Load packages

Load Data

setwd("~/Desktop/R Projects/WPT")
WPT1 <- read.csv("wpt_study1_6.19.2020.csv", header=T, stringsAsFactors = FALSE, na.strings=c("","NA"))
WPT2 <- read.csv("Pred2Full.08.06.2020.csv", header=T, stringsAsFactors = FALSE, na.strings=c("","NA"))
WPT3 <- read.csv("Pred3Full.08.06.2020.csv", header=T, stringsAsFactors = FALSE, na.strings=c("","NA"))

Show # of participants removed due to low accuracy for all studies

length(count_NAStudy1)## 20 in study 2
## [1] 9
length(count_NAStudy3)## 15 in study 3
## [1] 10

plot average accuracies and raw learning rate over time for each study

#Study 1 
ggplot(WPT1Summary, aes(x=as.factor(Condition), y=mean_acc)) +
  geom_bar(stat = "identity", alpha=0.5) +
  geom_errorbar(aes(x=as.factor(Condition), ymin=mean_acc-SE_PL, ymax=mean_acc+SE_PL))+
  coord_cartesian(ylim = c(0, 1))

#Study 1 
ggplot(WPT1, aes(Trial, acc, color = Condition)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'

#Study 2
ggplot(WPT2Summary, aes(x=as.factor(Condition), y=mean_acc)) +
  geom_bar(stat = "identity", alpha=0.5) +
  geom_errorbar(aes(x=as.factor(Condition), ymin=mean_acc-SE_PL, ymax=mean_acc+SE_PL))+
  coord_cartesian(ylim = c(0, 1))

#Study2
ggplot(WPT2, aes(Trial, acc, color = Condition)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'

#Study 3
ggplot(WPT3Summary, aes(x=as.factor(Condition), y=meanAcc)) +
  geom_bar(stat = "identity", alpha=0.5) +
  geom_errorbar(aes(x=as.factor(Condition), ymin=meanAcc-SE_PL, ymax=meanAcc+SE_PL))+
  coord_cartesian(ylim = c(0, 1))

#Study3
ggplot(WPT3, aes(Trial, acc, color = Condition)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 798 rows containing non-finite values (stat_smooth).

########RL Results#######

Plot BIC Summed Difference From Baseline Model (i.e. model that does not take into account experimental design)

#Maximum Likelihood Study 2
ggplot(RL.ML.2, aes(x = Cond, y = SumBIC))+ facet_grid(~model) +geom_col(aes(fill = Cond), position  = position_stack(reverse = TRUE))+
  theme(axis.title.x=element_blank(),
        axis.text.x=element_blank(),
        axis.ticks.x=element_blank())

#MAP Likelihood Study 2
ggplot(RL.Map.2, aes(x = Cond, y = SumBIC))+ facet_grid(~model) +geom_col(aes(fill = Cond), position  = position_stack(reverse = TRUE))+
  theme(axis.title.x=element_blank(),
        axis.text.x=element_blank(),
        axis.ticks.x=element_blank())

#Maximum Likelihood Study 2
ggplot(RL.ML.3, aes(x = Cond, y = SumBIC))+ facet_grid(~model) +geom_col(aes(fill = Cond), position  = position_stack(reverse = TRUE))+
  theme(axis.title.x=element_blank(),
        axis.text.x=element_blank(),
        axis.ticks.x=element_blank())

#MAP Likelihood Study 3
ggplot(RL.Map.3, aes(x = Cond, y = SumBIC))+ facet_grid(~model) +geom_col(aes(fill = Cond), position  = position_stack(reverse = TRUE))+
  theme(axis.title.x=element_blank(),
        axis.text.x=element_blank(),
        axis.ticks.x=element_blank())

Plotting and Testing for ET Decay BIC differences

#summarize study 2 BIC 
BIC.Sum.2.ETDecay <- WPT2FullRL %>% # the names of the new data frame and the data frame to be summarised
  group_by(Cond) %>%   # the grouping variable
  dplyr::summarise(SumBIC = sum(BIC, na.rm = T),  # calculates the mean of each group
                   sd_PL = sd(BIC),
                   n_PL = n(),  # calculates the sample size per group
                   SE_PL = sd(BIC)/sqrt(n())) # calculates the standard error of each group
## `summarise()` ungrouping output (override with `.groups` argument)
#summarize study 3 BIC 
BIC.Sum.3.ETDecay <- WPT3FullRL %>% # the names of the new data frame and the data frame to be summarised
  group_by(Cond) %>%   # the grouping variable
  dplyr::summarise(SumBIC = sum(BIC, na.rm = T),  # calculates the mean of each group
                   sd_PL = sd(BIC),
                   n_PL = n(),  # calculates the sample size per group
                   SE_PL = sd(BIC)/sqrt(n())) # calculates the standard error of each group
## `summarise()` ungrouping output (override with `.groups` argument)
#Run ANOVA, post hoc tests and for study 2 BIC 
WPT2FullRL.AOV <- aov(WPT2FullRL$BIC~WPT2FullRL$Cond)
summary(WPT2FullRL.AOV)
##                  Df  Sum Sq Mean Sq F value Pr(>F)  
## WPT2FullRL$Cond   3   27858    9286   2.867 0.0365 *
## Residuals       369 1195136    3239                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
TukeyHSD(WPT2FullRL.AOV)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = WPT2FullRL$BIC ~ WPT2FullRL$Cond)
## 
## $`WPT2FullRL$Cond`
##                         diff       lwr       upr     p adj
## StealCl-steal     -16.166597 -37.65531  5.322113 0.2125431
## Weather-steal     -22.874670 -44.41835 -1.330994 0.0325028
## WeatherFa-steal   -18.948126 -40.72222  2.825971 0.1130017
## Weather-StealCl    -6.708074 -27.96327 14.547122 0.8476182
## WeatherFa-StealCl  -2.781529 -24.27024 18.707180 0.9871347
## WeatherFa-Weather   3.926544 -17.61713 25.470221 0.9655238
ggplot(BIC.Sum.2.ETDecay, aes(x=as.factor(Cond), y=SumBIC)) +
  geom_bar(stat = "identity", alpha=0.5) +
  geom_errorbar(aes(x=as.factor(Cond), ymin=SumBIC-SE_PL, ymax=SumBIC+SE_PL))+
  coord_cartesian(ylim = c(100, 25000))

