Kelsey is interested in how students learn different subjects through games or in traditional classroom formats. She thinks that the effect of learning through a game vs. a traditional format might differ based on subject. She designs a 2 x 2 factorial within-subjects experiment in which participants learn introductory algebra and introductory music, with one lesson of each being taught though a game, and one taught in a traditional classroom setting. SPSS output the following:   Game Class Math 6.92 4.83 Music 5.91 7.08   Source SS df MS F Sig Format 2.52 1 2.52 2.36 .152   Subject 4.69 1 4.69 1.81 .206 Format x Subject 31.69 1 31.69 25.70 .001 Error 13.56 11 1.23     Describe the results of this study (each main effect and interaction). State the statistics (just the #’s) as they would appear in a research report (each main effect and interaction).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 3E
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Kelsey is interested in how students learn different subjects through games or in traditional classroom formats. She thinks that the effect of learning through a game vs. a traditional format might differ based on subject. She designs a 2 x 2 factorial within-subjects experiment in which participants learn introductory algebra and introductory music, with one lesson of each being taught though a game, and one taught in a traditional classroom setting. SPSS output the following:

 

Game

Class

Math

6.92

4.83

Music

5.91

7.08

 

Source

SS

df

MS

F

Sig

Format

2.52

1

2.52

2.36

.152

  Subject

4.69

1

4.69

1.81

.206

Format x Subject

31.69

1

31.69

25.70

.001

Error

13.56

11

1.23

 

 

  1. Describe the results of this study (each main effect and interaction).
  2. State the statistics (just the #’s) as they would appear in a research report (each main effect and interaction).
Expert Solution
Step 1

From the provided information,

1)

The results can be described by looking at the p-values (denoted as Sig) for each effect.

The p-value for Format is 0.152 which is greater than 0.05, therefore, the main effect is not significant.

The p-value for subject is 0.206 which is also greater than 0.05, therefore, the main effect is not significant.

The p-value for Format × Subject is 0.001 which is smaller than 0.05, therefore, the interaction effect is significant.

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