Based on the MANOVA output, what is the value of the F test statistic associated with Hotelling-Lawley trace? (final answer to 3 decimal places)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 19E
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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
-0.12991 0.223694
14.97038
18
2770.454
0.665392
0.847974
herbicide
-0.129914711
0.223694156
MANOVA
Pillai Trace
Wilk's Lambda
Hotelling Trace
stat
0.5345
Group Means
loam
sandy
salty
clay
total
0.9946
Determinant E 916097489.2
Detrminant T 1871826093
F
yield water herbicide
69.712532.7375 6.3875
4.35
62.575 28.2
55.3125 30.6375 3.8625
58.8375 33.0875 4.0875
61.60938 31.16563 4.671875
df1
df2 p-value
count
8
8
Based on the MANOVA output, what is the value of the F test statistic associated with
Hotelling-Lawley trace? (final answer to 3 decimal places)
8
eta-sq
0.046408 0.178167
0.020472 0.254426
0.008399 0.248993
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 0.202663 -0.12991 0.223694 14.97038 18 2770.454 0.665392 0.847974 herbicide -0.129914711 0.223694156 MANOVA Pillai Trace Wilk's Lambda Hotelling Trace stat 0.5345 Group Means loam sandy salty clay total 0.9946 Determinant E 916097489.2 Detrminant T 1871826093 F yield water herbicide 69.712532.7375 6.3875 4.35 62.575 28.2 55.3125 30.6375 3.8625 58.8375 33.0875 4.0875 61.60938 31.16563 4.671875 df1 df2 p-value count 8 8 Based on the MANOVA output, what is the value of the F test statistic associated with Hotelling-Lawley trace? (final answer to 3 decimal places) 8 eta-sq 0.046408 0.178167 0.020472 0.254426 0.008399 0.248993
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