I am doing a Bayesian ANOVA as follows:

BIC0 = -2 * logLik0 + k0 * log(N)  # null hypothesis BIC
BIC1 = -2 * logLik1 + k1 * log(N)  # alternate hypothesis BIC

This is robust ANOVA, so model I use a non-central t-distribution as the likelihood function for different levels of the categorical variable. see: Estimating parameters of Student's t-distribution

What should be the value of k in BIC0 or BIC1?

For the alternate hypothesis, suppose x has three levels A, B, C. I am estimating mu,sigma and also latent variable w (one for each data point) for every level of x. So should k = (2 + N) * 3 ?


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