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# F-Test: Two-Sample for Variances Tool

Figure 28. F-Test Tool Dialog

Use the F-Test tool to test whether two population variances are different against the null hypothesis that they are not.

Specify the variables in the "`Variable 1 Range:`" and "`Variable 2 Range:`" entries. The "`Alpha:`" entry contains the significance level which is by default 5%.

If the first field of each range contains labels, select the "Labels" option. The names of the variables will be included in the output table.

The results are given in a table. This table contains the mean, variance, count of observations and the degree of freedom for both variables. The output table also includes the F-value, the one-tailed probability for the F-value, and the F Critical value for one-tailed test and the corresponding values for a two tailed test. The one-tailed probability for the F-value ("`P(F<=f) one-tail`" row) is the probability of making a Type I error in the one-tailed test. Similarly, the two-tailed probability for the F-value ("`P two-tail`" row) is the probability of making a Type I error in the two-tailed test. Since in the two-tailed F-Test both critical values are positive, the "`F Critical two-tail`" row contains two numbers.

If the output is directed into a specific output range, that range should contain at least three columns and eight rows.

Figure 29. Some Example Data

Example 8. Using the F-Test Tool

Figure 29 shows some example data and Figure 30 the corresponding output.

Figure 30. F-Test Tool Output

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