Three or more way MANOVA - overview
This page offers structured overviews of one or more selected methods. Add additional methods for comparisons (max. of 3) by clicking on the dropdown button in the right-hand column. To practice with a specific method click the button at the bottom row of the table
Three or more way MANOVA | Marginal Homogeneity test / Stuart-Maxwell test |
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Independent/grouping variables | Independent variable | |
Three or more categorical with independent groups | 2 paired groups | |
Dependent variables | Dependent variable | |
Two or more quantitative of interval or ratio level | One categorical with $J$ independent groups ($J \geqslant 2$) | |
THIS TABLE IS YET TO BE COMPLETED | Null hypothesis | |
- | H0: for each category $j$ of the dependent variable, $\pi_j$ for the first paired group = $\pi_j$ for the second paired group.
Here $\pi_j$ is the population proportion in category $j.$ | |
n.a. | Alternative hypothesis | |
- | H1: for some categories of the dependent variable, $\pi_j$ for the first paired group $\neq$ $\pi_j$ for the second paired group. | |
n.a. | Assumptions | |
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n.a. | Test statistic | |
- | Computing the test statistic is a bit complicated and involves matrix algebra. Unless you are following a technical course, you probably won't need to calculate it by hand. | |
n.a. | Sampling distribution of the test statistic if H0 were true | |
- | Approximately the chi-squared distribution with $J - 1$ degrees of freedom | |
n.a. | Significant? | |
- | If we denote the test statistic as $X^2$:
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n.a. | Example context | |
- | Subjects are asked to taste three different types of mayonnaise, and to indicate which of the three types of mayonnaise they like best. They then have to drink a glass of beer, and taste and rate the three types of mayonnaise again. Does drinking a beer change which type of mayonnaise people like best? | |
n.a. | SPSS | |
- | Analyze > Nonparametric Tests > Legacy Dialogs > 2 Related Samples...
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Practice questions | Practice questions | |