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In: Math

A researcher is studying the effects of inserting questions into instructional material for learning. There is...

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 10 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 27
20
15
21
26
24
36
39
41
29
29
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.    

Solutions

Expert Solution

By using SPSS we have

a) What is the appropriate test statistic
--two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H0.
Type: critical value = 4.351 ; test statistic = 0.712

since critical value greater than calculated value we therefore FAIL TO REJECT NULL HYPOTHESIS H0.
Decision: Fail to reject H0

Position: critical value = 4.351 ; test statistic = 14.929
Decision: ---Select--- Reject H0

Interaction: critical value = 4.351 ; test statistic = 8.333
Decision: ---Select--- Reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: η2 = 0.034 ; ---Select--- small effect
Position: η2 = 0.427 ; ---Select--- large effect
Interaction: η2 = 0.294 ; ---Select--- large effect


d) Make an interpretation based on the results.
.There is no question type difference in the test scores.
There is a question position difference in the test scores.
There is a question type by position interaction in the test scores


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