Cost benefit conditions analysis

Load data

setwd("~/Projects/Prosociality DG_Sai/EX3 cost benefit")
pilotResult <- read.csv("pilotResult_core.csv")
library(ggplot2)

Describe MU shared and number of prosocial actors

normalMan  <- subset(pilotResult, pilotResult$Dictator_FinalValue >0)

aov_value = aov(Dictator_FinalValue~ConditionName,data=normalMan)                                
print(model.tables(aov_value,"means"),digits=3)
## Tables of means
## Grand mean
##       
## 39.31 
## 
##  ConditionName 
##     boost control penalty
##      31.2      45    42.8
## rep 152.0     151   109.0

Number of rational actors

rationalMan  <- subset(pilotResult, pilotResult$Dictator_FinalValue == 0)

aov_value = aov(Dictator_FinalValue~ConditionName,data=rationalMan)                                
print(model.tables(aov_value,"means"),digits=3)
## Tables of means
## Grand mean
##   
## 0 
## 
##  ConditionName 
##     boost control penalty
##         0       0       0
## rep    41      45      75

logic regression: comparison of number of rational man among three conditions

logic_df = data.frame(Condition= c("boost3","1control1", "penalty3"), rational=c(41,45,75), normal=c(152,151,109)) 
glm.out = glm(cbind(rational, normal) ~ Condition, family=binomial(logit), data=logic_df)
summary(glm.out)
## 
## Call:
## glm(formula = cbind(rational, normal) ~ Condition, family = binomial(logit), 
##     data = logic_df)
## 
## Deviance Residuals: 
## [1]  0  0  0
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)        -1.2106     0.1698   -7.13    1e-12 ***
## Conditionboost3    -0.0997     0.2446   -0.41  0.68355    
## Conditionpenalty3   0.8368     0.2266    3.69  0.00022 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance:  2.0992e+01  on 2  degrees of freedom
## Residual deviance: -7.3275e-15  on 0  degrees of freedom
## AIC: 22.34
## 
## Number of Fisher Scoring iterations: 3

Figure 1: Number of rational actor and prosocial actor in baseline study

number <- read.csv("graphs table.csv")
bar <- ggplot(number, aes(Condition, Number.of.participants, fill = Choices))
bar + stat_summary(fun.y = mean, geom = "bar") + stat_summary(fun.data = mean_cl_normal, geom = "errorbar",  width = 0.2) + facet_wrap(~Choices)+ labs(x = "Cost benefit conditions", y = "Number of participants", fill = "Choices")+ggtitle("Experiment 2")

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Analysis on prosocial men

MU shared in cost benefit groups

model <- lm(Dictator_FinalValue ~ boost3 + penalty3, data = pilotResult[pilotResult$Dictator_FinalValue>0,], na.action = na.omit)
summary(model)
## 
## Call:
## lm(formula = Dictator_FinalValue ~ boost3 + penalty3, data = pilotResult[pilotResult$Dictator_FinalValue > 
##     0, ], na.action = na.omit)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -44.01  -6.15   1.85   4.99  68.85 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)    45.01       1.62   27.76  < 2e-16 ***
## boost3        -13.86       2.29   -6.05  3.2e-09 ***
## penalty3       -2.23       2.50   -0.89     0.37    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 19.9 on 409 degrees of freedom
## Multiple R-squared:  0.0914, Adjusted R-squared:  0.087 
## F-statistic: 20.6 on 2 and 409 DF,  p-value: 3.05e-09

Figure 3: MU shared for prosocial actor

bar <- ggplot(normalMan, aes(ConditionName, Dictator_FinalValue))
bar + stat_summary(fun.y = mean, geom = "bar", fill= "White", colour = "Black")+ stat_summary(fun.data = mean_cl_normal, geom = "errorbar") + labs(x ="ConditionName", y = "MU shared")+ggtitle("Experiment 2")

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MU shared distribution in three conditions

boost <- subset(pilotResult, pilotResult$ConditionName == "boost"& pilotResult$Dictator_FinalValue>0,) 
penalty <- subset(pilotResult, pilotResult$ConditionName == "penalty"& pilotResult$Dictator_FinalValue>0,) 
control <- subset(pilotResult, pilotResult$ConditionName == "control"& pilotResult$Dictator_FinalValue>0,) 
hist(boost$Dictator_FinalValue, main="MU shared in boosted donation condition", xlab="MU shared", ylab="Participants number")

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hist(penalty$Dictator_FinalValue,main="MU shared in penalized donation condition", xlab="MU shared", ylab="Participants number")

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hist(control$Dictator_FinalValue, main="MU shared in unmodified donation condition", xlab="MU shared", ylab="Participants number")

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