Question: Consider the model log(mijk) = u + u1(i) + u2(j) + u3(k) + u12(ij). (a) Show that the maximum likelihood estimate of u3(1) u3(2)

Consider the model log(mijk) = u + u1(i) + u2(j) +

u3(k) + u12(ij).

(a) Show that the maximum likelihood estimate of u3(1) − u3(2) is log(n··1) − log(n··2).

(b) Show that maximum likelihood estimation gives log

uˆ12(11)uˆ12(22)

uˆ12(12)uˆ12(21) 

= log(n11·) − log(n12·) − log(n21·) + log(n22·).

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 Linear State Space Systems Questions!

Q:

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)....

Q:

Please answer all the required questions in detail I hope the answer is not copy-paste I hope that the answer will be according to the concepts in the chapter 3 The following article summarizes the...

Q:

Teuro5 For the year ending December 31, 2021, the Company's income statement is as follows: Revenues $1,093,000 Expenses: Cost Of Goods Sold ($206,000) Administrative Costs ( 152,000) Amortization...

Q:

2 CS229 Problem Set #4 Solutions log m ! p(x(i) |)p() = log p() + m " log p(x(i) |) i=1 i=1 = log p() + m " log " p(x(i) , z (i) |) log " Qi (z (i) ) i=1 = log p() + log p() + m " z (i) i=1 z (i) m...

Q:

Korea Advanced Institute of Science and Technology Department of Electrical Engineering & Computer Science EE531 Statistical Learning Theory, Spring 2016 Assignment I Issued: Mar. 19, 2016 Due: Apr....

Q:

An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips. For treatment A applied to 10 wafers, the numbers of imperfections are 8, 7, 6, 6, 3,...

Q:

ptitanic = na. omit (ptitanic) set . seed (420) trn_idx = sample (nrow(ptitanic) , 300) ptitanic_trn = ptitanic [trn_idx, ] ptitanic_tst = ptitanic [-trn_idx, ] (a) Consider the model log P(x) 1 - p...

Q:

An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips. For treatment A applied to 10 wafers, the numbers of imperfections are 8, 7, 6, 6, 3,...

Q:

C13.3 Use the data in KIELMC.RAW for this exercise. (i) The variable dist is the distance from each home to the incinerator site, in feet. Consider the model log( price) 0 0y81 1log(dist) ...

Q:

Answer the following question the graphic. Consider a categorical response Y" which takes possible values 0 and 1 as well as three numerical predictors X1. X2, and X3. Recall that p(x) = P[Y = 1 | X...

Q:

The base of this prism is a hexagon where all the sides measure 5 cm. The area of the base is about 65 cm. 16 cm 5 cm 1. What is the volume of the prism? 2. What is the surface area of the prism?

Q:

Consider an economy with 2 firms and a mass 1 of labor input that can be allocated to either firm (that is, labor supply is 1 unit for every possible level of the wage rate. This assumption -...

Q:

ch 3 An investment banker often underwrites new issues of securities may be a division within a brokerage firm facilitates the sale of new securities Group of answer choices all of these 1 and 2 2...

Q:

What is the definition of cooperative strategy, and why is this strategy important to firms competing in the current competitive landscape?

Q:

Exercise 1.13.1, useCp to determine a best submodel for each fit. Plot the regression lines for the best submodels. Which family works better on these data, cosines or polynomials? Use Cp to...

Q:

Exercise 1.13.3. Based on the s = 10 polynomial and cosine models fitted in

Q:

Exercise 1.13.2. Using s = 8, fit the Coleman Report data using Haar wavelets. How well does this do compared to the cosine and polynomial fits?

Q:

Exercise 8-69 (Algorithmic) Unearned Revenue Long Beach Exterminators signed a $2,140-per-month contract on November 1, 2019, to provide pest control services to rental units owned by Palmdale...

Q:

points) Pepperoni Pizza Restaurant operates in leased premises, on which the company has a 5-year lease. The company spent $50,000, making extensive improvements to the building when it moved in....

Q:

Required information Problem 20-1A (Algo) Manufacturing: Preparing production, materials, labor, and overhead budgets LO P1 [The following information applies to the questions displayed below.] Black...