Introduction

I’ll be using this R-markdown to utilize data visualizations tools on season statistics for Ball State Women’s basketball 2021-2022 season. Field Goal Attempts, Effective Field Goal Percentage[(FGM + 0.5 x TPFGM)/FGA = EFG%], Free Throw Attempts and Free Throw Field Goal Percentage.

Statistical Summary of players and team.

Season statistics by player given by mean (standard deviation)

Characteristic Ally Becki, N = 331 Anna Clephane, N = 131 Annie Raunch, N = 321 Blake Smith, N = 71 Cameron Grant, N = 31 Chyna Latimer, N = 331 Estel Puiggros, N = 301 Ivet Subirats, N = 311 Jazmyn Turner, N = 181 Maddie Bischoff, N = 241 Marie Kiefer, N = 331 Sydney Freeman, N = 311 Thelma Dis Agustsdottir, N = 331
Points 11.1 (6.3) 16.2 (5.3) 6.6 (6.1) 0.7 (1.9) 0.0 (0.0) 7.8 (5.3) 5.0 (4.1) 3.9 (2.5) 2.6 (2.7) 3.1 (3.0) 6.3 (4.9) 11.1 (5.5) 10.9 (5.9)
FG_Per 0.47 (0.20) 0.50 (0.17) 0.58 (0.39) 0.25 (0.35) 0.00 (0.00) 0.41 (0.22) 0.38 (0.28) 0.39 (0.25) 0.72 (0.34) 0.41 (0.35) 0.47 (0.29) 0.36 (0.17) 0.40 (0.18)
3P_Per 0.37 (0.29) 0.42 (0.33) 0.00 (NA) 0.33 (NA) 0.00 (0.00) 0.16 (0.26) 0.31 (0.32) 0.25 (0.40) 0.33 (0.58) 0.36 (0.40) 0.28 (0.41) 0.28 (0.21) 0.37 (0.21)
FT_Per 0.76 (0.41) 0.64 (0.26) 0.66 (0.29) NA (NA) NA (NA) 0.75 (0.22) 0.70 (0.45) 0.64 (0.33) 0.56 (0.34) 0.61 (0.20) 0.64 (0.38) 0.84 (0.21) 0.77 (0.26)
Assist 4.85 (2.59) 2.15 (1.68) 0.25 (0.51) 0.14 (0.38) 0.00 (0.00) 0.94 (0.79) 1.77 (1.55) 0.65 (0.84) 0.17 (0.38) 0.04 (0.20) 0.88 (0.82) 4.03 (1.87) 1.88 (1.36)
Rebounds_Total 5.88 (2.88) 2.85 (1.72) 3.59 (2.58) 1.00 (1.00) 0.00 (0.00) 4.55 (2.81) 1.60 (1.25) 1.84 (1.66) 1.61 (1.46) 0.63 (0.77) 5.55 (2.92) 2.74 (1.50) 3.73 (2.41)
1 Mean (SD)

Team based season summary statistics.

Characteristic BSU, N = 331 OPP, N = 331
Points 71.39 (10.86) 68.09 (10.94)
FG_Per 0.43 (0.08) 0.42 (0.06)
3P_Per 0.32 (0.07) 0.32 (0.11)
FT_Per 0.72 (0.15) 0.73 (0.12)
Assist 15.79 (4.29) 12.76 (4.00)
Rebounds_Total 36.58 (12.41) 37.67 (6.10)
1 Mean (SD)

Data visualization

Box-plots followed by team statistics aregiven in the following 4 sections. You can double click on a player name to see only their box-plot.

Field Goal Attempts

Characteristic Home or Away = A ,N = 36 Home or Away = H ,N = 30
N BSU, N = 161 OPP, N = 201 N BSU, N = 171 OPP, N = 131
FG_A 36 58.75 (7.03) 57.55 (4.29) 30 62.94 (5.57) 61.38 (6.98)
1 Mean (SD)
Characteristic Win or Loss = L ,N = 33 Win or Loss = W ,N = 33
N BSU, N = 111 OPP, N = 221 N BSU, N = 221 OPP, N = 111
FG_A 33 59.09 (5.32) 59.18 (5.52) 33 61.82 (7.06) 58.82 (6.40)
1 Mean (SD)

Effective Field Goal Percentage

Characteristic EFG at A ,N = 36 EFG at H ,N = 30
N BSU, N = 161 OPP, N = 201 N BSU, N = 171 OPP, N = 131
EFG 36 0.52 (0.07) 0.46 (0.07) 30 0.49 (0.10) 0.49 (0.07)
1 Mean (SD)
Characteristic EFG when L ,N = 33 EFG when W ,N = 33
N BSU, N = 111 OPP, N = 221 N BSU, N = 221 OPP, N = 111
EFG 33 0.46 (0.07) 0.47 (0.07) 33 0.53 (0.08) 0.49 (0.07)
1 Mean (SD)

