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 | Sign 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 of ordinal level | |
THIS TABLE IS YET TO BE COMPLETED | Null hypothesis | |
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n.a. | Alternative hypothesis | |
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n.a. | Assumptions | |
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n.a. | Test statistic | |
- | $W = $ number of difference scores that is larger than 0 | |
n.a. | Sampling distribution of $W$ if H0 were true | |
- | The exact distribution of $W$ under the null hypothesis is the Binomial($n$, $P$) distribution, with $n =$ number of positive differences $+$ number of negative differences, and $P = 0.5$.
If $n$ is large, $W$ is approximately normally distributed under the null hypothesis, with mean $nP = n \times 0.5$ and standard deviation $\sqrt{nP(1-P)} = \sqrt{n \times 0.5(1 - 0.5)}$. Hence, if $n$ is large, the standardized test statistic $$z = \frac{W - n \times 0.5}{\sqrt{n \times 0.5(1 - 0.5)}}$$ follows approximately the standard normal distribution if the null hypothesis were true. | |
n.a. | Significant? | |
- | If $n$ is small, the table for the binomial distribution should be used: Two sided:
If $n$ is large, the table for standard normal probabilities can be used: Two sided:
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n.a. | Equivalent to | |
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Two sided sign test is equivalent to
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n.a. | Example context | |
- | Do people tend to score higher on mental health after a mindfulness course? | |
n.a. | SPSS | |
- | Analyze > Nonparametric Tests > Legacy Dialogs > 2 Related Samples...
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n.a. | Jamovi | |
- | Jamovi does not have a specific option for the sign test. However, you can do the Friedman test instead. The $p$ value resulting from this Friedman test is equivalent to the two sided $p$ value that would have resulted from the sign test. Go to:
ANOVA > Repeated Measures ANOVA - Friedman
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Practice questions | Practice questions | |