: [pval, f, df_num, df_den] = var_test (x, y, alt)

For two samples x and y from normal distributions with unknown means and unknown variances, perform an F-test of the null hypothesis of equal variances.

Under the null, the test statistic f follows an F-distribution with df_num and df_den degrees of freedom.

With the optional argument string alt, the alternative of interest can be selected. If alt is "!=" or "<>", the null is tested against the two-sided alternative var (x) != var (y). If alt is ">", the one-sided alternative var (x) > var (y) is used. Similarly for "<", the one-sided alternative var (x) > var (y) is used. The default is the two-sided case.

The p-value of the test is returned in pval.

If no output argument is given, the p-value of the test is displayed.

Package: statistics