A new type of corn seed has been developed and a team of agronomists wanted to determine whether there was a significant difference between the types of soils that they are planted in (loam, sandy, salty, clay) based on the yield of the crop, the amount of water required, and the amount of herbicide needed. Eight fields of each type were chosen for the analysis. Correlation matrix yield water herbicide Box's M Test M df1 df2 F p-value yield water 1 0.202663 0.202663 1 -0.12991 0.223694, 14.97038 18 2770.454 0.665392 0.847974 herbicide 0.129914711 0.223694166 MANOVA 1 Pillal Trace Wilk's Lambda Hotelling Trace Determinant E Detrminant T stat 0.5345 0.9946 916097489.2 1871826093 UNISASA Group Means Joar sandy salty clay total Based on the output, what may be inferred from the results? I. assumption of absence of multicollinearity is valid II. assumption of homogeneity of covariance matrices is valid yield water herbicide 69.7125 32.7375 6.3875 62.575 28.2 4.35 55.3125 30.6375 3.8625 58.837533.0875 4.0875 61.60938 31.16563 4.671875 df1 count 8 8 df2 p-value eta-sq 0.046408 0.178167 0.020472 0.254426 0.008399 0.248993
A new type of corn seed has been developed and a team of agronomists wanted to determine whether there was a significant difference between the types of soils that they are planted in (loam, sandy, salty, clay) based on the yield of the crop, the amount of water required, and the amount of herbicide needed. Eight fields of each type were chosen for the analysis. Correlation matrix yield water herbicide Box's M Test M df1 df2 F p-value yield water 1 0.202663 0.202663 1 -0.12991 0.223694, 14.97038 18 2770.454 0.665392 0.847974 herbicide 0.129914711 0.223694166 MANOVA 1 Pillal Trace Wilk's Lambda Hotelling Trace Determinant E Detrminant T stat 0.5345 0.9946 916097489.2 1871826093 UNISASA Group Means Joar sandy salty clay total Based on the output, what may be inferred from the results? I. assumption of absence of multicollinearity is valid II. assumption of homogeneity of covariance matrices is valid yield water herbicide 69.7125 32.7375 6.3875 62.575 28.2 4.35 55.3125 30.6375 3.8625 58.837533.0875 4.0875 61.60938 31.16563 4.671875 df1 count 8 8 df2 p-value eta-sq 0.046408 0.178167 0.020472 0.254426 0.008399 0.248993
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:A new type of corn seed has been developed and a team of agronomists wanted to determine
whether there was a significant difference between the types of soils that they are planted in
(loam, sandy, salty, clay) based on the yield of the crop, the amount of water required, and the
amount of herbicide needed. Eight fields of each type were chosen for the analysis.
Correlation matrix
yield
water
herbicide
Box's M Test
M
df1
df2
F
p-value
yield
water
1 0.202663
1
0.202663
-0.12991 0.223694
14.97038
18
2770.454
0.665392
0.847974
herbicide
0.129914711
0.223694166
MANOVA
Pillai Trace
Wilk's Lambda
Hotelling Trace
Determinant E
Detrminant T
istat
0.5345
0.9946
916097489.2
1871826098
Group Means
loam
sandy
salty
clay
total
Based on the output, what may be inferred from the results?
I. assumption of absence of multicollinearity is valid
II. assumption of homogeneity of covariance matrices is valid
yield water herbicide
69.7125 32.7375 6.3875
62.575 28.2
4,35
55.3125 30.6375 3.8625
58.837533.0875 4.0875
61.60938 31.16563 4.671875
df1
count
8
8
8
df2 p-value eta-sq
0.046408 0.178167
0.020472 0.254426
0.008399 0.248993
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