Basic ANOVA Critical question

Question 1

In anova - we test the differences between

Answer 1

error variance

Question 2

Which error variance do we use?

Answer 2

One estimate comes from differences among scores within each group; this estimate is considered random or error variance

and

The second estimate comes from differences in group means (between groups) and is considered a reflection of group differences or treatment effects plus error.

Question 3

if these two d not differ…. then…

Answer 3

we accept the null

Question 4

Differences among variances are evaluated as ratios, where the variance associated with differences among sample means is in the numerator, and the variance associated with error is in the denominator. The ratio between these two variances forms

Answer 4

an F distribution.

Question 5

F distributions change shape depending on…

Answer 5

degrees of freedom in both numerator and denominator of the F ratio.

Question 6

how do you get a z score?

Answer 6

z = (x – μ) / σ