One Way ANOVA

Question 1

Concept ANOVA (one way)

Answer 1

See how much of the variability in the OV can be explained by the PV
Comparing the variability between groups against the variability within groups

Question 2

Hypotheses

Answer 2

H0: miu 1 = miu 2 = … = miu i
H1: at least one miu differs

Question 3

Requirements

Answer 3

1) one quantitative OV and one categorical PV with 2 or more categories
2) independent mutually exclusive samples
3) homogeneity of variances
4) normality

Question 4

Which test to use

Answer 4

F test

Question 5

Follow up tests

Answer 5

Planned contrasts
Post hoc test

Question 6

F

Answer 6

Testing the overall fit of a model to a set of observed data

Question 7

P value

Answer 7

The probability of obtaining a test statistic equal to what was observed if the null hypothesis was true

Question 8

R squared

Answer 8

The proportion of variance
Explained variance by the model to unexplained variance

Question 9

Reporting F test

Answer 9

Include df of model and df of residual and p-value

Question 10

Reporting R squared

Answer 10

“The model explains x% of the variance in the OV)