEAlaire Serell 4.419644 0.469178 9.420 < 2e-16 ***
NAMEAlayna Behrman 3.272977 0.469178 6.976 1.31e-11 ***
NAMEAlayna Sparr 3.676888 0.462796 7.945 2.12e-14 ***
NAMEAlea Hardie 2.061888 0.462796 4.455 1.10e-05 ***
NAMEAleah Miller 2.126888 0.462796 4.596 5.84e-06 ***
NAMEAleah Tenpas 3.033555 0.462796 6.555 1.77e-10 ***
NAMEAlex Bauer 1.876923 0.461806 4.064 5.83e-05 ***
NAMEAlex Carlson -0.049258 0.400784 -0.123 0.902246
NAMEAlex Millard -0.390160 0.400893 -0.973 0.331045
NAMEAlex Sharp 1.727894 0.461991 3.740 0.000212 ***
NAMEAlexa Rios 3.288444 0.397927 8.264 2.24e-15 ***
NAMEAlexi Fogo 0.923173 0.400893 2.303 0.021818 *
NAMEAlexia (Lex) Escalera Mack 2.231667 0.457822 4.875 1.59e-06 ***
NAMEAlexis Lamb 1.271795 0.397639 3.198 0.001495 **
NAMEAlexis Leone 3.131888 0.462796 6.767 4.84e-11 ***
NAMEAlexis O'Mara 4.976310 0.469178 10.606 < 2e-16 ***
NAMEAli Bainbridge 0.362263 0.378862 0.956 0.339572
NAMEAli Gillooly 1.765221 0.462796 3.814 0.000159 ***
NAMEAli Ince 0.352340 0.400893 0.879 0.380005
NAMEAli Weimer -0.244987 0.377708 -0.649 0.516969
NAMEAliandrea Upshaw -0.381758 0.400784 -0.953 0.341420
NAMEAlicen Ashley 2.545221 0.462796 5.500 6.91e-08 ***
NAMEAlicia Rivera Camargo 4.127977 0.469178 8.798 < 2e-16 ***
NAMEAlisa Lyesina 2.926667 0.457822 6.393 4.67e-10 ***
NAMEAlison Stepanek 3.989644 0.469178 8.503 4.00e-16 ***
NAMEAlivia Edens 4.289644 0.469178 9.143 < 2e-16 ***
NAMEAlli Boehm 1.055326 0.400919 2.632 0.008819 **
NAMEAllie Czapla 4.469644 0.469178 9.527 < 2e-16 ***
NAMEAllie Warner 1.074561 0.461991 2.326 0.020535 *
NAMEAllie Zealand 0.291228 0.461991 0.630 0.528819
NAMEAllison Dougherty 1.154007 0.400893 2.879 0.004215 **
NAMEAllison Hall 2.241228 0.461991 4.851 1.78e-06 ***
NAMEAllison Newman 1.383555 0.462796 2.990 0.002971 **
NAMEAllison Wilson 0.310742 0.400784 0.775 0.438612
NAMEAllyson Taylor 7.729644 0.469178 16.475 < 2e-16 ***
NAMEAlmi Nerurkar 0.182340 0.400893 0.455 0.649482
NAMEAlyson Churchill 0.234561 0.461991 0.508 0.611939
NAMEAlyssa Ferguson 5.991310 0.469178 12.770 < 2e-16 ***
NAMEAlyssa Kulesa 3.842977 0.469178 8.191 3.77e-15 ***
NAMEAmalia Malecek 2.556090 0.462410 5.528 5.96e-08 ***
NAMEAmanda Cooper 3.071667 0.457822 6.709 6.92e-11 ***
NAMEAmanda Treptow 2.820221 0.462796 6.094 2.65e-09 ***
NAMEAmber Aesoph 1.776888 0.462796 3.839 0.000144 ***
NAMEAmelia Arrieta 1.029424 0.462410 2.226 0.026572 *
NAMEAmelia Montgomery 3.280221 0.462796 7.088 6.45e-12 ***
NAMEAmina Maatoug 0.051969 0.378270 0.137 0.890796
NAMEAmy Bunnage -0.914744 0.461806 -1.981 0.048318 *
NAMEAna Keller 4.303555 0.462796 9.299 < 2e-16 ***
NAMEAnastacia Gonzales 1.211575 0.400784 3.023 0.002668 **
NAMEAnastasia Chepkorir 0.108333 0.457822 0.237 0.813070
NAMEAnastasia Kirillov 1.593915 0.380894 4.185 3.53e-05 ***
NAMEAnastaysia Davis 0.323947 0.397693 0.815 0.415819
NAMEAndie-Marie Jones 0.899075 0.400784 2.243 0.025440 *
NAMEAngelina Napoleon 0.226575 0.400784 0.565 0.572175
NAMEAngelina Perez 0.504492 0.400919 1.258 0.209024
NAMEAngeline Gutierrez 3.851310 0.469178 8.209 3.32e-15 ***
NAMEAnika Nettekoven 2.715221 0.462796 5.867 9.50e-09 ***
NAMEAnika Thompson -0.015993 0.400893 -0.040 0.968198
NAMEAniya Mosley 0.010256 0.461806 0.022 0.982293
NAMEAnjali Hocker Singh 1.012757 0.462410 2.190 0.029105 *
NAMEAnn Claire Cop 2.556667 0.457822 5.584 4.41e-08 ***
NAMEAnna Gardiner 0.285256 0.461806 0.618 0.537136
NAMEAnna Garner 3.140000 0.457822 6.859 2.75e-11 ***
NAMEAnna Grabowski 0.890256 0.461806 1.928 0.054611 .
NAMEAnna Martin 0.354561 0.461991 0.767 0.443272
NAMEAnna Perry 0.866888 0.462796 1.873 0.061797 .
NAMEAnna Petr 0.408590 0.461806 0.885 0.376830
NAMEAnna Sentner 1.277525 0.378270 3.377 0.000806 ***
NAMEAnnaka Schlachter 4.241310 0.469178 9.040 < 2e-16 ***
NAMEAnnalynn Earley 6.607977 0.469178 14.084 < 2e-16 ***
NAMEAnnastasia Peters 0.002671 0.375894 0.007 0.994334
NAMEAnneken Viljoen 1.888555 0.462796 4.081 5.45e-05 ***
NAMEAnnelies Quinton 0.768242 0.400784 1.917 0.055989 .
NAMEAnnika Cutforth 0.256969 0.378270 0.679 0.497334
NAMEAnnika Muller 3.936310 0.469178 8.390 9.10e-16 ***
NAMEAnnika Staab 3.611310 0.469178 7.697 1.16e-13 ***
NAMEAoife Dunne 0.434191 0.378270 1.148 0.251742
NAMEAri Trimble 0.857894 0.461991 1.857 0.064074 .
NAMEArianne Olson 0.156228 0.461991 0.338 0.735423
NAMEAshley Jones -0.057591 0.400784 -0.144 0.885814
NAMEAshley Tarasenko 5.905000 0.457822 12.898 < 2e-16 ***
NAMEAshlyn Keeney 1.492354 0.365527 4.083 5.40e-05 ***
NAMEAspen Fulbright 1.360508 0.378188 3.597 0.000363 ***
NAMEAstrid Van Breedam 1.990221 0.462796 4.300 2.16e-05 ***
NAMEAubrie Custer 2.896667 0.457822 6.327 6.88e-10 ***
NAMEAudrey Boles 3.368555 0.462796 7.279 1.88e-12 ***
NAMEAudrey Dadamio 0.989561 0.461991 2.142 0.032818 *
NAMEAudrey DaDamio 0.991923 0.461806 2.148 0.032337 *
NAMEAudrey Ginsberg 2.003555 0.462796 4.329 1.91e-05 ***
NAMEAudrey Suarez 2.222894 0.461991 4.812 2.15e-06 ***
NAMEAutumn Simons 4.679644 0.469178 9.974 < 2e-16 ***
NAMEAva Brackhan 5.604644 0.469178 11.946 < 2e-16 ***
NAMEAva Criniti 0.659823 0.400605 1.647 0.100352
NAMEAva Earl 0.428156 0.400605 1.069 0.285835
NAMEAva Gordon 0.404561 0.461991 0.876 0.381739
NAMEAva Klaassen 4.686310 0.469178 9.988 < 2e-16 ***
NAMEAva Mitchell 0.451228 0.461991 0.977 0.329323
NAMEAva Quattrocchi 2.681667 0.457822 5.857 1.00e-08 ***
NAMEAva Santora 2.576667 0.457822 5.628 3.49e-08 ***
NAMEAvery Latto 1.836667 0.457822 4.012 7.23e-05 ***
NAMEAvril Andre 0.328156 0.400605 0.819 0.413202
NAMEAyianna Olivas 3.129644 0.469178 6.670 8.78e-11 ***
NAMEBailey Cutler 5.711310 0.469178 12.173 < 2e-16 ***
NAMEBailey Wilk 2.616888 0.462796 5.655 3.03e-08 ***
NAMEBarbara Neiva 2.467977 0.469178 5.260 2.38e-07 ***
NAMEBarrett Justema 0.252340 0.400893 0.629 0.529427
NAMEBecca Heitzig 1.450990 0.376448 3.854 0.000136 ***
NAMEBella Gomez 3.931310 0.469178 8.379 9.83e-16 ***
NAMEBella Heikes 0.665884 0.357514 1.863 0.063281 .
NAMEBella Jacobsen 0.403636 0.378270 1.067 0.286607
NAMEBella Wiltfong 6.102977 0.469178 13.008 < 2e-16 ***
NAMEBerlyn Schutz 1.174099 0.403519 2.910 0.003826 **
NAMEBeth Arentz 1.431228 0.461991 3.098 0.002090 **
NAMEBethan Morley 0.448242 0.400784 1.118 0.264081
NAMEBethani Grove 5.336310 0.469178 11.374 < 2e-16 ***
NAMEBethany Michalak 0.634909 0.400784 1.584 0.113968
NAMEBeverlyne Kiptarus 7.177977 0.469178 15.299 < 2e-16 ***
NAMEBieke Schipperen -0.168031 0.378270 -0.444 0.657139
NAMEBlezzin Kimutai -0.051758 0.400784 -0.129 0.897312
NAMEBreanna Burak 1.530581 0.380894 4.018 7.04e-05 ***
NAMEBree Newport 2.272611 0.397927 5.711 2.23e-08 ***
NAMEBrenda Jepchirchir -0.568077 0.461806 -1.230 0.219395
NAMEBrenda Torres 1.525221 0.462796 3.296 0.001072 **
NAMEBrenda Tuwei -0.453077 0.461806 -0.981 0.327154
NAMEBrianna Nieset 3.131888 0.462796 6.767 4.84e-11 ***
NAMEBrianne Brewster 0.883902 0.377708 2.340 0.019780 *
NAMEBrighton Mooney 1.558242 0.400784 3.888 0.000119 ***
NAMEBrigid McCabe 1.931090 0.462410 4.176 3.66e-05 ***
NAMEBrodie Denny 4.548555 0.462796 9.828 < 2e-16 ***
NAMEBrooke Elfert 2.062977 0.469178 4.397 1.42e-05 ***
NAMEBrooke Johnston 0.937826 0.400919 2.339 0.019831 *
NAMEBrooke Morabito -0.041410 0.461806 -0.090 0.928595
NAMEBrooke Mullins 0.493636 0.378270 1.305 0.192670
NAMEBrooke O'Brien 2.888550 0.402833 7.171 3.79e-12 ***
NAMEBrooke Rauber 0.199909 0.400784 0.499 0.618206
NAMEBrooke Wigdahl 4.082977 0.469178 8.702 < 2e-16 ***
NAMEBrooke Wilson 0.171992 0.400919 0.429 0.668164
NAMEBrooklyn Bender 3.191888 0.462796 6.897 2.16e-11 ***
NAMEBrooklyn Brandt 8.466310 0.469178 18.045 < 2e-16 ***
NAMEBrooklyn Hanania 2.545000 0.457822 5.559 5.05e-08 ***
NAMEBrynn Brown -0.360160 0.400893 -0.898 0.369531
NAMEBrynn Hirschfeld 2.131310 0.469178 4.543 7.42e-06 ***
NAMEBrynna McQuillen 0.827432 0.403519 2.051 0.040981 *
NAMEBrynne Marie Purvis 11.521310 0.469178 24.556 < 2e-16 ***
NAMECadence Kasprick 1.151090 0.462410 2.489 0.013215 *
NAMECadence Patterson 1.740000 0.457822 3.801 0.000167 ***
NAMECadynce Shipman 4.341310 0.469178 9.253 < 2e-16 ***
NAMECaila Odekirk 0.527894 0.461991 1.143 0.253886
NAMECalla Wittland 3.427977 0.469178 7.306 1.57e-12 ***
NAMECallie Kirchner 4.939644 0.469178 10.528 < 2e-16 ***
NAMECallie Tucker 1.832894 0.461991 3.967 8.65e-05 ***
NAMECameron McConnell 0.817717 0.375842 2.176 0.030180 *
NAMECami Merickel 1.395766 0.403519 3.459 0.000602 ***
NAMECamille Jackson 4.058555 0.462796 8.770 < 2e-16 ***
NAMECamryn Bodine 3.191310 0.469178 6.802 3.91e-11 ***
NAMECamryn Menninger 0.538173 0.400893 1.342 0.180237
NAMECamryn Sattler 1.894928 0.405719 4.671 4.14e-06 ***
NAMECara Laverty 0.706507 0.400893 1.762 0.078798 .
NAMECara Super 3.941310 0.469178 8.400 8.43e-16 ***
NAMECarlee Hansen -0.018205 0.397639 -0.046 0.963506
NAMECarlie Gregg 2.617977 0.469178 5.580 4.52e-08 ***
NAMECarly Henderson 3.534644 0.469178 7.534 3.49e-13 ***
NAMECarly Holadia 3.147977 0.469178 6.710 6.91e-11 ***
NAMECarly Manchester 2.376888 0.462796 5.136 4.45e-07 ***
NAMECarly Wilkes -0.296341 0.400919 -0.739 0.460260
NAMECarmen Alder -0.268950 0.375842 -0.716 0.474672
NAMECarmen Krawczynski Gonzalez 1.096414 0.378270 2.898 0.003962 **
NAMECaroline Jeptanui -0.835091 0.400784 -2.084 0.037845 *
NAMECaroline Lehman 0.502894 0.461991 1.089 0.277032
NAMECaroline Lyerly 0.451923 0.461806 0.979 0.328386
NAMECaroline Mehlhorn 1.106667 0.457822 2.417 0.016098 *
NAMECaroline Towle 0.771228 0.461991 1.669 0.095851 .
NAMECaroline Wells 0.552409 0.400784 1.378 0.168896
NAMECarolyn Shult 0.274007 0.400893 0.683 0.494704
NAMECarrigan Eberly 2.427977 0.469178 5.175 3.66e-07 ***
NAMECarrington Hessen 3.469932 0.403519 8.599 < 2e-16 ***
NAMECate DeSousa 0.672340 0.400893 1.677 0.094325 .
NAMECatherine Lyon 4.477977 0.469178 9.544 < 2e-16 ***
NAMECecilia Fisher 1.954277 0.397927 4.911 1.34e-06 ***
NAMECeili McCabe -0.915616 0.375842 -2.436 0.015291 *
NAMECelestine kiborus 4.069644 0.469178 8.674 < 2e-16 ***
NAMECharis Robinson 2.377977 0.469178 5.068 6.22e-07 ***
NAMECharlee Lind 3.257977 0.469178 6.944 1.61e-11 ***
NAMECharlotte Cullen 1.548555 0.462796 3.346 0.000899 ***
NAMECharlotte Sinke 0.446090 0.462410 0.965 0.335290
NAMECharlotte Tomkinson 0.098173 0.400893 0.245 0.806673
NAMEChiara Belfico 2.828915 0.380894 7.427 7.09e-13 ***
NAMEChloe Foerster 0.102525 0.378270 0.271 0.786507
NAMEChloe Gonzalez 1.816090 0.462410 3.927 0.000102 ***
NAMEChloe Hershenow 0.580221 0.462796 1.254 0.210693
NAMEChloe Scrimgeour -0.536410 0.461806 -1.162 0.246131
NAMEChloe Thomas -0.815925 0.400784 -2.036 0.042445 *
NAMEChloe Trudel 1.709561 0.461991 3.700 0.000246 ***
NAMEChloe Wellings 0.324823 0.400605 0.811 0.417959
NAMEChristina Allen 2.308333 0.457822 5.042 7.08e-07 ***
NAMEChristina Martinson 4.887977 0.469178 10.418 < 2e-16 ***
NAMEChristina Nisoli 0.300256 0.461806 0.650 0.515961
NAMEChristine Jerono 1.339277 0.397927 3.366 0.000840 ***
NAMECiara O'Shea 0.509007 0.400893 1.270 0.204957
NAMEClaire Beikmann 4.801310 0.469178 10.233 < 2e-16 ***
NAMEClaire Curtsinger 0.435000 0.457822 0.950 0.342626
NAMEClaire Daniels 0.634007 0.400893 1.581 0.114580
NAMEClaire Nowels 2.237977 0.469178 4.770 2.61e-06 ***
NAMEClaire White 1.056879 0.467769 2.259 0.024411 *
NAMEClaire Yerby 2.642757 0.462410 5.715 2.18e-08 ***
NAMEClaire Zubey 1.256090 0.462410 2.716 0.006894 **
NAMEClara Diepenbrock 4.258333 0.457822 9.301 < 2e-16 ***
NAMEClara Gillen 2.661888 0.462796 5.752 1.79e-08 ***
NAMEClare Wright 2.916879 0.467769 6.236 1.17e-09 ***
NAMEColbi Borland 0.254191 0.378270 0.672 0.501992
NAMEColleen Kelly 3.114644 0.469178 6.639 1.07e-10 ***
NAMEColleen Stegmann 0.384176 0.364209 1.055 0.292161
NAMEConstance O'Neal 1.129644 0.469178 2.408 0.016518 *
NAMECordelia Hoover 3.826888 0.462796 8.269 2.16e-15 ***
NAMECorinne Mead 3.974644 0.469178 8.472 5.04e-16 ***
NAMECourtney Anthonies 5.616888 0.462796 12.137 < 2e-16 ***
NAMECourtney Stadter 1.033555 0.462796 2.233 0.026098 *
NAMECynthia Chaparro Belloc 4.492977 0.469178 9.576 < 2e-16 ***
NAMEDani Ahrens 4.291310 0.469178 9.146 < 2e-16 ***
NAMEDanie Parriott 3.409644 0.469178 7.267 2.02e-12 ***
NAMEDaniela Martinez 1.788555 0.462796 3.865 0.000130 ***
NAMEDaniella Hubble 1.888989 0.400605 4.715 3.37e-06 ***
NAMEDaniella Santos 0.126923 0.461806 0.275 0.783585
NAMEDanna Diaz 1.091228 0.461991 2.362 0.018668 *
NAMEDari Cook 9.839644 0.469178 20.972 < 2e-16 ***
NAMEDelaney Catron 5.259644 0.469178 11.210 < 2e-16 ***
NAMEDelaney Fitzgerald 1.579277 0.397927 3.969 8.60e-05 ***
NAMEDelia McDade Clay 1.211888 0.462796 2.619 0.009173 **
NAMEDestiny Everett -0.110000 0.457822 -0.240 0.810249
NAMEDiana Messick 4.859644 0.469178 10.358 < 2e-16 ***
NAMEDorcas Kiptanui 0.618444 0.397927 1.554 0.120958
NAMEDoris Lemngole -1.083077 0.461806 -2.345 0.019513 *
NAMEEden Mueller 1.962717 0.402833 4.872 1.61e-06 ***
NAMEEden Schwarz 2.813333 0.457822 6.145 1.98e-09 ***
NAMEEileen Seebon 1.460221 0.462796 3.155 0.001729 **
NAMEEimear McCarroll 1.125221 0.462796 2.431 0.015493 *
NAMEEimy Martinez 0.629424 0.462410 1.361 0.174244
NAMEEleanor Kendell 1.099075 0.400784 2.742 0.006383 **
NAMEElena Horn 3.900000 0.457822 8.519 3.58e-16 ***
NAMEElena Torres 1.395221 0.462796 3.015 0.002740 **
NAMEEliana Malnourie 0.996888 0.462796 2.154 0.031849 *
NAMEElise Smoot 1.112757 0.462410 2.406 0.016575 *
NAMEElise Stearns -0.403077 0.461806 -0.873 0.383295
NAMEEliza Sybrowsky 1.516228 0.461991 3.282 0.001124 **
NAMEElizabeth Barlow 0.321414 0.378270 0.850 0.396018
NAMEElizabeth Pickett 0.618242 0.400784 1.543 0.123745
NAMEElizabeth Stockman 1.468242 0.400784 3.663 0.000283 ***
NAMEElizabeth Whaley 0.529424 0.462410 1.145 0.252945
NAMEElizabeth Zwahlen 0.937894 0.461991 2.030 0.043025 *
NAMEElla Borsheim 1.351507 0.400893 3.371 0.000823 ***
NAMEElla Buhlke 1.597977 0.469178 3.406 0.000728 ***
NAMEElla Cronhardt 3.323555 0.462796 7.181 3.53e-12 ***
NAMEElla Easton 6.687977 0.469178 14.255 < 2e-16 ***
NAMEElla Fadil 0.911992 0.400919 2.275 0.023464 *
NAMEElla Gilson 0.642409 0.400784 1.603 0.109773
NAMEElla Perry 2.245000 0.457822 4.904 1.38e-06 ***
NAMEEllaney Matarese 0.920742 0.400784 2.297 0.022129 *
NAMEElle Sondag 2.666888 0.462796 5.763 1.69e-08 ***
NAMEEllie Beck 5.762977 0.469178 12.283 < 2e-16 ***
NAMEEllie Brewer 0.725858 0.378270 1.919 0.055730 .
NAMEEllie Jander 5.197977 0.469178 11.079 < 2e-16 ***
NAMEEllie Shea 1.089909 0.400784 2.719 0.006832 **
NAMEElliot Pribramsky 1.393333 0.457822 3.043 0.002498 **
NAMEEmery Mayfield 2.045221 0.462796 4.419 1.29e-05 ***
NAMEEmilee Franklin 4.848555 0.462796 10.477 < 2e-16 ***
NAMEEmilie Meyer 1.345581 0.380894 3.533 0.000461 ***
NAMEEmily Beckner 5.816310 0.469178 12.397 < 2e-16 ***
NAMEEmily Brown 1.271090 0.462410 2.749 0.006259 **
NAMEEmily Bryce 0.105495 0.375842 0.281 0.779098
NAMEEmily Bush 0.611090 0.462410 1.322 0.187100
NAMEEmily Chaston 0.970449 0.375894 2.582 0.010196 *
NAMEEmily Covert 0.285742 0.400784 0.713 0.476299
NAMEEmily Lytle 6.091310 0.469178 12.983 < 2e-16 ***
NAMEEmily Morden 1.943555 0.462796 4.200 3.32e-05 ***
NAMEEmily Nuttall 2.410221 0.462796 5.208 3.10e-07 ***
NAMEEmily Paupore 0.395256 0.461806 0.856 0.392584
NAMEEmily Pharris 2.285000 0.457822 4.991 9.08e-07 ***
NAMEEmily Robinson 0.494424 0.462410 1.069 0.285628
NAMEEmily See 3.515221 0.462796 7.596 2.30e-13 ***
NAMEEmily Vining 1.711228 0.461991 3.704 0.000243 ***
NAMEEmma Atkinson 0.278346 0.377708 0.737 0.461606
NAMEEmma Bartholome 3.919644 0.469178 8.354 1.18e-15 ***
NAMEEmma Bonsall 3.319644 0.469178 7.075 6.98e-12 ***
NAMEEmma Dubie 3.088555 0.462796 6.674 8.61e-11 ***
NAMEEmma Eastman 0.232525 0.378270 0.615 0.539108
NAMEEmma Hadley 1.998333 0.457822 4.365 1.63e-05 ***
NAMEEmma Hain 3.404099 0.403519 8.436 6.52e-16 ***
NAMEEmma Hoins 1.276050 0.402833 3.168 0.001658 **
NAMEEmma Jones 1.317757 0.462410 2.850 0.004608 **
NAMEEmma Little 1.276090 0.462410 2.760 0.006060 **
NAMEEmma McAlister 7.112977 0.469178 15.161 < 2e-16 ***
NAMEEmma Watcke 1.058555 0.462796 2.287 0.022714 *
NAMEEmmaculate Jemutai 1.231777 0.397927 3.095 0.002107 **
NAMEEmmy Stoll 2.913333 0.457822 6.363 5.55e-10 ***
NAMEEowyn Dalbec 1.031228 0.461991 2.232 0.026175 *
NAMEErica Woodard 3.146888 0.462796 6.800 3.96e-11 ***
NAMEErika Cunniam 1.521090 0.462410 3.289 0.001095 **
NAMEErin Cosgrove 0.879424 0.462410 1.902 0.057932 .
NAMEErin Macfarlane 4.112977 0.469178 8.766 < 2e-16 ***
NAMEErin Reidy 0.622235 0.377708 1.647 0.100284
NAMEErin Strzelecki -0.384744 0.461806 -0.833 0.405283
NAMEErin Vringer -0.236773 0.375894 -0.630 0.529133
NAMEEva Georgoulopoulos 5.142977 0.469178 10.962 < 2e-16 ***
NAMEEva Jess 0.445742 0.400784 1.112 0.266749
NAMEEva Klingbeil 0.234007 0.400893 0.584 0.559751
NAMEEva Rinker 2.515000 0.457822 5.493 7.14e-08 ***
NAMEEvaline Chepkoech 0.615000 0.457822 1.343 0.179953
NAMEFaith DeMars 1.074424 0.462410 2.324 0.020665 *
NAMEFaith Ekart 2.213555 0.462796 4.783 2.46e-06 ***
NAMEFaith Linga 1.981228 0.461991 4.288 2.27e-05 ***
NAMEFatima Alanis -0.080160 0.400893 -0.200 0.841621
NAMEFiona Max 0.778173 0.400893 1.941 0.052968 .
NAMEFiona McLoughlin 0.212757 0.462410 0.460 0.645698
NAMEFiona Smith 0.427894 0.461991 0.926 0.354918
NAMEFleur Templier -0.100576 0.462410 -0.218 0.827929
NAMEFlorence Caron -0.625160 0.400893 -1.559 0.119710
NAMEFrances Luna 2.077894 0.461991 4.498 9.08e-06 ***
NAMEFrida Giersdorff 2.468555 0.462796 5.334 1.63e-07 ***
NAMEGabby Martin 2.866667 0.457822 6.262 1.01e-09 ***
NAMEGabby Maryott 5.867977 0.469178 12.507 < 2e-16 ***
NAMEGabi Barrera 1.021888 0.462796 2.208 0.027822 *
NAMEGabriela Calderon 3.987977 0.469178 8.500 4.10e-16 ***
NAMEGabrielle Schmidt 0.909909 0.400784 2.270 0.023734 *
NAMEGabrielle Wahl 3.143555 0.462796 6.793 4.14e-11 ***
NAMEGeneva Timmerman 2.330221 0.462796 5.035 7.32e-07 ***
NAMEGillian Bushee 0.160673 0.400893 0.401 0.688796
NAMEGladys Chepngetich -0.069744 0.461806 -0.151 0.880035
NAMEGrace Bonsall 2.492977 0.469178 5.314 1.81e-07 ***
NAMEGrace Colbert 3.934644 0.469178 8.386 9.34e-16 ***
NAMEGrace Dow 4.794644 0.469178 10.219 < 2e-16 ***
NAMEGrace Erb 2.660221 0.462796 5.748 1.83e-08 ***
NAMEGrace Hartman -0.820925 0.400784 -2.048 0.041202 *
NAMEGrace Jostock 1.415221 0.462796 3.058 0.002382 **
NAMEGrace Kuhn 0.646888 0.462796 1.398 0.162975
NAMEGrace Link 1.756888 0.462796 3.796 0.000170 ***
NAMEGrace Meyer 1.184277 0.397927 2.976 0.003102 **
NAMEGrace Moroney 1.331667 0.457822 2.909 0.003838 **
NAMEGrace Mullin 3.502977 0.469178 7.466 5.47e-13 ***
NAMEGrace Ping 1.133333 0.457822 2.475 0.013730 *
NAMEGrace Pyle 7.246310 0.469178 15.445 < 2e-16 ***
NAMEGrace Spoonhour 3.025221 0.462796 6.537 1.98e-10 ***
NAMEGrace Waage 1.558555 0.462796 3.368 0.000834 ***
NAMEGrace Wassell 1.686159 0.400919 4.206 3.23e-05 ***
NAMEGracen Glover 3.574644 0.469178 7.619 1.97e-13 ***
NAMEGracie Foster 3.336879 0.467769 7.134 4.81e-12 ***
NAMEGracie Jacobs 1.829277 0.397927 4.597 5.80e-06 ***
NAMEGracie Shannon 3.176310 0.469178 6.770 4.76e-11 ***
NAMEGretchen Farley 0.333242 0.400784 0.831 0.406215
NAMEGwen Stare 1.668333 0.457822 3.644 0.000305 ***
NAMEGwenno Goode 0.090256 0.461806 0.195 0.845149
NAMEHailey Nordhus 5.061310 0.469178 10.788 < 2e-16 ***
NAMEHailey Uhre 1.699561 0.461991 3.679 0.000267 ***
NAMEHaley Meade 1.096228 0.461991 2.373 0.018138 *
NAMEHalle Hill 0.451078 0.377798 1.194 0.233219
NAMEHallie Verhage 9.222977 0.469178 19.658 < 2e-16 ***
NAMEHanan Aldelemy 2.836228 0.461991 6.139 2.05e-09 ***
NAMEHanna Bruckmayer 1.456228 0.461991 3.152 0.001747 **
NAMEHannah Beintema 3.181310 0.469178 6.781 4.46e-11 ***
NAMEHannah Gapes -0.662591 0.400784 -1.653 0.099089 .
NAMEHannah Ielfield 1.792894 0.461991 3.881 0.000122 ***
NAMEHannah Kilday 4.066595 0.405719 10.023 < 2e-16 ***
NAMEHannah Meiser 2.965221 0.462796 6.407 4.29e-10 ***
NAMEHannah Quinn 4.824095 0.405719 11.890 < 2e-16 ***
NAMEHannah Spears 1.811667 0.457822 3.957 9.02e-05 ***
NAMEHannah Swanson 3.751310 0.469178 7.996 1.49e-14 ***
NAMEHarley Kletz 0.407525 0.378270 1.077 0.281997
NAMEHarper McClain 1.489424 0.462410 3.221 0.001385 **
NAMEHasset Kassa 15.549644 0.469178 33.142 < 2e-16 ***
NAMEHayley Burns 0.336228 0.461991 0.728 0.467186
NAMEHayley Kitching 0.087340 0.400893 0.218 0.827650
NAMEHeidi Demeo 0.902340 0.400893 2.251 0.024954 *
NAMEHilda Olemomoi -1.013425 0.400784 -2.529 0.011846 *
NAMEHillary Trainor 1.948555 0.462796 4.210 3.17e-05 ***
NAMEHolly Smith 0.638156 0.400605 1.593 0.111977
NAMEImane Jourji 2.489644 0.469178 5.306 1.88e-07 ***
NAMEImogen Gardiner 0.622894 0.461991 1.348 0.178352
NAMEIndia Weir 0.048636 0.378270 0.129 0.897761
NAMEIndigo Sterud 2.708555 0.462796 5.853 1.03e-08 ***
NAMEIsabel Allori 0.708242 0.400784 1.767 0.077988 .
NAMEIsabela Garcia 3.501888 0.462796 7.567 2.79e-13 ***
NAMEIsabela Ross 0.984561 0.461991 2.131 0.033705 *
NAMEIsabella Orozco 2.815221 0.462796 6.083 2.82e-09 ***
NAMEIsabelle Hartnett 2.623555 0.462796 5.669 2.80e-08 ***
NAMEIsabelle Schmitz 0.576124 0.377708 1.525 0.127993
NAMEIzzy Roemer 0.440013 0.377708 1.165 0.244751
NAMEJaci Sievers 0.765742 0.400784 1.911 0.056789 .
NAMEJackie Addy 2.361667 0.457822 5.158 3.98e-07 ***
NAMEJackie Holman 1.028555 0.462796 2.222 0.026825 *
NAMEJacqueline Abanses 2.641599 0.403519 6.546 1.86e-10 ***
NAMEJade Ecoffey 2.675221 0.462796 5.781 1.53e-08 ***
NAMEJade Rypkema 0.810673 0.400893 2.022 0.043843 *
NAMEJadie Chavez 3.295221 0.462796 7.120 5.24e-12 ***
NAMEJadyn Zdanavage 1.020326 0.400919 2.545 0.011314 *
NAMEJaelyn Miller 2.675221 0.462796 5.781 1.53e-08 ***
NAMEJaelyn Rumback 8.689644 0.469178 18.521 < 2e-16 ***
NAMEJalyssa Blazek 2.221888 0.462796 4.801 2.26e-06 ***
NAMEJami Reed 1.150256 0.461806 2.491 0.013163 *
NAMEJane Roloff 1.324424 0.462410 2.864 0.004408 **
NAMEJanette Schraft 1.008546 0.467769 2.156 0.031690 *
NAMEJasleen Sidhu 2.671310 0.469178 5.694 2.45e-08 ***
NAMEJasmine Wood 1.041228 0.461991 2.254 0.024766 *
NAMEJayden Harberts 1.055858 0.378270 2.791 0.005509 **
NAMEJenna Carter 2.191667 0.457822 4.787 2.41e-06 ***
NAMEJenna DeBates 1.658555 0.462796 3.584 0.000382 ***
NAMEJenna Hutchins 0.170614 0.397693 0.429 0.668154
NAMEJenna Mulhern 0.276159 0.400919 0.689 0.491350
NAMEJenna Muma 2.353555 0.462796 5.086 5.71e-07 ***
NAMEJenna Soine 1.670221 0.462796 3.609 0.000348 ***
NAMEJenna Zydanowicz 0.040742 0.400784 0.102 0.919082
NAMEJenny Schilling -0.188493 0.400893 -0.470 0.638487
NAMEJessa Cassity 3.366310 0.469178 7.175 3.69e-12 ***
NAMEJessica Frydenlund 0.399840 0.400893 0.997 0.319203
NAMEJessica Heyen 7.504644 0.469178 15.995 < 2e-16 ***
NAMEJessica Lutmer 1.153555 0.462796 2.493 0.013097 *
NAMEJessica Palisca 1.839561 0.461991 3.982 8.16e-05 ***
NAMEJessica Wilson 3.061310 0.469178 6.525 2.12e-10 ***
NAMEJessie Secor 0.305961 0.397639 0.769 0.442096
NAMEJillian Candelino 0.429075 0.400784 1.071 0.285017
NAMEJillian Vaughn 3.159644 0.469178 6.734 5.93e-11 ***
NAMEJinane Mahi 0.762161 0.375842 2.028 0.043254 *
NAMEJocey Willis 1.898333 0.457822 4.146 4.15e-05 ***
NAMEJoni Schroeder 6.442977 0.469178 13.732 < 2e-16 ***
NAMEJordan Ledington 2.808333 0.457822 6.134 2.11e-09 ***
NAMEJordan Lee 4.711667 0.457822 10.291 < 2e-16 ***
NAMEJordan White 3.211667 0.457822 7.015 1.03e-11 ***
NAMEJoscelyn Monarrez 5.971310 0.469178 12.727 < 2e-16 ***
NAMEJosey Whitaker 3.953333 0.457822 8.635 < 2e-16 ***
NAMEJosie Baker 1.970288 0.378521 5.205 3.14e-07 ***
NAMEJosie Karnik 4.136310 0.469178 8.816 < 2e-16 ***
NAMEJosie Koppes 3.524644 0.469178 7.512 4.02e-13 ***
NAMEJosie Smith 5.834644 0.469178 12.436 < 2e-16 ***
NAMEJosie Tyrrell 2.067977 0.469178 4.408 1.35e-05 ***
NAMEJosphine Mwaura 0.198343 0.364209 0.545 0.586351
NAMEJoy Naukot -0.631172 0.375842 -1.679 0.093886 .
NAMEJozlyn Barnes 5.722977 0.469178 12.198 < 2e-16 ***
NAMEJudy Chepkoech -0.504872 0.397639 -1.270 0.204960
NAMEJudy Kosgei -0.213077 0.461806 -0.461 0.644770
NAMEJulia David-Smith -0.093031 0.378270 -0.246 0.805860
NAMEJulia Flynn 0.460742 0.400784 1.150 0.251014
NAMEJulia Schmitt 0.882894 0.461991 1.911 0.056731 .
NAMEJulia Shimel 2.928333 0.457822 6.396 4.58e-10 ***
NAMEJulia Thigpen 2.346310 0.469178 5.001 8.65e-07 ***
NAMEJulie Sumsion 0.444561 0.461991 0.962 0.336511
NAMEJuliet Cherubet -0.733205 0.397639 -1.844 0.065959 .
NAMEJuliette Forstrom 0.824424 0.462410 1.783 0.075385 .
NAMEJuliette Gavois 2.831310 0.469178 6.035 3.72e-09 ***
NAMEKaia Richmond 2.856310 0.469178 6.088 2.75e-09 ***
NAMEKaitlin Skeate 3.313555 0.462796 7.160 4.06e-12 ***
NAMEKaitlyn Bloomenrader 3.577977 0.469178 7.626 1.88e-13 ***
NAMEKaitlyn Hynes 0.050742 0.400784 0.127 0.899317
NAMEKaitlyn Sheppard 0.665221 0.462796 1.437 0.151409
NAMEKaitlyn Swartz 1.967611 0.397927 4.945 1.14e-06 ***
NAMEKaitlyn Thalman 6.382977 0.469178 13.605 < 2e-16 ***
NAMEKaiya Robertson -0.186410 0.461806 -0.404 0.686688
NAMEKamryn Ensley 1.611599 0.403519 3.994 7.77e-05 ***
NAMEKara Mickelson 2.940000 0.457822 6.422 3.93e-10 ***
NAMEKara Muller 2.934644 0.469178 6.255 1.05e-09 ***
NAMEKarina James 1.514561 0.461991 3.278 0.001138 **
NAMEKarrie Baloga 0.085256 0.461806 0.185 0.853627
NAMEKat Helmer 3.400000 0.457822 7.426 7.12e-13 ***
NAMEKat Hudson 6.859644 0.469178 14.621 < 2e-16 ***
NAMEKatarzyna Nowakowska 0.028045 0.397814 0.070 0.943833
NAMEKate Crawford 1.659384 0.402833 4.119 4.65e-05 ***
NAMEKate Dickman 0.986923 0.461806 2.137 0.033213 *
NAMEKate Jortberg 0.296923 0.461806 0.643 0.520629
NAMEKate Kuwahara 2.929424 0.462410 6.335 6.56e-10 ***
NAMEKate Laurent -0.062243 0.462410 -0.135 0.892993
NAMEKate LeBlanc 2.516888 0.462796 5.438 9.52e-08 ***
NAMEKate Madsen 2.111310 0.469178 4.500 8.99e-06 ***
NAMEKate Miller 4.978333 0.457822 10.874 < 2e-16 ***
NAMEKate Putman 1.079075 0.400784 2.692 0.007400 **
NAMEKate Selover 2.905000 0.457822 6.345 6.18e-10 ***
NAMEKatelyn Nix 7.151310 0.469178 15.242 < 2e-16 ***
NAMEKatelyn Stewart-Barnett 0.966923 0.461806 2.094 0.036926 *
NAMEKatherine Hessler 0.853989 0.400605 2.132 0.033654 *
NAMEKatherine Soule 2.801888 0.462796 6.054 3.32e-09 ***
NAMEKathryn Cameron 4.487977 0.469178 9.566 < 2e-16 ***
NAMEKathryn Cichon 4.138555 0.462796 8.943 < 2e-16 ***
NAMEKatie Mead 7.341310 0.469178 15.647 < 2e-16 ***
NAMEKatie Roche 3.120221 0.462796 6.742 5.66e-11 ***
NAMEKatja Bauerle 0.506667 0.457822 1.107 0.269113
NAMEKayla Christopherson 1.776888 0.462796 3.839 0.000144 ***
NAMEKayla Shea 4.077977 0.469178 8.692 < 2e-16 ***
NAMEKayla Vogelsang 3.381888 0.462796 7.308 1.56e-12 ***
NAMEKayla Windemuller 0.882894 0.461991 1.911 0.056731 .
NAMEKaylee Jenish 4.896310 0.469178 10.436 < 2e-16 ***
NAMEKaylie Armitage 0.083659 0.400919 0.209 0.834816
NAMEKeegan Beisel 4.077977 0.469178 8.692 < 2e-16 ***
NAMEKeelee Leitzen 1.690761 0.405719 4.167 3.80e-05 ***
NAMEKeira Moore -0.099258 0.400784 -0.248 0.804528
NAMEKeira Naidoo 3.296310 0.469178 7.026 9.58e-12 ***
NAMEKeira Saavedra 1.264424 0.462410 2.734 0.006535 **
NAMEKelsie Heins 4.454644 0.469178 9.495 < 2e-16 ***
NAMEKenadi Krueger 1.384277 0.397927 3.479 0.000561 ***
NAMEKendall Hughes 2.018333 0.457822 4.409 1.35e-05 ***
NAMEKendall Martin 1.389424 0.462410 3.005 0.002830 **
NAMEKennady Anderson 2.216489 0.400605 5.533 5.80e-08 ***
NAMEKennady Fontenot 1.231090 0.462410 2.662 0.008082 **
NAMEKenzie Spencer 5.351310 0.469178 11.406 < 2e-16 ***
NAMEKenzy Lippold 3.831310 0.469178 8.166 4.50e-15 ***
NAMEKiara Smeltz 0.828080 0.378270 2.189 0.029181 *
NAMEKiera Snyder 2.415221 0.462796 5.219 2.94e-07 ***
NAMEKierra Jensen 2.749644 0.469178 5.861 9.84e-09 ***
NAMEKiki Connell 1.360111 0.397927 3.418 0.000697 ***
NAMEKiley Craft 6.266310 0.469178 13.356 < 2e-16 ***
NAMEKimberley May -0.599327 0.400893 -1.495 0.135731
NAMEKirstin Hackney 3.251310 0.469178 6.930 1.76e-11 ***
NAMEKlara Dess 0.096575 0.400784 0.241 0.809708
NAMEKlaudia Kazimierska 0.096923 0.461806 0.210 0.833873
NAMEKoe Schultz 5.042977 0.469178 10.749 < 2e-16 ***
NAMEKorima Gonzalez 3.261888 0.462796 7.048 8.30e-12 ***
NAMEKylie Finger 0.961090 0.462410 2.078 0.038324 *
NAMEKylie Haacke 2.418555 0.462796 5.226 2.83e-07 ***
NAMEKylie Miller 3.871667 0.457822 8.457 5.62e-16 ***
NAMEKylie Simshauser 0.447894 0.461991 0.969 0.332904
NAMEKyra Pretre 1.439909 0.400784 3.593 0.000369 ***
NAMELaina Friedmann 2.635000 0.457822 5.756 1.75e-08 ***
NAMELaney Parmeley 3.202977 0.469178 6.827 3.35e-11 ***
NAMELaura Hasemann 4.621310 0.469178 9.850 < 2e-16 ***
NAMELaura Holansky 2.878333 0.457822 6.287 8.70e-10 ***
NAMELaura Mooney 0.106507 0.400893 0.266 0.790631
NAMELaura Nicholson 0.269909 0.400784 0.673 0.501060
NAMELaura Pellicoro -0.468077 0.461806 -1.014 0.311413
NAMELauren Bishard 5.556310 0.469178 11.843 < 2e-16 ***
NAMELauren Eftink 2.976888 0.462796 6.432 3.69e-10 ***
NAMELauren Klein 3.518546 0.467769 7.522 3.77e-13 ***
NAMELauren Ping 0.899277 0.397927 2.260 0.024379 *
NAMELauren Schulze 1.841888 0.462796 3.980 8.22e-05 ***
NAMELaya Erickson 2.831777 0.397927 7.116 5.37e-12 ***
NAMELayla Roebke 0.067894 0.461991 0.147 0.883239
NAMELea Hatcher 1.360256 0.461806 2.946 0.003418 **
NAMELea Jerkovic 3.056888 0.462796 6.605 1.31e-10 ***
NAMELeah Christians 1.596228 0.461991 3.455 0.000611 ***
NAMELeah Jeruto -0.227261 0.400329 -0.568 0.570575
NAMELeah Klapatauskas 2.205217 0.402833 5.474 7.89e-08 ***
NAMELeane Willemse 0.492525 0.378270 1.302 0.193671
NAMELeanna Johnston 2.091090 0.462410 4.522 8.14e-06 ***
NAMELena Singleton 2.573555 0.462796 5.561 5.00e-08 ***
NAMELeonie Saurer 2.010326 0.400919 5.014 8.10e-07 ***
NAMELesley Green 0.241923 0.461806 0.524 0.600672
NAMELexi Liess 3.274644 0.469178 6.980 1.28e-11 ***
NAMELexy Halladay-Lowry -0.483950 0.375842 -1.288 0.198636
NAMELianna Surtz 1.034909 0.400784 2.582 0.010182 *
NAMELiina Winborn 1.189561 0.461991 2.575 0.010397 *
NAMELili-Rose Breheret 4.601310 0.469178 9.807 < 2e-16 ***
NAMELiliana Campos 2.441667 0.457822 5.333 1.64e-07 ***
NAMELillian Cutler 3.121310 0.469178 6.653 9.79e-11 ***
NAMELillian Feingold 1.159424 0.462410 2.507 0.012571 *
NAMELillian Woolery 3.463555 0.462796 7.484 4.86e-13 ***
NAMELilly Lavier 0.784176 0.364209 2.153 0.031926 *
NAMELilly Walters 0.575256 0.461806 1.246 0.213636
NAMELily Flynn 1.006414 0.378270 2.661 0.008124 **
NAMELily Jackson 3.516599 0.403519 8.715 < 2e-16 ***
NAMELily Mather 1.036667 0.457822 2.264 0.024103 *
NAMELily Porth 1.474561 0.461991 3.192 0.001529 **
NAMELily Schwartz 3.685766 0.403519 9.134 < 2e-16 ***
NAMELinda Perez 0.834191 0.378270 2.205 0.028019 *
NAMELindsay Cunningham 0.164747 0.378270 0.436 0.663421
NAMELindsey Peters 0.808782 0.375894 2.152 0.032042 *
NAMELisa Luecke 1.106090 0.462410 2.392 0.017230 *
NAMELogan Hofstee 0.464840 0.400893 1.160 0.246959
NAMELogan St. John-Kletter 0.488590 0.461806 1.058 0.290713
NAMELoghan Hughes 2.399561 0.461991 5.194 3.33e-07 ***
NAMELoral Winn 0.212409 0.400784 0.530 0.596426
NAMELorena Rangel Batres 0.326923 0.461806 0.708 0.479417
NAMELou Trois 0.843242 0.400784 2.104 0.036021 *
NAMELouise Lounes 1.773333 0.457822 3.873 0.000126 ***
NAMELucinda Rourke 1.281228 0.461991 2.773 0.005817 **
NAMELucy Jenks -0.260993 0.400893 -0.651 0.515411
NAMELydia Bennett 3.190221 0.462796 6.893 2.21e-11 ***
NAMELydia Davis 3.741310 0.469178 7.974 1.73e-14 ***
NAMELydia Edmonds 5.006310 0.469178 10.670 < 2e-16 ***
NAMEMabry Bruhn 2.071489 0.400605 5.171 3.74e-07 ***
NAMEMaci Steuber 2.720221 0.462796 5.878 8.95e-09 ***
NAMEMacie Russell 3.526888 0.462796 7.621 1.94e-13 ***
NAMEMackenize Browne 2.307894 0.461991 4.996 8.88e-07 ***
NAMEMackenzie Aldridge 1.423555 0.462796 3.076 0.002246 **
NAMEMackenzie Barnett 0.146414 0.378270 0.387 0.698922
NAMEMackenzie Hart 2.071992 0.400919 5.168 3.79e-07 ***
NAMEMackenzie Rogers 1.573242 0.400784 3.925 0.000102 ***
NAMEMadaline Ullom 0.236507 0.400893 0.590 0.555567
NAMEMadalyn Gray 3.121888 0.462796 6.746 5.53e-11 ***
NAMEMaddie Gardiner 0.644424 0.462410 1.394 0.164228
NAMEMaddie Kelly 2.231228 0.461991 4.830 1.97e-06 ***
NAMEMaddie Livingston 1.892757 0.462410 4.093 5.18e-05 ***
NAMEMaddie Peters 1.017757 0.462410 2.201 0.028324 *
NAMEMaddie Seaby 0.849561 0.461991 1.839 0.066690 .
NAMEMaddy Elmore -0.509744 0.461806 -1.104 0.270360
NAMEMaddy Ramey 5.672977 0.469178 12.091 < 2e-16 ***
NAMEMaddy Whitman 1.235656 0.400605 3.084 0.002185 **
NAMEMadeline Cabana 2.870221 0.462796 6.202 1.43e-09 ***
NAMEMadeline Heintz 0.979191 0.378270 2.589 0.009998 **
NAMEMadeline Kunz 4.837977 0.469178 10.312 < 2e-16 ***
NAMEMadeline Lage 3.087432 0.403519 7.651 1.58e-13 ***
NAMEMadeline Martin 5.484644 0.469178 11.690 < 2e-16 ***
NAMEMadelyn Blazo 1.699561 0.461991 3.679 0.000267 ***
NAMEMadelyn Hunter 2.651667 0.457822 5.792 1.44e-08 ***
NAMEMadelynne Cadeau 0.857894 0.461991 1.857 0.064074 .
NAMEMadi McKie 6.147977 0.469178 13.104 < 2e-16 ***
NAMEMadi Surber 0.908333 0.457822 1.984 0.047955 *
NAMEMadison Brouwer 0.966888 0.462796 2.089 0.037336 *
NAMEMadison Hulsey 1.719561 0.461991 3.722 0.000227 ***
NAMEMadison Nelson 2.304644 0.469178 4.912 1.33e-06 ***
NAMEMadison Relyea 1.716228 0.461991 3.715 0.000233 ***
NAMEMadison Trevena 1.615221 0.462796 3.490 0.000538 ***
NAMEMadison Trippett 0.094384 0.375842 0.251 0.801850
NAMEMadison Volz 1.920221 0.462796 4.149 4.10e-05 ***
NAMEMadisyn Ehrlich 2.367977 0.469178 5.047 6.90e-07 ***
NAMEMaebh Richardson 0.409424 0.462410 0.885 0.376481
NAMEMaelee Beacom 6.534644 0.469178 13.928 < 2e-16 ***
NAMEMaella Hodgson 0.904424 0.462410 1.956 0.051193 .
NAMEMaelle Porcher 0.056890 0.352651 0.161 0.871924
NAMEMaeve Stiles -0.210809 0.378270 -0.557 0.577645
NAMEMaggi Congdon -0.039258 0.400784 -0.098 0.922020
NAMEMaggie Reed 1.653555 0.462796 3.573 0.000397 ***
NAMEMaia Italia 4.299928 0.405719 10.598 < 2e-16 ***
NAMEMakayla Clark 1.373546 0.467769 2.936 0.003518 **
NAMEMakayla Little 5.512977 0.469178 11.750 < 2e-16 ***
NAMEMakenzie Kordic 1.824644 0.469178 3.889 0.000118 ***
NAMEMaleigha Huston 2.435221 0.462796 5.262 2.36e-07 ***
NAMEMalin Rahm 1.272894 0.461991 2.755 0.006141 **
NAMEMargaret Carroll 1.722757 0.462410 3.726 0.000224 ***
NAMEMargot Appleton -0.583077 0.461806 -1.263 0.207488
NAMEMariah Fenske 2.190221 0.462796 4.733 3.11e-06 ***
NAMEMarie Garret 2.431310 0.469178 5.182 3.53e-07 ***
NAMEMarie Hostetler 1.364561 0.461991 2.954 0.003331 **
NAMEMarika Couture 0.795449 0.375894 2.116 0.034966 *
NAMEMarina Trave 1.421228 0.461991 3.076 0.002244 **
NAMEMarissa Holm 3.562977 0.469178 7.594 2.33e-13 ***
NAMEMarissa Miles 4.959644 0.469178 10.571 < 2e-16 ***
NAMEMary Bonner Dalton 0.143242 0.400784 0.357 0.720983
NAMEMary Caroline Heinen 0.473659 0.400919 1.181 0.238153
NAMEMary Delaney 1.975000 0.457822 4.314 2.04e-05 ***
NAMEMary Ellen Eudaly 0.606090 0.462410 1.311 0.190725
NAMEMary Margaret Harris 1.826888 0.462796 3.948 9.37e-05 ***
NAMEMary O'Connor 4.727977 0.469178 10.077 < 2e-16 ***
NAMEMason Bina 3.481310 0.469178 7.420 7.43e-13 ***
NAMEMatilda Laidlaw 1.635221 0.462796 3.533 0.000460 ***
NAMEMattison Plummer 1.118555 0.462796 2.417 0.016110 *
NAMEMaud Lambotte 3.406310 0.469178 7.260 2.12e-12 ***
NAMEMckaylie Caesar -0.008996 0.375894 -0.024 0.980920
NAMEMcKenna Lovehaug 4.872977 0.469178 10.386 < 2e-16 ***
NAMEMcKenna Revord 1.616888 0.462796 3.494 0.000531 ***
NAMEMckenzie Bailey 1.971667 0.457822 4.307 2.10e-05 ***
NAMEMcKinley Wheeler 2.693546 0.467769 5.758 1.73e-08 ***
NAMEMeaghan Andrews 6.775221 0.462796 14.640 < 2e-16 ***
NAMEMegan Johnson 0.960221 0.462796 2.075 0.038659 *
NAMEMegan Marvin 1.112894 0.461991 2.409 0.016464 *
NAMEMegan Roberts 0.684424 0.462410 1.480 0.139650
NAMEMeghan Coulter 4.374644 0.469178 9.324 < 2e-16 ***
NAMEMeghan Dieball 1.595221 0.462796 3.447 0.000629 ***
NAMEMeghan Wheatley 1.328546 0.467769 2.840 0.004746 **
NAMEMelanie Pankow 2.500221 0.462796 5.402 1.15e-07 ***
NAMEMelissa Riggins -0.315993 0.400893 -0.788 0.431046
NAMEMelody Jebiwot 1.313242 0.400784 3.277 0.001145 **
NAMEMelody Ochana 1.443550 0.402833 3.583 0.000382 ***
NAMEMena Scatchard 0.253590 0.461806 0.549 0.583234
NAMEMercy Angaamchaab 2.326310 0.469178 4.958 1.06e-06 ***
NAMEMercy Kinyanjui -0.190091 0.400784 -0.474 0.635553
NAMEMercy Kipchumba 0.455256 0.461806 0.986 0.324836
NAMEMercy Kirarei -0.203425 0.400784 -0.508 0.612045
NAMEMeredith Richter 2.709099 0.403519 6.714 6.74e-11 ***
NAMEMeryeme Mai 2.184644 0.469178 4.656 4.42e-06 ***
NAMEMesa Casper 6.486310 0.469178 13.825 < 2e-16 ***
NAMEMia Barnett 0.109840 0.400893 0.274 0.784239
NAMEMia Chavez 1.773333 0.457822 3.873 0.000126 ***
NAMEMia Cochran -0.304258 0.400784 -0.759 0.448218
NAMEMia Heine 2.740000 0.457822 5.985 4.92e-09 ***
NAMEMia Loafman 3.488555 0.462796 7.538 3.39e-13 ***
NAMEMicah Dickens 3.966310 0.469178 8.454 5.74e-16 ***
NAMEMie Nielsen 1.436090 0.462410 3.106 0.002038 **
NAMEMillie Hill 1.496884 0.402833 3.716 0.000232 ***
NAMEMira Comstock 7.091310 0.469178 15.114 < 2e-16 ***
NAMEMira Fosmer 4.161310 0.469178 8.869 < 2e-16 ***
NAMEMiriam Sandeen 1.111888 0.462796 2.403 0.016749 *
NAMEMolly Caruso 2.889099 0.403519 7.160 4.06e-12 ***
NAMEMolly Dreher 0.725326 0.400919 1.809 0.071199 .
NAMEMolly Fitzpatrick 1.362894 0.461991 2.950 0.003369 **
NAMEMolly Hudson 0.920858 0.378270 2.434 0.015366 *
NAMEMolly Lashley 1.121228 0.461991 2.427 0.015680 *
NAMEMolly Malague 0.487409 0.400784 1.216 0.224669
NAMEMolly McClung 4.594644 0.469178 9.793 < 2e-16 ***
NAMEMolly Morris 4.701310 0.469178 10.020 < 2e-16 ***
NAMEMonse Guerrero-Chapula 2.957977 0.469178 6.305 7.85e-10 ***
NAMEMorgan Hicks 1.213590 0.461806 2.628 0.008931 **
NAMEMorgan Jensen 0.266004 0.375894 0.708 0.479581
NAMEMorgan Kirkland 2.406228 0.461991 5.208 3.09e-07 ***
NAMEMsgana Araya 0.939561 0.461991 2.034 0.042658 *
NAMEMya Bunke 1.196228 0.461991 2.589 0.009978 **
NAMEMya Kizer 2.053555 0.462796 4.437 1.19e-05 ***
NAMEMya Schweitzer 4.634644 0.469178 9.878 < 2e-16 ***
NAMEMya Trober 1.589928 0.405719 3.919 0.000105 ***
NAMEN Vanee Anchike 1.849644 0.469178 3.942 9.57e-05 ***
NAMENadia Phillips 0.819457 0.377708 2.170 0.030645 *
NAMENadia Potgieter 1.246888 0.462796 2.694 0.007360 **
NAMENaja Weiler 0.953555 0.462796 2.060 0.040023 *
NAMENancy Chepleting 0.729561 0.461991 1.579 0.115110
NAMENatalie Barnard 2.101888 0.462796 4.542 7.45e-06 ***
NAMENatalie Bitetti 0.024075 0.400784 0.060 0.952130
NAMENatalie Bogdanova Kirilova 4.774644 0.469178 10.177 < 2e-16 ***
NAMENatalie Briggs 5.907977 0.469178 12.592 < 2e-16 ***
NAMENatalie Cook 0.966667 0.457822 2.111 0.035371 *
NAMENatalie VanOtteren 1.841228 0.461991 3.985 8.04e-05 ***
NAMENatasha Perales 3.649644 0.469178 7.779 6.65e-14 ***
NAMENelah Roberts 0.121606 0.375842 0.324 0.746448
NAMENiamh O'Mahony 0.784840 0.400893 1.958 0.050976 .
NAMENicola Hogg 0.694075 0.400784 1.732 0.084103 .
NAMENicole Chastain 1.626090 0.462410 3.517 0.000489 ***
NAMENicole Dinan 1.876992 0.400919 4.682 3.94e-06 ***
NAMENicole Louw 1.010221 0.462796 2.183 0.029643 *
NAMENicole Matysik 0.736159 0.400919 1.836 0.067094 .
NAMENicole Vanasse -0.335576 0.462410 -0.726 0.468452
NAMENikita Moore 0.126575 0.400784 0.316 0.752309
NAMENikola Prochazkova 6.056310 0.469178 12.908 < 2e-16 ***
NAMENoelle Abels 2.274644 0.469178 4.848 1.80e-06 ***
NAMENonhlanhla Mabuza 2.007977 0.469178 4.280 2.36e-05 ***
NAMENontokozo Ncube 3.549644 0.469178 7.566 2.82e-13 ***
NAMENora Gremban 0.629909 0.400784 1.572 0.116835
NAMENova Ojutkangas 0.490221 0.462796 1.059 0.290138
NAMENyah Hernandez 1.826090 0.462410 3.949 9.31e-05 ***
NAMEOakley Olson 1.026228 0.461991 2.221 0.026905 *
NAMEOlivia Andrews 2.398333 0.457822 5.239 2.66e-07 ***
NAMEOlivia Correale 3.223555 0.462796 6.965 1.40e-11 ***
NAMEOlivia Howell 0.238242 0.400784 0.594 0.552563
NAMEOlivia Joly 0.948659 0.400919 2.366 0.018461 *
NAMEOlivia Millen 0.886575 0.400784 2.212 0.027540 *
NAMEOlivia Morganti 1.011090 0.462410 2.187 0.029369 *
NAMEOlivia Pielemeier 0.749909 0.400784 1.871 0.062081 .
NAMEOssly Murambidzi 1.993555 0.462796 4.308 2.09e-05 ***
NAMEOzia Trujillo 1.799644 0.469178 3.836 0.000146 ***
NAMEPaige Baker 2.071777 0.397927 5.206 3.13e-07 ***
NAMEPaige Jaszczak 2.393333 0.457822 5.228 2.81e-07 ***
NAMEPaityn Noe -0.761758 0.400784 -1.901 0.058084 .
NAMEPamela Kosgei -1.052591 0.400784 -2.626 0.008972 **
NAMEPatricia Mazzei 3.141888 0.462796 6.789 4.24e-11 ***
NAMEPaula Vaquera 0.992894 0.461991 2.149 0.032238 *
NAMEPauline Althoff 6.034644 0.469178 12.862 < 2e-16 ***
NAMEPayton Hinkle 1.448555 0.462796 3.130 0.001880 **
NAMEPayton Jorczak 4.881310 0.469178 10.404 < 2e-16 ***
NAMEPenelope Gracey 1.901090 0.462410 4.111 4.80e-05 ***
NAMEPenelope Salmon 0.396575 0.400784 0.989 0.323034
NAMEPenelope Sosa 1.778333 0.457822 3.884 0.000121 ***
NAMEPenelopea Gordon 0.459191 0.378270 1.214 0.225513
NAMEPeyten Woodruff 3.301667 0.457822 7.212 2.91e-12 ***
NAMEPeyton Bell 6.001310 0.469178 12.791 < 2e-16 ***
NAMEPeyton Mcquillan 1.733555 0.462796 3.746 0.000207 ***
NAMEPeyton Svehla 2.365221 0.462796 5.111 5.04e-07 ***
NAMEPheline Cheruto 0.040256 0.461806 0.087 0.930580
NAMEPhoebe Anderson -0.516827 0.400893 -1.289 0.198098
NAMEPraise Oyebanji 2.305221 0.462796 4.981 9.53e-07 ***
NAMERachael Woodruff 1.786228 0.461991 3.866 0.000129 ***
NAMERachel Ada 8.314644 0.469178 17.722 < 2e-16 ***
NAMERachel Fereday 2.844644 0.469178 6.063 3.16e-09 ***
NAMERachel Forsyth -0.234258 0.400784 -0.584 0.559223
NAMERachel Hughes 3.133555 0.462796 6.771 4.73e-11 ***
NAMERachel Sutliff 0.805256 0.461806 1.744 0.081999 .
NAMERahel Broemmel 0.776888 0.462796 1.679 0.094017 .
NAMEReagan Baesler 0.435221 0.462796 0.940 0.347587
NAMEReagan Berg 2.421888 0.462796 5.233 2.73e-07 ***
NAMEReagan Gilmore 0.593590 0.461806 1.285 0.199429
NAMEReagan Hiebert 1.904644 0.469178 4.060 5.95e-05 ***
NAMEReagan Riley 0.781923 0.461806 1.693 0.091221 .
NAMERebecca Bergnes 0.980256 0.461806 2.123 0.034414 *
NAMERebecca O'Keeffe 0.443590 0.461806 0.961 0.337373
NAMEReece Ewoldt 1.896310 0.469178 4.042 6.40e-05 ***
NAMEReese Kozisek 5.679644 0.469178 12.106 < 2e-16 ***
NAMEReese Ragland 2.487894 0.461991 5.385 1.26e-07 ***
NAMERegina Mpigachai 0.215783 0.402193 0.537 0.591908
NAMEReid Harvey-McKean 2.224644 0.469178 4.742 2.98e-06 ***
NAMERenee Ballard 2.840221 0.462796 6.137 2.07e-09 ***
NAMERenee Kafka 5.381310 0.469178 11.470 < 2e-16 ***
NAMERhaya Kaschinske 4.154644 0.469178 8.855 < 2e-16 ***
NAMERiley Beach 0.747217 0.357514 2.090 0.037263 *
NAMERiley Chamberlain -0.253394 0.375842 -0.674 0.500582
NAMERiley Doyle 3.416888 0.462796 7.383 9.48e-13 ***
NAMERiley Hiebert 1.679644 0.469178 3.580 0.000387 ***
NAMERiley Jaszczak 2.425000 0.457822 5.297 1.98e-07 ***
NAMERiley Linville 3.776888 0.462796 8.161 4.66e-15 ***
NAMERiley Ries 2.921667 0.457822 6.382 4.99e-10 ***
NAMERiley Stewart 0.202409 0.400784 0.505 0.613822
NAMERobyn Kowalski 1.401888 0.462796 3.029 0.002616 **
NAMERoisin Treacy 1.136888 0.462796 2.457 0.014463 *
NAMERory Clare 1.711090 0.462410 3.700 0.000246 ***
NAMERosanna Pugh 2.905000 0.457822 6.345 6.18e-10 ***
NAMERose Coats -0.124744 0.461806 -0.270 0.787210
NAMERosemary Arthur 2.494644 0.469178 5.317 1.78e-07 ***
NAMERosemary Shay 0.849424 0.462410 1.837 0.066980 .
NAMERoshni Singh 0.415303 0.378270 1.098 0.272927
NAMERosina Machu -0.458493 0.400893 -1.144 0.253460
NAMERuby Hughes 1.370594 0.358236 3.826 0.000152 ***
NAMERuby Little 2.327894 0.461991 5.039 7.19e-07 ***
NAMERushell Johnson 2.366888 0.462796 5.114 4.95e-07 ***
NAMERuth Kimeli 0.519295 0.397639 1.306 0.192343
NAMERylea Borgic 3.100221 0.462796 6.699 7.38e-11 ***
NAMERylee Penn 0.676228 0.461991 1.464 0.144077
NAMERylee Tolson 0.983659 0.400919 2.454 0.014585 *
NAMERylie Lusk 0.396414 0.378270 1.048 0.295305
NAMESadie Sigfstead -0.705993 0.400893 -1.761 0.079015 .
NAMESadie Tuckwood 0.712757 0.462410 1.541 0.124033
NAMESage Brooks 1.052757 0.462410 2.277 0.023348 *
NAMESage Patzer 4.091667 0.457822 8.937 < 2e-16 ***
NAMESam Poglitsch 1.115656 0.400605 2.785 0.005616 **
NAMESamantha Hastie 1.021992 0.400919 2.549 0.011182 *
NAMESamantha McDonnell 0.816090 0.462410 1.765 0.078371 .
NAMESamantha Prusse 1.239424 0.462410 2.680 0.007667 **
NAMESammy Ebell 3.202977 0.469178 6.827 3.35e-11 ***
NAMESara Crociani 3.193333 0.457822 6.975 1.32e-11 ***
NAMESarah Bertry 1.170221 0.462796 2.529 0.011847 *
NAMESarah Farrens 4.561310 0.469178 9.722 < 2e-16 ***
NAMESarah Forsyth 1.131228 0.461991 2.449 0.014782 *
NAMESarah Hosey 1.538555 0.462796 3.324 0.000970 ***
NAMESarah Mueller 5.567977 0.469178 11.868 < 2e-16 ***
NAMESarah Peer 0.954424 0.462410 2.064 0.039678 *
NAMESarah Schiffman 0.916228 0.461991 1.983 0.048046 *
NAMESarah Tait -0.051172 0.375842 -0.136 0.891771
NAMESasha Neglia 1.444424 0.462410 3.124 0.001920 **
NAMESaskia Lloyd 1.567894 0.461991 3.394 0.000760 ***
NAMESavannah Dennison 3.528333 0.457822 7.707 1.09e-13 ***
NAMESavannah Fischer 4.681310 0.469178 9.978 < 2e-16 ***
NAMESavannah Roark -0.044697 0.378270 -0.118 0.906000
NAMEScarlet Fetterolf 2.526310 0.469178 5.385 1.26e-07 ***
NAMEScarlett Martin 1.861090 0.462410 4.025 6.86e-05 ***
NAMEScarlett Riddle 2.724644 0.469178 5.807 1.32e-08 ***
NAMESelma Anderson 0.554075 0.400784 1.382 0.167618
NAMEShania Santos 5.889644 0.469178 12.553 < 2e-16 ***
NAMEShannen Dorn 3.007977 0.469178 6.411 4.19e-10 ***
NAMEShannon Flockhart -0.411827 0.400893 -1.027 0.304930
NAMEShantell Hafner 3.556310 0.469178 7.580 2.56e-13 ***
NAMEShea Ruhly 0.148636 0.378270 0.393 0.694582
NAMESheilah Bii 0.526667 0.457822 1.150 0.250697
NAMEShelby Lingle 3.724644 0.469178 7.939 2.21e-14 ***
NAMESheridan Wheeler 1.203550 0.357514 3.366 0.000837 ***
NAMESierra Bower 0.388659 0.400919 0.969 0.332938
NAMESilan Ayyildiz -0.629744 0.461806 -1.364 0.173465
NAMESilvia Jelego -0.291410 0.461806 -0.631 0.528396
NAMESiona Chisholm -0.229258 0.400784 -0.572 0.567636
NAMESivan Auerbach 0.699176 0.364209 1.920 0.055625 .
NAMESkye Ellis 1.091090 0.462410 2.360 0.018789 *
NAMESkyler Balzer 1.751888 0.462796 3.785 0.000178 ***
NAMESnegugu Mkhize 6.314644 0.469178 13.459 < 2e-16 ***
NAMESona Kourilova 1.515000 0.457822 3.309 0.001023 **
NAMESonya Rodekohr 5.959644 0.469178 12.702 < 2e-16 ***
NAMESophia Cino 1.308555 0.462796 2.827 0.004934 **
NAMESophia Gorriaran 1.479909 0.400784 3.693 0.000254 ***
NAMESophia Harrison 3.551888 0.462796 7.675 1.35e-13 ***
NAMESophia Kennedy -0.424258 0.400784 -1.059 0.290452
NAMESophia Lucki 0.777409 0.400784 1.940 0.053136 .
NAMESophia McDonnell 0.568242 0.400784 1.418 0.157042
NAMESophia Pelligreen 1.631888 0.462796 3.526 0.000472 ***
NAMESophia Toti 0.378173 0.400893 0.943 0.346099
NAMESophia Valentine 3.634644 0.469178 7.747 8.27e-14 ***
NAMESophie Atkinson 0.700673 0.400893 1.748 0.081291 .
NAMESophie Baumann 1.224561 0.461991 2.651 0.008363 **
NAMESophie Coughlin 1.653555 0.462796 3.573 0.000397 ***
NAMESophie Krueger 3.300221 0.462796 7.131 4.89e-12 ***
NAMESophie O'Sullivan 0.187409 0.400784 0.468 0.640329
NAMESophie Rodriguez 3.372977 0.469178 7.189 3.36e-12 ***
NAMEStarr Scott 2.216888 0.462796 4.790 2.37e-06 ***
NAMEStina Pettersson 1.599424 0.462410 3.459 0.000602 ***
NAMESummer Olson 2.114644 0.469178 4.507 8.71e-06 ***
NAMESummer Schuster 1.002894 0.461991 2.171 0.030550 *
NAMESydney Beaudin 4.012977 0.469178 8.553 2.78e-16 ***
NAMESydney Masciarelli 0.896507 0.400893 2.236 0.025900 *
NAMESydney Morrell 0.981879 0.467769 2.099 0.036455 *
NAMESydney Thorvaldson 0.008590 0.461806 0.019 0.985170
NAMESydni Wilkins 0.994909 0.400784 2.482 0.013471 *
NAMETabitha Fox 2.346888 0.462796 5.071 6.13e-07 ***
NAMETabitha Ngao 1.048333 0.457822 2.290 0.022566 *
NAMETalissa Tanquary 3.644644 0.469178 7.768 7.15e-14 ***
NAMETaryn Parks -0.001827 0.400893 -0.005 0.996367
NAMETatum David 0.473173 0.400893 1.180 0.238603
NAMETaya Skelton 1.327432 0.403519 3.290 0.001095 **
NAMETaylor Briggs 1.028217 0.357514 2.876 0.004249 **
NAMETaylor Ewert 0.482409 0.400784 1.204 0.229452
NAMETaylor Limbaugh 1.813333 0.457822 3.961 8.88e-05 ***
NAMETaylor Lovell 0.108828 0.375842 0.290 0.772309
NAMETaylor Pangburn 1.459561 0.461991 3.159 0.001705 **
NAMETaylor Rohatinsky -0.164505 0.375842 -0.438 0.661848
NAMETaylor Rorick 2.743555 0.462796 5.928 6.76e-09 ***
NAMETaylor Thorp 7.277977 0.469178 15.512 < 2e-16 ***
NAMETaytum Goodman 1.633333 0.457822 3.568 0.000405 ***
NAMETecla Lokrale 1.268333 0.457822 2.770 0.005868 **
NAMETegan Bishop 4.616888 0.462796 9.976 < 2e-16 ***
NAMETeigan Davis 4.814644 0.469178 10.262 < 2e-16 ***
NAMETeresa Perez 1.579424 0.462410 3.416 0.000703 ***
NAMETessa Roe 1.396888 0.462796 3.018 0.002709 **
NAMETheresa Berger 6.339644 0.469178 13.512 < 2e-16 ***
NAMETia Wilson -0.024258 0.400784 -0.061 0.951767
NAMETiana LoStracco 1.391575 0.400784 3.472 0.000574 ***
NAMETilly O'Connor 1.131090 0.462410 2.446 0.014884 *
NAMETilly Simpson 0.564909 0.400784 1.410 0.159483
NAMETori Herman 1.675326 0.400919 4.179 3.62e-05 ***
NAMETori Wingrove 1.649277 0.397927 4.145 4.18e-05 ***
NAMETrixie Johnson 3.795221 0.462796 8.201 3.52e-15 ***
NAMETyla Lumley 1.003550 0.402833 2.491 0.013146 *
NAMETyrah American Horse 3.884644 0.469178 8.280 2.00e-15 ***
NAMEUmahan Sahin 3.746310 0.469178 7.985 1.60e-14 ***
NAMEVanessa Lee 4.617977 0.469178 9.843 < 2e-16 ***
NAMEVera Sjoberg -0.349744 0.461806 -0.757 0.449305
NAMEVictoria Lagat 0.148760 0.364209 0.408 0.683171
NAMEVivian Wyller 2.045221 0.462796 4.419 1.29e-05 ***
NAMEWeronika Stanczak 3.578555 0.462796 7.732 9.12e-14 ***
NAMEWhitney Cure 6.721310 0.469178 14.326 < 2e-16 ***
NAMEWhitney Valenti 1.963333 0.457822 4.288 2.27e-05 ***
NAMEWillow Collins 0.338173 0.400893 0.844 0.399439
NAMEWilma Nielsen 0.179007 0.400893 0.447 0.655470
NAMEYasmine Abbes 1.834840 0.400893 4.577 6.36e-06 ***
NAMEYenifer Juan Jesus 5.041310 0.469178 10.745 < 2e-16 ***
NAMEZenah Cheptoo -0.286410 0.461806 -0.620 0.535491
NAMEZoe Cooper 0.603242 0.400784 1.505 0.133095
NAMEZofia Dudek -0.115091 0.400784 -0.287 0.774138
NAMEZoie Ecord 3.102977 0.469178 6.614 1.24e-10 ***
NAMEZoie Kiddy 2.466888 0.462796 5.330 1.66e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.3237 on 389 degrees of freedom
Multiple R-squared: 0.9828, Adjusted R-squared: 0.9413
F-statistic: 23.66 on 940 and 389 DF, p-value: < 2.2e-16
We can use emmeans to obtain estimates for fixed effects.
<- emmeans (mf, ~ race)
race emmean SE df lower.CL upper.CL
2024CyclonePreview 18.24 0.07827 389 18.09 18.39
2024GreenoDirksenCrossCountryInvitational 18.61 0.07000 389 18.47 18.75
2024NuttycombeInvitationalChampionship 22.71 0.04488 389 22.62 22.80
2024WisconsinPreNationalsChampionship 22.11 0.04187 389 22.02 22.19
2024_Big_12_Conference_Cross_Country_Championship 22.09 0.05211 389 21.99 22.19
2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 21.80 0.04252 389 21.72 21.88
2024_NCAA_Division_I_Cross_Country_Championships 22.42 0.04092 389 22.34 22.50
Results are averaged over the levels of: NAME
Confidence level used: 0.95
<- emmeans (mf, ~ NAME)|> as.data.frame () |> filter (NAME %in% cyclone_athletes) |> arrange (emmean)
NAME emmean SE df lower.CL upper.CL
Maelle Porcher 19.20961 0.1327525 389 18.94860 19.47061
Bella Heikes 19.81860 0.1453406 389 19.53285 20.10435
Riley Beach 19.89993 0.1453406 389 19.61418 20.18568
Sydney Morrell 20.13460 0.3310639 389 19.48370 20.78549
Taylor Briggs 20.18093 0.1453406 389 19.89518 20.46668
Claire White 20.20960 0.3310639 389 19.55870 20.86049
Sheridan Wheeler 20.35627 0.1453406 389 20.07052 20.64202
Kiki Connell 20.51283 0.2310239 389 20.05861 20.96704
Aspen Fulbright 20.51322 0.1895076 389 20.14064 20.88581
Ruby Hughes 20.52331 0.1454381 389 20.23737 20.80925
Makayla Clark 20.52626 0.3310639 389 19.87536 21.17716
Becca Heitzig 20.60371 0.1881850 389 20.23372 20.97369
Ashlyn Keeney 20.64507 0.1628222 389 20.32495 20.96519
Mya Trober 20.74264 0.2348579 389 20.28090 21.20439
Keelee Leitzen 20.84348 0.2348579 389 20.38173 21.30523
Camryn Sattler 21.04764 0.2348579 389 20.58590 21.50939
Josie Baker 21.12300 0.1882554 389 20.75288 21.49313
Results are averaged over the levels of: race
Confidence level used: 0.95
Linear regression (log)
<- lm (log (minutes) ~ race + NAME, data = cc)
While we can run F-tests, these are not so relevant because we already knew (or highly suspected) that there would be differences in mean time among races and runners.
# Sequential F-tests with null hypothesis of no effect anova (ml)
Analysis of Variance Table
Response: log(minutes)
Df Sum Sq Mean Sq F value Pr(>F)
race 6 1.5139 0.252321 1116.526 < 2.2e-16 ***
NAME 934 3.6634 0.003922 17.356 < 2.2e-16 ***
Residuals 389 0.0879 0.000226
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Looking at model summary is difficult due to there being so many runners.
Call:
lm(formula = log(minutes) ~ race + NAME, data = cc)
Residuals:
Min 1Q Median 3Q Max
-0.048215 -0.000308 0.000000 0.000384 0.086108
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2.8047938 0.0156793 178.885 < 2e-16 ***
race2024GreenoDirksenCrossCountryInvitational 0.0224850 0.0046060 4.882 1.54e-06 ***
race2024NuttycombeInvitationalChampionship 0.2258640 0.0044175 51.129 < 2e-16 ***
race2024WisconsinPreNationalsChampionship 0.1972988 0.0043743 45.104 < 2e-16 ***
race2024_Big_12_Conference_Cross_Country_Championship 0.1960919 0.0044557 44.009 < 2e-16 ***
race2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 0.1816349 0.0039616 45.849 < 2e-16 ***
race2024_NCAA_Division_I_Cross_Country_Championships 0.2122926 0.0043751 48.523 < 2e-16 ***
NAMEAbbi Hutchinson 0.1079955 0.0217870 4.957 1.07e-06 ***
NAMEAbby Clements 0.0995069 0.0212597 4.681 3.96e-06 ***
NAMEAbby Jepchirchir 0.0479632 0.0214906 2.232 0.026196 *
NAMEAbby Lewis 0.0268376 0.0175656 1.528 0.127362
NAMEAbby Loveys 0.0209042 0.0175656 1.190 0.234746
NAMEAbby Ryon 0.1102042 0.0214906 5.128 4.63e-07 ***
NAMEAbby Sadler 0.0964971 0.0214533 4.498 9.07e-06 ***
NAMEAbigail Hancock 0.0385387 0.0214906 1.793 0.073705 .
NAMEAbigail Street 0.1513517 0.0212597 7.119 5.28e-12 ***
NAMEAbigail White 0.1504592 0.0217870 6.906 2.04e-11 ***
NAMEAbigail Whitman 0.0290069 0.0214533 1.352 0.177131
NAMEAddison Boyer 0.0751105 0.0175656 4.276 2.40e-05 ***
NAMEAddison Dorenkamp 0.0019554 0.0214447 0.091 0.927393
NAMEAdelyn Fairley 0.0021243 0.0186110 0.114 0.909184
NAMEAdrien Martens 0.1259007 0.0214906 5.858 9.96e-09 ***
NAMEAgnes McTighe 0.0045243 0.0186110 0.243 0.808057
NAMEAiden Harrand 0.0597264 0.0186173 3.208 0.001447 **
NAMEAiley Mitchell 0.0413673 0.0214906 1.925 0.054971 .
NAMEAinhoa Brea 0.0526945 0.0214533 2.456 0.014476 *
NAMEAinsley Anderson 0.1979314 0.0217870 9.085 < 2e-16 ***
NAMEAlaina Zamorano 0.1497113 0.0212597 7.042 8.64e-12 ***
NAMEAlaire Serell 0.2192258 0.0217870 10.062 < 2e-16 ***
NAMEAlayna Behrman 0.1631896 0.0217870 7.490 4.66e-13 ***
NAMEAlayna Sparr 0.1701461 0.0214906 7.917 2.56e-14 ***
NAMEAlea Hardie 0.0989157 0.0214906 4.603 5.65e-06 ***
NAMEAleah Miller 0.1018828 0.0214906 4.741 2.99e-06 ***
NAMEAleah Tenpas 0.1423765 0.0214906 6.625 1.16e-10 ***
NAMEAlex Bauer 0.0879486 0.0214447 4.101 5.01e-05 ***
NAMEAlex Carlson -0.0026134 0.0186110 -0.140 0.888398
NAMEAlex Millard -0.0189008 0.0186161 -1.015 0.310596
NAMEAlex Sharp 0.0820321 0.0214533 3.824 0.000153 ***
NAMEAlexa Rios 0.1522943 0.0184784 8.242 2.63e-15 ***
NAMEAlexi Fogo 0.0442479 0.0186161 2.377 0.017944 *
NAMEAlexia (Lex) Escalera Mack 0.1052693 0.0212597 4.952 1.10e-06 ***
NAMEAlexis Lamb 0.0609141 0.0184650 3.299 0.001060 **
NAMEAlexis Leone 0.1466714 0.0214906 6.825 3.39e-11 ***
NAMEAlexis O'Mara 0.2453374 0.0217870 11.261 < 2e-16 ***
NAMEAli Bainbridge 0.0154111 0.0175930 0.876 0.381582
NAMEAli Gillooly 0.0852610 0.0214906 3.967 8.65e-05 ***
NAMEAli Ince 0.0171857 0.0186161 0.923 0.356494
NAMEAli Weimer -0.0123570 0.0175394 -0.705 0.481526
NAMEAliandrea Upshaw -0.0191210 0.0186110 -1.027 0.304869
NAMEAlicen Ashley 0.1207704 0.0214906 5.620 3.65e-08 ***
NAMEAlicia Rivera Camargo 0.2052675 0.0217870 9.422 < 2e-16 ***
NAMEAlisa Lyesina 0.1359121 0.0212597 6.393 4.66e-10 ***
NAMEAlison Stepanek 0.1985785 0.0217870 9.115 < 2e-16 ***
NAMEAlivia Edens 0.2130284 0.0217870 9.778 < 2e-16 ***
NAMEAlli Boehm 0.0506284 0.0186173 2.719 0.006833 **
NAMEAllie Czapla 0.2215992 0.0217870 10.171 < 2e-16 ***
NAMEAllie Warner 0.0516727 0.0214533 2.409 0.016477 *
NAMEAllie Zealand 0.0140141 0.0214533 0.653 0.513990
NAMEAllison Dougherty 0.0549237 0.0186161 2.950 0.003366 **
NAMEAllison Hall 0.1052556 0.0214533 4.906 1.37e-06 ***
NAMEAllison Newman 0.0674152 0.0214906 3.137 0.001837 **
NAMEAllison Wilson 0.0150900 0.0186110 0.811 0.417971
NAMEAllyson Taylor 0.3653215 0.0217870 16.768 < 2e-16 ***
NAMEAlmi Nerurkar 0.0091568 0.0186161 0.492 0.623086
NAMEAlyson Churchill 0.0112340 0.0214533 0.524 0.600820
NAMEAlyssa Ferguson 0.2912609 0.0217870 13.369 < 2e-16 ***
NAMEAlyssa Kulesa 0.1914373 0.0217870 8.787 < 2e-16 ***
NAMEAmalia Malecek 0.1169368 0.0214727 5.446 9.16e-08 ***
NAMEAmanda Cooper 0.1421885 0.0212597 6.688 7.88e-11 ***
NAMEAmanda Treptow 0.1329951 0.0214906 6.189 1.54e-09 ***
NAMEAmber Aesoph 0.0858016 0.0214906 3.993 7.82e-05 ***
NAMEAmelia Arrieta 0.0491092 0.0214727 2.287 0.022729 *
NAMEAmelia Montgomery 0.1531153 0.0214906 7.125 5.09e-12 ***
NAMEAmina Maatoug 0.0026955 0.0175656 0.153 0.878122
NAMEAmy Bunnage -0.0457322 0.0214447 -2.133 0.033586 *
NAMEAna Keller 0.1964745 0.0214906 9.142 < 2e-16 ***
NAMEAnastacia Gonzales 0.0578968 0.0186110 3.111 0.002003 **
NAMEAnastasia Chepkorir 0.0053744 0.0212597 0.253 0.800560
NAMEAnastasia Kirillov 0.0760448 0.0176874 4.299 2.17e-05 ***
NAMEAnastaysia Davis 0.0157782 0.0184675 0.854 0.393423
NAMEAndie-Marie Jones 0.0432665 0.0186110 2.325 0.020598 *
NAMEAngelina Napoleon 0.0109978 0.0186110 0.591 0.554912
NAMEAngelina Perez 0.0240759 0.0186173 1.293 0.196709
NAMEAngeline Gutierrez 0.1918444 0.0217870 8.805 < 2e-16 ***
NAMEAnika Nettekoven 0.1283451 0.0214906 5.972 5.29e-09 ***
NAMEAnika Thompson -0.0007642 0.0186161 -0.041 0.967278
NAMEAniya Mosley 0.0005704 0.0214447 0.027 0.978792
NAMEAnjali Hocker Singh 0.0483428 0.0214727 2.251 0.024920 *
NAMEAnn Claire Cop 0.1197156 0.0212597 5.631 3.44e-08 ***
NAMEAnna Gardiner 0.0139326 0.0214447 0.650 0.516271
NAMEAnna Garner 0.1451327 0.0212597 6.827 3.35e-11 ***
NAMEAnna Grabowski 0.0427155 0.0214447 1.992 0.047081 *
NAMEAnna Martin 0.0171121 0.0214533 0.798 0.425564
NAMEAnna Perry 0.0427384 0.0214906 1.989 0.047435 *
NAMEAnna Petr 0.0198678 0.0214447 0.926 0.354778
NAMEAnna Sentner 0.0604666 0.0175656 3.442 0.000639 ***
NAMEAnnaka Schlachter 0.2107144 0.0217870 9.672 < 2e-16 ***
NAMEAnnalynn Earley 0.3181658 0.0217870 14.603 < 2e-16 ***
NAMEAnnastasia Peters 0.0002314 0.0174552 0.013 0.989429
NAMEAnneken Viljoen 0.0909604 0.0214906 4.233 2.89e-05 ***
NAMEAnnelies Quinton 0.0369839 0.0186110 1.987 0.047600 *
NAMEAnnika Cutforth 0.0126473 0.0175656 0.720 0.471954
NAMEAnnika Muller 0.1959876 0.0217870 8.996 < 2e-16 ***
NAMEAnnika Staab 0.1800526 0.0217870 8.264 2.24e-15 ***
NAMEAoife Dunne 0.0211911 0.0175656 1.206 0.228396
NAMEAri Trimble 0.0413976 0.0214533 1.930 0.054376 .
NAMEArianne Olson 0.0073782 0.0214533 0.344 0.731091
NAMEAshley Jones -0.0029749 0.0186110 -0.160 0.873085
NAMEAshley Tarasenko 0.2575314 0.0212597 12.114 < 2e-16 ***
NAMEAshlyn Keeney 0.0707937 0.0169738 4.171 3.75e-05 ***
NAMEAspen Fulbright 0.0638759 0.0175618 3.637 0.000313 ***
NAMEAstrid Van Breedam 0.0956342 0.0214906 4.450 1.12e-05 ***
NAMEAubrie Custer 0.1346086 0.0212597 6.332 6.70e-10 ***
NAMEAudrey Boles 0.1569330 0.0214906 7.302 1.61e-12 ***
NAMEAudrey Dadamio 0.0476543 0.0214533 2.221 0.026905 *
NAMEAudrey DaDamio 0.0474721 0.0214447 2.214 0.027429 *
NAMEAudrey Ginsberg 0.0962455 0.0214906 4.478 9.89e-06 ***
NAMEAudrey Suarez 0.1044354 0.0214533 4.868 1.64e-06 ***
NAMEAutumn Simons 0.2315065 0.0217870 10.626 < 2e-16 ***
NAMEAva Brackhan 0.2740140 0.0217870 12.577 < 2e-16 ***
NAMEAva Criniti 0.0323593 0.0186027 1.739 0.082740 .
NAMEAva Earl 0.0209610 0.0186027 1.127 0.260534
NAMEAva Gordon 0.0195511 0.0214533 0.911 0.362684
NAMEAva Klaassen 0.2318194 0.0217870 10.640 < 2e-16 ***
NAMEAva Mitchell 0.0218222 0.0214533 1.017 0.309693
NAMEAva Quattrocchi 0.1252168 0.0212597 5.890 8.37e-09 ***
NAMEAva Santora 0.1205978 0.0212597 5.673 2.75e-08 ***
NAMEAvery Latto 0.0874258 0.0212597 4.112 4.78e-05 ***
NAMEAvril Andre 0.0164641 0.0186027 0.885 0.376685
NAMEAyianna Olivas 0.1559591 0.0217870 7.158 4.10e-12 ***
NAMEBailey Cutler 0.2788015 0.0217870 12.797 < 2e-16 ***
NAMEBailey Wilk 0.1239707 0.0214906 5.769 1.63e-08 ***
NAMEBarbara Neiva 0.1218858 0.0217870 5.594 4.18e-08 ***
NAMEBarrett Justema 0.0125558 0.0186161 0.674 0.500419
NAMEBecca Heitzig 0.0676201 0.0174809 3.868 0.000128 ***
NAMEBella Gomez 0.1957443 0.0217870 8.984 < 2e-16 ***
NAMEBella Heikes 0.0309671 0.0166017 1.865 0.062893 .
NAMEBella Jacobsen 0.0196791 0.0175656 1.120 0.263267
NAMEBella Wiltfong 0.2961868 0.0217870 13.595 < 2e-16 ***
NAMEBerlyn Schutz 0.0555964 0.0187380 2.967 0.003193 **
NAMEBeth Arentz 0.0683606 0.0214533 3.186 0.001556 **
NAMEBethan Morley 0.0217244 0.0186110 1.167 0.243809
NAMEBethani Grove 0.2618679 0.0217870 12.019 < 2e-16 ***
NAMEBethany Michalak 0.0307157 0.0186110 1.650 0.099667 .
NAMEBeverlyne Kiptarus 0.3424068 0.0217870 15.716 < 2e-16 ***
NAMEBieke Schipperen -0.0081277 0.0175656 -0.463 0.643833
NAMEBlezzin Kimutai -0.0026721 0.0186110 -0.144 0.885908
NAMEBreanna Burak 0.0733223 0.0176874 4.145 4.17e-05 ***
NAMEBree Newport 0.1077294 0.0184784 5.830 1.17e-08 ***
NAMEBrenda Jepchirchir -0.0281270 0.0214447 -1.312 0.190426
NAMEBrenda Torres 0.0740765 0.0214906 3.447 0.000629 ***
NAMEBrenda Tuwei -0.0223546 0.0214447 -1.042 0.297859
NAMEBrianna Nieset 0.1466714 0.0214906 6.825 3.39e-11 ***
NAMEBrianne Brewster 0.0428975 0.0175394 2.446 0.014897 *
NAMEBrighton Mooney 0.0739244 0.0186110 3.972 8.49e-05 ***
NAMEBrigid McCabe 0.0897228 0.0214727 4.178 3.63e-05 ***
NAMEBrodie Denny 0.2065822 0.0214906 9.613 < 2e-16 ***
NAMEBrooke Elfert 0.1004423 0.0217870 4.610 5.46e-06 ***
NAMEBrooke Johnston 0.0451446 0.0186173 2.425 0.015768 *
NAMEBrooke Morabito -0.0019601 0.0214447 -0.091 0.927220
NAMEBrooke Mullins 0.0238679 0.0175656 1.359 0.175001
NAMEBrooke O'Brien 0.1393488 0.0187062 7.449 6.12e-13 ***
NAMEBrooke Rauber 0.0096096 0.0186110 0.516 0.605911
NAMEBrooke Wigdahl 0.2030964 0.0217870 9.322 < 2e-16 ***
NAMEBrooke Wilson 0.0085375 0.0186173 0.459 0.646794
NAMEBrooklyn Bender 0.1492829 0.0214906 6.946 1.58e-11 ***
NAMEBrooklyn Brandt 0.3951241 0.0217870 18.136 < 2e-16 ***
NAMEBrooklyn Hanania 0.1192006 0.0212597 5.607 3.91e-08 ***
NAMEBrynn Brown -0.0173156 0.0186161 -0.930 0.352875
NAMEBrynn Hirschfeld 0.1040927 0.0217870 4.778 2.52e-06 ***
NAMEBrynna McQuillen 0.0375917 0.0187380 2.006 0.045530 *
NAMEBrynne Marie Purvis 0.5100317 0.0217870 23.410 < 2e-16 ***
NAMECadence Kasprick 0.0546867 0.0214727 2.547 0.011256 *
NAMECadence Patterson 0.0830101 0.0212597 3.905 0.000111 ***
NAMECadynce Shipman 0.2154961 0.0217870 9.891 < 2e-16 ***
NAMECaila Odekirk 0.0255420 0.0214533 1.191 0.234541
NAMECalla Wittland 0.1709504 0.0217870 7.846 4.18e-14 ***
NAMECallie Kirchner 0.2436383 0.0217870 11.183 < 2e-16 ***
NAMECallie Tucker 0.0868264 0.0214533 4.047 6.25e-05 ***
NAMECameron McConnell 0.0395491 0.0174528 2.266 0.023997 *
NAMECami Merickel 0.0665136 0.0187380 3.550 0.000433 ***
NAMECamille Jackson 0.1862636 0.0214906 8.667 < 2e-16 ***
NAMECamryn Bodine 0.1590763 0.0217870 7.301 1.62e-12 ***
NAMECamryn Menninger 0.0261464 0.0186161 1.405 0.160966
NAMECamryn Sattler 0.0924490 0.0188402 4.907 1.36e-06 ***
NAMECara Laverty 0.0341176 0.0186161 1.833 0.067613 .
NAMECara Super 0.1962308 0.0217870 9.007 < 2e-16 ***
NAMECarlee Hansen -0.0008460 0.0184650 -0.046 0.963481
NAMECarlie Gregg 0.1297126 0.0217870 5.954 5.86e-09 ***
NAMECarly Henderson 0.1762563 0.0217870 8.090 7.69e-15 ***
NAMECarly Holadia 0.1568868 0.0217870 7.201 3.11e-12 ***
NAMECarly Manchester 0.1132130 0.0214906 5.268 2.29e-07 ***
NAMECarly Wilkes -0.0144113 0.0186173 -0.774 0.439353
NAMECarmen Alder -0.0134727 0.0174528 -0.772 0.440612
NAMECarmen Krawczynski Gonzalez 0.0523534 0.0175656 2.980 0.003059 **
NAMECaroline Jeptanui -0.0423346 0.0186110 -2.275 0.023467 *
NAMECaroline Lehman 0.0243306 0.0214533 1.134 0.257443
NAMECaroline Lyerly 0.0219448 0.0214447 1.023 0.306792
NAMECaroline Mehlhorn 0.0535871 0.0212597 2.521 0.012115 *
NAMECaroline Towle 0.0372578 0.0214533 1.737 0.083233 .
NAMECaroline Wells 0.0267385 0.0186110 1.437 0.151606
NAMECarolyn Shult 0.0136016 0.0186161 0.731 0.465440
NAMECarrigan Eberly 0.1197883 0.0217870 5.498 6.96e-08 ***
NAMECarrington Hessen 0.1651005 0.0187380 8.811 < 2e-16 ***
NAMECate DeSousa 0.0325051 0.0186161 1.746 0.081588 .
NAMECatherine Lyon 0.2219942 0.0217870 10.189 < 2e-16 ***
NAMECecilia Fisher 0.0931821 0.0184784 5.043 7.05e-07 ***
NAMECeili McCabe -0.0465126 0.0174528 -2.665 0.008018 **
NAMECelestine kiborus 0.2024522 0.0217870 9.292 < 2e-16 ***
NAMECharis Robinson 0.1171602 0.0217870 5.378 1.31e-07 ***
NAMECharlee Lind 0.1624354 0.0217870 7.456 5.87e-13 ***
NAMECharlotte Cullen 0.0751693 0.0214906 3.498 0.000523 ***
NAMECharlotte Sinke 0.0219273 0.0214727 1.021 0.307808
NAMECharlotte Tomkinson 0.0051312 0.0186161 0.276 0.782976
NAMEChiara Belfico 0.1395482 0.0176874 7.890 3.10e-14 ***
NAMEChloe Foerster 0.0048829 0.0175656 0.278 0.781176
NAMEChloe Gonzalez 0.0846337 0.0214727 3.941 9.60e-05 ***
NAMEChloe Hershenow 0.0287794 0.0214906 1.339 0.181301
NAMEChloe Scrimgeour -0.0265342 0.0214447 -1.237 0.216710
NAMEChloe Thomas -0.0412777 0.0186110 -2.218 0.027137 *
NAMEChloe Trudel 0.0811926 0.0214533 3.785 0.000178 ***
NAMEChloe Wellings 0.0161053 0.0186027 0.866 0.387162
NAMEChristina Allen 0.1086960 0.0212597 5.113 4.99e-07 ***
NAMEChristina Martinson 0.2412391 0.0217870 11.073 < 2e-16 ***
NAMEChristina Nisoli 0.0146563 0.0214447 0.683 0.494731
NAMEChristine Jerono 0.0649169 0.0184784 3.513 0.000495 ***
NAMECiara O'Shea 0.0246467 0.0186161 1.324 0.186299
NAMEClaire Beikmann 0.2372019 0.0217870 10.887 < 2e-16 ***
NAMEClaire Curtsinger 0.0214074 0.0212597 1.007 0.314586
NAMEClaire Daniels 0.0305559 0.0186161 1.641 0.101528
NAMEClaire Nowels 0.1097645 0.0217870 5.038 7.21e-07 ***
NAMEClaire White 0.0464906 0.0217216 2.140 0.032953 *
NAMEClaire Yerby 0.1206527 0.0214727 5.619 3.67e-08 ***
NAMEClaire Zubey 0.0594752 0.0214727 2.770 0.005878 **
NAMEClara Diepenbrock 0.1921252 0.0212597 9.037 < 2e-16 ***
NAMEClara Gillen 0.1259749 0.0214906 5.862 9.78e-09 ***
NAMEClare Wright 0.1485528 0.0217216 6.839 3.10e-11 ***
NAMEColbi Borland 0.0124623 0.0175656 0.709 0.478455
NAMEColleen Kelly 0.1551994 0.0217870 7.123 5.13e-12 ***
NAMEColleen Stegmann 0.0188453 0.0169126 1.114 0.265851
NAMEConstance O'Neal 0.0492006 0.0217870 2.258 0.024483 *
NAMECordelia Hoover 0.1765115 0.0214906 8.213 3.21e-15 ***
NAMECorinne Mead 0.1978505 0.0217870 9.081 < 2e-16 ***
NAMECourtney Anthonies 0.2495009 0.0214906 11.610 < 2e-16 ***
NAMECourtney Stadter 0.0507654 0.0214906 2.362 0.018658 *
NAMECynthia Chaparro Belloc 0.2227049 0.0217870 10.222 < 2e-16 ***
NAMEDani Ahrens 0.2131081 0.0217870 9.781 < 2e-16 ***
NAMEDanie Parriott 0.1700356 0.0217870 7.804 5.58e-14 ***
NAMEDaniela Martinez 0.0863418 0.0214906 4.018 7.06e-05 ***
NAMEDaniella Hubble 0.0892871 0.0186027 4.800 2.27e-06 ***
NAMEDaniella Santos 0.0062610 0.0214447 0.292 0.770471
NAMEDanna Diaz 0.0524588 0.0214533 2.445 0.014918 *
NAMEDari Cook 0.4484183 0.0217870 20.582 < 2e-16 ***
NAMEDelaney Catron 0.2583704 0.0217870 11.859 < 2e-16 ***
NAMEDelaney Fitzgerald 0.0761139 0.0184784 4.119 4.65e-05 ***
NAMEDelia McDade Clay 0.0592835 0.0214906 2.759 0.006080 **
NAMEDestiny Everett -0.0054868 0.0212597 -0.258 0.796480
NAMEDiana Messick 0.2399211 0.0217870 11.012 < 2e-16 ***
NAMEDorcas Kiptanui 0.0304963 0.0184784 1.650 0.099672 .
NAMEDoris Lemngole -0.0543940 0.0214447 -2.536 0.011588 *
NAMEEden Mueller 0.0952125 0.0187062 5.090 5.59e-07 ***
NAMEEden Schwarz 0.1309788 0.0212597 6.161 1.81e-09 ***
NAMEEileen Seebon 0.0710256 0.0214906 3.305 0.001038 **
NAMEEimear McCarroll 0.0551529 0.0214906 2.566 0.010650 *
NAMEEimy Martinez 0.0305501 0.0214727 1.423 0.155613
NAMEEleanor Kendell 0.0526115 0.0186110 2.827 0.004943 **
NAMEElena Horn 0.1773071 0.0212597 8.340 1.30e-15 ***
NAMEElena Torres 0.0679655 0.0214906 3.163 0.001687 **
NAMEEliana Malnourie 0.0490050 0.0214906 2.280 0.023131 *
NAMEElise Smoot 0.0529327 0.0214727 2.465 0.014128 *
NAMEElise Stearns -0.0198553 0.0214447 -0.926 0.355081
NAMEEliza Sybrowsky 0.0722968 0.0214533 3.370 0.000827 ***
NAMEElizabeth Barlow 0.0157161 0.0175656 0.895 0.371494
NAMEElizabeth Pickett 0.0294941 0.0186110 1.585 0.113832
NAMEElizabeth Stockman 0.0692202 0.0186110 3.719 0.000229 ***
NAMEElizabeth Whaley 0.0258560 0.0214727 1.204 0.229271
NAMEElizabeth Zwahlen 0.0452038 0.0214533 2.107 0.035750 *
NAMEElla Borsheim 0.0635485 0.0186161 3.414 0.000708 ***
NAMEElla Buhlke 0.0752411 0.0217870 3.453 0.000614 ***
NAMEElla Cronhardt 0.1549900 0.0214906 7.212 2.90e-12 ***
NAMEElla Easton 0.3216037 0.0217870 14.761 < 2e-16 ***
NAMEElla Fadil 0.0438071 0.0186173 2.353 0.019118 *
NAMEElla Gilson 0.0310643 0.0186110 1.669 0.095895 .
NAMEElla Perry 0.1058661 0.0212597 4.980 9.59e-07 ***
NAMEEllaney Matarese 0.0440127 0.0186110 2.365 0.018526 *
NAMEElle Sondag 0.1261973 0.0214906 5.872 9.23e-09 ***
NAMEEllie Beck 0.2811123 0.0217870 12.903 < 2e-16 ***
NAMEEllie Brewer 0.0350168 0.0175656 1.993 0.046906 *
NAMEEllie Jander 0.2555482 0.0217870 11.729 < 2e-16 ***
NAMEEllie Shea 0.0517433 0.0186110 2.780 0.005696 **
NAMEElliot Pribramsky 0.0670122 0.0212597 3.152 0.001747 **
NAMEEmery Mayfield 0.0981535 0.0214906 4.567 6.64e-06 ***
NAMEEmilee Franklin 0.2188214 0.0214906 10.182 < 2e-16 ***
NAMEEmilie Meyer 0.0632222 0.0176874 3.574 0.000395 ***
NAMEEmily Beckner 0.2834920 0.0217870 13.012 < 2e-16 ***
NAMEEmily Brown 0.0601574 0.0214727 2.802 0.005340 **
NAMEEmily Bryce 0.0051327 0.0174528 0.294 0.768847
NAMEEmily Bush 0.0296911 0.0214727 1.383 0.167539
NAMEEmily Chaston 0.0467247 0.0174552 2.677 0.007747 **
NAMEEmily Covert 0.0132359 0.0186110 0.711 0.477394
NAMEEmily Lytle 0.2956733 0.0217870 13.571 < 2e-16 ***
NAMEEmily Morden 0.0934915 0.0214906 4.350 1.74e-05 ***
NAMEEmily Nuttall 0.1147141 0.0214906 5.338 1.60e-07 ***
NAMEEmily Paupore 0.0192278 0.0214447 0.897 0.370474
NAMEEmily Pharris 0.1076544 0.0212597 5.064 6.36e-07 ***
NAMEEmily Robinson 0.0242078 0.0214727 1.127 0.260279
NAMEEmily See 0.1632400 0.0214906 7.596 2.30e-13 ***
NAMEEmily Vining 0.0812690 0.0214533 3.788 0.000176 ***
NAMEEmma Atkinson 0.0136756 0.0175394 0.780 0.436040
NAMEEmma Bartholome 0.1951765 0.0217870 8.958 < 2e-16 ***
NAMEEmma Bonsall 0.1655325 0.0217870 7.598 2.27e-13 ***
NAMEEmma Dubie 0.1447810 0.0214906 6.737 5.84e-11 ***
NAMEEmma Eastman 0.0113539 0.0175656 0.646 0.518418
NAMEEmma Hadley 0.0947674 0.0212597 4.458 1.09e-05 ***
NAMEEmma Hain 0.1614789 0.0187380 8.618 < 2e-16 ***
NAMEEmma Hoins 0.0599788 0.0187062 3.206 0.001455 **
NAMEEmma Jones 0.0622768 0.0214727 2.900 0.003940 **
NAMEEmma Little 0.0603847 0.0214727 2.812 0.005170 **
NAMEEmma McAlister 0.3396720 0.0217870 15.591 < 2e-16 ***
NAMEEmma Watcke 0.0519639 0.0214906 2.418 0.016066 *
NAMEEmmaculate Jemutai 0.0598419 0.0184784 3.238 0.001305 **
NAMEEmmy Stoll 0.1353330 0.0212597 6.366 5.48e-10 ***
NAMEEowyn Dalbec 0.0496261 0.0214533 2.313 0.021231 *
NAMEErica Woodard 0.1473249 0.0214906 6.855 2.80e-11 ***
NAMEErika Cunniam 0.0714595 0.0214727 3.328 0.000958 ***
NAMEErin Cosgrove 0.0421898 0.0214727 1.965 0.050147 .
NAMEErin Macfarlane 0.2045443 0.0217870 9.388 < 2e-16 ***
NAMEErin Reidy 0.0303915 0.0175394 1.733 0.083933 .
NAMEErin Strzelecki -0.0189404 0.0214447 -0.883 0.377663
NAMEErin Vringer -0.0113924 0.0174552 -0.653 0.514357
NAMEEva Georgoulopoulos 0.2530244 0.0217870 11.614 < 2e-16 ***
NAMEEva Jess 0.0216288 0.0186110 1.162 0.245887
NAMEEva Klingbeil 0.0116609 0.0186161 0.626 0.531428
NAMEEva Rinker 0.1178751 0.0212597 5.545 5.45e-08 ***
NAMEEvaline Chepkoech 0.0301333 0.0212597 1.417 0.157169
NAMEFaith DeMars 0.0511757 0.0214727 2.383 0.017638 *
NAMEFaith Ekart 0.1058252 0.0214906 4.924 1.25e-06 ***
NAMEFaith Linga 0.0935605 0.0214533 4.361 1.66e-05 ***
NAMEFatima Alanis -0.0035285 0.0186161 -0.190 0.849768
NAMEFiona Max 0.0374857 0.0186161 2.014 0.044738 *
NAMEFiona McLoughlin 0.0108442 0.0214727 0.505 0.613828
NAMEFiona Smith 0.0206873 0.0214533 0.964 0.335498
NAMEFleur Templier -0.0042347 0.0214727 -0.197 0.843766
NAMEFlorence Caron -0.0304884 0.0186161 -1.638 0.102283
NAMEFrances Luna 0.0979246 0.0214533 4.565 6.72e-06 ***
NAMEFrida Giersdorff 0.1173355 0.0214906 5.460 8.51e-08 ***
NAMEGabby Martin 0.1333034 0.0212597 6.270 9.59e-10 ***
NAMEGabby Maryott 0.2857920 0.0217870 13.118 < 2e-16 ***
NAMEGabi Barrera 0.0502056 0.0214906 2.336 0.019990 *
NAMEGabriela Calderon 0.1984976 0.0217870 9.111 < 2e-16 ***
NAMEGabrielle Schmidt 0.0437801 0.0186110 2.352 0.019151 *
NAMEGabrielle Wahl 0.1471797 0.0214906 6.849 2.92e-11 ***
NAMEGeneva Timmerman 0.1111078 0.0214906 5.170 3.75e-07 ***
NAMEGillian Bushee 0.0081430 0.0186161 0.437 0.662050
NAMEGladys Chepngetich -0.0033505 0.0214447 -0.156 0.875925
NAMEGrace Bonsall 0.1231946 0.0217870 5.654 3.03e-08 ***
NAMEGrace Colbert 0.1959065 0.0217870 8.992 < 2e-16 ***
NAMEGrace Dow 0.2368906 0.0217870 10.873 < 2e-16 ***
NAMEGrace Erb 0.1259007 0.0214906 5.858 9.96e-09 ***
NAMEGrace Hartman -0.0414967 0.0186110 -2.230 0.026339 *
NAMEGrace Jostock 0.0689081 0.0214906 3.206 0.001455 **
NAMEGrace Kuhn 0.0320431 0.0214906 1.491 0.136766
NAMEGrace Link 0.0848748 0.0214906 3.949 9.30e-05 ***
NAMEGrace Meyer 0.0575743 0.0184784 3.116 0.001971 **
NAMEGrace Moroney 0.0641395 0.0212597 3.017 0.002721 **
NAMEGrace Mullin 0.1746840 0.0217870 8.018 1.27e-14 ***
NAMEGrace Ping 0.0548436 0.0212597 2.580 0.010255 *
NAMEGrace Pyle 0.3452738 0.0217870 15.848 < 2e-16 ***
NAMEGrace Spoonhour 0.1420117 0.0214906 6.608 1.28e-10 ***
NAMEGrace Waage 0.0756374 0.0214906 3.520 0.000483 ***
NAMEGrace Wassell 0.0788016 0.0186173 4.233 2.88e-05 ***
NAMEGracen Glover 0.1782388 0.0217870 8.181 4.05e-15 ***
NAMEGracie Foster 0.1702255 0.0217216 7.837 4.47e-14 ***
NAMEGracie Jacobs 0.0875000 0.0184784 4.735 3.07e-06 ***
NAMEGracie Shannon 0.1583190 0.0217870 7.267 2.03e-12 ***
NAMEGretchen Farley 0.0161568 0.0186110 0.868 0.385859
NAMEGwen Stare 0.0797238 0.0212597 3.750 0.000204 ***
NAMEGwenno Goode 0.0044760 0.0214447 0.209 0.834772
NAMEHailey Nordhus 0.2492651 0.0217870 11.441 < 2e-16 ***
NAMEHailey Uhre 0.0807344 0.0214533 3.763 0.000194 ***
NAMEHaley Meade 0.0526945 0.0214533 2.456 0.014476 *
NAMEHalle Hill 0.0219127 0.0175437 1.249 0.212402
NAMEHallie Verhage 0.4248384 0.0217870 19.500 < 2e-16 ***
NAMEHanan Aldelemy 0.1315158 0.0214533 6.130 2.15e-09 ***
NAMEHanna Bruckmayer 0.0695199 0.0214533 3.241 0.001296 **
NAMEHannah Beintema 0.1585715 0.0217870 7.278 1.88e-12 ***
NAMEHannah Gapes -0.0333497 0.0186110 -1.792 0.073920 .
NAMEHannah Ielfield 0.0850027 0.0214533 3.962 8.83e-05 ***
NAMEHannah Kilday 0.2044297 0.0188402 10.851 < 2e-16 ***
NAMEHannah Meiser 0.1393811 0.0214906 6.486 2.69e-10 ***
NAMEHannah Quinn 0.2407391 0.0188402 12.778 < 2e-16 ***
NAMEHannah Spears 0.0862857 0.0212597 4.059 5.97e-05 ***
NAMEHannah Swanson 0.1869481 0.0217870 8.581 2.28e-16 ***
NAMEHarley Kletz 0.0199140 0.0175656 1.134 0.257621
NAMEHarper McClain 0.0700349 0.0214727 3.262 0.001206 **
NAMEHasset Kassa 0.6438074 0.0217870 29.550 < 2e-16 ***
NAMEHayley Burns 0.0162163 0.0214533 0.756 0.450174
NAMEHayley Kitching 0.0045714 0.0186161 0.246 0.806151
NAMEHeidi Demeo 0.0430847 0.0186161 2.314 0.021167 *
NAMEHilda Olemomoi -0.0514483 0.0186110 -2.764 0.005974 **
NAMEHillary Trainor 0.0937213 0.0214906 4.361 1.66e-05 ***
NAMEHolly Smith 0.0314275 0.0186027 1.689 0.091943 .
NAMEImane Jourji 0.1230202 0.0217870 5.646 3.16e-08 ***
NAMEImogen Gardiner 0.0301323 0.0214533 1.405 0.160951
NAMEIndia Weir 0.0024306 0.0175656 0.138 0.890016
NAMEIndigo Sterud 0.1280491 0.0214906 5.958 5.71e-09 ***
NAMEIsabel Allori 0.0338072 0.0186110 1.817 0.070061 .
NAMEIsabela Garcia 0.1626682 0.0214906 7.569 2.75e-13 ***
NAMEIsabela Ross 0.0474174 0.0214533 2.210 0.027668 *
NAMEIsabella Orozco 0.1327741 0.0214906 6.178 1.64e-09 ***
NAMEIsabelle Hartnett 0.1242678 0.0214906 5.782 1.51e-08 ***
NAMEIsabelle Schmitz 0.0280469 0.0175394 1.599 0.110616
NAMEIzzy Roemer 0.0215333 0.0175394 1.228 0.220299
NAMEJaci Sievers 0.0369447 0.0186110 1.985 0.047835 *
NAMEJackie Addy 0.1110729 0.0212597 5.225 2.85e-07 ***
NAMEJackie Holman 0.0505255 0.0214906 2.351 0.019219 *
NAMEJacqueline Abanses 0.1276631 0.0187380 6.813 3.65e-11 ***
NAMEJade Ecoffey 0.1265680 0.0214906 5.889 8.39e-09 ***
NAMEJade Rypkema 0.0388412 0.0186161 2.086 0.037590 *
NAMEJadie Chavez 0.1537646 0.0214906 7.155 4.19e-12 ***
NAMEJadyn Zdanavage 0.0489180 0.0186173 2.628 0.008940 **
NAMEJaelyn Miller 0.1265680 0.0214906 5.889 8.39e-09 ***
NAMEJaelyn Rumback 0.4039866 0.0217870 18.543 < 2e-16 ***
NAMEJalyssa Blazek 0.1062034 0.0214906 4.942 1.15e-06 ***
NAMEJami Reed 0.0548350 0.0214447 2.557 0.010935 *
NAMEJane Roloff 0.0625792 0.0214727 2.914 0.003770 **
NAMEJanette Schraft 0.0436945 0.0217216 2.012 0.044955 *
NAMEJasleen Sidhu 0.1324808 0.0217870 6.081 2.86e-09 ***
NAMEJasmine Wood 0.0500988 0.0214533 2.335 0.020038 *
NAMEJayden Harberts 0.0502027 0.0175656 2.858 0.004492 **
NAMEJenna Carter 0.1034768 0.0212597 4.867 1.65e-06 ***
NAMEJenna DeBates 0.0803055 0.0214906 3.737 0.000214 ***
NAMEJenna Hutchins 0.0081022 0.0184675 0.439 0.661103
NAMEJenna Mulhern 0.0136198 0.0186173 0.732 0.464874
NAMEJenna Muma 0.1121610 0.0214906 5.219 2.93e-07 ***
NAMEJenna Soine 0.0808488 0.0214906 3.762 0.000194 ***
NAMEJenna Zydanowicz 0.0018313 0.0186110 0.098 0.921665
NAMEJenny Schilling -0.0088609 0.0186161 -0.476 0.634355
NAMEJessa Cassity 0.1678700 0.0217870 7.705 1.10e-13 ***
NAMEJessica Frydenlund 0.0196130 0.0186161 1.054 0.292742
NAMEJessica Heyen 0.3560389 0.0217870 16.342 < 2e-16 ***
NAMEJessica Lutmer 0.0565052 0.0214906 2.629 0.008896 **
NAMEJessica Palisca 0.0871301 0.0214533 4.061 5.90e-05 ***
NAMEJessica Wilson 0.1524935 0.0217870 6.999 1.13e-11 ***
NAMEJessie Secor 0.0150502 0.0184650 0.815 0.415532
NAMEJillian Candelino 0.0208000 0.0186110 1.118 0.264420
NAMEJillian Vaughn 0.1574768 0.0217870 7.228 2.61e-12 ***
NAMEJinane Mahi 0.0367529 0.0174528 2.106 0.035858 *
NAMEJocey Willis 0.0902326 0.0212597 4.244 2.74e-05 ***
NAMEJoni Schroeder 0.3110375 0.0217870 14.276 < 2e-16 ***
NAMEJordan Ledington 0.1307606 0.0212597 6.151 1.92e-09 ***
NAMEJordan Lee 0.2105627 0.0212597 9.904 < 2e-16 ***
NAMEJordan White 0.1482113 0.0212597 6.971 1.35e-11 ***
NAMEJoscelyn Monarrez 0.2903761 0.0217870 13.328 < 2e-16 ***
NAMEJosey Whitaker 0.1795265 0.0212597 8.444 6.14e-16 ***
NAMEJosie Baker 0.0898799 0.0175772 5.113 4.97e-07 ***
NAMEJosie Karnik 0.2056690 0.0217870 9.440 < 2e-16 ***
NAMEJosie Koppes 0.1757601 0.0217870 8.067 9.02e-15 ***
NAMEJosie Smith 0.2843087 0.0217870 13.049 < 2e-16 ***
NAMEJosie Tyrrell 0.1007098 0.0217870 4.622 5.17e-06 ***
NAMEJosphine Mwaura 0.0095996 0.0169126 0.568 0.570635
NAMEJoy Naukot -0.0318459 0.0174528 -1.825 0.068815 .
NAMEJozlyn Barnes 0.2793238 0.0217870 12.821 < 2e-16 ***
NAMEJudy Chepkoech -0.0252196 0.0184650 -1.366 0.172789
NAMEJudy Kosgei -0.0104142 0.0214447 -0.486 0.627503
NAMEJulia David-Smith -0.0043954 0.0175656 -0.250 0.802542
NAMEJulia Flynn 0.0223489 0.0186110 1.201 0.230544
NAMEJulia Schmitt 0.0425886 0.0214533 1.985 0.047826 *
NAMEJulia Shimel 0.1359844 0.0212597 6.396 4.57e-10 ***
NAMEJulia Thigpen 0.1154921 0.0217870 5.301 1.93e-07 ***
NAMEJulie Sumsion 0.0214980 0.0214533 1.002 0.316925
NAMEJuliet Cherubet -0.0368624 0.0184650 -1.996 0.046594 *
NAMEJuliette Forstrom 0.0396407 0.0214727 1.846 0.065638 .
NAMEJuliette Gavois 0.1407396 0.0217870 6.460 3.14e-10 ***
NAMEKaia Richmond 0.1420239 0.0217870 6.519 2.20e-10 ***
NAMEKaitlin Skeate 0.1545577 0.0214906 7.192 3.30e-12 ***
NAMEKaitlyn Bloomenrader 0.1784038 0.0217870 8.189 3.83e-15 ***
NAMEKaitlyn Hynes 0.0023694 0.0186110 0.127 0.898760
NAMEKaitlyn Sheppard 0.0329387 0.0214906 1.533 0.126163
NAMEKaitlyn Swartz 0.0939826 0.0184784 5.086 5.70e-07 ***
NAMEKaitlyn Thalman 0.3084328 0.0217870 14.157 < 2e-16 ***
NAMEKaiya Robertson -0.0090962 0.0214447 -0.424 0.671675
NAMEKamryn Ensley 0.0778045 0.0187380 4.152 4.05e-05 ***
NAMEKara Mickelson 0.1364909 0.0212597 6.420 3.97e-10 ***
NAMEKara Muller 0.1460374 0.0217870 6.703 7.20e-11 ***
NAMEKarina James 0.0722198 0.0214533 3.366 0.000837 ***
NAMEKarrie Baloga 0.0042324 0.0214447 0.197 0.843646
NAMEKat Helmer 0.1562566 0.0212597 7.350 1.18e-12 ***
NAMEKat Hudson 0.3289412 0.0217870 15.098 < 2e-16 ***
NAMEKatarzyna Nowakowska 0.0017589 0.0184731 0.095 0.924195
NAMEKate Crawford 0.0803019 0.0187062 4.293 2.23e-05 ***
NAMEKate Dickman 0.0472387 0.0214447 2.203 0.028194 *
NAMEKate Jortberg 0.0144955 0.0214447 0.676 0.499474
NAMEKate Kuwahara 0.1328463 0.0214727 6.187 1.56e-09 ***
NAMEKate Laurent -0.0023776 0.0214727 -0.111 0.911889
NAMEKate LeBlanc 0.1195024 0.0214906 5.561 5.00e-08 ***
NAMEKate Madsen 0.1030257 0.0217870 4.729 3.16e-06 ***
NAMEKate Miller 0.2212515 0.0212597 10.407 < 2e-16 ***
NAMEKate Putman 0.0517094 0.0186110 2.778 0.005727 **
NAMEKate Selover 0.1349708 0.0212597 6.349 6.06e-10 ***
NAMEKatelyn Nix 0.3412857 0.0217870 15.665 < 2e-16 ***
NAMEKatelyn Stewart-Barnett 0.0463045 0.0214447 2.159 0.031441 *
NAMEKatherine Hessler 0.0414895 0.0186027 2.230 0.026298 *
NAMEKatherine Soule 0.1321847 0.0214906 6.151 1.92e-09 ***
NAMEKathryn Cameron 0.2224681 0.0217870 10.211 < 2e-16 ***
NAMEKathryn Cichon 0.1896092 0.0214906 8.823 < 2e-16 ***
NAMEKatie Mead 0.3492461 0.0217870 16.030 < 2e-16 ***
NAMEKatie Roche 0.1461628 0.0214906 6.801 3.92e-11 ***
NAMEKatja Bauerle 0.0248908 0.0212597 1.171 0.242398
NAMEKayla Christopherson 0.0858016 0.0214906 3.993 7.82e-05 ***
NAMEKayla Shea 0.2028549 0.0217870 9.311 < 2e-16 ***
NAMEKayla Vogelsang 0.1575080 0.0214906 7.329 1.35e-12 ***
NAMEKayla Windemuller 0.0425886 0.0214533 1.985 0.047826 *
NAMEKaylee Jenish 0.2416265 0.0217870 11.090 < 2e-16 ***
NAMEKaylie Armitage 0.0043169 0.0186173 0.232 0.816758
NAMEKeegan Beisel 0.2028549 0.0217870 9.311 < 2e-16 ***
NAMEKeelee Leitzen 0.0809596 0.0188402 4.297 2.19e-05 ***
NAMEKeira Moore -0.0050419 0.0186110 -0.271 0.786606
NAMEKeira Naidoo 0.1643618 0.0217870 7.544 3.26e-13 ***
NAMEKeira Saavedra 0.0598542 0.0214727 2.787 0.005573 **
NAMEKelsie Heins 0.2208878 0.0217870 10.139 < 2e-16 ***
NAMEKenadi Krueger 0.0667641 0.0184784 3.613 0.000342 ***
NAMEKendall Hughes 0.0956719 0.0212597 4.500 8.98e-06 ***
NAMEKendall Martin 0.0655230 0.0214727 3.051 0.002434 **
NAMEKennady Anderson 0.1042536 0.0186027 5.604 3.97e-08 ***
NAMEKennady Fontenot 0.0583371 0.0214727 2.717 0.006886 **
NAMEKenzie Spencer 0.2625508 0.0217870 12.051 < 2e-16 ***
NAMEKenzy Lippold 0.1908671 0.0217870 8.761 < 2e-16 ***
NAMEKiara Smeltz 0.0396716 0.0175656 2.258 0.024468 *
NAMEKiera Snyder 0.1149391 0.0214906 5.348 1.52e-07 ***
NAMEKierra Jensen 0.1365327 0.0217870 6.267 9.79e-10 ***
NAMEKiki Connell 0.0658912 0.0184784 3.566 0.000408 ***
NAMEKiley Craft 0.3033485 0.0217870 13.923 < 2e-16 ***
NAMEKimberley May -0.0292469 0.0186161 -1.571 0.116983
NAMEKirstin Hackney 0.1621000 0.0217870 7.440 6.50e-13 ***
NAMEKlara Dess 0.0046342 0.0186110 0.249 0.803492
NAMEKlaudia Kazimierska 0.0048008 0.0214447 0.224 0.822976
NAMEKoe Schultz 0.2484193 0.0217870 11.402 < 2e-16 ***
NAMEKorima Gonzalez 0.1523211 0.0214906 7.088 6.45e-12 ***
NAMEKylie Finger 0.0459630 0.0214727 2.141 0.032933 *
NAMEKylie Haacke 0.1150890 0.0214906 5.355 1.46e-07 ***
NAMEKylie Miller 0.1761260 0.0212597 8.284 1.94e-15 ***
NAMEKylie Simshauser 0.0216601 0.0214533 1.010 0.313295
NAMEKyra Pretre 0.0684286 0.0186110 3.677 0.000269 ***
NAMELaina Friedmann 0.1231666 0.0212597 5.793 1.42e-08 ***
NAMELaney Parmeley 0.1596650 0.0217870 7.328 1.36e-12 ***
NAMELaura Hasemann 0.2287643 0.0217870 10.500 < 2e-16 ***
NAMELaura Holansky 0.1338112 0.0212597 6.294 8.34e-10 ***
NAMELaura Mooney 0.0053466 0.0186161 0.287 0.774111
NAMELaura Nicholson 0.0130687 0.0186110 0.702 0.482973
NAMELaura Pellicoro -0.0231057 0.0214447 -1.077 0.281945
NAMELauren Bishard 0.2718370 0.0217870 12.477 < 2e-16 ***
NAMELauren Eftink 0.1398932 0.0214906 6.509 2.33e-10 ***
NAMELauren Klein 0.1794562 0.0217216 8.262 2.28e-15 ***
NAMELauren Ping 0.0440547 0.0184784 2.384 0.017599 *
NAMELauren Schulze 0.0888077 0.0214906 4.132 4.40e-05 ***
NAMELaya Erickson 0.1324908 0.0184784 7.170 3.80e-12 ***
NAMELayla Roebke 0.0030123 0.0214533 0.140 0.888406
NAMELea Hatcher 0.0645177 0.0214447 3.009 0.002796 **
NAMELea Jerkovic 0.1433973 0.0214906 6.673 8.67e-11 ***
NAMELeah Christians 0.0759875 0.0214533 3.542 0.000445 ***
NAMELeah Jeruto -0.0112885 0.0185899 -0.607 0.544046
NAMELeah Klapatauskas 0.1067005 0.0187062 5.704 2.32e-08 ***
NAMELeane Willemse 0.0237891 0.0175656 1.354 0.176426
NAMELeanna Johnston 0.0967604 0.0214727 4.506 8.74e-06 ***
NAMELena Singleton 0.1220369 0.0214906 5.679 2.66e-08 ***
NAMELeonie Saurer 0.0937828 0.0186173 5.037 7.24e-07 ***
NAMELesley Green 0.0118388 0.0214447 0.552 0.581222
NAMELexi Liess 0.1632734 0.0217870 7.494 4.54e-13 ***
NAMELexy Halladay-Lowry -0.0243152 0.0174528 -1.393 0.164355
NAMELianna Surtz 0.0494520 0.0186110 2.657 0.008205 **
NAMELiina Winborn 0.0570839 0.0214533 2.661 0.008117 **
NAMELili-Rose Breheret 0.2278224 0.0217870 10.457 < 2e-16 ***
NAMELiliana Campos 0.1146277 0.0212597 5.392 1.21e-07 ***
NAMELillian Cutler 0.1555371 0.0217870 7.139 4.65e-12 ***
NAMELillian Feingold 0.0550675 0.0214727 2.565 0.010706 *
NAMELillian Woolery 0.1610227 0.0214906 7.493 4.59e-13 ***
NAMELilly Lavier 0.0381400 0.0169126 2.255 0.024681 *
NAMELilly Walters 0.0278328 0.0214447 1.298 0.195095
NAMELily Flynn 0.0482138 0.0175656 2.745 0.006336 **
NAMELily Jackson 0.1688752 0.0187380 9.012 < 2e-16 ***
NAMELily Mather 0.0502813 0.0212597 2.365 0.018515 *
NAMELily Porth 0.0703692 0.0214533 3.280 0.001131 **
NAMELily Schwartz 0.1778774 0.0187380 9.493 < 2e-16 ***
NAMELinda Perez 0.0400641 0.0175656 2.281 0.023098 *
NAMELindsay Cunningham 0.0082112 0.0175656 0.467 0.640432
NAMELindsey Peters 0.0391527 0.0174552 2.243 0.025457 *
NAMELisa Luecke 0.0526274 0.0214727 2.451 0.014689 *
NAMELogan Hofstee 0.0226896 0.0186161 1.219 0.223653
NAMELogan St. John-Kletter 0.0236989 0.0214447 1.105 0.269792
NAMELoghan Hughes 0.1123112 0.0214533 5.235 2.70e-07 ***
NAMELoral Winn 0.0102980 0.0186110 0.553 0.580356
NAMELorena Rangel Batres 0.0159417 0.0214447 0.743 0.457697
NAMELou Trois 0.0405973 0.0186110 2.181 0.029755 *
NAMELouise Lounes 0.0845350 0.0212597 3.976 8.35e-05 ***
NAMELucinda Rourke 0.0613762 0.0214533 2.861 0.004452 **
NAMELucy Jenks -0.0124092 0.0186161 -0.667 0.505433
NAMELydia Bennett 0.1492104 0.0214906 6.943 1.62e-11 ***
NAMELydia Davis 0.1864571 0.0217870 8.558 2.69e-16 ***
NAMELydia Edmonds 0.2467254 0.0217870 11.324 < 2e-16 ***
NAMEMabry Bruhn 0.0972099 0.0186027 5.226 2.84e-07 ***
NAMEMaci Steuber 0.1285670 0.0214906 5.982 4.99e-09 ***
NAMEMacie Russell 0.1637399 0.0214906 7.619 1.97e-13 ***
NAMEMackenize Browne 0.1082325 0.0214533 5.045 6.97e-07 ***
NAMEMackenzie Aldridge 0.0693006 0.0214906 3.225 0.001368 **
NAMEMackenzie Barnett 0.0072724 0.0175656 0.414 0.679091
NAMEMackenzie Hart 0.0961928 0.0186173 5.167 3.81e-07 ***
NAMEMackenzie Rogers 0.0745477 0.0186110 4.006 7.41e-05 ***
NAMEMadaline Ullom 0.0116909 0.0186161 0.628 0.530373
NAMEMadalyn Gray 0.1462354 0.0214906 6.805 3.84e-11 ***
NAMEMaddie Gardiner 0.0312523 0.0214727 1.455 0.146354
NAMEMaddie Kelly 0.1048083 0.0214533 4.885 1.51e-06 ***
NAMEMaddie Livingston 0.0880293 0.0214727 4.100 5.04e-05 ***
NAMEMaddie Peters 0.0485728 0.0214727 2.262 0.024244 *
NAMEMaddie Seaby 0.0410003 0.0214533 1.911 0.056721 .
NAMEMaddy Elmore -0.0251948 0.0214447 -1.175 0.240763
NAMEMaddy Ramey 0.2770836 0.0217870 12.718 < 2e-16 ***
NAMEMaddy Whitman 0.0596261 0.0186027 3.205 0.001461 **
NAMEMadeline Cabana 0.1352018 0.0214906 6.291 8.49e-10 ***
NAMEMadeline Heintz 0.0469415 0.0175656 2.672 0.007849 **
NAMEMadeline Kunz 0.2389119 0.0217870 10.966 < 2e-16 ***
NAMEMadeline Lage 0.1468254 0.0187380 7.836 4.50e-14 ***
NAMEMadeline Martin 0.2686004 0.0217870 12.328 < 2e-16 ***
NAMEMadelyn Blazo 0.0807344 0.0214533 3.763 0.000194 ***
NAMEMadelyn Hunter 0.1238993 0.0212597 5.828 1.18e-08 ***
NAMEMadelynne Cadeau 0.0413976 0.0214533 1.930 0.054376 .
NAMEMadi McKie 0.2981651 0.0217870 13.685 < 2e-16 ***
NAMEMadi Surber 0.0441922 0.0212597 2.079 0.038301 *
NAMEMadison Brouwer 0.0475623 0.0214906 2.213 0.027466 *
NAMEMadison Hulsey 0.0816506 0.0214533 3.806 0.000164 ***
NAMEMadison Nelson 0.1132931 0.0217870 5.200 3.23e-07 ***
NAMEMadison Relyea 0.0814979 0.0214533 3.799 0.000169 ***
NAMEMadison Trevena 0.0782853 0.0214906 3.643 0.000306 ***
NAMEMadison Trippett 0.0045659 0.0174528 0.262 0.793756
NAMEMadison Volz 0.0924185 0.0214906 4.300 2.16e-05 ***
NAMEMadisyn Ehrlich 0.1166337 0.0217870 5.353 1.48e-07 ***
NAMEMaebh Richardson 0.0201938 0.0214727 0.940 0.347576
NAMEMaelee Beacom 0.3150039 0.0217870 14.458 < 2e-16 ***
NAMEMaella Hodgson 0.0433464 0.0214727 2.019 0.044207 *
NAMEMaelle Porcher 0.0013815 0.0163759 0.084 0.932812
NAMEMaeve Stiles -0.0102058 0.0175656 -0.581 0.561569
NAMEMaggi Congdon -0.0020831 0.0186110 -0.112 0.910938
NAMEMaggie Reed 0.0800727 0.0214906 3.726 0.000223 ***
NAMEMaia Italia 0.2159057 0.0188402 11.460 < 2e-16 ***
NAMEMakayla Clark 0.0646191 0.0217216 2.975 0.003114 **
NAMEMakayla Little 0.2698813 0.0217870 12.387 < 2e-16 ***
NAMEMakenzie Kordic 0.0876049 0.0217870 4.021 6.96e-05 ***
NAMEMaleigha Huston 0.1158384 0.0214906 5.390 1.22e-07 ***
NAMEMalin Rahm 0.0609868 0.0214533 2.843 0.004708 **
NAMEMargaret Carroll 0.0804844 0.0214727 3.748 0.000205 ***
NAMEMargot Appleton -0.0288824 0.0214447 -1.347 0.178818
NAMEMariah Fenske 0.1047653 0.0214906 4.875 1.59e-06 ***
NAMEMarie Garret 0.1199633 0.0217870 5.506 6.67e-08 ***
NAMEMarie Hostetler 0.0652625 0.0214533 3.042 0.002509 **
NAMEMarika Couture 0.0384993 0.0174552 2.206 0.027996 *
NAMEMarina Trave 0.0678965 0.0214533 3.165 0.001674 **
NAMEMarissa Holm 0.1776610 0.0217870 8.154 4.88e-15 ***
NAMEMarissa Miles 0.2445654 0.0217870 11.225 < 2e-16 ***
NAMEMary Bonner Dalton 0.0069241 0.0186110 0.372 0.710062
NAMEMary Caroline Heinen 0.0231514 0.0186173 1.244 0.214418
NAMEMary Delaney 0.0937111 0.0212597 4.408 1.35e-05 ***
NAMEMary Ellen Eudaly 0.0294568 0.0214727 1.372 0.170909
NAMEMary Margaret Harris 0.0881148 0.0214906 4.100 5.03e-05 ***
NAMEMary O'Connor 0.2337729 0.0217870 10.730 < 2e-16 ***
NAMEMason Bina 0.1736068 0.0217870 7.968 1.80e-14 ***
NAMEMatilda Laidlaw 0.0792183 0.0214906 3.686 0.000260 ***
NAMEMattison Plummer 0.0548345 0.0214906 2.552 0.011106 *
NAMEMaud Lambotte 0.1698691 0.0217870 7.797 5.88e-14 ***
NAMEMckaylie Caesar -0.0002428 0.0174552 -0.014 0.988908
NAMEMcKenna Lovehaug 0.2405416 0.0217870 11.041 < 2e-16 ***
NAMEMcKenna Revord 0.0783631 0.0214906 3.646 0.000302 ***
NAMEMckenzie Bailey 0.0935601 0.0212597 4.401 1.39e-05 ***
NAMEMcKinley Wheeler 0.1368342 0.0217216 6.299 8.09e-10 ***
NAMEMeaghan Andrews 0.2940438 0.0214906 13.682 < 2e-16 ***
NAMEMegan Johnson 0.0472414 0.0214906 2.198 0.028521 *
NAMEMegan Marvin 0.0534797 0.0214533 2.493 0.013087 *
NAMEMegan Roberts 0.0331225 0.0214727 1.543 0.123756
NAMEMeghan Coulter 0.2170849 0.0217870 9.964 < 2e-16 ***
NAMEMeghan Dieball 0.0773516 0.0214906 3.599 0.000360 ***
NAMEMeghan Wheatley 0.0620629 0.0217216 2.857 0.004504 **
NAMEMelanie Pankow 0.1187557 0.0214906 5.526 6.01e-08 ***
NAMEMelissa Riggins -0.0151002 0.0186161 -0.811 0.417782
NAMEMelody Jebiwot 0.0624589 0.0186110 3.356 0.000869 ***
NAMEMelody Ochana 0.0697065 0.0187062 3.726 0.000223 ***
NAMEMena Scatchard 0.0124030 0.0214447 0.578 0.563349
NAMEMercy Angaamchaab 0.1144372 0.0217870 5.253 2.48e-07 ***
NAMEMercy Kinyanjui -0.0096027 0.0186110 -0.516 0.606171
NAMEMercy Kipchumba 0.0221044 0.0214447 1.031 0.303292
NAMEMercy Kirarei -0.0102006 0.0186110 -0.548 0.583943
NAMEMeredith Richter 0.1315315 0.0187380 7.019 9.97e-12 ***
NAMEMeryeme Mai 0.1069326 0.0217870 4.908 1.36e-06 ***
NAMEMesa Casper 0.3129145 0.0217870 14.362 < 2e-16 ***
NAMEMia Barnett 0.0056614 0.0186161 0.304 0.761205
NAMEMia Chavez 0.0845350 0.0212597 3.976 8.35e-05 ***
NAMEMia Cochran -0.0152481 0.0186110 -0.819 0.413114
NAMEMia Heine 0.1277737 0.0212597 6.010 4.27e-09 ***
NAMEMia Loafman 0.1620962 0.0214906 7.543 3.29e-13 ***
NAMEMicah Dickens 0.1974458 0.0217870 9.063 < 2e-16 ***
NAMEMie Nielsen 0.0676311 0.0214727 3.150 0.001761 **
NAMEMillie Hill 0.0731195 0.0187062 3.909 0.000109 ***
NAMEMira Comstock 0.3387587 0.0217870 15.549 < 2e-16 ***
NAMEMira Fosmer 0.2068726 0.0217870 9.495 < 2e-16 ***
NAMEMiriam Sandeen 0.0545159 0.0214906 2.537 0.011579 *
NAMEMolly Caruso 0.1393648 0.0187380 7.438 6.62e-13 ***
NAMEMolly Dreher 0.0351200 0.0186173 1.886 0.059984 .
NAMEMolly Fitzpatrick 0.0651849 0.0214533 3.038 0.002538 **
NAMEMolly Hudson 0.0442123 0.0175656 2.517 0.012238 *
NAMEMolly Lashley 0.0538721 0.0214533 2.511 0.012439 *
NAMEMolly Malague 0.0236334 0.0186110 1.270 0.204893
NAMEMolly McClung 0.2275082 0.0217870 10.442 < 2e-16 ***
NAMEMolly Morris 0.2325231 0.0217870 10.673 < 2e-16 ***
NAMEMonse Guerrero-Chapula 0.1472298 0.0217870 6.758 5.14e-11 ***
NAMEMorgan Hicks 0.0577651 0.0214447 2.694 0.007373 **
NAMEMorgan Jensen 0.0132309 0.0174552 0.758 0.448916
NAMEMorgan Kirkland 0.1126072 0.0214533 5.249 2.52e-07 ***
NAMEMsgana Araya 0.0452829 0.0214533 2.111 0.035430 *
NAMEMya Bunke 0.0573967 0.0214533 2.675 0.007779 **
NAMEMya Kizer 0.0985347 0.0214906 4.585 6.13e-06 ***
NAMEMya Schweitzer 0.2293918 0.0217870 10.529 < 2e-16 ***
NAMEMya Trober 0.0756691 0.0188402 4.016 7.09e-05 ***
NAMEN Vanee Anchike 0.0889592 0.0217870 4.083 5.40e-05 ***
NAMENadia Phillips 0.0398617 0.0175394 2.273 0.023590 *
NAMENadia Potgieter 0.0609468 0.0214906 2.836 0.004807 **
NAMENaja Weiler 0.0469204 0.0214906 2.183 0.029611 *
NAMENancy Chepleting 0.0352614 0.0214533 1.644 0.101059
NAMENatalie Barnard 0.1007426 0.0214906 4.688 3.83e-06 ***
NAMENatalie Bitetti 0.0010298 0.0186110 0.055 0.955902
NAMENatalie Bogdanova Kirilova 0.2359564 0.0217870 10.830 < 2e-16 ***
NAMENatalie Briggs 0.2875690 0.0217870 13.199 < 2e-16 ***
NAMENatalie Cook 0.0469646 0.0212597 2.209 0.027751 *
NAMENatalie VanOtteren 0.0872059 0.0214533 4.065 5.82e-05 ***
NAMENatasha Perales 0.1819454 0.0217870 8.351 1.20e-15 ***
NAMENelah Roberts 0.0058934 0.0174528 0.338 0.735790
NAMENiamh O'Mahony 0.0377443 0.0186161 2.028 0.043292 *
NAMENicola Hogg 0.0334972 0.0186110 1.800 0.072657 .
NAMENicole Chastain 0.0761685 0.0214727 3.547 0.000437 ***
NAMENicole Dinan 0.0875017 0.0186173 4.700 3.62e-06 ***
NAMENicole Louw 0.0496455 0.0214906 2.310 0.021406 *
NAMENicole Matysik 0.0356132 0.0186173 1.913 0.056494 .
NAMENicole Vanasse -0.0156949 0.0214727 -0.731 0.465266
NAMENikita Moore 0.0060947 0.0186110 0.327 0.743482
NAMENikola Prochazkova 0.2941312 0.0217870 13.500 < 2e-16 ***
NAMENoelle Abels 0.1117067 0.0217870 5.127 4.65e-07 ***
NAMENonhlanhla Mabuza 0.0974944 0.0217870 4.475 1.01e-05 ***
NAMENontokozo Ncube 0.1770002 0.0217870 8.124 6.04e-15 ***
NAMENora Gremban 0.0304777 0.0186110 1.638 0.102311
NAMENova Ojutkangas 0.0243564 0.0214906 1.133 0.257766
NAMENyah Hernandez 0.0850773 0.0214727 3.962 8.84e-05 ***
NAMEOakley Olson 0.0493897 0.0214533 2.302 0.021851 *
NAMEOlivia Andrews 0.1127037 0.0212597 5.301 1.93e-07 ***
NAMEOlivia Correale 0.1506585 0.0214906 7.010 1.06e-11 ***
NAMEOlivia Howell 0.0113280 0.0186110 0.609 0.543098
NAMEOlivia Joly 0.0456483 0.0186173 2.452 0.014648 *
NAMEOlivia Millen 0.0426787 0.0186110 2.293 0.022370 *
NAMEOlivia Morganti 0.0482661 0.0214727 2.248 0.025149 *
NAMEOlivia Pielemeier 0.0361959 0.0186110 1.945 0.052512 .
NAMEOssly Murambidzi 0.0957870 0.0214906 4.457 1.09e-05 ***
NAMEOzia Trujillo 0.0862487 0.0217870 3.959 8.96e-05 ***
NAMEPaige Baker 0.0985691 0.0184784 5.334 1.63e-07 ***
NAMEPaige Jaszczak 0.1124815 0.0212597 5.291 2.04e-07 ***
NAMEPaityn Noe -0.0384535 0.0186110 -2.066 0.039474 *
NAMEPamela Kosgei -0.0534987 0.0186110 -2.875 0.004268 **
NAMEPatricia Mazzei 0.1471071 0.0214906 6.845 2.99e-11 ***
NAMEPaula Vaquera 0.0478122 0.0214533 2.229 0.026407 *
NAMEPauline Althoff 0.2931753 0.0217870 13.456 < 2e-16 ***
NAMEPayton Hinkle 0.0704771 0.0214906 3.279 0.001134 **
NAMEPayton Jorczak 0.2409292 0.0217870 11.058 < 2e-16 ***
NAMEPenelope Gracey 0.0883977 0.0214727 4.117 4.69e-05 ***
NAMEPenelope Salmon 0.0192499 0.0186110 1.034 0.301624
NAMEPenelope Sosa 0.0847635 0.0212597 3.987 7.99e-05 ***
NAMEPenelopea Gordon 0.0223057 0.0175656 1.270 0.204895
NAMEPeyten Woodruff 0.1520640 0.0212597 7.153 4.25e-12 ***
NAMEPeyton Bell 0.2917030 0.0217870 13.389 < 2e-16 ***
NAMEPeyton Mcquillan 0.0837924 0.0214906 3.899 0.000114 ***
NAMEPeyton Svehla 0.1126871 0.0214906 5.244 2.59e-07 ***
NAMEPheline Cheruto 0.0020368 0.0214447 0.095 0.924379
NAMEPhoebe Anderson -0.0250817 0.0186161 -1.347 0.178664
NAMEPraise Oyebanji 0.1099781 0.0214906 5.117 4.88e-07 ***
NAMERachael Woodruff 0.0846984 0.0214533 3.948 9.35e-05 ***
NAMERachel Ada 0.3890605 0.0217870 17.857 < 2e-16 ***
NAMERachel Fereday 0.1414248 0.0217870 6.491 2.60e-10 ***
NAMERachel Forsyth -0.0117970 0.0186110 -0.634 0.526537
NAMERachel Hughes 0.1467440 0.0214906 6.828 3.32e-11 ***
NAMERachel Sutliff 0.0387213 0.0214447 1.806 0.071748 .
NAMERahel Broemmel 0.0383768 0.0214906 1.786 0.074919 .
NAMEReagan Baesler 0.0216438 0.0214906 1.007 0.314500
NAMEReagan Berg 0.1152389 0.0214906 5.362 1.41e-07 ***
NAMEReagan Gilmore 0.0287051 0.0214447 1.339 0.181495
NAMEReagan Hiebert 0.0919323 0.0217870 4.220 3.05e-05 ***
NAMEReagan Riley 0.0376221 0.0214447 1.754 0.080153 .
NAMERebecca Bergnes 0.0469274 0.0214447 2.188 0.029242 *
NAMERebecca O'Keeffe 0.0215457 0.0214447 1.005 0.315661
NAMEReece Ewoldt 0.0914824 0.0217870 4.199 3.33e-05 ***
NAMEReese Kozisek 0.2773826 0.0217870 12.732 < 2e-16 ***
NAMEReese Ragland 0.1162260 0.0214533 5.418 1.06e-07 ***
NAMERegina Mpigachai 0.0043942 0.0186764 0.235 0.814114
NAMEReid Harvey-McKean 0.1090573 0.0217870 5.006 8.46e-07 ***
NAMERenee Ballard 0.1338783 0.0214906 6.230 1.22e-09 ***
NAMERenee Kafka 0.2639152 0.0217870 12.113 < 2e-16 ***
NAMERhaya Kaschinske 0.2065518 0.0217870 9.481 < 2e-16 ***
NAMERiley Beach 0.0350872 0.0166017 2.113 0.035197 *
NAMERiley Chamberlain -0.0126820 0.0174528 -0.727 0.467882
NAMERiley Doyle 0.1590159 0.0214906 7.399 8.52e-13 ***
NAMERiley Hiebert 0.0797133 0.0217870 3.659 0.000288 ***
NAMERiley Jaszczak 0.1138881 0.0212597 5.357 1.45e-07 ***
NAMERiley Linville 0.1743942 0.0214906 8.115 6.45e-15 ***
NAMERiley Ries 0.1356949 0.0212597 6.383 4.96e-10 ***
NAMERiley Stewart 0.0097811 0.0186110 0.526 0.599499
NAMERobyn Kowalski 0.0682798 0.0214906 3.177 0.001606 **
NAMERoisin Treacy 0.0557100 0.0214906 2.592 0.009893 **
NAMERory Clare 0.0799645 0.0214727 3.724 0.000225 ***
NAMERosanna Pugh 0.1349708 0.0212597 6.349 6.06e-10 ***
NAMERose Coats -0.0060551 0.0214447 -0.282 0.777819
NAMERosemary Arthur 0.1232818 0.0217870 5.659 2.97e-08 ***
NAMERosemary Shay 0.0408002 0.0214727 1.900 0.058160 .
NAMERoshni Singh 0.0202532 0.0175656 1.153 0.249616
NAMERosina Machu -0.0221581 0.0186161 -1.190 0.234668
NAMERuby Hughes 0.0663856 0.0166352 3.991 7.88e-05 ***
NAMERuby Little 0.1091238 0.0214533 5.087 5.68e-07 ***
NAMERushell Johnson 0.1127623 0.0214906 5.247 2.55e-07 ***
NAMERuth Kimeli 0.0252009 0.0184650 1.365 0.173107
NAMERylea Borgic 0.1452903 0.0214906 6.761 5.05e-11 ***
NAMERylee Penn 0.0327002 0.0214533 1.524 0.128259
NAMERylee Tolson 0.0472302 0.0186173 2.537 0.011574 *
NAMERylie Lusk 0.0193310 0.0175656 1.101 0.271793
NAMESadie Sigfstead -0.0345392 0.0186161 -1.855 0.064304 .
NAMESadie Tuckwood 0.0344451 0.0214727 1.604 0.109497
NAMESage Brooks 0.0501813 0.0214727 2.337 0.019947 *
NAMESage Patzer 0.1852604 0.0212597 8.714 < 2e-16 ***
NAMESam Poglitsch 0.0536699 0.0186027 2.885 0.004131 **
NAMESamantha Hastie 0.0490482 0.0186173 2.635 0.008761 **
NAMESamantha McDonnell 0.0392539 0.0214727 1.828 0.068303 .
