Question

A researcher wishes to determine whether ethnicity and marital status are factors in the performance of university students during their senior year. The dependent variable is grade-point average (GPA) on a 4.0 scale.

Ethnic Group Marital Statu GPA 3.3 3.5 3.7 2.6 2.8 2.8 2.8 3.1 3.4 3.3 3.4 3.4 3.5 3.7 2.8 3.4 3.7 3.7 3.8 2.4 2.4 2.6 2.7 2.8

1. Describe the kind of a factorial ANOVAthis is (2x2, etc).
2. How many Fvalues will be calculated in the course of completing this problem?
3. Are there significant differences related to ethnicity?
4. Are there significant differences related to martial status?
5. Is the interaction of marital status and ethnicity significant?

Answer 1

(a) This is a 3 x 2 factorial design

(b) Three F values will be calculated

Two factor ANOVA Marital Status Means 3.28 2.66 2.97 3.04 3.46 3.25 3.482.58 3.03 3.27 2.90 3.08 Ethnic Group 3 5 replications per cell ANOVA table p-value 0804 0014 Source Ethnic Group 0.435 Marital Status 1.008 Interaction 2.419 Error Total df MS 2 0.2173 2.80 1 1.0083 13.01 2 1.2093 15.60 4.55E-05 1.860 5.722 24 0.0775 29

Assume α = 0.05

(c) There are no significant differences related to ethnicity because the p- value > α

(d) There are significant differences related to marital status because the p- value < α

(e) Interaction of marital status and ethnicity is significant since the p- value < α

[Please give me a Thumbs Up if you are satisfied with my answer. If you are not, please comment on it, so I can edit the answer. Thanks.]