#Run T.Test, post hoc tests and for study 3 BIC 
t.test(WPT3FullRL$BIC~WPT3FullRL$Cond)
## 
##  Welch Two Sample t-test
## 
## data:  WPT3FullRL$BIC by WPT3FullRL$Cond
## t = 0.40201, df = 203.12, p-value = 0.6881
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -12.91607  19.53181
## sample estimates:
## mean in group Negative mean in group Positive 
##               191.3123               188.0044
ggplot(BIC.Sum.3.ETDecay, aes(x=as.factor(Cond), y=SumBIC)) +
  geom_bar(stat = "identity", alpha=0.5) +
  geom_errorbar(aes(x=as.factor(Cond), ymin=SumBIC-SE_PL, ymax=SumBIC+SE_PL))+
  coord_cartesian(ylim = c(100, 25000))

#Test for Differences Between Studies 2 and 3 steal conditions
Steal3 <- WPT3FullRL[which(WPT3FullRL$Cond == "Negative"),]
Steal2 <- WPT2FullRL[which(WPT2FullRL$Cond == "steal"),]
t.test(Steal3$BIC,Steal2$BIC, paired = F) # Not sig different
## 
##  Welch Two Sample t-test
## 
## data:  Steal3$BIC and Steal2$BIC
## t = -0.81451, df = 192.97, p-value = 0.4164
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -23.925483   9.940126
## sample estimates:
## mean of x mean of y 
##  191.3123  198.3050

Plot histograms of individual differences

hist(stealStudy2$SDO)

hist(stealStudy3$intergroup_anx)

hist(stealStudy2$IMS)

hist(stealStudy3$EMS)

hist(stealStudy2$Anneal)

hist(stealStudy3$EX)

hist(stealStudy2$HH)

hist(stealStudy3$blk_contact)

hist(stealStudy3$blk_exp)

hist(stealStudy3$avg_acc)

Plot All Correlations in stereotype congruency conditions

#Plot steal 2 correlations
S2.corr.Acc %>% 
  mutate(rowname = factor(rowname, levels = rowname[order(avg_acc)])) %>%  # Order by correlation strength
  ggplot(aes(x = rowname, y = avg_acc)) +
  geom_bar(stat = "identity") +
  ylab("Correlation with Alpha") +
  xlab("Variable") + theme_grey(base_size = 8)

#Plot steal 3 correlations
S.corr.Acc %>% 
  mutate(rowname = factor(rowname, levels = rowname[order(avg_acc)])) %>%  # Order by correlation strength
  ggplot(aes(x = rowname, y = avg_acc)) +
  geom_bar(stat = "identity") +
  ylab("Correlation with Alpha") +
  xlab("Variable") + theme_grey(base_size = 8)

#Plot Pos 3 correlations
T.Corr.Acc %>% 
  mutate(rowname = factor(rowname, levels = rowname[order(avg_acc)])) %>%  # Order by correlation strength
  ggplot(aes(x = rowname, y = avg_acc)) +
  geom_bar(stat = "identity") +
  ylab("Correlation with Alpha") +
  xlab("Variable") + theme_grey(base_size = 8)

