Performing Two-Way Analysis of Variance Under Variance Heterogeneity

Guide for the interpretation of two-way analysis of variance.

In summary, one-way ANOVA for independent groups is used to test whether the group means for a specific dependent variable differ significantly after exposing each group to a unique level of a single factor or independent variable. You may recognize the preceding sentence. We hope it makes more sense to you now than when you first read it at the beginning of this article.

Genotype by Environment variance heterogeneity in a two-stage analysis

The analysis of a series of crop variety trials often proceeds using a mixed model in which the data are the combined means from individual trials. The residual variation for this model consists of genotype by environment (G.E) interactions and within trial error variation. The latter is regarded as known from the analyses of individual trials, and any associated heterogeneity can be accounted ...

The One-way Analysis of Variance

Inferences on the Generalized Variance under Normality

Generalized variance is applied for determination of dispersion in a multivariate population and is a successful measure for concentration of multivariate data. In this article, we consider constructing confidence interval and testing the hypotheses about generalized variance in a multivariate normal distribution and give a computational approach. Simulation studies are performed to compare thi...

Income variance dynamics and heterogeneity

Recent theoretical work has shown the importance of measuring microeconomic uncertainty for models of both general and partial equilibrium under imperfect insurance. In this paper the assumption of i.i.d. income innovations used in previous empirical studies is removed and the focus of the analysis placed on models for the conditional variance of income shocks, which is related to the measure o...