## Bayesian Statistical Inference for Coefficient Alpha, Issue 2 |

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Appendix approximate Bayesian method basic model parameters Bayes theorem Bayesian analysis Bayesian procedures Bayesian Statistical Inference Classical likelihood classical sampling distribution coefficient alpha common inter-item computer program WinBUGS constitute sufficient statistics covariance matrix derived distribution of alpha easy to compute effects ANOVA model equation 17 examinees by items Figure FOR(j IN l-.noi frequentist method given in equation hypothetical prior sample improper non-informative prior Inference about Coefficient Inference for Coefficient inferential procedures inverse gamma distribution items ANOVA likelihood given marginal likelihood method uses MCMC methodology as implemented mixed ANOVA model MSa and MSe Neudecker Nine Pseudo-Randomly non-informative prior distribution normal distribution theory Normal(0 nuisance parameters number of items observation per cell paper by Feldt prior mean prior mode random effects ANOVA reliability sample alpha coefficient sigma2.a single alpha coefficient specifying statistical independent three variance components two-way examinees two-way random effects VanZyl versus Bayesian posterior WinBUGS code WinBUGS computer program