2) Specify the appropriate linear model and define each component in the context with the problem.. Yijk = μ + α₁ + B₁ + (aß)¡j + Eįjk; i = 1,2 ; j = 1,2 ; k = 1,2,3 Yijk = μl = a¡ = B₁ = (aß) ¡j = Eijk ijk =
2) Specify the appropriate linear model and define each component in the context with the problem.. Yijk = μ + α₁ + B₁ + (aß)¡j + Eįjk; i = 1,2 ; j = 1,2 ; k = 1,2,3 Yijk = μl = a¡ = B₁ = (aß) ¡j = Eijk ijk =
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:Problem: Mr. Kinalabaw, an owner of a mango plantation, is worried about the
increasing number of fruit piercing moths present in most of the mango trees in his
farm. He then asked for Concon's help, his trusted statistician, in resolving the
problem. They identified two types of pesticide (1, 2) and two methods of
application (A, B). They applied each treatment combination to 3 fruit piercing
moths. Their survival time (in minutes) was recorded.
Pesticide
Method of
Application
Survival Time (in minutes)
A
31
29
30
1
B
28
30
27
A
23
18
20
2
B
17
15
18
185
data: Pesticide 1 Method A
Shapiro-Wilk normality test
W = 1.00000,
p-value = 1.0000
data: Pesticide 2 Method A
Shapiro-Wilk normality test
W 0.98684
p-value 0.7804
=
Bartlett test of homogeneity of variances
data: survival time by trmcombin
Bartlett's K-squared 1.4136, df = 3, p-value = 0.7024
Levene's Test for Homogeneity of Variance (center "mean")
Df F value Pr (>F)
group 3 0.8718 0.4947
8
Anova Table (Type II tests)
Response: survival time
Sum Sq Df F value
21.33 1 7.1111
method
pesticide
method:pesticide 3.00 1 1.0000
Residuals
24.00 8
Pr (>F)
0.02851 *
341.33 1 113.7778 0.000005232 ***
0.34659
Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05. 0.1''
Kruskal-Wallis rank sum test.
data: survival time by trmcombin
Kruskal-Wallis chi-squared= 9.6573, df = 3, p-value = 0.02172
data: Pesticide 1 Method B
Shapiro-Wilk normality test
W 0.96429,
p-value 0.6369
data: Pesticide 2 Method B
Shapiro-Wilk normality test
W= 0.96429
p-value 0.6369
Transcribed Image Text:2) Specify the appropriate linear model and define each component in the
context with the problem..
Yijk = μ + α₁ + B₁ + (aß)¡j + Eijk; i = 1,2 ; j = 1,2; k = 1,2,3
Y
μl =
α; =
B₁ =
(ap) =
& ijk
=
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