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-(d) Show that E SS. - ܚ ܘܘ ?ܘ tn .-1 e) Under the null hypothesis, show that E(SS.) = (a-1)02.

-(d) Show that E SS. - ܚ ܘܘ ?ܘ tn .-1 e) Under the null hypothesis, show that E(SS.) = (a-1)02.

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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Part D And E only.       

For the one way ANOVA model (9-1)x Yij = μ+α₁ + Eij, where i = 1,2..., a, j=1,2,...,n; and e→N(0,02) a) Write the null and alternative hypotheses b) Show that E (Y.) = μ (e) Show that the sum of squares due to treatment, SS. is Show that nΣ(₁.-Y.) ² = ² Y² - Y²2 an SSa = n SSa B E = 0² +n=i=10² a-1 e) Under the null hypothesis, show that E(SS.) = (a − 1)0². -
Transcribed Image Text:For the one way ANOVA model (9-1)x Yij = μ+α₁ + Eij, where i = 1,2..., a, j=1,2,...,n; and e→N(0,02) a) Write the null and alternative hypotheses b) Show that E (Y.) = μ (e) Show that the sum of squares due to treatment, SS. is Show that nΣ(₁.-Y.) ² = ² Y² - Y²2 an SSa = n SSa B E = 0² +n=i=10² a-1 e) Under the null hypothesis, show that E(SS.) = (a − 1)0². -
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