# Advanced ANOVA/Assumptions

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This page outlines the assumptions for various **ANOVA** models, including *t*-tests.

## All modelsEdit

- Dependent variables must be:
- Measured at interval or ratio level of measurement.
- Normally distributed in all groups (of the independent variables).
- ANOVA is quite robust to violations of this assumption if sample sizes are large and approximately equal (> 15 cases per group)

*t*-tests, one-way ANOVA and factorial ANOVAEdit

In addition, for between-group designs, it is assumed that:

- The data in each cell is
**normally distributed**.- e.g., for a 2 by 2 factorial ANOVA with age and gender as the IVs, check the distributions of the DV for, say, younger females, older females, younger males, and older males.

- The data in each cell has
**homogenous variance**: **Cells are independent**- Cases represent random samples from the target populations and the scores of the test variable should be independent of each other (i.e., the scores in one cell are not dependent on the scores in another cell).- Inaccurate
*p-*values are produced if the independence assumption is violated.

- Inaccurate