STATISTICAL TECHNIQUES AND TOOLS
ANALYSIS OF VARIANCE
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
|
|
all 21 of the comparisons of means would be significant using the Scheffe test.
|
|
|
at least 7 of the comparisons of means would be significant using the Scheffe test.
|
|
|
at least 4 of the comparisons of means would be significant using the Scheffe test.
|
|
|
at least 1 of the comparisons of means would be significant using the Scheffe test.
|
Detailed explanation-1: -To decide if we should reject or fail to reject the null hypothesis, we must refer to the p-value in the output of the ANOVA table. If the p-value is less than some significance level (e.g. 0.05) then we can reject the null hypothesis and conclude that not all group means are equal.
Detailed explanation-2: -The null hypothesis of an ANOVA test is: H0: the population means of different groups of data are equal. So, if the null hypothesis is rejected it concludes that there are groups for which the population means are different. Correct option-all population means are different.
Detailed explanation-3: -The null hypothesis in ANOVA is always that there is no difference in means. The research or alternative hypothesis is always that the means are not all equal and is usually written in words rather than in mathematical symbols.