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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)

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)

MATLAB: An Introduction with Applications
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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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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