wThe null hypothesis that all treatment means are equal is given by ðH0 : j ¼ 0; j ¼ 1, 2, . . . , aÞ or,equivalently, by ðH0 : j ¼ ; j ¼ 1, 2, . . . , aÞ. If H0 is true, the treatment populations will all have thesame normal distribution (i.e., with the same mean and variance). In such cases there is just one treatmentpopulation (i.e., all treatments are statistically identical); in other words, there is no significantdifference between the treatments.
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