Run logistic mixed models for all three studies

#Study1 logistic  
Study1Logistic<- glmer(acc~scale(Trial)*Condition_eff+ (1|Participant), data = WPT1, family = "binomial")
summary(Study1Logistic)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * Condition_eff + (1 | Participant)
##    Data: WPT1
## 
##      AIC      BIC   logLik deviance df.resid 
##  15714.0  15752.2  -7852.0  15704.0    15364 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.2249  0.1654  0.4100  0.5871  1.2260 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5528   0.7435  
## Number of obs: 15369, groups:  Participant, 52
## 
## Fixed effects:
##                                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                        1.32524    0.10961  12.090   <2e-16 ***
## scale(Trial)                       0.31301    0.02134  14.669   <2e-16 ***
## Condition_effWeather              -0.16532    0.10957  -1.509   0.1314    
## scale(Trial):Condition_effWeather  0.04870    0.02134   2.282   0.0225 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) Cndt_W
## scale(Tril)  0.030              
## Cndtn_ffWth -0.275 -0.008       
## scl(Tr):C_W -0.008 -0.329  0.030
#Study2 logistic
Study2Logistic<- glmer(acc~scale(Trial)*Condition_eff+ (1|Participant), data = WPT2, family = "binomial")
summary(Study2Logistic)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * Condition_eff + (1 | Participant)
##    Data: WPT2
## 
##      AIC      BIC   logLik deviance df.resid 
##  67997.7  68080.6 -33989.9  67979.7    73473 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.7111  0.2478  0.3796  0.5163  1.3856 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.3989   0.6316  
## Number of obs: 73482, groups:  Participant, 373
## 
## Fixed effects:
##                                          Estimate Std. Error z value Pr(>|z|)
## (Intercept)                              1.551765   0.034402  45.106  < 2e-16
## scale(Trial)                             0.476979   0.010061  47.408  < 2e-16
## Condition_effsteal                      -0.199452   0.059786  -3.336  0.00085
## Condition_effsteal_clouds                0.071534   0.060041   1.191  0.23349
## Condition_effweather_faces              -0.022965   0.058906  -0.390  0.69664
## scale(Trial):Condition_effsteal         -0.034462   0.016932  -2.035  0.04182
## scale(Trial):Condition_effsteal_clouds  -0.005911   0.017734  -0.333  0.73889
## scale(Trial):Condition_effweather_faces -0.000869   0.017146  -0.051  0.95958
##                                            
## (Intercept)                             ***
## scale(Trial)                            ***
## Condition_effsteal                      ***
## Condition_effsteal_clouds                  
## Condition_effweather_faces                 
## scale(Trial):Condition_effsteal         *  
## scale(Trial):Condition_effsteal_clouds     
## scale(Trial):Condition_effweather_faces    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##                     (Intr) scl(T) Cndtn_ Cndtn_ffs_ Cndtn_ffw_ sc(T):C_
## scale(Tril)          0.082                                             
## Cndtn_ffstl          0.008 -0.011                                      
## Cndtn_ffst_          0.015  0.003 -0.342                               
## Cndtn_ffwt_         -0.018 -0.003 -0.329 -0.332                        
## scl(Trl):C_         -0.011 -0.049  0.069 -0.023     -0.019             
## scl(Trl):Cndtn_ffs_  0.003  0.031 -0.022  0.082     -0.027     -0.328  
## scl(Trl):Cndtn_ffw_ -0.003 -0.027 -0.019 -0.027      0.079     -0.303  
##                     scl(Trl):Cndtn_ffs_
## scale(Tril)                            
## Cndtn_ffstl                            
## Cndtn_ffst_                            
## Cndtn_ffwt_                            
## scl(Trl):C_                            
## scl(Trl):Cndtn_ffs_                    
## scl(Trl):Cndtn_ffw_ -0.335
#Study3 logistic
WPT3 <- WPT3[!is.na(WPT3$Pattern),]
Study3Logistic<- glmer(acc~scale(Trial)*Condition_eff+ (1|Participant), data = WPT3, family = "binomial")
summary(Study3Logistic)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * Condition_eff + (1 | Participant)
##    Data: WPT3
## 
##      AIC      BIC   logLik deviance df.resid 
##  34331.8  34374.4 -17160.9  34321.8    36977 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.1169  0.2258  0.3701  0.5238  1.4513 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4955   0.7039  
## Number of obs: 36982, groups:  Participant, 178
## 
## Fixed effects:
##                                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                    1.502380   0.075624  19.867   <2e-16 ***
## scale(Trial)                   0.542954   0.019219  28.250   <2e-16 ***
## Condition_effpos              -0.024386   0.110008  -0.222    0.825    
## scale(Trial):Condition_effpos -0.009686   0.028502  -0.340    0.734    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) Cndtn_
## scale(Tril)  0.076              
## Condtn_ffps -0.687 -0.051       
## scl(Trl):C_ -0.050 -0.674  0.075

#individual differences mixed models

#individual differences for Study 2 steal
Steal2EMS <- glmer(acc~scale(Trial)*EMS_sca + (1|Participant), data = stealStudy2, family = "binomial")
summary(Steal2EMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * EMS_sca + (1 | Participant)
##    Data: stealStudy2
## 
##      AIC      BIC   logLik deviance df.resid 
##  16268.4  16306.9  -8129.2  16258.4    16336 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.0829  0.2136  0.4028  0.5588  1.4717 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4664   0.683   
## Number of obs: 16341, groups:  Participant, 83
## 
## Fixed effects:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.35662    0.07796  17.401  < 2e-16 ***
## scale(Trial)          0.46569    0.02028  22.958  < 2e-16 ***
## EMS_sca              -0.12928    0.07754  -1.667   0.0955 .  
## scale(Trial):EMS_sca -0.08406    0.02016  -4.170 3.04e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) EMS_sc
## scale(Tril)  0.064              
## EMS_sca     -0.010 -0.018       
## scl(T):EMS_ -0.018 -0.078  0.065
plot_model(Steal2EMS, type = "pred", terms = c("Trial","EMS_sca"))
## Data were 'prettified'. Consider using `terms="Trial [all]"` to get smooth plots.

