ANCOVA - yield genotype height Residuals Sum of Squares 1167.6 60.5 89.9 df 2 1 26 Mean Square 583.82 60.52 3.46 F 168.8 17.5 P <.001 <.001

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 16E
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An experiment was conducted to compare the yield of three plant genotypes. The
height of plants was also recorded to serve as concomitant variable.

True or False?

Assuming that assumptions of ANCAOVA were satisfied, determine if each statement is true or falsewith regards to test of significnace of genotype effects using ANACAOVA a=0.05

Statement:

The test of genotype effects was done while adjusting for the effect of height on yield.

ANOVA
ANOVA -height
genotype
Residuals
ANCOVA
ANCOVA - yield
genotype
height
Residuals
Sum of Squares
14.6
67.2
Sum of Squares
1167.6
60.5
89.9
df
2
27
df
2
1
26
Mean Square
7.28
2.49
Mean Square
583.82
60.52
3.46
F
2.93
F
168.8
17.5
Р
0.071
Р
<.001
<.001
Transcribed Image Text:ANOVA ANOVA -height genotype Residuals ANCOVA ANCOVA - yield genotype height Residuals Sum of Squares 14.6 67.2 Sum of Squares 1167.6 60.5 89.9 df 2 27 df 2 1 26 Mean Square 7.28 2.49 Mean Square 583.82 60.52 3.46 F 2.93 F 168.8 17.5 Р 0.071 Р <.001 <.001
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