The Difference Between t-tests and ANOVAs
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T-tests are used to analyze data from independent variables with two levels, whereas ANOVAs analyze data from independent variables with three or more levels. T-tests include the single sample t-test, independent samples t-test, and paired-samples t-test. ANOVAs include the one-way ANOVA, ANCOVA, one-way repeated measures ANOVA, factorial ANOVA, and split-plot ANOVA.
The Difference Between t-tests and ANOVAs
- 1. The difference between t-tests and ANOVAs is that t-tests are used to analyze data from independent variables with just two levels Whereas ANOVAs are used to analyze data from independent variables with three or more levels For example – studying driving speed across two levels of athlete (football and basketball players). For example – studying driving speed across three levels of athlete (football, basketball, soccer players). NEXT Differentiating Parametric Tests that Capture Differences Between Groups
- 2. T-test Family • Single sample t-test – compares a single sample with its supposed population • Independent samples t-test – compares one sample with another sample • Paired-samples t-test – compares one sample on “time one” with itself on “time two” Differentiating Parametric Tests that Capture Differences Between Groups compared with compared with Time 1 Time 2 NEXT
- 3. ANOVA Family • One-way ANOVA – compares at least three samples with one another • ANCOVA – compares at least two samples with one another controlling for a covariate • One-way Repeated Measures ANOVA – compares one sample on “time one”, “time two” and “time three” with itself. • Factorial ANOVA – compares at least two samples on one independent variable and those same samples on another independent variable. • Split-Plot ANOVA - compares at least two samples with one another on one independent variable and compares them as well across time. Differentiating Parametric Tests that Capture Differences Between Groups controlling for Time 1 Time 2 Time 3 Ice cream preference across both broken into three levels Ice cream preference across both