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One-way ANOVA Inference for one-way ANOVA - page 25 / 41

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A contrast is a combination of population means of the form :

Where the coefficients ai have sum 0.

The corresponding sample contrast is :

The standard error of c is :

To test the null hypothesis H0: = 0 use the t-statistic:

With degrees of freedom DFE that is associated with sp. The alternative hypothesis can be one- or two-sided.

A level C confidence interval for the difference is :

Where t* is the critical value defining the middle C% of the t distribution with DFE degrees of freedom.

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