F is the test statistic and H0 is the means are equal. A small test statistic such as 1 would mean you would fail to reject the null hypothesis that the means are equal.
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No, F can never be smaller than 1; it can equal 1.
The F-test is designed to test if two population variances are equal. It compares the ratio of two variances. If the variances are equal, the ratio of the variances will be 1.The F-test provides the basis for ANOVA which can compare two or more groups.One-way (or one-factor) ANOVA: Tests the hypothesis that means from two or more samples are equal.Two-way (or two-factor) ANOVA: Simultaneously tests the hypothesis that the means of two variables from two or more groups are equal.
In a two-way ANOVA on the surface, the relate in an equation the total variation, , where i=1,2,…,a and j=1,2,…,b; the explained variation by the "treatment" or first factor is , the explained variation by the "block" or second factor is and the unexplained variation . SST= SSA+SSB +SSE Degrees of freedom N-1 a-1 b-1 (a-1)(b-1) N=ab
It could mean: 1/3+1/3 = 2/3
If you mean strictly between , so that 1 and 10000 are both excluded, the answer is 38,888