*data from Cohlen, BJ, Velde, ERT, Looman, CWN, Eijckemans, R, Habbema, JDF. Crossover or parallel design in infertility trials? The discussion continues, Fertility and Sterility 1998; 70: 40-45. #Model involving period effects only, period as a factor model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+beta2*period22[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+beta2*period2[i]+beta3*period33[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+beta2*period2[i]+beta3*period3[i]+beta4*period44[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period55[i]+beta6*period6[i]+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period66[i]+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-4) beta2 ~ dnorm(0,1.0E-4) beta3 ~ dnorm(0,1.0E-4) beta4 ~ dnorm(0,1.0E-4) beta5 ~ dnorm(0,1.0E-4) beta6 ~ dnorm(0,1.0E-4) tau ~ dgamma(1,1.0E-3) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , period2=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period3=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period4=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period5=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period6=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , period22=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , period33=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , period44=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , period55=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , period66=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=-4,beta2=1,beta3=1,beta4=1,beta5=1,beta6=1,tau=15,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,beta2=0.3,beta3=0.3,beta4=0.3,beta5=0.3,beta6=0.3,tau=10, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)) ********************************************************************************* ********************************************************************************* #Model involving both treatment and period effects, period as a factor model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+beta1*treatment1[i]+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+beta1*treatment2[i]+beta2*period22[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+beta1*treatment3[i]+beta2*period2[i]+beta3*period33[i]+beta4*period4[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+beta1*treatment4[i]+beta2*period2[i]+beta3*period3[i]+beta4*period44[i]+beta5*period5[i]+beta6*period6[i]+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+beta1*treatment5[i]+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period55[i]+beta6*period6[i]+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+beta1*treatment6[i]+beta2*period2[i]+beta3*period3[i]+beta4*period4[i]+beta5*period5[i]+beta6*period66[i]+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-4) beta1 ~ dnorm(0,1.0E-4) beta2 ~ dnorm(0,1.0E-4) beta3 ~ dnorm(0,1.0E-4) beta4 ~ dnorm(0,1.0E-4) beta5 ~ dnorm(0,1.0E-4) beta6 ~ dnorm(0,1.0E-4) tau ~ dgamma(1,1.0E-4) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , treatment1=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1), period2=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period3=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period4=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period5=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), period6=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0), outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , treatment2=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0), period22=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , treatment3=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0), period33=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , treatment4=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0), period44=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , treatment5=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1), period55=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , treatment6=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1), period66=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=20,beta1=20,beta2=20,beta3=20,beta4=40,beta5=40,beta6=40,tau=3,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,beta1=0.3,beta2=0.3,beta3=0.3,beta4=0.3,beta5=0.3,beta6=0.3,tau=1, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)) ****************************************************************************************************** ****************************************************************************************************** #Model involving period effects only, period having linear effect model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+beta2*period1[i]+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+beta2*period2[i]+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+beta2*period3[i]+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+beta2*period4[i]+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+beta2*period5[i]+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+beta2*period6[i]+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-4) beta2 ~ dnorm(0,1.0E-4) tau ~ dgamma(1,1.0E-3) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , period1=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , period2=c(2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2), outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , period3=c(3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3), outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , period4=c(4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4), outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , period5=c(5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5), outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , period6=c(6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6), N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=-4,beta2=1,tau=15,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,beta2=0.3,tau=10, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)) ************************************************************************** ************************************************************************** #Model involving both tretment and period effects, period having linear effect model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+beta1*treatment1[i]+beta2*period1[i]+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+beta1*treatment2[i]+beta2*period2[i]+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+beta1*treatment3[i]+beta2*period3[i]+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+beta1*treatment4[i]+beta2*period4[i]+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+beta1*treatment5[i]+beta2*period5[i]+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+beta1*treatment6[i]+beta2*period6[i]+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-4) beta1 ~ dnorm(0,1.0E-4) beta2 ~ dnorm(0,1.0E-4) tau ~ dgamma(1,1.0E-4) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , treatment1=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1), period1=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , treatment2=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0), period2=c(2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2), outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , treatment3=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0), period3=c(3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3), outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , treatment4=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0), period4=c(4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4), outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , treatment5=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1), period5=c(5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5), outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , treatment6=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1), period6=c(6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6), N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=-4,beta1=1,beta2=1,tau=15,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,beta1=0.3,beta2=0.3,tau=10, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)) ******************************************************************************************** ******************************************************************************************** #The null Model model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-3) tau ~ dgamma(1.0E-4,1.0E-4) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=-4,tau=15,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,tau=10, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)) **************************************************************************************** **************************************************************************************** #Model involving treatment effect only model{ for( i in 1 : N1 ) { outcome1[i] ~ dbern(p1[i]) logit(p1[i]) <- intercept+beta1*treatment1[i]+b[i] b[i] ~ dnorm(0, tau) } for( i in 1 : N2 ){ outcome2[i] ~ dbern(p2[i]) logit(p2[i]) <- intercept+beta1*treatment2[i]+b[i] } for( i in 1 : N3 ){ outcome3[i] ~ dbern(p3[i]) logit(p3[i]) <- intercept+beta1*treatment3[i]+b[i] } for( i in 1 : N4 ){ outcome4[i] ~ dbern(p4[i]) logit(p4[i]) <- intercept+beta1*treatment4[i]+b[i] } for( i in 1 : N5 ){ outcome5[i] ~ dbern(p5[i]) logit(p5[i]) <- intercept+beta1*treatment5[i]+b[i] } for( i in 1 : N6 ){ outcome6[i] ~ dbern(p6[i]) logit(p6[i]) <- intercept+beta1*treatment6[i]+b[i] } sigma<- 1/sqrt(tau) intercept ~ dnorm(0,1.0E-3) beta1 ~ dnorm(0,1.0E-3) tau ~ dgamma(1.0E-4,1.0E-4) log.sigma<- log(sigma) } list(outcome1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1) , treatment1=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1), outcome2 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0) , treatment2=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0), outcome3 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 1, 1,1,1,1,1,1,1,1,1,1,0,0 ) , treatment3=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0), outcome4 =c( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0, 0, 0, 0 ,0, 0, 0, 0, 1, 1,0,0,0,0) , treatment4=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0), outcome5 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0,0,0,0,1, 1, 1, 1,0,0) , treatment5=c(0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1), outcome6 =c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 1, 1, 1 ) , treatment6=c(1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1), N1 = 74, N2=67, N3=59,N4=46, N5=40, N6=34), list(intercept=-4,beta1=1,tau=15,b=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0 ,0 ,0, 0, 0 ,0, 0, 0, 0, 0,0, 0, 0 ,0, 0, 0, 0, 0, 0 ,0 ,0, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)) list(intercept=-1,beta1=0.3,tau=10, b=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1))