ANOVA: Two-Factor Tool
Gnumeric can perform two factor fixed effects ANOVAs with and without replication. The same dialog is used and the appropriate tool is selected depending on whether the number of rows per sample is 1 or larger than 1.
8.2.2.1. ANOVA: Two-Factor Without Replication Tool
If the number of rows per sample is given as 1, Gnumeric performs a two factor fixed effects ANOVA without replication. Each column of the input range is interpreted as a level of the first factor while each row is interpreted as a level of the second factor.
The first row and column of the range may contain labels for these levels. In this case the “” option should be selected.
The “Alpha:” entry specifies the significance level which is by default 5%.
See Figure 8-6 for an example of a completed dialog and Figure 8-7 for the corresponding output.
8.2.2.2. ANOVA: Two-Factor With Replication Tool
If the number of rows per sample is larger than 1, Gnumeric performs a two factor fixed effects ANOVA with replication. Each column of the input range is interpreted as a level of the first factor while groups of rows (the number of rows in each group given by the “number of rows per sample” value) are interpreted as levels of the second factor.
The first row and column of the range may contain labels for these levels. In this case the “” option should be selected.
The “Alpha:” entry specifies the significance level which is by default 5%.
See Figure 8-8 for an example of a completed dialog and Figure 8-9 for the corresponding output.
Gnumeric will estimate missing values for each level combination as the mean of the existing values in that combination. The degrees of freedom are adjusted appropriately.