1.STATISTICAL INFERENCE a)Let X₁, X2,..., Xn be a random sample of size n from population X. Suppose that X has thefollowing probability mass function:x = 1,2,3,...elsewheref (x; 0) = {0 (1 - 0)*-1,i) Find the conditional distribution of the likelihood function given the function of the statistic,Ô = ₁ X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)).ii) Based on i) above, is Ô = Σ₁ X₁ a sufficient statistic? Justify your answer.n

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Answered: to, elsewhere i) Find the conditional…

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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Analysis of variance compares the means of a response variable for several groups. ANOVA compares the variation within each group to the variation of the mean of each group. The ratio of these two is the F statistic from an F distribution with (number of groups - 1) as the numerator degrees of freedom and (number of observations - number of groups) as the denominator degrees of freedom.You intend to conduct an ANOVA with 4 groups in which each group will have the same number of subjects: n=7. (This is referred to as a "balanced" single-factor ANOVA.)What are the degrees of freedom for the numerator?d.f.(treatment) =What are the degrees of freedom for the denominator?d.f.(error) =
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to, elsewhere i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁X₁. Hint: Apply ƒ(L(0)|g(Ô, 0)). ii) Based on i) above, is = 1 X₁ a sufficient statistic? Justify your answer.