Alicia decides to conduct a study with 3-levels of Aptitude (IQ) groups ( Low Avg. 85, Avg. 90-110, Superior 125) with 3-levels of treatment:…

Alicia decides to conduct a study with 3-levels of Aptitude (IQ) groups ( Low Avg. <85, Avg. 90-110, Superior >125) with 3-levels of treatment:

1.    Advanced Primary Reading Program

2.    Open Court Reading Curriculum

3.    DISTAR

This is called a 2 Way 3×3 ANOVA design

Hypothesis:

The statistically significant results are: (p value, ETA2)

-Aptitude 0.0001,77%

-Treatment 0.045,5%

-Apt x Trt 0.17,13%

The interaction effect we discussed in class happened when aptitude 2 and aptitude 1 overlapped on the graph. It shows that the students with the highest aptitude do the best given a post hoc significant t-test with middle and low aptitude groups. Also, it shows that the low aptitude group appears to benefit from the first treatment best.

What are the null and alternative hypotheses?