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.
For this tool, the given input range should contain at least two columns of numeric data and the labels of the columns and the labels of the groups. The labels of the columns are given as the usual way; if you give an input range A1:D10, for example, the labels of the columns should be placed in B1, C1, and D1. The labels of the groups should be placed into the first column, each one of them at the first row of the group. For example, if we have three groups in our A1:D10 range (rows per sample is set to three), the group names should be placed at A2, A5, and A8.