Question

Suppose you conduct an ANOVA test and determine an F statistic of 2.14 with a p-value of 0.21. You should ____________.

	a.	conduct a Tukey-Kramer procedure to further evaluate differences between the means being tested
	b.	conclude that none of the means being tested are equal to one another
	c.	conclude that there is not evidence of differences between the population means being tested
	d.	conclude that there is at least one difference between the means being tested

Answer 1

the correct answer is c : conclude that there is not evidence of differences between the population means being tested

For the checking of overall regression in ANOVA

Null Hypothesis : All the means are equal

Alternate Hypothesis : At least one of the mean is different from another

F statistics value = 2.14

p value = 0.21

Alpha ( 0.05 ) assuming 5% level of significance

Test criteria : reject null hypothesis if p is less than alpha

here, p ( 0.21 ) > alpha ( 0.05 )

therefore, we failed to reject the null hypothesis or null hypothesis is accepted.

Hence, All the means are equal.

The correct answer is : conclude that there is not evidence of differences between the population means being tested