The data refer to 5 suppliers of the Levi-Strauss clothing manufacturing plant in Albuquerque. The firm's quality control department collects weekly data on percentage waste y (run-up). The sample means (ỹ;) and sample standard deviations s, are given in the JMP output below (last table) for each supplier (labeled as 1, 2, 3, 4, 5). Response Run-Up Residual by Predicted Plot Oneway Analysis of Run-Up By Supplier Plant Number 20 25 15 10 20 15 -10 -15 10 -20 -25 -15 -10 -5 10 15 20 25 Run-Up Predicted Residual Normal Quantile Plot 20 -10 15 -15 10 Supplier Plant Number • Oneway Anova * Analysis of Variance Sum of Squares Mean Square 544.6349 F Ratio Prob >F 0.0084 Source DF Supplier Plant Number Error 136.159 37.236 3.6566 -5 88 3276.7896 92 3821.4245 C. Total Means and Std Deviations -10 Std Err Mean Lower 96% Upper 95% Level Number Mean Std Dev -15 21 2.7047619 5.4155772 1.1817758 0.2396207 5.1699031 21 5.9095238 7.0884346 1.5468232 19 4.8315789 4.4031621 1.0101547 2.6829071 9.1361405 -20 2.7093228 6.9538351 19 7.4894737 3.6570928 0.8389946 5.7268114 9.252136 13 10.376923 9.5550296 2.6500884 4.6028765 16.15097 Normal Quantle --- ... S0'0 L00 empe dn-unu empsy dn-uny dn-ure

Answered: The data refer to 5 suppliers of the Levi-Strauss clothing manufacturing plant in Albuquerque. The firm's quality control department collects weekly data on…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

See the attached image for the introduction.

Based on the JMP outputs and plots above, make comments on the appropriateness of assumptions for the one-way ANOVA model.

• Constant variance:

• Normality:

The data refer to 5 suppliers of the Levi-Strauss clothing manufacturing plant in Albuquerque. The
firm's quality control department collects weekly data on percentage waste y (run-up).
The sample means (ỹ;) and sample standard deviations s, are given in the JMP output below (last
table) for each supplier (labeled as 1, 2, 3, 4, 5).
Response Run-Up
Residual by Predicted Plot
Oneway Analysis of Run-Up By Supplier Plant Number
20
25
15
10
20
15
-10
-15
10
-20
-25
-15
-10
-5
10
15
20
25
Run-Up Predicted
Residual Normal Quantile Plot
20
-10
15
-15
10
Supplier Plant Number
• Oneway Anova
* Analysis of Variance
Sum of
Squares Mean Square
544.6349
F Ratio Prob >F
0.0084
Source
DF
Supplier Plant Number
Error
136.159
37.236
3.6566
-5
88 3276.7896
92 3821.4245
C. Total
Means and Std Deviations
-10
Std Err
Mean Lower 96% Upper 95%
Level Number
Mean
Std Dev
-15
21 2.7047619 5.4155772 1.1817758
0.2396207
5.1699031
21 5.9095238 7.0884346 1.5468232
19 4.8315789 4.4031621 1.0101547
2.6829071
9.1361405
-20
2.7093228
6.9538351
19 7.4894737 3.6570928 0.8389946
5.7268114
9.252136
13 10.376923 9.5550296 2.6500884
4.6028765
16.15097
Normal Quantle
--- ...
S0'0
L00
empe dn-unu
empsy dn-uny
dn-ure

Expert Solution

Step 1

Assumptions of the one-way ANOVA model:

Normality:

The data in the population or the populations from which the samples are selected are normally distributed.

Independence within groups:

Independence within groups means that the participants are independently observed within groups is made but not between groups.

Homogeneity of variance:

Homogeneity of variance means that the variance in each population is the same as the other populations.

Homogeneity of covariance:

Homogeneity of covariance means that the participant scores in each group are related.

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