NAMESamantha Prusse 0.0587166 0.0214727 2.734 0.006534 **
NAMESammy Ebell 0.1596650 0.0217870 7.328 1.36e-12 ***
NAMESara Crociani 0.1474247 0.0212597 6.934 1.71e-11 ***
NAMESarah Bertry 0.0572998 0.0214906 2.666 0.007990 **
NAMESarah Farrens 0.2259359 0.0217870 10.370 < 2e-16 ***
NAMESarah Forsyth 0.0543428 0.0214533 2.533 0.011699 *
NAMESarah Hosey 0.0747011 0.0214906 3.476 0.000566 ***
NAMESarah Mueller 0.2723629 0.0217870 12.501 < 2e-16 ***
NAMESarah Peer 0.0456555 0.0214727 2.126 0.034115 *
NAMESarah Schiffman 0.0441744 0.0214533 2.059 0.040150 *
NAMESarah Tait -0.0026697 0.0174528 -0.153 0.878506
NAMESasha Neglia 0.0680071 0.0214727 3.167 0.001661 **
NAMESaskia Lloyd 0.0746819 0.0214533 3.481 0.000556 ***
NAMESavannah Dennison 0.1617020 0.0212597 7.606 2.15e-13 ***
NAMESavannah Fischer 0.2315848 0.0217870 10.629 < 2e-16 ***
NAMESavannah Roark -0.0020969 0.0175656 -0.119 0.905040
NAMEScarlet Fetterolf 0.1249369 0.0217870 5.734 1.97e-08 ***
NAMEScarlett Martin 0.0866282 0.0214727 4.034 6.59e-05 ***
NAMEScarlett Riddle 0.1352413 0.0217870 6.207 1.38e-09 ***
NAMESelma Anderson 0.0268448 0.0186110 1.442 0.149991
NAMEShania Santos 0.2867549 0.0217870 13.162 < 2e-16 ***
NAMEShannen Dorn 0.1497802 0.0217870 6.875 2.48e-11 ***
NAMEShannon Flockhart -0.0199263 0.0186161 -1.070 0.285113
NAMEShantell Hafner 0.1773306 0.0217870 8.139 5.43e-15 ***
NAMEShea Ruhly 0.0073765 0.0175656 0.420 0.674762
NAMESheilah Bii 0.0258607 0.0212597 1.216 0.224563
NAMEShelby Lingle 0.1856383 0.0217870 8.521 3.53e-16 ***
NAMESheridan Wheeler 0.0575470 0.0166017 3.466 0.000586 ***
NAMESierra Bower 0.0190927 0.0186173 1.026 0.305748
NAMESilan Ayyildiz -0.0312361 0.0214447 -1.457 0.146036
NAMESilvia Jelego -0.0142958 0.0214447 -0.667 0.505401
NAMESiona Chisholm -0.0116849 0.0186110 -0.628 0.530470
NAMESivan Auerbach 0.0323719 0.0169126 1.914 0.056345 .
NAMESkye Ellis 0.0519400 0.0214727 2.419 0.016026 *
NAMESkyler Balzer 0.0846429 0.0214906 3.939 9.71e-05 ***
NAMESnegugu Mkhize 0.3054580 0.0217870 14.020 < 2e-16 ***
NAMESona Kourilova 0.0726561 0.0212597 3.418 0.000699 ***
NAMESonya Rodekohr 0.2898596 0.0217870 13.304 < 2e-16 ***
NAMESophia Cino 0.0638707 0.0214906 2.972 0.003142 **
NAMESophia Gorriaran 0.0703198 0.0186110 3.778 0.000183 ***
NAMESophia Harrison 0.1648105 0.0214906 7.669 1.40e-13 ***
NAMESophia Kennedy -0.0212910 0.0186110 -1.144 0.253327
NAMESophia Lucki 0.0374303 0.0186110 2.011 0.044995 *
NAMESophia McDonnell 0.0274672 0.0186110 1.476 0.140791
NAMESophia Pelligreen 0.0790628 0.0214906 3.679 0.000267 ***
NAMESophia Toti 0.0185645 0.0186161 0.997 0.319274
NAMESophia Valentine 0.1812052 0.0217870 8.317 1.53e-15 ***
NAMESophie Atkinson 0.0338345 0.0186161 1.817 0.069912 .
NAMESophie Baumann 0.0587250 0.0214533 2.737 0.006478 **
NAMESophie Coughlin 0.0800727 0.0214906 3.726 0.000223 ***
NAMESophie Krueger 0.1539810 0.0214906 7.165 3.93e-12 ***
NAMESophie O'Sullivan 0.0089849 0.0186110 0.483 0.629528
NAMESophie Rodriguez 0.1682034 0.0217870 7.720 9.90e-14 ***
NAMEStarr Scott 0.1059765 0.0214906 4.931 1.21e-06 ***
NAMEStina Pettersson 0.0749747 0.0214727 3.492 0.000535 ***
NAMESummer Olson 0.1032036 0.0217870 4.737 3.05e-06 ***
NAMESummer Schuster 0.0482857 0.0214533 2.251 0.024960 *
NAMESydney Beaudin 0.1997099 0.0217870 9.166 < 2e-16 ***
NAMESydney Masciarelli 0.0429450 0.0186161 2.307 0.021586 *
NAMESydney Morrell 0.0421484 0.0217216 1.940 0.053054 .
NAMESydney Thorvaldson 0.0004889 0.0214447 0.023 0.981823
NAMESydni Wilkins 0.0477211 0.0186110 2.564 0.010718 *
NAMETabitha Fox 0.1118602 0.0214906 5.205 3.15e-07 ***
NAMETabitha Ngao 0.0508331 0.0212597 2.391 0.017275 *
NAMETalissa Tanquary 0.1816987 0.0217870 8.340 1.30e-15 ***
NAMETaryn Parks -0.0001783 0.0186161 -0.010 0.992362
NAMETatum David 0.0229038 0.0186161 1.230 0.219319
NAMETaya Skelton 0.0631883 0.0187380 3.372 0.000820 ***
NAMETaylor Briggs 0.0486391 0.0166017 2.930 0.003592 **
NAMETaylor Ewert 0.0233866 0.0186110 1.257 0.209652
NAMETaylor Limbaugh 0.0863617 0.0212597 4.062 5.88e-05 ***
NAMETaylor Lovell 0.0052841 0.0174528 0.303 0.762230
NAMETaylor Pangburn 0.0696744 0.0214533 3.248 0.001264 **
NAMETaylor Rohatinsky -0.0082485 0.0174528 -0.473 0.636751
NAMETaylor Rorick 0.1296020 0.0214906 6.031 3.80e-09 ***
NAMETaylor Thorp 0.3465997 0.0217870 15.909 < 2e-16 ***
NAMETaytum Goodman 0.0781149 0.0212597 3.674 0.000272 ***
NAMETecla Lokrale 0.0611804 0.0212597 2.878 0.004226 **
NAMETegan Bishop 0.2093832 0.0214906 9.743 < 2e-16 ***
NAMETeigan Davis 0.2378241 0.0217870 10.916 < 2e-16 ***
NAMETeresa Perez 0.0740784 0.0214727 3.450 0.000622 ***
NAMETessa Roe 0.0680441 0.0214906 3.166 0.001666 **
NAMETheresa Berger 0.3065474 0.0217870 14.070 < 2e-16 ***
NAMETia Wilson -0.0013189 0.0186110 -0.071 0.943541
NAMETiana LoStracco 0.0661453 0.0186110 3.554 0.000426 ***
NAMETilly O'Connor 0.0537720 0.0214727 2.504 0.012681 *
NAMETilly Simpson 0.0273281 0.0186110 1.468 0.142809
NAMETori Herman 0.0790340 0.0186173 4.245 2.73e-05 ***
NAMETori Wingrove 0.0793681 0.0184784 4.295 2.21e-05 ***
NAMETrixie Johnson 0.1751711 0.0214906 8.151 5.00e-15 ***
NAMETyla Lumley 0.0482969 0.0187062 2.582 0.010192 *
NAMETyrah American Horse 0.1934712 0.0217870 8.880 < 2e-16 ***
NAMEUmahan Sahin 0.1867026 0.0217870 8.569 2.47e-16 ***
NAMEVanessa Lee 0.2286074 0.0217870 10.493 < 2e-16 ***
NAMEVera Sjoberg -0.0171961 0.0214447 -0.802 0.423110
NAMEVictoria Lagat 0.0072753 0.0169126 0.430 0.667311
NAMEVivian Wyller 0.0981535 0.0214906 4.567 6.64e-06 ***
NAMEWeronika Stanczak 0.1659511 0.0214906 7.722 9.79e-14 ***
NAMEWhitney Cure 0.3230326 0.0217870 14.827 < 2e-16 ***
NAMEWhitney Valenti 0.0931825 0.0212597 4.383 1.51e-05 ***
NAMEWillow Collins 0.0166461 0.0186161 0.894 0.371778
NAMEWilma Nielsen 0.0090336 0.0186161 0.485 0.627767
NAMEYasmine Abbes 0.0844963 0.0186161 4.539 7.55e-06 ***
NAMEYenifer Juan Jesus 0.2483423 0.0217870 11.399 < 2e-16 ***
NAMEZenah Cheptoo -0.0140476 0.0214447 -0.655 0.512816
NAMEZoe Cooper 0.0291765 0.0186110 1.568 0.117765
NAMEZofia Dudek -0.0058556 0.0186110 -0.315 0.753212
NAMEZoie Ecord 0.1546081 0.0217870 7.096 6.11e-12 ***
NAMEZoie Kiddy 0.1172607 0.0214906 5.456 8.67e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.01503 on 389 degrees of freedom
Multiple R-squared: 0.9833, Adjusted R-squared: 0.943
F-statistic: 24.37 on 940 and 389 DF, p-value: < 2.2e-16
We can use emmeans to obtain estimates for fixed effects.
<- emmeans (ml, ~ race, type = "response" ) # needed to get back to original scale
race response SE df lower.CL upper.CL
2024CyclonePreview 18.18 0.06606 389 18.05 18.31
2024GreenoDirksenCrossCountryInvitational 18.59 0.06043 389 18.47 18.71
2024NuttycombeInvitationalChampionship 22.78 0.04748 389 22.69 22.88
2024WisconsinPreNationalsChampionship 22.14 0.04305 389 22.06 22.23
2024_Big_12_Conference_Cross_Country_Championship 22.11 0.05351 389 22.01 22.22
2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 21.80 0.04303 389 21.71 21.88
2024_NCAA_Division_I_Cross_Country_Championships 22.48 0.04270 389 22.39 22.56
Results are averaged over the levels of: NAME
Confidence level used: 0.95
Intervals are back-transformed from the log scale
<- emmeans (ml, ~ NAME,type = "response" )|> as.data.frame () |> filter (NAME %in% cyclone_athletes) |> arrange (response) # note the change
NAME response SE df lower.CL upper.CL
Maelle Porcher 19.18498 0.1182672 389 18.95386 19.41892
Bella Heikes 19.76106 0.1333698 389 19.50058 20.02502
Riley Beach 19.84265 0.1339204 389 19.58109 20.10770
Sydney Morrell 19.98325 0.3072121 389 19.38829 20.59648
Claire White 20.07021 0.3085489 389 19.47266 20.68611
Taylor Briggs 20.11338 0.1357476 389 19.84825 20.38205
Sheridan Wheeler 20.29335 0.1369623 389 20.02585 20.56442
Aspen Fulbright 20.42219 0.1797170 389 20.07189 20.77860
Makayla Clark 20.43738 0.3141935 389 19.82889 21.06454
Kiki Connell 20.46339 0.2195304 389 20.03629 20.89959
Ruby Hughes 20.47351 0.1382709 389 20.20345 20.74717
Becca Heitzig 20.49880 0.1791322 389 20.14962 20.85403
Ashlyn Keeney 20.56396 0.1554821 389 20.26053 20.87193
Mya Trober 20.66446 0.2253665 389 20.22609 21.11233
Keelee Leitzen 20.77408 0.2265620 389 20.33338 21.22433
Josie Baker 20.96022 0.1832329 389 20.60304 21.32358
Camryn Sattler 21.01413 0.2291801 389 20.56834 21.46958
Results are averaged over the levels of: race
Confidence level used: 0.95
Intervals are back-transformed from the log scale
Mixed effect model
An alternative to using a multiple regression model is to include random effects and therefore use a mixed effect linear regression model.
<- lmer (minutes ~ race + (1 | NAME), # NAME is a random effect data = cc)
While we can run F-tests, these are not so relevant because we already knew (or highly suspected) that there would be differences in mean time among races and runners.
# Sequential F-tests with null hypothesis of no effect anova (mr)
Analysis of Variance Table
npar Sum Sq Mean Sq F value
race 6 274 45.667 143.97
Looking at model summary is difficult due to there being so many runners.
Linear mixed model fit by REML ['lmerMod']
Formula: minutes ~ race + (1 | NAME)
Data: cc
REML criterion at convergence: 4000.3
Scaled residuals:
Min 1Q Median 3Q Max
-3.0407 -0.3206 -0.0216 0.3188 4.1023
Random effects:
Groups Name Variance Std.Dev.
NAME (Intercept) 1.3079 1.1436
Residual 0.3172 0.5632
Number of obs: 1330, groups: NAME, 935
Fixed effects:
Estimate Std. Error t value
(Intercept) 18.4813 0.1307 141.37
race2024GreenoDirksenCrossCountryInvitational 1.8531 0.1400 13.24
race2024NuttycombeInvitationalChampionship 3.3493 0.1413 23.70
race2024WisconsinPreNationalsChampionship 2.7305 0.1391 19.63
race2024_Big_12_Conference_Cross_Country_Championship 3.2758 0.1453 22.55
race2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 3.3835 0.1346 25.13
race2024_NCAA_Division_I_Cross_Country_Championships 2.9584 0.1394 21.21
Correlation of Fixed Effects:
(Intr) r2024G r2024N r2024W r2024_B r2024_NCAA_D_I_M
rc2024GDCCI -0.841
rc2024NttIC -0.871 0.741
rc2024WsPNC -0.888 0.756 0.870
r2024_B_12_ -0.830 0.711 0.779 0.799
r2024_NCAA_D_I_M -0.865 0.762 0.795 0.806 0.774
r2024_NCAA_D_I_C -0.892 0.760 0.884 0.908 0.807 0.811
We can use emmeans to obtain estimates for fixed effects.
<- emmeans (mr, ~ race)
race emmean SE df lower.CL upper.CL
2024CyclonePreview 18.5 0.1308 636 18.2 18.7
2024GreenoDirksenCrossCountryInvitational 20.3 0.0769 1300 20.2 20.5
2024NuttycombeInvitationalChampionship 21.8 0.0700 1187 21.7 22.0
2024WisconsinPreNationalsChampionship 21.2 0.0643 1288 21.1 21.3
2024_Big_12_Conference_Cross_Country_Championship 21.8 0.0817 1085 21.6 21.9
2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 21.9 0.0690 1264 21.7 22.0
2024_NCAA_Division_I_Cross_Country_Championships 21.4 0.0634 1289 21.3 21.6
Degrees-of-freedom method: kenward-roger
Confidence level used: 0.95
<- ranef (mr)$ NAME |> rownames_to_column ("NAME" ) |> mutate (additive = ` (Intercept) ` ggplot (em, aes (x = additive)) + geom_histogram (bins = 50 ) + labs (title = "2024 Women's Cross-Country" ,x = "Additive athlete Effect (mins)" |> filter (NAME %in% cyclone_athletes) |> arrange (additive)
NAME (Intercept) additive
1 Maelle Porcher -1.4092412 -1.4092412
2 Mya Trober -1.2311230 -1.2311230
3 Keelee Leitzen -1.1411943 -1.1411943
4 Aspen Fulbright -1.0834104 -1.0834104
5 Sydney Morrell -1.0030707 -1.0030707
6 Camryn Sattler -0.9591072 -0.9591072
7 Claire White -0.9427094 -0.9427094
8 Bella Heikes -0.9160726 -0.9160726
9 Riley Beach -0.8385018 -0.8385018
10 Ruby Hughes -0.7409937 -0.7409937
11 Makayla Clark -0.6878503 -0.6878503
12 Ashlyn Keeney -0.6403030 -0.6403030
13 Taylor Briggs -0.5705007 -0.5705007
14 Kiki Connell -0.4393894 -0.4393894
15 Sheridan Wheeler -0.4032782 -0.4032782
16 Becca Heitzig -0.1960917 -0.1960917
17 Josie Baker 0.4578168 0.4578168
Mixed effect model (log)
An alternative to using a multiple regression model is to include random effects and therefore use a mixed effect linear regression model.
<- lmer (log (minutes) ~ race + (1 | NAME), data = cc)
While we can run F-tests, these are not so relevant because we already knew (or highly suspected) that there would be differences in mean time among races and runners.
# Sequential F-tests with null hypothesis of no effect anova (mrl)
Analysis of Variance Table
npar Sum Sq Mean Sq F value
race 6 0.71963 0.11994 149.58
Looking at model summary is difficult due to there being so many runners.
Linear mixed model fit by REML ['lmerMod']
Formula: log(minutes) ~ race + (1 | NAME)
Data: cc
REML criterion at convergence: -4112.8
Scaled residuals:
Min 1Q Median 3Q Max
-3.1400 -0.3327 -0.0144 0.3388 3.8885
Random effects:
Groups Name Variance Std.Dev.
NAME (Intercept) 0.0025384 0.05038
Residual 0.0008018 0.02832
Number of obs: 1330, groups: NAME, 935
Fixed effects:
Estimate Std. Error t value
(Intercept) 2.912159 0.006409 454.40
race2024GreenoDirksenCrossCountryInvitational 0.100234 0.006863 14.61
race2024NuttycombeInvitationalChampionship 0.168308 0.006948 24.22
race2024WisconsinPreNationalsChampionship 0.139027 0.006833 20.35
race2024_Big_12_Conference_Cross_Country_Championship 0.166821 0.007143 23.35
race2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 0.172377 0.006646 25.94
race2024_NCAA_Division_I_Cross_Country_Championships 0.148999 0.006853 21.74
Correlation of Fixed Effects:
(Intr) r2024G r2024N r2024W r2024_B r2024_NCAA_D_I_M
rc2024GDCCI -0.859
rc2024NttIC -0.880 0.761
rc2024WsPNC -0.898 0.777 0.869
r2024_B_12_ -0.841 0.731 0.782 0.803
r2024_NCAA_D_I_M -0.877 0.779 0.803 0.815 0.781
r2024_NCAA_D_I_C -0.901 0.780 0.882 0.906 0.810 0.819
We can use emmeans to obtain estimates for fixed effects.
<- emmeans (mrl, ~ race, type = "response" ) # needed to get back to original scale
race response SE df lower.CL upper.CL
2024CyclonePreview 18.4 0.1180 656 18.2 18.6
2024GreenoDirksenCrossCountryInvitational 20.3 0.0723 1286 20.2 20.5
2024NuttycombeInvitationalChampionship 21.8 0.0722 1178 21.6 21.9
2024WisconsinPreNationalsChampionship 21.1 0.0639 1282 21.0 21.3
2024_Big_12_Conference_Cross_Country_Championship 21.7 0.0846 1107 21.6 21.9
2024_NCAA_Division_I_Midwest_Region_Cross_Country_Championships 21.9 0.0710 1278 21.7 22.0
2024_NCAA_Division_I_Cross_Country_Championships 21.4 0.0636 1280 21.2 21.5
Degrees-of-freedom method: kenward-roger
Confidence level used: 0.95
Intervals are back-transformed from the log scale
<- ranef (mrl)$ NAME |> rownames_to_column ("NAME" ) |> mutate (estimate = ` (Intercept) ` ,multiplicative = exp (estimate)ggplot (em, aes (x = multiplicative)) + geom_histogram (bins = 50 ) + labs (title = "2024 Women's Cross-Country" ,x = "Multiplicative Effect"
The multiplicative effect for Cyclones relative to the ``average’’ runner is.
|> filter (NAME %in% cyclone_athletes) |> arrange (multiplicative)
NAME (Intercept) estimate multiplicative
1 Maelle Porcher -0.066221872 -0.066221872 0.9359232
2 Mya Trober -0.060944651 -0.060944651 0.9408753
3 Keelee Leitzen -0.056375732 -0.056375732 0.9451839
4 Aspen Fulbright -0.053966138 -0.053966138 0.9474642
5 Sydney Morrell -0.049560901 -0.049560901 0.9516472
6 Camryn Sattler -0.046453500 -0.046453500 0.9546089
7 Claire White -0.046261089 -0.046261089 0.9547926
8 Bella Heikes -0.042821129 -0.042821129 0.9580827
9 Riley Beach -0.038945816 -0.038945816 0.9618028
10 Ruby Hughes -0.034960263 -0.034960263 0.9656438
11 Makayla Clark -0.032484387 -0.032484387 0.9680376
12 Ashlyn Keeney -0.031625285 -0.031625285 0.9688696
13 Taylor Briggs -0.026199214 -0.026199214 0.9741410
14 Kiki Connell -0.019180031 -0.019180031 0.9810027
15 Sheridan Wheeler -0.017820699 -0.017820699 0.9823372
16 Becca Heitzig -0.009773512 -0.009773512 0.9902741
17 Josie Baker 0.019112032 0.019112032 1.0192958
If the multiplicative effect is less than 1, then the runner is better than the average runner.
Summary
In this analysis, we focused on estimating athlete abilities after adjusting for differences in event events. The example utilized cross-country and we expect that there will be differences from event to event due to hilliness of the course among other reasons. Thus, when comparing athletes who participate in different event, we want to compare athletes after adjusting for differences in events. If we do not make these adjustments then athletes who only competed at easy events will look better than athletes who only competed at hard events.
While we only focused on events and athletes here, we could add additional explanatory variables to our model, e.g. temperature, week of the season, etc. Adding these variables to our models allows us to adjust for these additional explanatory variables.
