Very pessimistic statistical testing and modelling
p1<-35
p2<-42
b<-p2-p1
true_p1<-37
true_p2<-40
a<-true_p2-true_p1
p1_m<-40
p1_f<-2*true_p1-p1_m
p2_m<-35
p2_f<-2*true_p2-p2_m
p<-0.45
(p*p2_m+(1-p)*p2_f)-(p*p1_m+(1-p)*p1_f)
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