Analysis of Variance

Question 1

What is ANOVA used for?

Answer 1

Used to test for differences in means across three or more groups simultaneously

Question 2

What is the Null hypothesis of ANOVA?

Answer 2

Ho: means across all groups are equal

Question 3

What is the Alternative hypothesis of ANOVA?

Answer 3

H1: at least one of the means of a group will be different from the rest

Question 4

What is the name given to the value produced when a ratio of the variability between groups and the variability within groups is calculated?

Answer 4

The F-test statistic

Question 5

What is the equation for the variability between groups?

Answer 5

The standard error in the sample variance between groups divided by the number of groups (k) minus one

Question 6

What is the equation for the variability within groups?

Answer 6

The standard error in the sample variance within groups divided by the number of groups (k) minus one