Steal2IMS <- glmer(acc~scale(Trial)*IMS_sca + (1|Participant), data = stealStudy2, family = "binomial")
summary(Steal2IMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * IMS_sca + (1 | Participant)
##    Data: stealStudy2
## 
##      AIC      BIC   logLik deviance df.resid 
##  16788.6  16827.2  -8389.3  16778.6    16733 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.6188  0.2225  0.4044  0.5663  1.3487 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4387   0.6623  
## Number of obs: 16738, groups:  Participant, 85
## 
## Fixed effects:
##                       Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.337195   0.074836  17.868   <2e-16 ***
## scale(Trial)          0.450382   0.019905  22.627   <2e-16 ***
## IMS_sca              -0.183959   0.074691  -2.463   0.0138 *  
## scale(Trial):IMS_sca -0.007651   0.020300  -0.377   0.7062    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) IMS_sc
## scale(Tril)  0.062              
## IMS_sca     -0.012 -0.012       
## scl(T):IMS_ -0.012 -0.087  0.066
Steal2IntAnx <- glmer(acc~scale(Trial)*intergroup_anx_sca + (1|Participant), data = stealStudy2, family = "binomial")
summary(Steal2IntAnx)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * intergroup_anx_sca + (1 | Participant)
##    Data: stealStudy2
## 
##      AIC      BIC   logLik deviance df.resid 
##  16903.5  16942.2  -8446.8  16893.5    16933 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.8243  0.2246  0.4019  0.5635  1.4151 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4739   0.6884  
## Number of obs: 16938, groups:  Participant, 86
## 
## Fixed effects:
##                                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                      1.35043    0.07713  17.508   <2e-16 ***
## scale(Trial)                     0.45356    0.01981  22.893   <2e-16 ***
## intergroup_anx_sca              -0.08519    0.07683  -1.109    0.268    
## scale(Trial):intergroup_anx_sca -0.02814    0.01964  -1.433    0.152    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) intr__
## scale(Tril)  0.061              
## intrgrp_nx_ -0.003 -0.009       
## scl(Trl):__ -0.009 -0.053  0.059
Steal2blkCon <- glmer(acc~scale(Trial)*blk_contact_sca + (1|Participant), data = stealStudy2, family = "binomial")
summary(Steal2blkCon)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_contact_sca + (1 | Participant)
##    Data: stealStudy2
## 
##      AIC      BIC   logLik deviance df.resid 
##  16905.4  16944.1  -8447.7  16895.4    16933 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.6892  0.2266  0.4010  0.5633  1.3675 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4768   0.6905  
## Number of obs: 16938, groups:  Participant, 86
## 
## Fixed effects:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                   1.34992    0.07734  17.454   <2e-16 ***
## scale(Trial)                  0.45175    0.01979  22.832   <2e-16 ***
## blk_contact_sca               0.05113    0.07766   0.658    0.510    
## scale(Trial):blk_contact_sca -0.01698    0.02024  -0.839    0.401    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_c_
## scale(Tril)  0.060              
## blk_cntct_s  0.007 -0.001       
## scl(Trl):__ -0.001  0.023  0.060
Steal2blkExt <- glmer(acc~scale(Trial)*blk_exp_sca + (1|Participant), data = stealStudy2, family = "binomial")
summary(Steal2blkExt)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_exp_sca + (1 | Participant)
##    Data: stealStudy2
## 
##      AIC      BIC   logLik deviance df.resid 
##  15388.2  15426.5  -7689.1  15378.2    15568 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.6752  0.2331  0.3976  0.5562  1.3524 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4694   0.6851  
## Number of obs: 15573, groups:  Participant, 79
## 
## Fixed effects:
##                          Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               1.37729    0.08015  17.183   <2e-16 ***
## scale(Trial)              0.45918    0.02077  22.105   <2e-16 ***
## blk_exp_sca              -0.02403    0.08003  -0.300    0.764    
## scale(Trial):blk_exp_sca -0.01728    0.02061  -0.839    0.402    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_x_
## scale(Tril)  0.062              
## blk_exp_sca  0.000 -0.004       
## scl(Trl):__ -0.004 -0.015  0.060
#individual differences for Study 3 steal
Steal3EMS <- glmer(acc~scale(Trial)*EMS_sca + (1|Participant), data = stealStudy3, family = "binomial")
summary(Steal3EMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * EMS_sca + (1 | Participant)
##    Data: stealStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  18363.6  18403.0  -9176.8  18353.6    19783 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.8585  0.2278  0.3686  0.5249  1.3614 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5153   0.7178  
## Number of obs: 19788, groups:  Participant, 93
## 
## Fixed effects:
##                       Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.475573   0.077392  19.066   <2e-16 ***
## scale(Trial)          0.531402   0.019562  27.166   <2e-16 ***
## EMS_sca               0.006076   0.054428   0.112    0.911    
## scale(Trial):EMS_sca -0.024489   0.019651  -1.246    0.213    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) EMS_sc
## scale(Tril)  0.068              
## EMS_sca      0.020 -0.001       
## scl(T):EMS_  0.000  0.036  0.107
Steal3IMS <- glmer(acc~scale(Trial)*IMS_sca + (1|Participant), data = stealStudy3, family = "binomial")
