If Leveneās test p-value is
Homoscedasticity refers to a uniform spread of residuals across independent variable values. Homoscedasticity and heteroscedasticity assumptions apply to linear regression, t-tests, and ANOVA. Leveneās test checks the homogeneity of variance in t-tests and ANOVA. The Breusch-Pagan, White, or Goldfeld-Quandt tests are used in regression for
Definition. A test of homogeneity compares the proportions of responses from two or more populations with regards to a dichotomous variable (e. g., male/female, yes/no) or variable with more than two outcome categories . The chi-square test of homogeneity is the nonparametric test used in a situation where the dependent variable is categorical.
The Cochran test was successfully adapted for use with samples of unequal size by utilizing the harmonic mean of the sample sizes for obtaining tabled critical values. OF THE MATHEMATICAL assumptious under lying the analysis of variance, the most troublesome for the behavioral scientist is most likely to be that of homogeneity of variance.
For an ANOVA to be valid, it is assumed that the residual variance is homogeneous (i.e., constant) across all experimental units. For example, the variability of the residuals should be the same for both high and low values of the response variable. Homogeneity of variance can be easily assessed by plotting the residuals against the fitted values.
Independence: Each of the observations should be independent. 2. Normality: The distribution of the response variable is normally distributed. 3. Sphericity: The variances of the differences between all combinations of related groups must be equal. If one or more of these assumptions are violated, then the results of the repeated measures ANOVA
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how to test homogeneity of variance
