ANCOVA - 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
ANCOVA | One way MANOVA | Binomial test for a single proportion |
You cannot compare more than 3 methods |
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Independent variables | Independent/grouping variable | Independent variable | |
One or more categorical with independent groups, and one or more quantitative control variables of interval or ratio level (covariates) | One categorical with $I$ independent groups ($I \geqslant 2$) | None | |
Dependent variable | Dependent variables | Dependent variable | |
One quantitative of interval or ratio level | Two or more quantitative of interval or ratio level | One categorical with 2 independent groups | |
THIS TABLE IS YET TO BE COMPLETED | THIS TABLE IS YET TO BE COMPLETED | Null hypothesis | |
- | - | H0: $\pi = \pi_0$
Here $\pi$ is the population proportion of 'successes', and $\pi_0$ is the population proportion of successes according to the null hypothesis. | |
n.a. | n.a. | Alternative hypothesis | |
- | - | H1 two sided: $\pi \neq \pi_0$ H1 right sided: $\pi > \pi_0$ H1 left sided: $\pi < \pi_0$ | |
n.a. | n.a. | Assumptions | |
- | - |
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n.a. | n.a. | Test statistic | |
- | - | $X$ = number of successes in the sample | |
n.a. | n.a. | Sampling distribution of $X$ if H0 were true | |
- | - | Binomial($n$, $P$) distribution.
Here $n = N$ (total sample size), and $P = \pi_0$ (population proportion according to the null hypothesis). | |
n.a. | n.a. | Significant? | |
- | - | Two sided:
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n.a. | n.a. | Example context | |
- | - | Is the proportion of smokers amongst office workers different from $\pi_0 = 0.2$? | |
n.a. | n.a. | SPSS | |
- | - | Analyze > Nonparametric Tests > Legacy Dialogs > Binomial...
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n.a. | n.a. | Jamovi | |
- | - | Frequencies > 2 Outcomes - Binomial test
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Practice questions | Practice questions | Practice questions | |