STATISTICS II (İSTATİSTİK II) - (İNGİLİZCE) Dersi Hypothesis Testing for Two Samples and Analysis of Variance soru detayı:
SORU:
When comparing more than two means, explain the rejection of null hypothesis.
CEVAP:
The F (one-way ANOVA) test to compare more than two population means is always a right tailed test. Therefore, H0 will be rejected if the test statistic F is greater than the critical value. From the F test statistic, it’s clear that the value of the test statistic is close to the 1 if MSB close MSW , means that there is little or no difference between the means. Then, the F test statistic value nearby to 1 suggests that we fail to reject the null hypothesis (H0).
If F test statistic value is greater than 1 we suggest that the null hypothesis should be rejected. This situation occurs when one population mean is significantly different than the other population's means, and this state is revealed if MSB is greater than MSW .