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Define, compile, & simulate the Normal-Normal

Upon observing the change in reaction time \(Y\)i for each of the 18 subjects \(i\) enrolled in the sleep study, you can update your posterior model of the effect of sleep deprivation on reaction time. This requires the combination of insight from the likelihood and prior models:

  • likelihood: \(Y\)i \(\sim N(m, s^2)\)
  • priors: \(m \sim N(50, 25^2)\) and \(s \sim Unif(0, 200)\)

In this series of exercises, you'll define, compile, and simulate your Bayesian posterior. The observed sleep_study data are in your work space.

Deze oefening maakt deel uit van de cursus

Bayesian Modeling with RJAGS

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Praktische interactieve oefening

Probeer deze oefening eens door deze voorbeeldcode in te vullen.

# DEFINE the model    
___ <- "model{
    # Likelihood model for Y[i]
    for(i in 1:___) {
        Y[i] ~ ___
    }

    # Prior models for m and s
    m ~ ___
    s ~ ___
}"
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