Main Model (w/o repeated factors): Election legitimacy = Party ID x Time
# Augmented Model
vote.party.time.a <- lm(voteLegit ~ pDem_Rep +
pInd_Not +
tDur_Post+
pDem_Rep:tDur_Post +
pInd_Not:tDur_Post, data = d)
# Compact Model
vote.party.time.c <- lm(voteLegit ~ pDem_Rep +
pInd_Not +
tDur_Post, data = d)
# model comparison
modelCompare(vote.party.time.c, vote.party.time.a) # Gives F-value and partial eta squared for the 2df test of party ID x Timing
## SSE (Compact) = 1558.324
## SSE (Augmented) = 1530.822
## Delta R-Squared = 0.01349716
## Partial Eta-Squared (PRE) = 0.01764868
## F(2,1202) = 10.79742, p = 2.250956e-05
Simple Effects of Timing, at each level of Party
# Democrats
vote.party.time.D <- lm(voteLegit ~ (pDemR + pDemI) * (tDur_Post), data = d)
mcSummary(vote.party.time.D)
## Loading required package: car
## Loading required package: carData
##
## Attaching package: 'car'
## The following object is masked from 'package:psych':
##
## logit
## lm(formula = voteLegit ~ (pDemR + pDemI) * (tDur_Post), data = d)
##
## Omnibus ANOVA
## SS df MS EtaSq F p
## Model 506.819 5 101.364 0.249 79.591 0
## Error 1530.822 1202 1.274
## Corr Total 2037.641 1207 1.688
##
## RMSE AdjEtaSq
## 1.129 0.246
##
## Coefficients
## Est StErr t SSR(3) EtaSq tol CI_2.5 CI_97.5 p
## (Intercept) 4.145 0.048 86.234 9470.640 0.861 NA 4.051 4.240 0.00
## pDemR -1.256 0.071 -17.647 396.631 0.206 0.881 -1.395 -1.116 0.00
## pDemI -1.188 0.096 -12.426 196.656 0.114 0.878 -1.375 -1.000 0.00
## tDur_Post 0.442 0.096 4.602 26.974 0.017 0.457 0.254 0.631 0.00
## pDemR:tDur_Post -0.651 0.142 -4.573 26.629 0.017 0.543 -0.930 -0.372 0.00
## pDemI:tDur_Post -0.446 0.191 -2.333 6.929 0.005 0.742 -0.821 -0.071 0.02
# Republicans
vote.party.time.R <- lm(voteLegit ~ (pRepD + pRepI) * (tDur_Post), data = d)
mcSummary(vote.party.time.R)
## lm(formula = voteLegit ~ (pRepD + pRepI) * (tDur_Post), data = d)
##
## Omnibus ANOVA
## SS df MS EtaSq F p
## Model 506.819 5 101.364 0.249 79.591 0
## Error 1530.822 1202 1.274
## Corr Total 2037.641 1207 1.688
##
## RMSE AdjEtaSq
## 1.129 0.246
##
## Coefficients
## Est StErr t SSR(3) EtaSq tol CI_2.5 CI_97.5 p
## (Intercept) 2.890 0.052 55.079 3863.595 0.716 NA 2.787 2.992 0.000
## pRepD 1.256 0.071 17.647 396.631 0.206 0.838 1.116 1.395 0.000
## pRepI 0.068 0.098 0.695 0.616 0.000 0.838 -0.124 0.260 0.487
## tDur_Post -0.208 0.105 -1.985 5.018 0.003 0.384 -0.414 -0.002 0.047
## pRepD:tDur_Post 0.651 0.142 4.573 26.629 0.017 0.454 0.372 0.930 0.000
## pRepI:tDur_Post 0.205 0.196 1.047 1.395 0.001 0.708 -0.179 0.589 0.295
# Independents
vote.party.time.I <- lm(voteLegit ~ (pIndD + pIndR) * (tDur_Post), data = d)
mcSummary(vote.party.time.I)
## lm(formula = voteLegit ~ (pIndD + pIndR) * (tDur_Post), data = d)
##
## Omnibus ANOVA
## SS df MS EtaSq F p
## Model 506.819 5 101.364 0.249 79.591 0
## Error 1530.822 1202 1.274
## Corr Total 2037.641 1207 1.688
##
## RMSE AdjEtaSq
## 1.129 0.246
##
## Coefficients
## Est StErr t SSR(3) EtaSq tol CI_2.5 CI_97.5 p
## (Intercept) 2.958 0.083 35.804 1632.591 0.516 NA 2.796 3.120 0.000
## pIndD 1.188 0.096 12.426 196.656 0.114 0.464 1.000 1.375 0.000
## pIndR -0.068 0.098 -0.695 0.616 0.000 0.466 -0.260 0.124 0.487
## tDur_Post -0.003 0.165 -0.021 0.001 0.000 0.155 -0.328 0.321 0.983
## pIndD:tDur_Post 0.446 0.191 2.333 6.929 0.005 0.252 0.071 0.821 0.020
## pIndR:tDur_Post -0.205 0.196 -1.047 1.395 0.001 0.287 -0.589 0.179 0.295