ercise 7.7.5 Consider the balanced two-way ANOVA with interaction model * = u + a; + N¡+Yj+eijk, i=1,..,a, j = 1,...,b, k = 1,...,N, with e¡ ikS lependent N(0, o²). Find E[Y'(÷J" + Ma)Y] in terms of µ, the a;s, the njs, and = Yijs. %3D
ercise 7.7.5 Consider the balanced two-way ANOVA with interaction model * = u + a; + N¡+Yj+eijk, i=1,..,a, j = 1,...,b, k = 1,...,N, with e¡ ikS lependent N(0, o²). Find E[Y'(÷J" + Ma)Y] in terms of µ, the a;s, the njs, and = Yijs. %3D
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Exercise 7.7.5
Consider the balanced two-way ANOVA with interaction model
Yijk = µ + C; +Nj+Yij+eijk, i = 1,.,a, j = 1,...,b, k = 1,.…..,N, with e¡s
independent N(0, o²). Find E[Y'(I+Ma)Y] in terms of µ, the a,s, the n¡s, and
the Yijs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75180f38-a623-4752-a522-ed8d2f8473be%2F051613fe-7b64-4dc7-ad5e-13890a94264c%2Fyzanq8r_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 7.7.5
Consider the balanced two-way ANOVA with interaction model
Yijk = µ + C; +Nj+Yij+eijk, i = 1,.,a, j = 1,...,b, k = 1,.…..,N, with e¡s
independent N(0, o²). Find E[Y'(I+Ma)Y] in terms of µ, the a,s, the n¡s, and
the Yijs.
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