This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 Statistics`ANOVA` This package provides functions for performing a univariate Analysis of Variance (ANOVA) to examine the differences between groups of means. The function ANOVA can handle models with any number of fixed factors in a crossed design. It can also handle both balanced and unbalanced data with or without missing elements. All results are given as type I sums of squares. ANOVA also provides a number of post-hoc tests and comparisons. The ANOVA function. The data must be of the form , , , , , , where , , and so on are the values of the factors associated with the response, . The factors argument of ANOVA must be a list of names representing the factors of the model, one name for each factor. The model argument of ANOVA must be a list of main effects and interaction effects that together specify the model. The interaction terms are given as the multiplication of factors. For example, the full factorial model for a three-way ANOVA can be written as , , , , , , , where , , are the main effects, , , are the two-way interactions, and is the three-way interaction. For simplicity, models can also be written using All to represent all interaction terms between the specified main effects. The full factorial model for a three-way ANOVA can therefore also be written as , , , All. This loads the package. In[1]:= <