Regression Analyses for AMefficiency Joggle Score

Model 1

library(MASS)
AM.lm1 = lm(AMefficiency ~ AMcorrect * AMavRT * AMincorrect * AMsdRT * AMmdRT * 
    AMresponses, data = AM, na.action = na.omit)
summary(AM.lm1)$coefficients
##                                              Estimate Std. Error   t value
## (Intercept)                                 2.878e+02  1.080e+02  2.663453
## AMcorrect                                   4.190e+01  1.163e+00 36.014848
## AMavRT                                     -1.281e-01  6.598e-02 -1.941793
## AMsdRT                                     -2.869e-02  3.567e-02 -0.804402
## AMmdRT                                     -4.090e-02  5.398e-02 -0.757652
## AMcorrect:AMavRT                           -3.848e-03  7.416e-04 -5.189143
## AMcorrect:AMincorrect                      -1.448e+00  4.663e-01 -3.105346
## AMcorrect:AMsdRT                           -7.682e-05  5.208e-04 -0.147502
## AMavRT:AMsdRT                               1.160e-05  1.045e-05  1.110681
## AMcorrect:AMmdRT                           -1.725e-03  6.571e-04 -2.624583
## AMavRT:AMmdRT                               2.072e-05  1.097e-05  1.887880
## AMsdRT:AMmdRT                               1.422e-05  2.006e-05  0.708775
## AMcorrect:AMavRT:AMincorrect                6.132e-04  2.767e-04  2.216352
## AMcorrect:AMavRT:AMsdRT                    -3.000e-08  9.479e-08 -0.316452
## AMcorrect:AMincorrect:AMsdRT                9.640e-05  1.575e-04  0.612064
## AMcorrect:AMavRT:AMmdRT                     3.283e-07  1.157e-07  2.836585
## AMcorrect:AMincorrect:AMmdRT                2.336e-04  2.299e-04  1.016032
## AMcorrect:AMsdRT:AMmdRT                     8.279e-08  2.063e-07  0.401377
## AMavRT:AMsdRT:AMmdRT                       -2.900e-09  1.438e-09 -2.016328
## AMcorrect:AMavRT:AMincorrect:AMsdRT        -4.257e-08  4.651e-08 -0.915403
## AMcorrect:AMavRT:AMincorrect:AMmdRT        -1.022e-07  4.680e-08 -2.184967
## AMcorrect:AMavRT:AMsdRT:AMmdRT             -9.485e-14  1.401e-11 -0.006769
## AMcorrect:AMincorrect:AMsdRT:AMmdRT        -6.804e-08  8.854e-08 -0.768410
## AMcorrect:AMavRT:AMincorrect:AMsdRT:AMmdRT  1.255e-11  6.488e-12  1.934619
##                                              Pr(>|t|)
## (Intercept)                                 8.040e-03
## AMcorrect                                  6.443e-129
## AMavRT                                      5.285e-02
## AMsdRT                                      4.216e-01
## AMmdRT                                      4.491e-01
## AMcorrect:AMavRT                            3.333e-07
## AMcorrect:AMincorrect                       2.033e-03
## AMcorrect:AMsdRT                            8.828e-01
## AMavRT:AMsdRT                               2.674e-01
## AMcorrect:AMmdRT                            9.000e-03
## AMavRT:AMmdRT                               5.975e-02
## AMsdRT:AMmdRT                               4.789e-01
## AMcorrect:AMavRT:AMincorrect                2.722e-02
## AMcorrect:AMavRT:AMsdRT                     7.518e-01
## AMcorrect:AMincorrect:AMsdRT                5.408e-01
## AMcorrect:AMavRT:AMmdRT                     4.787e-03
## AMcorrect:AMincorrect:AMmdRT                3.102e-01
## AMcorrect:AMsdRT:AMmdRT                     6.884e-01
## AMavRT:AMsdRT:AMmdRT                        4.442e-02
## AMcorrect:AMavRT:AMincorrect:AMsdRT         3.605e-01
## AMcorrect:AMavRT:AMincorrect:AMmdRT         2.946e-02
## AMcorrect:AMavRT:AMsdRT:AMmdRT              9.946e-01
## AMcorrect:AMincorrect:AMsdRT:AMmdRT         4.427e-01
## AMcorrect:AMavRT:AMincorrect:AMsdRT:AMmdRT  5.373e-02
summary(AM.lm1)$r.squared
## [1] 0.9969
# step <- stepAIC(AM.lm1, direction='both')

