Question

In a one-way ANOVA test, we conclude there are differences across population mean if the :

a. between variation is small relative to the within variation

b. between variation and within variable variation are equal

c. between variation is large relative to the within variation

d. between variation equals zero

Answer 1

Answer is option C. ANOVA is a statistical technique to determine if there are any differences among several population means. In this, we compare two variances, one is the variance within each sample and the second is the variance between different samples. The assumption made for ANOVA is, the variance within sample(within variation) must be small comapred to variation between the samples(between variation). In other terms, this means, between variation is large compared to within variation.