How is the row between-groups variance calculated in a 2 x 2 design?

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Prepare for UCF's PSY3204C Statistical Methods in Psychology Quiz 3. Use interactive tools and engaging quizzes to solidify your understanding of statistics in psychology, and enhance your chances of success.

The calculation of the row between-groups variance in a 2 x 2 design focuses on assessing the differences between the means of different groups, specifically the rows in this case. The correct method involves determining how much the mean of one row differs from the overall mean when comparing it to the mean of the other row.

In a 2 x 2 design, there are four groups formed by the combination of two independent variables. Calculating the row between-groups variance therefore hinges on comparing the means of these rows. By focusing on the difference between the means of the top and bottom rows, you can quantify the variation attributable to the row factor. This highlights the extent to which the rows or groups in your independent variable influence the dependent variable being measured.

This approach provides an essential foundation for further analysis, such as performing ANOVA, as it quantifies how much variance in the data can be explained by the differences in row means, enabling better understanding of any potential effects that the independent variable may have.