Model 2

AM.lm2 = lm(AMefficiency ~ AMcorrect * AMavRT * AMincorrect * AMsdRT * AMmdRT, 
    data = AM, na.action = na.omit)
summary(AM.lm2)$coefficients
##                                              Estimate Std. Error   t value
## (Intercept)                                 2.878e+02  1.080e+02  2.663453
## AMcorrect                                   4.190e+01  1.163e+00 36.014848
## AMavRT                                     -1.281e-01  6.598e-02 -1.941793
## AMsdRT                                     -2.869e-02  3.567e-02 -0.804402
## AMmdRT                                     -4.090e-02  5.398e-02 -0.757652
## AMcorrect:AMavRT                           -3.848e-03  7.416e-04 -5.189143
## AMcorrect:AMincorrect                      -1.448e+00  4.663e-01 -3.105346
## AMcorrect:AMsdRT                           -7.682e-05  5.208e-04 -0.147502
## AMavRT:AMsdRT                               1.160e-05  1.045e-05  1.110681
## AMcorrect:AMmdRT                           -1.725e-03  6.571e-04 -2.624583
## AMavRT:AMmdRT                               2.072e-05  1.097e-05  1.887880
## AMsdRT:AMmdRT                               1.422e-05  2.006e-05  0.708775
## AMcorrect:AMavRT:AMincorrect                6.132e-04  2.767e-04  2.216352
## AMcorrect:AMavRT:AMsdRT                    -3.000e-08  9.479e-08 -0.316452
## AMcorrect:AMincorrect:AMsdRT                9.640e-05  1.575e-04  0.612064
## AMcorrect:AMavRT:AMmdRT                     3.283e-07  1.157e-07  2.836585
## AMcorrect:AMincorrect:AMmdRT                2.336e-04  2.299e-04  1.016032
## AMcorrect:AMsdRT:AMmdRT                     8.279e-08  2.063e-07  0.401377
## AMavRT:AMsdRT:AMmdRT                       -2.900e-09  1.438e-09 -2.016328
## AMcorrect:AMavRT:AMincorrect:AMsdRT        -4.257e-08  4.651e-08 -0.915403
## AMcorrect:AMavRT:AMincorrect:AMmdRT        -1.022e-07  4.680e-08 -2.184967
## AMcorrect:AMavRT:AMsdRT:AMmdRT             -9.485e-14  1.401e-11 -0.006769
## AMcorrect:AMincorrect:AMsdRT:AMmdRT        -6.804e-08  8.854e-08 -0.768410
## AMcorrect:AMavRT:AMincorrect:AMsdRT:AMmdRT  1.255e-11  6.488e-12  1.934619
##                                              Pr(>|t|)
## (Intercept)                                 8.040e-03
## AMcorrect                                  6.443e-129
## AMavRT                                      5.285e-02
## AMsdRT                                      4.216e-01
## AMmdRT                                      4.491e-01
## AMcorrect:AMavRT                            3.333e-07
## AMcorrect:AMincorrect                       2.033e-03
## AMcorrect:AMsdRT                            8.828e-01
## AMavRT:AMsdRT                               2.674e-01
## AMcorrect:AMmdRT                            9.000e-03
## AMavRT:AMmdRT                               5.975e-02
## AMsdRT:AMmdRT                               4.789e-01
## AMcorrect:AMavRT:AMincorrect                2.722e-02
## AMcorrect:AMavRT:AMsdRT                     7.518e-01
## AMcorrect:AMincorrect:AMsdRT                5.408e-01
## AMcorrect:AMavRT:AMmdRT                     4.787e-03
## AMcorrect:AMincorrect:AMmdRT                3.102e-01
## AMcorrect:AMsdRT:AMmdRT                     6.884e-01
## AMavRT:AMsdRT:AMmdRT                        4.442e-02
## AMcorrect:AMavRT:AMincorrect:AMsdRT         3.605e-01
## AMcorrect:AMavRT:AMincorrect:AMmdRT         2.946e-02
## AMcorrect:AMavRT:AMsdRT:AMmdRT              9.946e-01
## AMcorrect:AMincorrect:AMsdRT:AMmdRT         4.427e-01
## AMcorrect:AMavRT:AMincorrect:AMsdRT:AMmdRT  5.373e-02
summary(AM.lm2)$r.squared
## [1] 0.9969
# step <- stepAIC(AM.lm2, direction='both')

