Use this tool to make a single factor analysis of the variances of given variables. The variables are specified by the ``Input Range:'' entry. The given range can be groupped either by columns or by rows. ``Alpha:'' entry specifies the level of significance which is by default 95%.
If you have labels, for example the names of the variables, in the first row of the given range, you should check the ``Labels'' button on. This leaves the first row (or the first column if the data is groupped by rows) of the input range out of the analysis. In addition, the names of the variables are pasted nicely into the output table.
The tool calculates the source of variation between groups, within groups, and the total source of variation. The values of these are given in the ''SS'' column. The degrees of freedom of are given in the ''df'' column. In ''MS'' column the sources of variation are divided by the degrees of freedom. The results of these divisions are used in calculating the F value in the ''F'' column. The F value is the division of MS in ''Between columns'' and ''MS'' in ''Within columns''. You can compare this value with the ''F critical'' value in the last column. The F critical value is the largest value of F that is statistically significant using the given significance level (''Alpha''). Bellow the ''P-value'' is the result of the F-test.
In addition, the tool calculates the count, sum, average, and the variance of all the variables.
Gnumeric can perform two factor fixed effects ANOVAs with and without replication. In both cases the same dialog is used and the appropriate tool selected depending on whether the number of rows per sample is 1 or larger than 1.
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.
![]() | Currently, the input range may not contain any labels. |
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') are interpreted as a level of the second factor.
![]() | Currently, the first row and column must contain appropriate labels. Specifically, there should be a label for each column (except the first) in the first row; and a label for each group of rows in the first cell of the first row of each such group. |