Researchers have sought to examine the effect of various types of music on agitation levels in patients who are in the early and middle stages of Alzheimer's disease. Patients were selected to participate in the study based on their stage of Alzheimer's disease. Three forms of music were tested: Easy listening, Mozart, and piano interludes. While listening to music, agitation levels were recorded for the patients with a high score indicating a higher level of agitation. Scores are recorded below. Group Piano Interlude Mozart Easy Listening Early Stage Alzheimer's 21 24 22 18 20 Mean=21.0 9 12 10 5 9 Mean=9.0 29 26 30 24 26 Mean=27.0 Middle Stage Alzheimer's 22 20 25 18 20 Mean=21.0 14 18 11 9 13 Mean=13.0 15 18 20 13 19 Mean=17.0 Complete the following ANOVA table. Source df SS MS F Type of Music 2 740 Degree of Alzheimer's 1 30 Interaction 2 260 Error 24 178 Total 29 1208 Are there any significant main effects or an interaction effect? Interpret your answer.
Researchers have sought to examine the effect of various types of music on agitation levels in patients who are in the early and middle stages of Alzheimer's disease. Patients were selected to participate in the study based on their stage of Alzheimer's disease. Three forms of music were tested: Easy listening, Mozart, and piano interludes. While listening to music, agitation levels were recorded for the patients with a high score indicating a higher level of agitation. Scores are recorded below. Group Piano Interlude Mozart Easy Listening Early Stage Alzheimer's 21 24 22 18 20 Mean=21.0 9 12 10 5 9 Mean=9.0 29 26 30 24 26 Mean=27.0 Middle Stage Alzheimer's 22 20 25 18 20 Mean=21.0 14 18 11 9 13 Mean=13.0 15 18 20 13 19 Mean=17.0 Complete the following ANOVA table. Source df SS MS F Type of Music 2 740 Degree of Alzheimer's 1 30 Interaction 2 260 Error 24 178 Total 29 1208 Are there any significant main effects or an interaction effect? Interpret your answer.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Researchers have sought to examine the effect of various types of music on agitation levels in patients who are in the early and middle stages of Alzheimer's disease. Patients were selected to participate in the study based on their stage of Alzheimer's disease. Three forms of music were tested: Easy listening, Mozart, and piano interludes. While listening to music, agitation levels were recorded for the patients with a high score indicating a higher level of agitation. Scores are recorded below.
|
Group |
Piano Interlude |
Mozart |
Easy Listening |
|
Early Stage Alzheimer's |
21 Mean=21.0 |
9 Mean=9.0 |
29 Mean=27.0 |
|
Middle Stage Alzheimer's |
22 Mean=21.0 |
14 Mean=13.0 |
15 Mean=17.0 |
- Complete the following ANOVA table.
|
Source |
df |
SS |
MS |
F |
|
Type of Music |
2 |
740 |
||
|
Degree of Alzheimer's |
1 |
30 |
||
| Interaction |
2 |
260 |
||
|
Error |
24 |
178 |
||
|
Total |
29 |
1208 |
- Are there any significant main effects or an interaction effect?
- Interpret your answer.
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