Model 3

AM.lm3 = lm(AMefficiency ~ AMcorrect * AMavRT * AMincorrect, data = AM, na.action = na.omit)
summary(AM.lm3)$coefficients
##                                Estimate Std. Error t value   Pr(>|t|)
## (Intercept)                  -2.121e+02  5.553e+01  -3.819  1.540e-04
## AMcorrect                     4.275e+01  8.755e-01  48.831 7.453e-177
## AMavRT                        5.089e-02  1.143e-02   4.451  1.094e-05
## AMcorrect:AMavRT             -4.022e-03  1.902e-04 -21.141  2.101e-68
## AMcorrect:AMincorrect         4.105e-01  2.362e-01   1.738  8.300e-02
## AMcorrect:AMavRT:AMincorrect -1.059e-04  4.886e-05  -2.167  3.077e-02
summary(AM.lm3)$r.squared
## [1] 0.9645
# step <- stepAIC(AM.lm3, direction='both')

Model 4

AM.lm4 = lm(AMefficiency ~ AMcorrect * AMavRT, data = AM, na.action = na.omit)
summary(AM.lm4)$coefficients
##                    Estimate Std. Error t value   Pr(>|t|)
## (Intercept)      -1.191e+02  1.328e+01  -8.966  9.586e-18
## AMcorrect         4.256e+01  8.683e-01  49.012 6.858e-178
## AMavRT            2.689e-02  2.829e-03   9.503  1.461e-19
## AMcorrect:AMavRT -3.969e-03  1.893e-04 -20.967  1.038e-67
summary(AM.lm4)$r.squared
## [1] 0.9641
# step <- stepAIC(AM.lm4, direction='both')

Model 5

AM.lm5 = lm(AMefficiency ~ AMcorrect * AMavRT * AMmdRT, data = AM, na.action = na.omit)
summary(AM.lm5)$coefficients
##                           Estimate Std. Error t value   Pr(>|t|)
## (Intercept)             -1.245e+02  1.431e+01  -8.701  7.297e-17
## AMcorrect                4.604e+01  9.701e-01  47.458 5.923e-172
## AMavRT                   2.288e-02  4.766e-03   4.801  2.189e-06
## AMmdRT                   3.376e-02  7.386e-03   4.571  6.379e-06
## AMcorrect:AMavRT        -4.328e-03  3.200e-04 -13.525  6.441e-35
## AMcorrect:AMmdRT        -3.131e-03  4.895e-04  -6.395  4.234e-10
## AMavRT:AMmdRT           -5.400e-06  5.683e-07  -9.502  1.522e-19
## AMcorrect:AMavRT:AMmdRT  5.058e-07  4.226e-08  11.970  1.177e-28
summary(AM.lm5)$r.squared
## [1] 0.9903
# step <- stepAIC(AM.lm5, direction='both')

Model 6

AM.lm6 = lm(AMefficiency ~ AMcorrect * AMavRT * AMsdRT, data = AM, na.action = na.omit)
summary(AM.lm6)$coefficients
##                           Estimate Std. Error  t value   Pr(>|t|)
## (Intercept)             -3.372e+01  1.145e+01  -2.9443  3.415e-03
## AMcorrect                3.973e+01  7.483e-01  53.0972 1.089e-189
## AMavRT                   1.176e-02  3.557e-03   3.3076  1.021e-03
## AMsdRT                  -7.131e-03  3.471e-03  -2.0544  4.055e-02
## AMcorrect:AMavRT        -3.582e-03  2.315e-04 -15.4742  3.686e-43
## AMcorrect:AMsdRT        -2.948e-04  2.369e-04  -1.2442  2.141e-01
## AMavRT:AMsdRT            2.533e-07  4.129e-07   0.6134  5.400e-01
## AMcorrect:AMavRT:AMsdRT  1.131e-07  2.914e-08   3.8831  1.195e-04
summary(AM.lm6)$r.squared
## [1] 0.9917
# step <- stepAIC(AM.lm6, direction='both')

Model 7

AM.lm7 = lm(AMefficiency ~ AMcorrect * AMsdRT * AMmdRT, data = AM, na.action = na.omit)
summary(AM.lm7)$coefficients
##                           Estimate Std. Error t value   Pr(>|t|)
## (Intercept)             -9.479e+01  1.839e+01  -5.155  3.896e-07
## AMcorrect                4.384e+01  1.232e+00  35.580 1.610e-129
## AMsdRT                   1.116e-02  4.571e-03   2.442  1.500e-02
## AMmdRT                   3.121e-02  6.067e-03   5.144  4.121e-07
## AMcorrect:AMsdRT        -2.361e-03  3.206e-04  -7.363  9.391e-13
## AMcorrect:AMmdRT        -4.985e-03  4.076e-04 -12.230  1.114e-29
## AMsdRT:AMmdRT           -4.045e-06  9.433e-07  -4.289  2.226e-05
## AMcorrect:AMsdRT:AMmdRT  4.747e-07  6.931e-08   6.849  2.623e-11
summary(AM.lm7)$r.squared
## [1] 0.9808
# step <- stepAIC(AM.lm5, direction='both')