Question: 57. Consider the additive random-effects model X jk = J.L + Ai + Bj + U;jk (i=l,. ..,a; j=l, .. . ,b; k=l, . .

57. Consider the additive random-effects model X jk = J.L + Ai + Bj + U;jk (i=l,. ..,a; j=l, .. . ,b; k=l, . . . ,n), where the A's, B's, and U's are independent normal with zero means and variances a], aJ, and a2 respectively. Determine (i) the joint density of the X's, (ii) the UMP unbiased test of H : aVa2 S 6.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistical Sampling To Auditing Questions!

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

2.1 Marginal and conditional probability: The social mobility data from Sec- tion 2.5 gives a joint probability distribution on (Y1, Y2)= (father's oc- cupation, son's occupation). Using this joint...

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Commentary Beyond Black Box Epidemiology Douglas L. Weed, MD, PhD "Black box epidemiology" is the most recent addition to a long list of disciplinary subgroups although few practitioners would likely...

Consider the additive random-effects model Xijk = + Ai + Bj + Uijk (i = 1,...,a; j = 1,...,b; k = 1,...,n), where the As, Bs, and Us are independent normal with zero means and variances 2 A, 2 B,...

Consider the additive random-effects model Xijk = + Ai + Bj + Uijk (i = 1,..., a; j = 1,..., b; k = 1,..., n), where the As, Bs, and Us are independent normal with zero means and variances 2 A, 2 B,...

Consider an atemporal setting in which an individual has a utility function u of consumption. His current consumption is c. As always, the absolute risk aversion is ARA (c) = u(c)/u (c) and the...

6. Additive noise channel with path gains (12 points). Consider the additive noise channel shown in Figurel]. The signal X and the noise Z have zero mean, variances P and N , respectively, and are...

3. Random effects model Consider the following random-effects model: Yijkmt = + Ai + Bj + Ck + Dm + (AB)ij + (BC)jk + (BD)jm + ijkmt , i = 1,..., a, j = 1,..., b, k = 1,..., c, m = 1,..., d, t =...

ABSTRACT ALGEBRA QUESTION 2 (a) Show that the function h: R :- R defined by hlx} = 31: is an isomorphism of additive groups (b) Let G be a group with N, K as subgroup of G. Define NK ={nk\ E N,k E K}...

Consider the equilibrium of an oligomer: 2 MONOMERS DIMER The ÎH° for this reaction is positive and varies little between 4°C and 45°C. TÎS°, in contrast, varies widely...

The following account balances appear on the books of World Corporation as of December 31, 2012: Preferred stock (5%, $50 par, 70,000 shares authorized, 50,000 shares issued and outstanding) . . . ....

Penetration testing was used for asphalt grading in the past and not used any more now. If the grade is Pen 4 0 - 5 0 , then the depth of the needle will be q , 1 cm 1 0 mm 4 - 5 mm none of the above

Server farms such as Google and Yahoo! provide enough compute capacity for the highest request rate of the day. Imagine that most of the time these servers operate at only 60% capacity. Assume...