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2. Analysis of variance - Wikipedia

   en.wikipedia.org/wiki/Analysis_of_variance

   Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences between groups. It uses F-test by comparing variance between groups and taking noise , or assumed normal distribution of group, into consideration by ...

3. Two-way analysis of variance - Wikipedia

   en.wikipedia.org/wiki/Two-way_analysis_of_variance

   In statistics, the two-way analysis of variance (ANOVA) is an extension of the one-way ANOVA that examines the influence of two different categorical independent variables on one continuous dependent variable. The two-way ANOVA not only aims at assessing the main effect of each independent variable but also if there is any interaction between them.

4. One-way analysis of variance - Wikipedia

   en.wikipedia.org/wiki/One-way_analysis_of_variance

   In statistics, one-way analysis of variance (or one-way ANOVA) is a technique to compare whether two or more samples' means are significantly different (using the F distribution). This analysis of variance technique requires a numeric response variable "Y" and a single explanatory variable "X", hence "one-way".

5. F-test - Wikipedia

   en.wikipedia.org/wiki/F-test

   The formula for the one-way ANOVA F-test statistic is =, or =. The "explained variance", or "between-group variability" is = (¯ ¯) / where ¯ denotes the sample mean in the i-th group, is the number of observations in the i-th group, ¯ denotes the overall mean of the data, and denotes the number of groups.

6. Multivariate analysis of variance - Wikipedia

   en.wikipedia.org/wiki/Multivariate_analysis_of...

   The image above depicts a visual comparison between multivariate analysis of variance (MANOVA) and univariate analysis of variance (ANOVA). In MANOVA, researchers are examining the group differences of a singular independent variable across multiple outcome variables, whereas in an ANOVA, researchers are examining the group differences of sometimes multiple independent variables on a singular ...

7. Mixed-design analysis of variance - Wikipedia

   en.wikipedia.org/wiki/Mixed-design_analysis_of...

   In statistics, a mixed-design analysis of variance model, also known as a split-plot ANOVA, is used to test for differences between two or more independent groups whilst subjecting participants to repeated measures.

8. Mauchly's sphericity test - Wikipedia

   en.wikipedia.org/wiki/Mauchly's_sphericity_test

   Developed in 1940 by John W. Mauchly, [3] Mauchly's test of sphericity is a popular test to evaluate whether the sphericity assumption has been violated. The null hypothesis of sphericity and alternative hypothesis of non-sphericity in the above example can be mathematically written in terms of difference scores.

9. ANOVA on ranks - Wikipedia

   en.wikipedia.org/wiki/ANOVA_on_ranks

   In statistics, one purpose for the analysis of variance (ANOVA) is to analyze differences in means between groups. The test statistic, F, assumes independence of observations, homogeneous variances, and population normality. ANOVA on ranks is a statistic designed for situations when the normality assumption has been violated.