In this paper, we assume the error distribution of one-way ANOVA as alpha-skew normal distribution. Alpha-skew gives us exibility for modelling data which has heavy tailness, skewness, bimodality and also symmetricity. We obtain maximum likelihood estimator model parameters test statistics based on these estimators. Monte Carlo simulation study states that estimators interest are more efficient...

Inspired by the analysis of variance (ANOVA) decomposition functions, we propose a Gaussian-uniform mixture model on high-dimensional torus which relies assumption that function wish to approximate can be well explained limited variable interactions. We consider three approaches, namely wrapped Gaussians, diagonal and products von Mises distributions. The sparsity is ensured fact its summands a...