In: Statistics and Probability
A researcher is studying the effects of inserting questions into
instructional material for learning. There is doubt whether these
questions would be more effective before or after the corresponding
passage. In addition, the researcher wants to know the impact of
factual and thought provoking questions. Students are randomly
assigned to one of each of the four combination: position of
question (before vs. after the passage) and type of question
(factual vs. thought provoking). After 15 hours of studying under
these conditions, the students are given a test on the content of
the instructional materials. The test scores are below. What can be
concluded with an α of 0.05?
Position
Type | before | after |
---|---|---|
factual | 21 31 32 25 28 19 |
29 24 33 26 25 30 |
thought | 20 20 15 21 26 24 |
36 39 41 29 31 35 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Type: critical value = ; test statistic
=
Decision: ---Select--- Reject H0 Fail to reject H0
Position: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Type: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Position: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is a question type difference in the test scores.There is no question type difference in the test scores.
There is a question position difference in the test scores.There is no question position difference in the test scores.
There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.