Free Throw Attempts

Characteristic Home or Away = A ,N = 36 Home or Away = H ,N = 30
N BSU, N = 161 OPP, N = 201 N BSU, N = 171 OPP, N = 131
FT_A 36 15.44 (5.90) 16.25 (7.77) 30 13.76 (7.22) 17.54 (5.64)
1 Mean (SD)
Characteristic Win or Loss = L ,N = 33 Win or Loss = W ,N = 33
N BSU, N = 111 OPP, N = 221 N BSU, N = 221 OPP, N = 111
FT_A 33 13.82 (7.47) 15.77 (7.58) 33 14.95 (6.21) 18.73 (5.20)
1 Mean (SD)

Free Throw Percentage

Characteristic Home or Away = A ,N = 36 Home or Away = H ,N = 30
N BSU, N = 161 OPP, N = 201 N BSU, N = 171 OPP, N = 131
FT_Per 36 0.70 (0.15) 0.72 (0.14) 30 0.75 (0.15) 0.73 (0.10)
1 Mean (SD)
Characteristic Win or Loss = L ,N = 33 Win or Loss = W ,N = 33
N BSU, N = 111 OPP, N = 221 N BSU, N = 221 OPP, N = 111
FT_Per 33 0.76 (0.19) 0.70 (0.13) 33 0.70 (0.13) 0.77 (0.10)
1 Mean (SD)

FGA, EFG, FG_A, and FG_% Summary

Characteristic Home or Away = A ,N = 36 Home or Away = H ,N = 30
N BSU, N = 161 OPP, N = 201 N BSU, N = 171 OPP, N = 131
FG_A 36 58.75 (7.03) 57.55 (4.29) 30 62.94 (5.57) 61.38 (6.98)
EFG 36 0.52 (0.07) 0.46 (0.07) 30 0.49 (0.10) 0.49 (0.07)
FT_A 36 15.44 (5.90) 16.25 (7.77) 30 13.76 (7.22) 17.54 (5.64)
FT_Per 36 0.70 (0.15) 0.72 (0.14) 30 0.75 (0.15) 0.73 (0.10)
1 Mean (SD)
Characteristic Win or Loss = L ,N = 33 Win or Loss = W ,N = 33
N BSU, N = 111 OPP, N = 221 N BSU, N = 221 OPP, N = 111
FG_A 33 59.09 (5.32) 59.18 (5.52) 33 61.82 (7.06) 58.82 (6.40)
EFG 33 0.46 (0.07) 0.47 (0.07) 33 0.53 (0.08) 0.49 (0.07)
FT_A 33 13.82 (7.47) 15.77 (7.58) 33 14.95 (6.21) 18.73 (5.20)
FT_Per 33 0.76 (0.19) 0.70 (0.13) 33 0.70 (0.13) 0.77 (0.10)
1 Mean (SD)

Cumulative statistics

Cumulative box plots based on solely total points and totals for assist, rebounds, and points.

Number of occurrences of each Point/Assist/Rebound total.

Points/assists/rebounds each player has per game in chronological order.

Field Goal Percentages

Generating a generalized linear model

## 
## Call:
## glm(formula = W_L_B ~ EFG + FG_A + Rebounds_Total + FT_A + Assist + 
##     FG_Per, family = binomial(link = probit), data = dfteam)
## 
## Coefficients:
##                  Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    -10.991889   3.273652  -3.358 0.000786 ***
## EFG             26.901052  11.894123   2.262 0.023715 *  
## FG_A             0.008267   0.034716   0.238 0.811786    
## Rebounds_Total   0.143151   0.038212   3.746 0.000180 ***
## FT_A             0.029527   0.033565   0.880 0.379019    
## Assist           0.029636   0.059317   0.500 0.617346    
## FG_Per         -20.431652  12.514791  -1.633 0.102553    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 91.495  on 65  degrees of freedom
## Residual deviance: 60.346  on 59  degrees of freedom
## AIC: 74.346
## 
## Number of Fisher Scoring iterations: 6
## 
## Call:  glm(formula = W_L_B ~ EFG + FG_A + Rebounds_Total + FT_A + Assist + 
##     FG_Per, family = binomial(link = probit), data = dfteam)
## 
## Coefficients:
##    (Intercept)             EFG            FG_A  Rebounds_Total            FT_A  
##     -10.991889       26.901052        0.008267        0.143151        0.029527  
##         Assist          FG_Per  
##       0.029636      -20.431652  
## 
## Degrees of Freedom: 65 Total (i.e. Null);  59 Residual
## Null Deviance:       91.5 
## Residual Deviance: 60.35     AIC: 74.35