summary(Steal3IMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * IMS_sca + (1 | Participant)
##    Data: stealStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  17789.0  17828.3  -8889.5  17779.0    19395 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.8726  0.2157  0.3610  0.5288  1.5375 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5356   0.7318  
## Number of obs: 19400, groups:  Participant, 91
## 
## Fixed effects:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.50793    0.08021  18.799  < 2e-16 ***
## scale(Trial)          0.55499    0.02013  27.564  < 2e-16 ***
## IMS_sca              -0.06188    0.07473  -0.828    0.408    
## scale(Trial):IMS_sca -0.14934    0.01987  -7.517  5.6e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) IMS_sc
## scale(Tril)  0.073              
## IMS_sca     -0.112 -0.030       
## scl(T):IMS_ -0.026 -0.124  0.087
Steal3IntAnx <- glmer(acc~scale(Trial)*intergroup_anx_sca + (1|Participant), data = stealStudy3, family = "binomial")
summary(Steal3IntAnx)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * intergroup_anx_sca + (1 | Participant)
##    Data: stealStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  17526.9  17566.2  -8758.4  17516.9    19222 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.0687  0.2260  0.3639  0.5144  1.3872 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5239   0.7238  
## Number of obs: 19227, groups:  Participant, 90
## 
## Fixed effects:
##                                  Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                      1.526226   0.079541  19.188   <2e-16 ***
## scale(Trial)                     0.534083   0.020101  26.569   <2e-16 ***
## intergroup_anx_sca              -0.025612   0.050557  -0.507    0.612    
## scale(Trial):intergroup_anx_sca -0.006246   0.020761  -0.301    0.764    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) intr__
## scale(Tril)  0.071              
## intrgrp_nx_ -0.066 -0.009       
## scl(Trl):__ -0.008 -0.058  0.130
Steal3blkCon <- glmer(acc~scale(Trial)*blk_contact_sca + (1|Participant), data = stealStudy3, family = "binomial")
summary(Steal3blkCon)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_contact_sca + (1 | Participant)
##    Data: stealStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  18294.2  18333.7  -9142.1  18284.2    19781 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.2679  0.2209  0.3680  0.5236  1.4229 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5314   0.729   
## Number of obs: 19786, groups:  Participant, 93
## 
## Fixed effects:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                   1.48855    0.07856  18.948   <2e-16 ***
## scale(Trial)                  0.53036    0.01963  27.019   <2e-16 ***
## blk_contact_sca              -0.07254    0.07416  -0.978   0.3280    
## scale(Trial):blk_contact_sca -0.03260    0.01858  -1.755   0.0793 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_c_
## scale(Tril)  0.068              
## blk_cntct_s -0.027 -0.009       
## scl(Trl):__ -0.009 -0.068  0.059
Steal3blkExt <- glmer(acc~scale(Trial)*blk_exp_sca + (1|Participant), data = stealStudy3, family = "binomial")
summary(Steal3blkExt)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_exp_sca + (1 | Participant)
##    Data: stealStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  17348.8  17388.0  -8669.4  17338.8    18631 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.1521  0.2170  0.3722  0.5267  1.4946 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5085   0.7131  
## Number of obs: 18636, groups:  Participant, 87
## 
## Fixed effects:
##                          Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               1.46243    0.07951  18.394  < 2e-16 ***
## scale(Trial)              0.54010    0.02019  26.748  < 2e-16 ***
## blk_exp_sca              -0.10206    0.08016  -1.273  0.20294    
## scale(Trial):blk_exp_sca -0.06303    0.01996  -3.158  0.00159 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_x_
## scale(Tril)  0.070              
## blk_exp_sca -0.016 -0.015       
## scl(Trl):__ -0.015 -0.083  0.067
#individual differences for Study 3 Touchdown
Steal3EMS <- glmer(acc~scale(Trial)*EMS_sca + (1|Participant), data = posStudy3, family = "binomial")
summary(Steal3EMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * EMS_sca + (1 | Participant)
