Problem 2: Imagine that we are comparing the strength of raw material from four suppliers. Supplier is our categorical independent variable (factor) while strength is the continuous dependent variable. We draw a random sample of 10 units of material from each supplier and measure the strength (in PSI) of all units. Now, we want to determine whether the mean strengths of the material from the four suppliers are different. The data obtained are presented in the table. Test at 0.01 level of significance whether there are significant differences among the treatments. Supplier1 3.32 Supplier2 10.71 12.39 Supplier3 8.31 16.50 6.36 Supplier4 10.16 8.31 Unit1 Unit2 6.36 Unit3 7.88 9.21 8.66 5.17 Unit4 8.60 3.05 13.32 11.65 7.43 Unit5 5.83 3.34 11.14 Unitó 10.87 9.57 6.06 Unit7 7.25 7.19 10.90 7.92 4.01 10.35 5.60 11.86 13.72 689 12.17 Unit8 Unit9 5.29 10.55 6.96 12.49 Unit 10 8.79
Problem 2: Imagine that we are comparing the strength of raw material from four suppliers. Supplier is our categorical independent variable (factor) while strength is the continuous dependent variable. We draw a random sample of 10 units of material from each supplier and measure the strength (in PSI) of all units. Now, we want to determine whether the mean strengths of the material from the four suppliers are different. The data obtained are presented in the table. Test at 0.01 level of significance whether there are significant differences among the treatments. Supplier1 3.32 Supplier2 10.71 12.39 Supplier3 8.31 16.50 6.36 Supplier4 10.16 8.31 Unit1 Unit2 6.36 Unit3 7.88 9.21 8.66 5.17 Unit4 8.60 3.05 13.32 11.65 7.43 Unit5 5.83 3.34 11.14 Unitó 10.87 9.57 6.06 Unit7 7.25 7.19 10.90 7.92 4.01 10.35 5.60 11.86 13.72 689 12.17 Unit8 Unit9 5.29 10.55 6.96 12.49 Unit 10 8.79
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Help me answer these problems : One-way ANOVA
Provide the ANOVA Table for each problem. An example ANOVA table is presented below:
Transcribed Image Text:Instruction:
Provide the ANOVA Table for each problem. An example ANOVA table is
presented below:
Source of Variation
SS
df
MS
F
p-value
Between Groups
Within Groups
Total
Problem 2:
Imagine that we are comparing the strength of raw material from four suppliers.
Supplier is our categorical independent variable (factor) while strength is the
continuous dependent variable. We draw a random sample of 10 units of
Problem 4:
material from each supplier and measure the strength (in PSI) of all units. Now,
we want to determine whether the mean strengths of the material from the four
suppliers are different. The data obtained are presented in the table. Test at 0.01
level of significance whether there are significant differences among the
Each of the following four columns (stored in columns f1 to f4 of the table)
represents instrument recording of some arbitrary property consisting of 6
samples. At 0.05 significance level, determine whether there is a significance
different among the four recordings.
treatments.
Supplier1
Supplier2
Supplier3
Supplier4
Unit1
3.32
10.71
8.31
10.16
f1
f2
f3
f4
Unit2
Unit3
Unit4
6.36
12.39
16.50
8.31
Samplel
Sample2
15
15
23
29
7.88
8.66
6.36
5.17
24
16
25
25
9.21
5.83
8.60
16
3.05
13.32
7.43
Sample3
27
18
17
Unit5
3.34
11.14
Sample4
26
19
16
26
Unitó
10.87
9.57
11.65
6.06
Sample5
22
18
26
30
Unit7
7.25
7.19
10.90
5.60
Sampleó
20
25
15
17
Unit8
Unit9
5.29
11.86
7.92
12.17
10.55
13.72
4.01
12.49
Unit 10
6.96
6.89
10.35
8.79
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