# Set working directory and path to data
cd <- "/Users/arvindsharma/Dropbox/WCAS/Econometrics/"
setwd(cd)
# Clear the workspace
rm(list = ls()) # Clear environment
gc() # Clear unused memory## used (Mb) gc trigger (Mb) limit (Mb) max used (Mb)
## Ncells 551441 29.5 1225424 65.5 NA 700242 37.4
## Vcells 1022362 7.9 8388608 64.0 49152 1963476 15.0 cat("\f") # Clear the console dev.off # Clear the charts## function (which = dev.cur())
## {
## if (which == 1)
## stop("cannot shut down device 1 (the null device)")
## .External(C_devoff, as.integer(which))
## dev.cur()
## }
## <bytecode: 0x145e626e8>
## <environment: namespace:grDevices># Prepare needed libraries
packages <- c("stargazer","psych","tidyverse")
for (i in 1:length(packages)) {
if (!packages[i] %in% rownames(installed.packages())) {
install.packages(packages[i]
, repos = "http://cran.rstudio.com/"
, dependencies = TRUE
)
}
library(packages[i], character.only = TRUE)
}##
## Please cite as:## Hlavac, Marek (2022). stargazer: Well-Formatted Regression and Summary Statistics Tables.## R package version 5.2.3. https://CRAN.R-project.org/package=stargazer## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.1.4 ✔ readr 2.1.5
## ✔ forcats 1.0.0 ✔ stringr 1.5.1
## ✔ ggplot2 3.5.1 ✔ tibble 3.2.1
## ✔ lubridate 1.9.3 ✔ tidyr 1.3.1
## ✔ purrr 1.0.2
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ ggplot2::%+%() masks psych::%+%()
## ✖ ggplot2::alpha() masks psych::alpha()
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errorsrm(packages)
df_train <- read.csv("moneyball-training-data.csv")
# df_eval <- read.csv("moneyball-evaluation-data.csv")
df_train$INDEX <- NULL
glimpse(df_train)## Rows: 2,276
## Columns: 16
## $ TARGET_WINS <int> 39, 70, 86, 70, 82, 75, 80, 85, 86, 76, 78, 68, 72, 7…
## $ TEAM_BATTING_H <int> 1445, 1339, 1377, 1387, 1297, 1279, 1244, 1273, 1391,…
## $ TEAM_BATTING_2B <int> 194, 219, 232, 209, 186, 200, 179, 171, 197, 213, 179…
## $ TEAM_BATTING_3B <int> 39, 22, 35, 38, 27, 36, 54, 37, 40, 18, 27, 31, 41, 2…
## $ TEAM_BATTING_HR <int> 13, 190, 137, 96, 102, 92, 122, 115, 114, 96, 82, 95,…
## $ TEAM_BATTING_BB <int> 143, 685, 602, 451, 472, 443, 525, 456, 447, 441, 374…
## $ TEAM_BATTING_SO <int> 842, 1075, 917, 922, 920, 973, 1062, 1027, 922, 827, …
## $ TEAM_BASERUN_SB <int> NA, 37, 46, 43, 49, 107, 80, 40, 69, 72, 60, 119, 221…
## $ TEAM_BASERUN_CS <int> NA, 28, 27, 30, 39, 59, 54, 36, 27, 34, 39, 79, 109, …
## $ TEAM_BATTING_HBP <int> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, N…
## $ TEAM_PITCHING_H <int> 9364, 1347, 1377, 1396, 1297, 1279, 1244, 1281, 1391,…
## $ TEAM_PITCHING_HR <int> 84, 191, 137, 97, 102, 92, 122, 116, 114, 96, 86, 95,…
## $ TEAM_PITCHING_BB <int> 927, 689, 602, 454, 472, 443, 525, 459, 447, 441, 391…
## $ TEAM_PITCHING_SO <int> 5456, 1082, 917, 928, 920, 973, 1062, 1033, 922, 827,…
## $ TEAM_FIELDING_E <int> 1011, 193, 175, 164, 138, 123, 136, 112, 127, 131, 11…
## $ TEAM_FIELDING_DP <int> NA, 155, 153, 156, 168, 149, 186, 136, 169, 159, 141,…# MODEL 3: Step AIC...Backward selection... drop variable systematically...
library(MASS)##
## Attaching package: 'MASS'## The following object is masked from 'package:dplyr':
##
## select?stepAIC
model3_backward <- stepAIC(object = lm(data = df_train, TARGET_WINS ~ .),
direction = c("backward")
)## Start: AIC=831.31
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BATTING_SO + TEAM_BASERUN_SB +
## TEAM_BASERUN_CS + TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_SO 1 1.24 12547 829.33
## - TEAM_PITCHING_SO 1 1.48 12547 829.33
## - TEAM_BASERUN_CS 1 1.71 12548 829.34
## - TEAM_BATTING_HR 1 15.23 12561 829.54
## - TEAM_PITCHING_HR 1 15.79 12562 829.55
## - TEAM_PITCHING_H 1 33.63 12580 829.82
## - TEAM_BATTING_H 1 34.42 12580 829.83
## - TEAM_BATTING_2B 1 54.41 12600 830.14
## - TEAM_BASERUN_SB 1 95.22 12641 830.76
## - TEAM_BATTING_BB 1 107.84 12654 830.95
## - TEAM_PITCHING_BB 1 110.48 12656 830.99
## - TEAM_BATTING_3B 1 122.16 12668 831.16
## <none> 12546 831.31
## - TEAM_BATTING_HBP 1 198.21 12744 832.31
## - TEAM_FIELDING_DP 1 628.49 13174 838.65
## - TEAM_FIELDING_E 1 1237.79 13784 847.28
##
## Step: AIC=829.33
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BASERUN_CS +
## TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BASERUN_CS 1 1.59 12549 827.35
## - TEAM_BATTING_HR 1 15.82 12563 827.57
## - TEAM_PITCHING_HR 1 16.39 12564 827.58
## - TEAM_BATTING_2B 1 53.47 12601 828.14
## - TEAM_PITCHING_H 1 88.45 12636 828.67
## - TEAM_BATTING_H 1 90.30 12637 828.70
## - TEAM_BASERUN_SB 1 94.19 12641 828.76
## - TEAM_BATTING_BB 1 107.95 12655 828.97
## - TEAM_PITCHING_BB 1 110.60 12658 829.01
## - TEAM_BATTING_3B 1 122.20 12669 829.18
## <none> 12547 829.33
## - TEAM_BATTING_HBP 1 197.11 12744 830.31
## - TEAM_FIELDING_DP 1 630.68 13178 836.70
## - TEAM_FIELDING_E 1 1240.80 13788 845.34
## - TEAM_PITCHING_SO 1 1312.89 13860 846.34
##
## Step: AIC=827.35
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BATTING_HBP +
## TEAM_PITCHING_H + TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_HR 1 16.06 12565 825.60
## - TEAM_PITCHING_HR 1 16.64 12565 825.61
## - TEAM_BATTING_2B 1 53.05 12602 826.16
## - TEAM_PITCHING_H 1 90.24 12639 826.72
## - TEAM_BATTING_H 1 92.13 12641 826.75
## - TEAM_BATTING_BB 1 110.31 12659 827.03
## - TEAM_PITCHING_BB 1 113.00 12662 827.07
## - TEAM_BASERUN_SB 1 123.42 12672 827.22
## - TEAM_BATTING_3B 1 129.33 12678 827.31
## <none> 12549 827.35
## - TEAM_BATTING_HBP 1 197.23 12746 828.33
## - TEAM_FIELDING_DP 1 635.62 13184 834.79
## - TEAM_PITCHING_SO 1 1311.88 13861 844.35
## - TEAM_FIELDING_E 1 1322.05 13871 844.49
##
## Step: AIC=825.6
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_H +
## TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_2B 1 55.48 12620 824.44
## - TEAM_PITCHING_H 1 89.26 12654 824.95
## - TEAM_BATTING_H 1 91.97 12657 824.99
## - TEAM_BATTING_BB 1 104.58 12669 825.18
## - TEAM_PITCHING_BB 1 107.19 12672 825.22
## <none> 12565 825.60
## - TEAM_BATTING_3B 1 137.48 12702 825.68
## - TEAM_BASERUN_SB 1 146.90 12712 825.82
## - TEAM_BATTING_HBP 1 200.36 12765 826.62
## - TEAM_FIELDING_DP 1 628.95 13194 832.93
## - TEAM_PITCHING_HR 1 853.54 13418 836.15
## - TEAM_PITCHING_SO 1 1316.68 13882 842.63
## - TEAM_FIELDING_E 1 1333.15 13898 842.86
##
## Step: AIC=824.44
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_BB +
## TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_PITCHING_H 1 84.47 12705 823.71
## - TEAM_BATTING_H 1 87.79 12708 823.76
## - TEAM_BATTING_BB 1 98.92 12719 823.93
## - TEAM_PITCHING_BB 1 101.48 12722 823.97
## - TEAM_BASERUN_SB 1 109.27 12730 824.09
## <none> 12620 824.44
## - TEAM_BATTING_3B 1 147.01 12767 824.65
## - TEAM_BATTING_HBP 1 204.39 12825 825.51
## - TEAM_FIELDING_DP 1 649.12 13269 832.02
## - TEAM_PITCHING_HR 1 812.92 13433 834.36
## - TEAM_PITCHING_SO 1 1262.90 13883 840.66
## - TEAM_FIELDING_E 1 1379.34 14000 842.25
##
## Step: AIC=823.71
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_BB +
## TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_BB 1 32.85 12738 822.21
## - TEAM_PITCHING_BB 1 43.42 12748 822.37
## - TEAM_BASERUN_SB 1 105.16 12810 823.29
## <none> 12705 823.71
## - TEAM_BATTING_3B 1 153.13 12858 824.00
## - TEAM_BATTING_HBP 1 183.82 12888 824.46
## - TEAM_BATTING_H 1 504.11 13209 829.15
## - TEAM_FIELDING_DP 1 602.80 13308 830.57
## - TEAM_PITCHING_HR 1 850.25 13555 834.09
## - TEAM_PITCHING_SO 1 1259.72 13964 839.77
## - TEAM_FIELDING_E 1 1419.39 14124 841.94
##
## Step: AIC=822.21
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BASERUN_SB +
## TEAM_BATTING_HBP + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BASERUN_SB 1 109.99 12848 821.85
## <none> 12738 822.21
## - TEAM_BATTING_3B 1 156.45 12894 822.54
## - TEAM_BATTING_HBP 1 186.58 12924 822.98
## - TEAM_BATTING_H 1 485.67 13223 827.35
## - TEAM_FIELDING_DP 1 623.19 13361 829.33
## - TEAM_PITCHING_HR 1 843.83 13581 832.46
## - TEAM_PITCHING_SO 1 1267.25 14005 838.32
## - TEAM_FIELDING_E 1 1395.02 14133 840.06
## - TEAM_PITCHING_BB 1 2364.81 15102 852.73
##
## Step: AIC=821.85
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_HBP +
## TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_3B 1 133.47 12981 821.82
## <none> 12848 821.85
## - TEAM_BATTING_HBP 1 177.11 13025 822.46
## - TEAM_BATTING_H 1 566.11 13414 828.09
## - TEAM_FIELDING_DP 1 737.46 13585 830.51
## - TEAM_PITCHING_HR 1 756.49 13604 830.78
## - TEAM_PITCHING_SO 1 1257.91 14106 837.69
## - TEAM_FIELDING_E 1 1330.40 14178 838.67
## - TEAM_PITCHING_BB 1 2371.12 15219 852.20
##
## Step: AIC=821.82
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_HBP + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## <none> 12981 821.82
## - TEAM_BATTING_HBP 1 228.70 13210 823.16
## - TEAM_BATTING_H 1 449.87 13431 826.33
## - TEAM_FIELDING_DP 1 813.17 13794 831.43
## - TEAM_PITCHING_HR 1 990.20 13971 833.86
## - TEAM_PITCHING_SO 1 1316.56 14298 838.27
## - TEAM_FIELDING_E 1 1334.60 14316 838.52
## - TEAM_PITCHING_BB 1 2583.00 15564 854.49model3_forward <- stepAIC( lm(data = df_train, TARGET_WINS ~ TEAM_BATTING_H),
direction = c("forward")
)## Start: AIC=12179.81