##    Data: posStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  15180.1  15218.5  -7585.0  15170.1    16011 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.1131  0.2326  0.3806  0.5343  1.4956 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.445    0.6671  
## Number of obs: 16016, groups:  Participant, 83
## 
## Fixed effects:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.48000    0.07659  19.325  < 2e-16 ***
## scale(Trial)          0.53390    0.02142  24.931  < 2e-16 ***
## EMS_sca               0.08321    0.07632   1.090  0.27559    
## scale(Trial):EMS_sca  0.05584    0.02142   2.607  0.00914 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) EMS_sc
## scale(Tril) 0.078               
## EMS_sca     0.005  0.016        
## scl(T):EMS_ 0.016  0.058  0.079
Steal3IMS <- glmer(acc~scale(Trial)*IMS_sca + (1|Participant), data = posStudy3, family = "binomial")
summary(Steal3IMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * IMS_sca + (1 | Participant)
##    Data: posStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  14799.0  14837.3  -7394.5  14789.0    15635 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.0777  0.2326  0.3793  0.5318  1.4461 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4585   0.6772  
## Number of obs: 15640, groups:  Participant, 81
## 
## Fixed effects:
##                        Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.4824451  0.0785987  18.861   <2e-16 ***
## scale(Trial)          0.5342336  0.0216454  24.681   <2e-16 ***
## IMS_sca               0.0377341  0.0789442   0.478    0.633    
## scale(Trial):IMS_sca -0.0005933  0.0227181  -0.026    0.979    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) IMS_sc
## scale(Tril) 0.076               
## IMS_sca     0.001  0.004        
## scl(T):IMS_ 0.003  0.022  0.085
Steal3IntAnx <- glmer(acc~scale(Trial)*intergroup_anx_sca + (1|Participant), data = posStudy3, family = "binomial")
summary(Steal3IntAnx)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * intergroup_anx_sca + (1 | Participant)
##    Data: posStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  15002.5  15040.8  -7496.2  14992.5    15824 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.0182  0.2305  0.3799  0.5331  1.4931 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4556   0.675   
## Number of obs: 15829, groups:  Participant, 82
## 
## Fixed effects:
##                                  Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                      1.478017   0.077881  18.978   <2e-16 ***
## scale(Trial)                     0.535403   0.021511  24.889   <2e-16 ***
## intergroup_anx_sca              -0.008934   0.077624  -0.115   0.9084    
## scale(Trial):intergroup_anx_sca -0.044878   0.020894  -2.148   0.0317 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) intr__
## scale(Tril)  0.076              
## intrgrp_nx_  0.000 -0.008       
## scl(Trl):__ -0.008 -0.025  0.070
Steal3blkCon <- glmer(acc~scale(Trial)*blk_contact_sca + (1|Participant), data = posStudy3, family = "binomial")
summary(Steal3blkCon)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_contact_sca + (1 | Participant)
##    Data: posStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  15172.9  15211.3  -7581.4  15162.9    16011 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.1930  0.2284  0.3832  0.5350  1.5449 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4381   0.6619  
## Number of obs: 16016, groups:  Participant, 83
## 
## Fixed effects:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                   1.48202    0.07606  19.486  < 2e-16 ***
## scale(Trial)                  0.53738    0.02149  25.009  < 2e-16 ***
## blk_contact_sca              -0.13546    0.07538  -1.797 0.072321 .  
## scale(Trial):blk_contact_sca -0.07157    0.02030  -3.526 0.000422 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_c_
## scale(Tril)  0.080              
## blk_cntct_s -0.010 -0.020       
## scl(Trl):__ -0.021 -0.095  0.062
Steal3blkExt <- glmer(acc~scale(Trial)*blk_exp_sca + (1|Participant), data = posStudy3, family = "binomial")
summary(Steal3blkExt)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_exp_sca + (1 | Participant)
##    Data: posStudy3
## 
##      AIC      BIC   logLik deviance df.resid 
##  14987.2  15025.5  -7488.6  14977.2    15834 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.0455  0.2342  0.3803  0.5317  1.4574 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4533   0.6733  
## Number of obs: 15839, groups:  Participant, 82
## 
## Fixed effects:
##                           Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               1.483065   0.077704  19.086   <2e-16 ***
## scale(Trial)              0.530639   0.021493  24.689   <2e-16 ***
## blk_exp_sca               0.009793   0.077166   0.127    0.899    
## scale(Trial):blk_exp_sca -0.011141   0.020472  -0.544    0.586    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_x_
## scale(Tril)  0.076              
## blk_exp_sca  0.001 -0.002       
## scl(Trl):__ -0.002 -0.007  0.064
#steal full
StealFullEMS <- glmer(acc~scale(Trial)*EMS_sca + (1|Participant), data = stealFull, family = "binomial")
summary(StealFullEMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * EMS_sca + (1 | Participant)
