Objectives #4

Question 1

Be able to write the one-­‐factor ANOVA model and describe each of its terms:

Answer 1

Yij = μ + αj + εij
Where • Yij is DV score for individual i falling in the jth group
• μ is overall population mean
• αj is the effect of treatment j (effect of falling in jth group)
• εij is the error associated with individual i in the jth group

Question 2

ANOVA:

Analysis of variance 3 Purposes

Answer 2

• A method of partitioning the total variability in an experiment into various sources
• Method of describing magnitude of variation explained by different sources of variation
• Method of testing the null hypothesis H0: μ1 = μ2 = … = μJ (where J is the number of groups)