The null hypothesis in single factor ANOVA is that the means of the various samples are equal.

Each of the following four columns (stored in the waves f₁to f₄) represents instrument recording of some arbitrary property consisting of 6 samples.

H₀: there is no difference in the values recorded by the four instruments.

H_a: there is sufficient difference in the values recorded by the four instruments.

To run the test, execute the following command:

StatsAnova1Test/T=1/Q/W/BF  f1,f2,f3,f4

The results are displayed in three tables. Straight ANOVA results are in the table "ANOVA1 Results":

Here the critical value F_c>F so H₀ can't be rejected. Note also that P>alpha which is set by default to 0.05.

The second table titled "Welch Test" contains the following results:

Here F_p is the Welch test statistic associated with degrees of freedom N1 and N2, F_pc is the critical value and P_p is the P-value.

The third table "Brown and Forsythe Test" contains the following results:

Here again F_p is the test statistic associated with degrees of freedom N1 and N2, F_pc is the critical value and P_p is the P-value.