##    Data: stealFull
## 
##      AIC      BIC   logLik deviance df.resid 
##  34632.7  34675.2 -17311.4  34622.7    36124 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.4553  0.2289  0.3819  0.5418  1.4511 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4972   0.7052  
## Number of obs: 36129, groups:  Participant, 176
## 
## Fixed effects:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.41799    0.05524  25.670  < 2e-16 ***
## scale(Trial)          0.49893    0.01406  35.493  < 2e-16 ***
## EMS_sca              -0.04466    0.04448  -1.004    0.315    
## scale(Trial):EMS_sca -0.05841    0.01398  -4.177 2.95e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) EMS_sc
## scale(Tril)  0.065              
## EMS_sca      0.003 -0.013       
## scl(T):EMS_ -0.010 -0.030  0.088
StealFullIMS <- glmer(acc~scale(Trial)*IMS_sca + (1|Participant), data = stealFull, family = "binomial")
summary(StealFullIMS)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * IMS_sca + (1 | Participant)
##    Data: stealFull
## 
##      AIC      BIC   logLik deviance df.resid 
##  34609.2  34651.6 -17299.6  34599.2    36133 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.7310  0.2217  0.3808  0.5451  1.5848 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.497    0.705   
## Number of obs: 36138, groups:  Participant, 176
## 
## Fixed effects:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           1.42903    0.05536  25.815  < 2e-16 ***
## scale(Trial)          0.50349    0.01414  35.608  < 2e-16 ***
## IMS_sca              -0.12961    0.05374  -2.412   0.0159 *  
## scale(Trial):IMS_sca -0.07731    0.01396  -5.536 3.09e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) IMS_sc
## scale(Tril)  0.068              
## IMS_sca     -0.064 -0.020       
## scl(T):IMS_ -0.020 -0.109  0.073
StealFullIntAnx <- glmer(acc~scale(Trial)*intergroup_anx_sca + (1|Participant), data = stealFull, family = "binomial")
summary(StealFullIntAnx)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * intergroup_anx_sca + (1 | Participant)
##    Data: stealFull
## 
##      AIC      BIC   logLik deviance df.resid 
##  34430.9  34473.4 -17210.5  34420.9    36160 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.8278  0.2275  0.3806  0.5380  1.4414 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5043   0.7102  
## Number of obs: 36165, groups:  Participant, 176
## 
## Fixed effects:
##                                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                      1.44091    0.05569  25.873   <2e-16 ***
## scale(Trial)                     0.49411    0.01412  35.003   <2e-16 ***
## intergroup_anx_sca              -0.04617    0.04137  -1.116    0.264    
## scale(Trial):intergroup_anx_sca -0.02212    0.01444  -1.532    0.126    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) intr__
## scale(Tril)  0.066              
## intrgrp_nx_ -0.048 -0.012       
## scl(Trl):__ -0.010 -0.067  0.102
StealFullblkCon <- glmer(acc~scale(Trial)*blk_contact_sca + (1|Participant), data = stealFull, family = "binomial")
summary(StealFullblkCon)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_contact_sca + (1 | Participant)
##    Data: stealFull
## 
##      AIC      BIC   logLik deviance df.resid 
##  35199.5  35242.0 -17594.7  35189.5    36719 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.9400  0.2260  0.3822  0.5416  1.4230 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.5105   0.7145  
## Number of obs: 36724, groups:  Participant, 179
## 
## Fixed effects:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                   1.42042    0.05546  25.612   <2e-16 ***
## scale(Trial)                  0.49162    0.01392  35.319   <2e-16 ***
## blk_contact_sca              -0.01818    0.05399  -0.337   0.7363    
## scale(Trial):blk_contact_sca -0.02712    0.01372  -1.976   0.0481 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_c_
## scale(Tril)  0.063              
## blk_cntct_s -0.015 -0.005       
## scl(Trl):__ -0.006 -0.030  0.059
StealFullblkExt <- glmer(acc~scale(Trial)*blk_exp_sca + (1|Participant), data = stealFull, family = "binomial")
summary(StealFullblkExt)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scale(Trial) * blk_exp_sca + (1 | Participant)
##    Data: stealFull
## 
##      AIC      BIC   logLik deviance df.resid 
##  32735.9  32778.1 -16363.0  32725.9    34204 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.8929  0.2254  0.3828  0.5400  1.4153 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4908   0.7006  
## Number of obs: 34209, groups:  Participant, 166
## 
## Fixed effects:
##                          Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               1.42158    0.05654  25.145  < 2e-16 ***
## scale(Trial)              0.50105    0.01447  34.625  < 2e-16 ***
## blk_exp_sca              -0.06776    0.05674  -1.194  0.23238    
## scale(Trial):blk_exp_sca -0.04433    0.01432  -3.096  0.00196 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scl(T) blk_x_
## scale(Tril)  0.066              
## blk_exp_sca -0.015 -0.010       
## scl(Trl):__ -0.010 -0.056  0.062

