In a study of heat resistance of potato varieties, six plantlets of four varieties of potatoes were randomly assigned to each of four temperature regimes. Weights of tubers were recorded after 45 days. The resulting experiment is a 4 × 4 factorial. The data are shown in the following table. Perform the analysis to determine the nature of differences in heat resistance among the varieties. Make recommendations indicated by the results. Table 9.29 Data for Exercise 10 Temp Day Volume 15 20 BUR 0.46 0.42 BUR 0.19 0.00 0.17 0.10 0.21 0.25 0.41 0.33 0.27 0.06 25 BUR 0.00 0.14 0.00 0.00 0.00 0.41 30 BUR 0.00 0.00 15 20 25 KEN 0.35 0.36 KEN 0.27 0.39 KEN 0.54 0.28 0.37 0.00 0.12 0.00 0.00 0.33 0.55 0.38 0.38 0.33 0.40 30 KEN 0.20 0.00 0.00 0.44 0.00 0.43 0.19 0.28 0.00 0.17 0.00 15 NOR 0.27 20 NOR 0.36 25 30 NOR 0.12 0.00 0.00 0.00 0.33 0.35 0.27 0.40 0.36 0.40 0.12 0.36 0.26 0.38 NOR 0.53 0.51 0.00 0.57 0.28 0.15 0.42 0.23 15 20 25 30 RLS 0.41 RLS 0.23 RLS 0.08 0.29 0.70 RLS 0.54 0.23 0.00 0.57 1.25 0.25 0.39 0.00 0.00 0.09 0.25 0.19 0.19 0.14 0.16 0.42 0.00 0.09 0.00
In a study of heat resistance of potato varieties, six plantlets of four varieties of potatoes were randomly assigned to each of four temperature regimes. Weights of tubers were recorded after 45 days. The resulting experiment is a 4 × 4 factorial. The data are shown in the following table. Perform the analysis to determine the nature of differences in heat resistance among the varieties. Make recommendations indicated by the results. Table 9.29 Data for Exercise 10 Temp Day Volume 15 20 BUR 0.46 0.42 BUR 0.19 0.00 0.17 0.10 0.21 0.25 0.41 0.33 0.27 0.06 25 BUR 0.00 0.14 0.00 0.00 0.00 0.41 30 BUR 0.00 0.00 15 20 25 KEN 0.35 0.36 KEN 0.27 0.39 KEN 0.54 0.28 0.37 0.00 0.12 0.00 0.00 0.33 0.55 0.38 0.38 0.33 0.40 30 KEN 0.20 0.00 0.00 0.44 0.00 0.43 0.19 0.28 0.00 0.17 0.00 15 NOR 0.27 20 NOR 0.36 25 30 NOR 0.12 0.00 0.00 0.00 0.33 0.35 0.27 0.40 0.36 0.40 0.12 0.36 0.26 0.38 NOR 0.53 0.51 0.00 0.57 0.28 0.15 0.42 0.23 15 20 25 30 RLS 0.41 RLS 0.23 RLS 0.08 0.29 0.70 RLS 0.54 0.23 0.00 0.57 1.25 0.25 0.39 0.00 0.00 0.09 0.25 0.19 0.19 0.14 0.16 0.42 0.00 0.09 0.00
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:In a study of heat resistance of potato varieties, six plantlets of four varieties of potatoes were
randomly assigned to each of four temperature regimes. Weights of tubers were recorded
after 45 days. The resulting experiment is a 4 × 4 factorial. The data are shown in the
following table. Perform the analysis to determine the nature of differences in heat resistance
among the varieties. Make recommendations indicated by the results.
52525220 2220 2220
Table 9.29 Data for Exercise 10
Temp Day
15
30
Volume
BUR 0.19 0.00 0.17 0.10 0.21 0.25
BUR 0.46 0.42 0.41 0.33 0.27 0.06
BUR 0.00 0.14 0.00 0.00 0.00 0.41
BUR 0.00 0.00 0.00 0.12 0.00 0.00
15
KEN 0.35 0.36 0.33
0.55
0.38 0.38
30
KEN 0.27 0.39 0.33
KEN 0.54 0.28 0.37
KEN 0.20 0.00
0.40
0.44 0.00
0.00
0.43
0.00 0.17 0.00
0.19 0.28
15
NOR 0.27 0.33 0.35
0.27 0.40 0.36
25
30
15
25
30
RLS 0.08 0.29 0.70 0.25 0.19
RLS 0.54 0.23 0.00 0.57 1.25 0.25
RLS 0.41 0.39 0.00 0.14 0.16 0.42
RLS 0.23 0.00 0.09 0.00 0.09 0.00
NOR 0.36 0.40 0.12 0.36 0.26 0.38
NOR 0.53 0.51 0.00 0.57 0.28 0.42
NOR 0.12 0.00 0.00 0.00 0.15 0.23
0.19
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Step 1: Write the given information.
VIEWStep 2: Compute the grand mean, degree of freedom and sum of squares for the Anova.
VIEWStep 3: Compute the sum of squares for the two way Anova with replications.
VIEWStep 4: Compute the mean square error, F statistics and ANOVA table.
VIEWStep 5: Perform hypothesis test to determine the nature of differences in heat resistance among varieties.
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