## TARGET_WINS ~ TEAM_BATTING_Hmodel3_both <- stepAIC(object = lm(data = df_train, TARGET_WINS ~ .),
direction = c("both")
)## Start: AIC=831.31
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BATTING_SO + TEAM_BASERUN_SB +
## TEAM_BASERUN_CS + TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_SO 1 1.24 12547 829.33
## - TEAM_PITCHING_SO 1 1.48 12547 829.33
## - TEAM_BASERUN_CS 1 1.71 12548 829.34
## - TEAM_BATTING_HR 1 15.23 12561 829.54
## - TEAM_PITCHING_HR 1 15.79 12562 829.55
## - TEAM_PITCHING_H 1 33.63 12580 829.82
## - TEAM_BATTING_H 1 34.42 12580 829.83
## - TEAM_BATTING_2B 1 54.41 12600 830.14
## - TEAM_BASERUN_SB 1 95.22 12641 830.76
## - TEAM_BATTING_BB 1 107.84 12654 830.95
## - TEAM_PITCHING_BB 1 110.48 12656 830.99
## - TEAM_BATTING_3B 1 122.16 12668 831.16
## <none> 12546 831.31
## - TEAM_BATTING_HBP 1 198.21 12744 832.31
## - TEAM_FIELDING_DP 1 628.49 13174 838.65
## - TEAM_FIELDING_E 1 1237.79 13784 847.28
##
## Step: AIC=829.33
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BASERUN_CS +
## TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BASERUN_CS 1 1.59 12549 827.35
## - TEAM_BATTING_HR 1 15.82 12563 827.57
## - TEAM_PITCHING_HR 1 16.39 12564 827.58
## - TEAM_BATTING_2B 1 53.47 12601 828.14
## - TEAM_PITCHING_H 1 88.45 12636 828.67
## - TEAM_BATTING_H 1 90.30 12637 828.70
## - TEAM_BASERUN_SB 1 94.19 12641 828.76
## - TEAM_BATTING_BB 1 107.95 12655 828.97
## - TEAM_PITCHING_BB 1 110.60 12658 829.01
## - TEAM_BATTING_3B 1 122.20 12669 829.18
## <none> 12547 829.33
## - TEAM_BATTING_HBP 1 197.11 12744 830.31
## + TEAM_BATTING_SO 1 1.24 12546 831.31
## - TEAM_FIELDING_DP 1 630.68 13178 836.70
## - TEAM_FIELDING_E 1 1240.80 13788 845.34
## - TEAM_PITCHING_SO 1 1312.89 13860 846.34
##
## Step: AIC=827.35
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_HR + TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BATTING_HBP +
## TEAM_PITCHING_H + TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_HR 1 16.06 12565 825.60
## - TEAM_PITCHING_HR 1 16.64 12565 825.61
## - TEAM_BATTING_2B 1 53.05 12602 826.16
## - TEAM_PITCHING_H 1 90.24 12639 826.72
## - TEAM_BATTING_H 1 92.13 12641 826.75
## - TEAM_BATTING_BB 1 110.31 12659 827.03
## - TEAM_PITCHING_BB 1 113.00 12662 827.07
## - TEAM_BASERUN_SB 1 123.42 12672 827.22
## - TEAM_BATTING_3B 1 129.33 12678 827.31
## <none> 12549 827.35
## - TEAM_BATTING_HBP 1 197.23 12746 828.33
## + TEAM_BASERUN_CS 1 1.59 12547 829.33
## + TEAM_BATTING_SO 1 1.12 12548 829.34
## - TEAM_FIELDING_DP 1 635.62 13184 834.79
## - TEAM_PITCHING_SO 1 1311.88 13861 844.35
## - TEAM_FIELDING_E 1 1322.05 13871 844.49
##
## Step: AIC=825.6
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_2B + TEAM_BATTING_3B +