RL differences by study & condition

#Study 2 Anneal by condition
Study2RLLog <- glmer(acc~scDecay*Condition_eff + (1|Participant), data = WPT2, family = "binomial")
summary(Study2RLLog)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scDecay * Condition_eff + (1 | Participant)
##    Data: WPT2
## 
##      AIC      BIC   logLik deviance df.resid 
##  70297.8  70380.6 -35139.9  70279.8    73473 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.5356  0.3072  0.4099  0.5191  0.9213 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.3085   0.5554  
## Number of obs: 73482, groups:  Participant, 373
## 
## Fixed effects:
##                                    Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                         1.47492    0.03095  47.650   <2e-16 ***
## scDecay                            -0.26715    0.03106  -8.601   <2e-16 ***
## Condition_effsteal                 -0.13496    0.05391  -2.504   0.0123 *  
## Condition_effsteal_clouds           0.01936    0.05406   0.358   0.7202    
## Condition_effweather_faces         -0.05997    0.05283  -1.135   0.2563    
## scDecay:Condition_effsteal          0.04365    0.05261   0.830   0.4067    
## scDecay:Condition_effsteal_clouds  -0.07012    0.05685  -1.233   0.2174    
## scDecay:Condition_effweather_faces -0.03666    0.05494  -0.667   0.5046    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##                  (Intr) scDecy Cndtn_ Cndtn_ffs_ Cndtn_ffw_ scD:C_
## scDecay           0.001                                           
## Cndtn_ffstl       0.012 -0.109                                    
## Cndtn_ffst_       0.016  0.114 -0.344                             
## Cndtn_ffwt_      -0.023  0.088 -0.329 -0.331                      
## scDcy:Cndt_      -0.112 -0.038 -0.127 -0.003      0.013           
## scDcy:Cndtn_ffs_  0.108  0.097 -0.003  0.125     -0.112     -0.358
## scDcy:Cndtn_ffw_  0.085  0.037  0.012 -0.113      0.101     -0.334
##                  scDcy:Cndtn_ffs_
## scDecay                          
## Cndtn_ffstl                      
## Cndtn_ffst_                      
## Cndtn_ffwt_                      
## scDcy:Cndt_                      
## scDcy:Cndtn_ffs_                 
## scDcy:Cndtn_ffw_ -0.383
#Study 2 predicting RT by Anneal by condition
Study2RLRT <- lmer(RT~scDecay*Condition_eff +(1|Participant), data = WPT2)
summary(Study2RLRT)
## Linear mixed model fit by REML ['lmerMod']
## Formula: RT ~ scDecay * Condition_eff + (1 | Participant)
##    Data: WPT2
## 
## REML criterion at convergence: 323716.5
## 
## Scaled residuals: 
##    Min     1Q Median     3Q    Max 
## -1.380 -0.293 -0.120  0.151 78.768 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.1327   0.3643  
##  Residual                4.7471   2.1788  
## Number of obs: 73482, groups:  Participant, 373
## 
## Fixed effects:
##                                    Estimate Std. Error t value
## (Intercept)                         1.93603    0.02085  92.849
## scDecay                             0.02192    0.02102   1.043
## Condition_effsteal                  0.04931    0.03642   1.354
## Condition_effsteal_clouds           0.07717    0.03651   2.113
## Condition_effweather_faces         -0.06511    0.03571  -1.823
## scDecay:Condition_effsteal         -0.06178    0.03565  -1.733
## scDecay:Condition_effsteal_clouds   0.03091    0.03851   0.803
## scDecay:Condition_effweather_faces -0.02623    0.03721  -0.705
## 
## Correlation of Fixed Effects:
##                  (Intr) scDecy Cndtn_ Cndtn_ffs_ Cndtn_ffw_ scD:C_
## scDecay           0.017                                           
## Cndtn_ffstl       0.015 -0.113                                    
## Cndtn_ffst_       0.019  0.118 -0.346                             
## Cndtn_ffwt_      -0.020  0.088 -0.332 -0.333                      
## scDcy:Cndt_      -0.116 -0.036 -0.115 -0.009      0.010           
## scDcy:Cndtn_ffs_  0.113  0.098 -0.008  0.145     -0.120     -0.359
## scDcy:Cndtn_ffw_  0.085  0.038  0.009 -0.121      0.117     -0.335
##                  scDcy:Cndtn_ffs_
## scDecay                          
## Cndtn_ffstl                      
## Cndtn_ffst_                      
## Cndtn_ffwt_                      
## scDcy:Cndt_                      
## scDcy:Cndtn_ffs_                 
## scDcy:Cndtn_ffw_ -0.384
#Study 3 Anneal by condition
Study3RLLog <- glmer(acc~scDecay*Condition_eff+ (1|Participant), data = WPT3, family = "binomial")
summary(Study3RLLog)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: acc ~ scDecay * Condition_eff + (1 | Participant)
##    Data: WPT3
## 
##      AIC      BIC   logLik deviance df.resid 
##  35844.9  35887.5 -17917.5  35834.9    36977 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.8776  0.2954  0.4049  0.5409  0.9231 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  Participant (Intercept) 0.4017   0.6338  
## Number of obs: 36982, groups:  Participant, 178
## 
## Fixed effects:
##                           Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               1.421974   0.068203  20.849  < 2e-16 ***
## scDecay                  -0.230426   0.066718  -3.454 0.000553 ***
## Condition_effpos          0.001927   0.099686   0.019 0.984574    
## scDecay:Condition_effpos  0.010864   0.098484   0.110 0.912160    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) scDecy Cndtn_
## scDecay     -0.028              
## Condtn_ffps -0.683  0.019       
## scDcy:Cndt_  0.019 -0.678 -0.080

Plot individual differences

#study 2 intergroup anxiety 
stealStudy2 <- stealStudy2[!is.na(stealStudy2$IntAnxDich),]
ggplot(stealStudy2, aes(Trial, acc, color = IntAnxDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'

#study 3 intergroup anxiety 
stealStudy3 <- stealStudy3[!is.na(stealStudy3$IntAnxDich),]
ggplot(stealStudy3, aes(Trial, acc, color = IntAnxDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 414 rows containing non-finite values (stat_smooth).

#study 2 EMS
stealStudy2plot <- stealStudy2[!is.na(stealStudy2$EMSDich),]
ggplot(stealStudy2plot, aes(Trial, acc, color = EMSDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'

#study 3 EMS
stealStudy3plot <- stealStudy3[!is.na(stealStudy3$EMSDich),]
ggplot(stealStudy3plot, aes(Trial, acc, color = EMSDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 380 rows containing non-finite values (stat_smooth).

#study 2 IMS
stealStudy2plot <- stealStudy2[!is.na(stealStudy2$IMSDich),]
ggplot(stealStudy2plot, aes(Trial, acc, color = IMSDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'

#study 3 IMS
stealStudy3plot <- stealStudy3[!is.na(stealStudy3$IMSDich),]
ggplot(stealStudy3plot, aes(Trial, acc, color = IMSDich)) + 
  geom_smooth(method = "loess")+
  scale_y_continuous(name = "Accuracy") 
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 336 rows containing non-finite values (stat_smooth).