Question

In a 2-way between groups ANOVA, which of the following is a source of within groups...

  1. In a 2-way between groups ANOVA, which of the following is a source of within groups variance?

    Differences between the marginal means and the grand mean.

    Differences among the marginal means.

    Differences between individual participant scores and their respective cell means.

    Differences among the cell means.
Math   Statistics-And-Probability   
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Answer #1

In the two-way analysis of variance, the between group variance referred as the differences between the marginal means (that is, mean score generated from the each group) and the grand mean (mean of total observations in the experiment). In contrast, the within group variation referred as the deviation within the factors (groups) that can be generated due to the differences between the individual participant scores and their respective cell means.

Therefore, the correct statement is differences between the individual participant scores and their respective cell means.

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