## TEAM_BATTING_BB + TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_H +
## TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_2B 1 55.48 12620 824.44
## - TEAM_PITCHING_H 1 89.26 12654 824.95
## - TEAM_BATTING_H 1 91.97 12657 824.99
## - TEAM_BATTING_BB 1 104.58 12669 825.18
## - TEAM_PITCHING_BB 1 107.19 12672 825.22
## <none> 12565 825.60
## - TEAM_BATTING_3B 1 137.48 12702 825.68
## - TEAM_BASERUN_SB 1 146.90 12712 825.82
## - TEAM_BATTING_HBP 1 200.36 12765 826.62
## + TEAM_BATTING_HR 1 16.06 12549 827.35
## + TEAM_BASERUN_CS 1 1.83 12563 827.57
## + TEAM_BATTING_SO 1 1.67 12563 827.57
## - TEAM_FIELDING_DP 1 628.95 13194 832.93
## - TEAM_PITCHING_HR 1 853.54 13418 836.15
## - TEAM_PITCHING_SO 1 1316.68 13882 842.63
## - TEAM_FIELDING_E 1 1333.15 13898 842.86
##
## Step: AIC=824.44
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_BB +
## TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_H + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_PITCHING_H 1 84.47 12705 823.71
## - TEAM_BATTING_H 1 87.79 12708 823.76
## - TEAM_BATTING_BB 1 98.92 12719 823.93
## - TEAM_PITCHING_BB 1 101.48 12722 823.97
## - TEAM_BASERUN_SB 1 109.27 12730 824.09
## <none> 12620 824.44
## - TEAM_BATTING_3B 1 147.01 12767 824.65
## - TEAM_BATTING_HBP 1 204.39 12825 825.51
## + TEAM_BATTING_2B 1 55.48 12565 825.60
## + TEAM_BATTING_HR 1 18.48 12602 826.16
## + TEAM_BASERUN_CS 1 1.38 12619 826.42
## + TEAM_BATTING_SO 1 0.55 12620 826.43
## - TEAM_FIELDING_DP 1 649.12 13269 832.02
## - TEAM_PITCHING_HR 1 812.92 13433 834.36
## - TEAM_PITCHING_SO 1 1262.90 13883 840.66
## - TEAM_FIELDING_E 1 1379.34 14000 842.25
##
## Step: AIC=823.71
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_BB +
## TEAM_BASERUN_SB + TEAM_BATTING_HBP + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_BB 1 32.85 12738 822.21
## - TEAM_PITCHING_BB 1 43.42 12748 822.37
## - TEAM_BASERUN_SB 1 105.16 12810 823.29
## <none> 12705 823.71
## - TEAM_BATTING_3B 1 153.13 12858 824.00
## + TEAM_PITCHING_H 1 84.47 12620 824.44
## - TEAM_BATTING_HBP 1 183.82 12888 824.46
## + TEAM_BATTING_SO 1 62.04 12643 824.78
## + TEAM_BATTING_2B 1 50.69 12654 824.95
## + TEAM_BATTING_HR 1 12.25 12692 825.53
## + TEAM_BASERUN_CS 1 3.11 12702 825.67
## - TEAM_BATTING_H 1 504.11 13209 829.15
## - TEAM_FIELDING_DP 1 602.80 13308 830.57
## - TEAM_PITCHING_HR 1 850.25 13555 834.09
## - TEAM_PITCHING_SO 1 1259.72 13964 839.77
## - TEAM_FIELDING_E 1 1419.39 14124 841.94
##
## Step: AIC=822.21
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BASERUN_SB +
## TEAM_BATTING_HBP + TEAM_PITCHING_HR + TEAM_PITCHING_BB +
## TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BASERUN_SB 1 109.99 12848 821.85
## <none> 12738 822.21
## - TEAM_BATTING_3B 1 156.45 12894 822.54
## - TEAM_BATTING_HBP 1 186.58 12924 822.98
## + TEAM_BATTING_2B 1 48.63 12689 823.48
## + TEAM_BATTING_BB 1 32.85 12705 823.71
## + TEAM_BATTING_HR 1 22.99 12715 823.86
## + TEAM_PITCHING_H 1 18.40 12719 823.93
## + TEAM_BATTING_SO 1 17.51 12720 823.94
## + TEAM_BASERUN_CS 1 3.86 12734 824.15
## - TEAM_BATTING_H 1 485.67 13223 827.35
## - TEAM_FIELDING_DP 1 623.19 13361 829.33
## - TEAM_PITCHING_HR 1 843.83 13581 832.46
## - TEAM_PITCHING_SO 1 1267.25 14005 838.32
## - TEAM_FIELDING_E 1 1395.02 14133 840.06
## - TEAM_PITCHING_BB 1 2364.81 15102 852.73
##
## Step: AIC=821.85
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_3B + TEAM_BATTING_HBP +
## TEAM_PITCHING_HR + TEAM_PITCHING_BB + TEAM_PITCHING_SO +
## TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## - TEAM_BATTING_3B 1 133.47 12981 821.82
## <none> 12848 821.85
## + TEAM_BASERUN_SB 1 109.99 12738 822.21
## - TEAM_BATTING_HBP 1 177.11 13025 822.46
## + TEAM_BATTING_BB 1 37.69 12810 823.29
## + TEAM_BATTING_HR 1 30.72 12817 823.39
## + TEAM_BASERUN_CS 1 23.16 12824 823.51
## + TEAM_PITCHING_H 1 22.34 12825 823.52
## + TEAM_BATTING_SO 1 21.53 12826 823.53
## + TEAM_BATTING_2B 1 14.11 12834 823.64
## - TEAM_BATTING_H 1 566.11 13414 828.09
## - TEAM_FIELDING_DP 1 737.46 13585 830.51
## - TEAM_PITCHING_HR 1 756.49 13604 830.78
## - TEAM_PITCHING_SO 1 1257.91 14106 837.69
## - TEAM_FIELDING_E 1 1330.40 14178 838.67
## - TEAM_PITCHING_BB 1 2371.12 15219 852.20
##
## Step: AIC=821.82
## TARGET_WINS ~ TEAM_BATTING_H + TEAM_BATTING_HBP + TEAM_PITCHING_HR +
## TEAM_PITCHING_BB + TEAM_PITCHING_SO + TEAM_FIELDING_E + TEAM_FIELDING_DP
##
## Df Sum of Sq RSS AIC
## <none> 12981 821.82
## + TEAM_BATTING_3B 1 133.47 12848 821.85
## + TEAM_BASERUN_SB 1 87.02 12894 822.54
## - TEAM_BATTING_HBP 1 228.70 13210 823.16
## + TEAM_BATTING_BB 1 40.42 12941 823.23
## + TEAM_BATTING_HR 1 33.83 12947 823.33
## + TEAM_PITCHING_H 1 23.95 12957 823.47
## + TEAM_BATTING_SO 1 23.13 12958 823.48
## + TEAM_BATTING_2B 1 21.28 12960 823.51
## + TEAM_BASERUN_CS 1 7.07 12974 823.72
## - TEAM_BATTING_H 1 449.87 13431 826.33
## - TEAM_FIELDING_DP 1 813.17 13794 831.43
## - TEAM_PITCHING_HR 1 990.20 13971 833.86
## - TEAM_PITCHING_SO 1 1316.56 14298 838.27
## - TEAM_FIELDING_E 1 1334.60 14316 838.52
## - TEAM_PITCHING_BB 1 2583.00 15564 854.49stargazer(model3_backward, model3_forward, model3_both,
type = "text")##
## =============================================================================================
## Dependent variable:
## -------------------------------------------------------------------------
## TARGET_WINS
## (1) (2) (3)
## ---------------------------------------------------------------------------------------------
## TEAM_BATTING_H 0.025** 0.042*** 0.025**
## (0.010) (0.002) (0.010)
##
## TEAM_BATTING_HBP 0.087* 0.087*
## (0.049) (0.049)
##
## TEAM_PITCHING_HR 0.089*** 0.089***
## (0.024) (0.024)
##
## TEAM_PITCHING_BB 0.057*** 0.057***
## (0.009) (0.009)
##
## TEAM_PITCHING_SO -0.031*** -0.031***
## (0.007) (0.007)
##
## TEAM_FIELDING_E -0.172*** -0.172***
## (0.040) (0.040)
##
## TEAM_FIELDING_DP -0.119*** -0.119***
## (0.035) (0.035)
##
## Constant 60.955*** 18.562*** 60.955***
## (19.103) (3.108) (19.103)
##
## ---------------------------------------------------------------------------------------------
## Observations 191 2,276 191
## R2 0.535 0.151 0.535
## Adjusted R2 0.517 0.151 0.517
## Residual Std. Error 8.422 (df = 183) 14.516 (df = 2274) 8.422 (df = 183)
## F Statistic 30.019*** (df = 7; 183) 404.888*** (df = 1; 2274) 30.019*** (df = 7; 183)
## =============================================================================================
## Note: *p<0.1; **p<0.05; ***p<0.01