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ANOVA

ANOVA[data]
performs a one-way analysis of variance.
ANOVA[data, model, vars]
performs an analysis of variance for model as a function of the categorical variables vars.
  • The data can have the form {{x_1,y_1,... ,f_1},{x_2,y_2,... ,f_2},...}, 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:
CellMeansTruewhether cell means should be included in the output
WorkingPrecisionMachinePrecisionthe precision used in internal computations
PostTests{}significance tests to perform
SignificanceLevel0.05significance level for performed tests
EXAMPLESCLOSE ALL
Basic Examples   (2)
A one-way analysis of variance:
A two-way analysis of variance:
Needs["ANOVA`"]
A one-way analysis of variance:
In[2]:=
Click for copyable input
Out[2]=
 
Needs["ANOVA`"]
A two-way analysis of variance:
In[2]:=
Click for copyable input
Out[2]=
Options   (4)
Omit cell means from output:
Computation at precision 20:
Analysis of variance with Bonferroni test:
Bonferroni test at significance level .01:
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