3.24 An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213–216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch × 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table: Rodding Level Compressive Strength 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Refer to the data above. Construct the ANOVA table manually. Show your calcu a. SSTotal b. SSTreatment c. SSError d. Degree of freedom e. Mean square error f.E statistics

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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3.24
An article in the ACI Materials Journal (Vol. 84, 1987,
pp. 213–216) describes several experiments investigating the
rodding of concrete to remove entrapped air. A 3-inch × 6-inch
cylinder was used, and the number of times this rod was used
is the design variable. The resulting compressive strength of
the concrete specimen is the response. The data are shown in
the following table:
Rodding
Level
Compressive Strength
10
1530
1530
1440
15
1610
1650
1500
20
1560
1730
1530
25
1500
1490
1510
Refer to the data above. Construct the ANOVA table manually. Show your calculation to find
a. SSTotal
b. SSTreatment
c. SSError
d. Degree of freedom
e. Mean square error
f. F statistics
Transcribed Image Text:3.24 An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213–216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch × 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table: Rodding Level Compressive Strength 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Refer to the data above. Construct the ANOVA table manually. Show your calculation to find a. SSTotal b. SSTreatment c. SSError d. Degree of freedom e. Mean square error f. F statistics
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