Assumptions Underlying One-Way ANOVA with One Between-Subjects Factor

  • Level of measurement. The criterion variable should be assessed on an interval- or ratio-level of measurement. The predictor variable should be a nominal-level variable (a categorical variable) that includes two or more categories.

  • Independent observations. A given observation should not be dependent on any other observation in any group. (For a more detailed explanation of this assumption, see Chapter 8.)

  • Random sampling. Scores on the criterion variable should represent a random sample drawn from the populations of interest.

  • Normal distributions. The distribution of observed values for the criterion variable (all groups) should approximate normal distributions.

  • Homogeneity of ...

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