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One-way ANOVA Inference for one-way ANOVA - page 26 / 41

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Contrasts are not always readily available in statistical software packages (when they are, you need to assign the coefficients “ai”), or may be limited to comparing each sample to a control.

If your software doesn’t provide an option for contrasts, you can test your contrast hypothesis with a regular t-test using the formulas we just highlighted. Remember to use the pooled variance and degrees of freedom as they reflect your better estimate of the population variance. Then you can look up your p-value in a table of t-distribution.

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