set.seed в WinBUGS через R

В приведенном ниже коде предполагается, что вы можете воспроизвести оценки в WinBUGS–R, установив начальное значение непосредственно перед каждым запуском модели WinBUGS.

Первым четырем запускам модели непосредственно предшествует один и тот же оператор set.seed. Последние две модели не работают. В соответствии с оператором all.equal первые четыре прогона модели возвращают идентичные оценки. Последние две модели не работают.

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library(R2WinBUGS)

n <- 15
x <- 1:15
y <- c(32.46, 38.38, 40.92, 22.27, 34.64, 33.53, 26.62, 25.26, 23.67, 20.54, 21.11, 17.00, 16.61, 19.32, 22.29)


print(summary(lm(y ~ x)))


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set.seed(1234)


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out1 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out1, dig = 4)


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####################################################################################


set.seed(1234)


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out2 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out2, dig = 4)


####################################################################################
####################################################################################


set.seed(1234)


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out3 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out3, dig = 4)


####################################################################################
####################################################################################


set.seed(1234)


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out4 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out4, dig = 4)


####################################################################################
####################################################################################


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out5 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out5, dig = 4)


####################################################################################
####################################################################################


sink("linreg.txt")
cat("
model {

# Priors
 alpha ~ dnorm(0,0.001)
 beta  ~ dnorm(0,0.001)
 sigma ~ dunif(0,  100)
 tau <- 1/ (sigma * sigma)

# Likelihood
 for (i in 1:n) {
    y[i] ~ dnorm(mu[i], tau) 
    mu[i] <- alpha + beta*x[i]
 }

}
",fill=TRUE)
sink()


win.data <- list("x","y", "n")

inits <- function(){list(alpha=rnorm(1), beta=rnorm(1), sigma = rlnorm(1))}

params <- c("alpha", "beta", "sigma")

nc =    2  
ni = 1000  
nb =  500
nt =    5

out6 <- bugs(data = win.data, inits = inits, parameters = params, 
            model = "linreg.txt", bugs.directory="c:/WinBUGS14/",
            n.thin = nt, n.chains = nc, n.burnin = nb, n.iter = ni)

print(out6, dig = 4)

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all.equal(out1, out2)
all.equal(out1, out3)
all.equal(out1, out4)
all.equal(out1, out5)
all.equal(out1, out6)