a. Is there a significant difference among the scores of the different groups? Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 1 30 25 18 24 30 34 2 36 30 17 26 22 30 3 33 26 10 26 20 31 4 39 26 14 25 21 30 5 34 27 17 18 28 32 6 36 27 17 17 24 32 7 35 27 19 20 26 30 8 38 28 10 23 27 31 9 37 25 10 16 25 32 10 30 25 18 24 30 34 11 36 27 17 17 24 32
a. Is there a significant difference among the scores of the different groups? Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 1 30 25 18 24 30 34 2 36 30 17 26 22 30 3 33 26 10 26 20 31 4 39 26 14 25 21 30 5 34 27 17 18 28 32 6 36 27 17 17 24 32 7 35 27 19 20 26 30 8 38 28 10 23 27 31 9 37 25 10 16 25 32 10 30 25 18 24 30 34 11 36 27 17 17 24 32
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
ANOVA - Analysis of Variance
Is there a significant difference among the scores of the different groups?
Group 1 | Group 2 | Group 3 | Group 4 | Group 5 | Group 6 | ANOVA: Single Factor | ||||||
1 | 36 | 30 | 11 | 21 | 26 | 32 | ||||||
2 | 36 | 30 | 17 | 26 | 22 | 30 | SUMMARY | |||||
3 | 33 | 26 | 10 | 26 | 20 | 31 | Groups | Count | Sum | Average | Variance | |
4 | 39 | 26 | 14 | 25 | 21 | 30 | Group 1 | 10 | 354 | 35.4 | 6.7111111 | |
5 | 34 | 27 | 17 | 18 | 28 | 32 | Group 2 | 10 | 271 | 27.1 | 3.2111111 | |
6 | 36 | 27 | 17 | 17 | 24 | 32 | Group 3 | 10 | 143 | 14.3 | 13.788889 | |
7 | 35 | 27 | 19 | 20 | 26 | 30 | Group 4 | 10 | 216 | 21.6 | 14.044444 | |
8 | 38 | 28 | 10 | 23 | 27 | 31 | Group 5 | 10 | 249 | 24.9 | 10.1 | |
9 | 37 | 25 | 10 | 16 | 25 | 32 | Group 6 | 10 | 314 | 31.4 | 1.6 | |
10 | 30 | 25 | 18 | 24 | 30 | 34 | ||||||
ANOVA | ||||||||||||
Source of Variation | SS | df | MS | F | P-value | F crit | ||||||
Between Groups | 2759.0833 | 5 | 551.81667 | 66.946978 | 6.504E-22 | 2.3860699 | ||||||
Within Groups | 445.1 | 54 | 8.2425926 | |||||||||
Total | 3204.1833 | 59 | ||||||||||
Significant
|
||||||||||||
ANSWER THE FOLLOWING PROBLEM WITH THE GIVEN REFERENCE ABOVE. PROBLEM 1: a. Is there a significant difference among the scores of the different groups? |
||||||||||||
Group 1 | Group 2 | Group 3 | Group 4 | Group 5 | Group 6 | |||||||
1 | 30 | 25 | 18 | 24 | 30 | 34 | ||||||
2 | 36 | 30 | 17 | 26 | 22 | 30 | ||||||
3 | 33 | 26 | 10 | 26 | 20 | 31 | ||||||
4 | 39 | 26 | 14 | 25 | 21 | 30 | ||||||
5 | 34 | 27 | 17 | 18 | 28 | 32 | ||||||
6 | 36 | 27 | 17 | 17 | 24 | 32 | ||||||
7 | 35 | 27 | 19 | 20 | 26 | 30 | ||||||
8 | 38 | 28 | 10 | 23 | 27 | 31 | ||||||
9 | 37 | 25 | 10 | 16 | 25 | 32 | ||||||
10 | 30 | 25 | 18 | 24 | 30 | 34 | ||||||
11 | 36 | 27 | 17 | 17 | 24 | 32 |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman