ANOVA ANOVA Thickness - Formulation Residuals ANOVA ANOVA Strength Formulation Residuals ANCOVA Sum of Squares 4.55 58.40 Formulation Thickness Residuals Sum of Squares ANCOVA - Strength 11.5 78.7 Sum of Squares 1.90 58.24 20.50 df 3 16 df 3 16 df 3 1 15 Mean Square 1.52 3.65 Mean Square 3.85 4.92 Mean Square 0.633 58.240 1.367 F 0.416 F 0.782 F 0.463 42.615 р 0.744 Р 0.521 [3] р 0.712 <.001
ANOVA ANOVA Thickness - Formulation Residuals ANOVA ANOVA Strength Formulation Residuals ANCOVA Sum of Squares 4.55 58.40 Formulation Thickness Residuals Sum of Squares ANCOVA - Strength 11.5 78.7 Sum of Squares 1.90 58.24 20.50 df 3 16 df 3 16 df 3 1 15 Mean Square 1.52 3.65 Mean Square 3.85 4.92 Mean Square 0.633 58.240 1.367 F 0.416 F 0.782 F 0.463 42.615 р 0.744 Р 0.521 [3] р 0.712 <.001
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
Four different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table.
Assuming all assumptions for ANOVA/ANACOVA to be valid are satisfied, perform the NECESSARY tests of hypotheses to determine if there are differences on the different formulations of an industrial glue at 5% level of significance.
Transcribed Image Text:Formulation
A
A
A
A
A
B
B
B
B
B
Strength
46.5
45.9
49.8
46.1
44.3
48.7
49.0
50.1
48.5
45.5
Thickness
13
14
12
12
14
12
10
11
12
14
Formulation
C
C
C
C
C
D
D
D
D
D
Strength
46.3
47.1
48.9
48.2
50.3
44.7
43.0
51.0
48.1
48.6
Thickness
15
14
11
11
10
16
15
10
12
11
![jamovi outputs:
ANOVA
ANOVA Thickness
Formulation
Residuals
ANOVA
ANOVA Strength
Formulation
Residuals
ANCOVA
Sum of Squares
4.55
Formulation
Thickness
Residuals
ANCOVA Strength
58.40
Sum of Squares
11.5
78.7
Sum of Squares
1.90
58.24
20.50
df
3
16
df
3
16
df
3
1
15
Mean Square
1.52
3.65
Mean Square
3.85
4.92
Mean Square
0.633
58.240
1.367
0.416
F
0.782
F
0.463
42.615
р
0.744
р
0.521
[3]
р
0.712
<.001
[3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceb4d42b-d554-4cb1-a801-14b9f950b7de%2F31a1aa63-1d96-45ad-b8d3-343472159f5d%2Fknlxe5e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:jamovi outputs:
ANOVA
ANOVA Thickness
Formulation
Residuals
ANOVA
ANOVA Strength
Formulation
Residuals
ANCOVA
Sum of Squares
4.55
Formulation
Thickness
Residuals
ANCOVA Strength
58.40
Sum of Squares
11.5
78.7
Sum of Squares
1.90
58.24
20.50
df
3
16
df
3
16
df
3
1
15
Mean Square
1.52
3.65
Mean Square
3.85
4.92
Mean Square
0.633
58.240
1.367
0.416
F
0.782
F
0.463
42.615
р
0.744
р
0.521
[3]
р
0.712
<.001
[3]
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