Types of statistical tests: There are a wide range of statistical tests. The decision of which statistical test to use depends on the research design, the distribution of the data, and the type of variable. In general, if the data is normally distributed you will choose from parametric tests. If the data is non-normal you choose from the set of non-parametric tests. Below is a table listing just a few common statistical tests and their use
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Type of Test: |
Use: |
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Correlational |
These tests look for an association between variables |
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Pearson correlation |
Tests for the strength of the association between two continuous variables |
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Spearman correlation |
Tests for the strength of the association between two ordinal variables (does not rely on the assumption of normal distributed data) |
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Chi-square |
Tests for the strength of the association between two categorical variables |
| Comparison of Means: look for the difference between the means of variables | |
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Paired T-test |
Tests for difference between two related variables |
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Independent T-test |
Tests for difference between two independent variables |
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ANOVA |
Tests the difference between group means after any other variance in the outcome variable is accounted for |
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Regression: assess if change in one variable predicts change in another variable |
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Simple regression |
Tests how change in the predictor variable predicts the level of change in the outcome variable |
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Multiple regression |
Tests how change in the combination of two or more predictor variables predict the level of change in the outcome variable |
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Non-parametric: are used when the data does not meet assumptions required for parametric tests |
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Wilcoxon rank-sum test |
Tests for difference between two independent variables - takes into account magnitude and direction of difference |
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Wilcoxon sign-rank test |
Tests for difference between two related variables - takes into account magnitude and direction of difference |
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Sign test |
Tests if two related variables are different – ignores magnitude of change, only takes into account direction |