Application Exercise: A researcher is studying the effects of inserting question

Question

Application Exercise:
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 ? of 0.05?

                     Position

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: ?2 = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Position: ?2 = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Interaction: ?2 =   ;  ---Select--- na, trivial effect, small effect, medium effect, large effect


d) Make an interpretation based on the results. (pick one)

-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.

Type before after factual 21
31
32
25
28
19 29
23
33
26
25
30 thought 27
20
15
21
26
24 36
39
41
29
31
35

Explanation / Answer

Result:

SPSS used

Descriptive Statistics

Group

Mean

Std. Deviation

N

before

factual

26.0000

5.29150

6

thought

22.1667

4.44597

6

Total

24.0833

5.07146

12

after

factual

27.6667

3.66970

6

thought

35.1667

4.57894

6

Total

31.4167

5.56708

12

What is the appropriate test statistic?
within-subjects ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H0.
Type: critical value =  4.96 ; test statistic = 1.524
Decision:   Fail to reject H0

Tests of Between-Subjects Effects

Measure:   MEASURE_1

Transformed Variable:   Average

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Intercept

18481.500

1

18481.500

1396.587

.000

.993

Group

20.167

1

20.167

1.524

.245

.132

Error

132.333

10

13.233

Position: critical value =4.96  ; test statistic = 11.579
Decision:   Reject H0

Tests of Within-Subjects Effects

Measure:   MEASURE_1

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

factor1

Sphericity Assumed

322.667

1

322.667

11.579

.007

.537

Greenhouse-Geisser

322.667

1.000

322.667

11.579

.007

.537

Huynh-Feldt

322.667

1.000

322.667

11.579

.007

.537

Lower-bound

322.667

1.000

322.667

11.579

.007

.537

factor1 * Group

Sphericity Assumed

192.667

1

192.667

6.914

.025

.409

Greenhouse-Geisser

192.667

1.000

192.667

6.914

.025

.409

Huynh-Feldt

192.667

1.000

192.667

6.914

.025

.409

Lower-bound

192.667

1.000

192.667

6.914

.025

.409

Error(factor1)

Sphericity Assumed

278.667

10

27.867

Greenhouse-Geisser

278.667

10.000

27.867

Huynh-Feldt

278.667

10.000

27.867

Lower-bound

278.667

10.000

27.867

Interaction: critical value =4.96  ; test statistic =  6.914
Decision:   Reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: ?2 = 0.132;   small effect,

Position: ?2 = 0.537;   medium effect,

Interaction: ?2 = 0.409  ;   small effect

d) Make an interpretation based on the results. (pick one)

-There is no question type difference in the test scores.   

Correct option: -There is a question position difference in the test scores.

-There is a question type by position interaction in the test scores.

( all the above three options are appropriate)

Descriptive Statistics

Group

Mean

Std. Deviation

N

before

factual

26.0000

5.29150

6

thought

22.1667

4.44597

6

Total

24.0833

5.07146

12

after

factual

27.6667

3.66970

6

thought

35.1667

4.57894

6

Total

31.4167

5.56708

12

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.