Extending the A Priori Procedure to One-way Analysis of Variance Model with Skew Normal Random Effects
Keywords:
Random effects, Skew normal, Sampling precision, Confidence level, Normal error
Abstract
The a priori procedure (APP) was designed as a pre-data procedure whereby researchers could find the sample sizes necessary to ensure that sample statistics to be obtained are within particular ranges of corresponding population parameters with known probabilities. Although the APP has been devised for a variety of experimental paradigms, these have all been simple. The present work extends a priori thinking to an important case not addressed previously, where the researcher is interested in one-way ANOVA models with skew normal random effects. Computer simulations support the equations presented, along with a real data example for illustration of our main results.
