The following data were obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping mate used or variability in different batches. Each number in the cell is a cell total ba on n=3 experimental units. Capping Materials 1 23 1 1847 1779 1806 2 1942 1850 1892 Batch 3 1935 1795 1889 4 1891 1785 1891 5 1795 1626 1756
The following data were obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping mate used or variability in different batches. Each number in the cell is a cell total ba on n=3 experimental units. Capping Materials 1 23 1 1847 1779 1806 2 1942 1850 1892 Batch 3 1935 1795 1889 4 1891 1785 1891 5 1795 1626 1756
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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Transcribed Image Text:The following data were obtained in an experiment to investigate whether the
compressive strength of concrete cylinders depends on the type of capping material
used or variability in different batches. Each number in the cell is a cell total based
on n=3 experimental units.
Capping
Materials
1
2
3
1
1847
1779
1806
2
1942
1850
1892
Source of Variation
Factor A (Capping material)
Factor B (Batch)
Interaction (AB)
FE
Batch
3
1935
1795
1889
1891
1785
1891
Assume that capping material is a fixed effects factor, the batch is a random-effects
factor, and all assumptions to perform an ANOVA test are satisfied. Part of the
ANOVA table is presented as:
SS
11573.38
17930.09
1734.17
4716.67
5
1795
1626
1756
Transcribed Image Text:ANOVA table is presented as:
(a)
(b)
Source of Variation
Factor A (Capping material)
Factor B (Batch)
Interaction (AB)
Error (E)
Total (T)
SS
11573.38
17930.09
1734.17
4716.67
35954.31
Test all hypotheses from the ANOVA table using a 0.05 level of significance.
Perform a pairwise comparison test using Fisher's LSD procedure using a
0.01 level of significance.
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