Details and Options

• To use ANOVA, you first need to load the Analysis of Variance Package using Needs["ANOVA`"].
• The data can have the form {{x₁,y₁,…,f₁},{x₂,y₂,…,f₂},…}, where the number of coordinates x,y,… is equal to the number of variables in the list vars.
• For data of the form {{x₁,f₁},{x₂,f₂},…}, a one‐way analysis of variance can be obtained without explicitly specifying the model and variable.
• The model argument can be a list containing main effects and interactions. Main effects are elements of vars, and interactions are products of main effects.
• A full factorial model including all interactions between variables x,y,… can be specified as {x,y,…,All}.
• The following options can be given:
• CellMeans Truewhether cell means should be included in the output WorkingPrecision MachinePrecisionthe precision used in internal computations PostTests {}significance tests to perform SignificanceLevel 0.05significance level for performed tests
• Possible settings for PostTests include: Bonferroni, Duncan, Dunnett, StudentNewmanKeuls, and Tukey.

Examples

Basic Examples  (2)

A one‐way analysis of variance:

A two‐way analysis of variance:

Options  (4)

CellMeans  (1)

Omit cell means from output:

WorkingPrecision  (1)

Computation at precision 20:

PostTests  (1)

Analysis of variance with Bonferroni test:

SignificanceLevel  (1)

Bonferroni test at significance level .01: