Question

One-way Analysis of Variance uses a F test to compare the variance between the treatment level means to the error variance (the pooled variance within levels). For this test, one assumption is that the observations are random samples drawn from normally distributed populations with unequal variances.TrueFalse

Answer 1

Answer:

False

Step-by-step explanation:

The assumption of ANOVA are:

1)  the k- samples are selected randomly and independently from the respective populations

2) All the k population from which samples are drawn are normally distributed with means u1,u2, u3,........

3) the observations are random samples drawn from normally distributed populations with equal variances. The technical term for this assumption is Homoscedasticity.

Failure of any assumption will impair the technique. However, minor deviations can be tolerated. Sometimes square roots and logs are used to make assumptions true.