Analysis of variance (ANOVA)

Question 1

How to calculate the probability of not observing a type 1 error in multiple tests?

Answer 1

(1 − α)n

*n = number of tests

Question 2

How to calculate the probability of observing a type 1 error in multiple tests?

Answer 2

1 − (1 − α)n

(for example is alpha is set ay 0.05 then the probability of a type 1 error = (1 − 0.95)n

Question 3

What is the point of analysis of variance?

Answer 3

It is a statistical test of whether two or more populations means are equal

ANOVA is a single test that compares multiple means

Question 4

Assumptions of analysis of variance

Answer 4

Independent variable should be categorical

Dependent variable: continuous, no significant outliers, approximately normally distrubuted