Question: For the GLMM for binary data using probit link function, 1[P(yij = 1 ui)] = xij???? + zijui show that the corresponding marginal model

For the GLMM for binary data using probit link function,

Φ−1[P(yij = 1 ∣ ui)] = xij???? + zijui show that the corresponding marginal model is Φ−1[P(yij = 1] = xij????[1 +

zij????uzT ij]

−1∕2. Compare effects in the GLMM and marginal model.

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:

The GLMM for binary data using probit link function is 1 [P(Y it = 1 | u i )] = x it + z it u i , where is the N(0, 1) cdf and u i has N(0, ) pdf, f(u i ; ). a. Show that the marginal mean is P(Y...

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:

In this question, we change the response in Problem9.23 to a three-level response by grouping the counts of UTIs into three levels, 0,1 , and \(\geq 2\). Fit the following models and test whether...

Q:

Use the longitudinal Catheter Self Management Study data for this question ("intake.csv" contains demographic and baseline information, and "catheter.csv" contains follow-up measurements). We model...

Q:

Summarize advantages and disadvantages of using a GLMM approach compared to a marginal model approach. Describe conditions under which parameter estimators are consistent for (a) marginal models...

Q:

10.23 A crossover study compares two drugs on a binary response variable. The study classifies subjects by age as under 60 or over 60. In a GLMM, these two age groups have the same conditional effect...

Q:

Please read the case example below and answer the questions. A private hospital in Abu Dhabi was considering to move to a model of 100% single room design. This means that there would be no shared...

Q:

For the toxicity study of Table 12.9, collapsing to a binary response, consider linear logit models for the probability a fetus is normal. a. Does the ordinary binomial model show evidence of...

Q:

A crossover study analyzed by B. Jones and M. Kenward (1987, Stat. Med. 6: 555564) compared three drugs on a binary outcome (success = 1, failure = 0). Counts for the eight possible response patterns...

Q:

Download the file Rats.dat at the text website for the teratology study in Table 8.1. a. Use the GEE approach to fit the logistic model, assuming an exchangeable working correlation structure for...

Q:

What is the difference between a competitive bid and a non-competitive bid in a T-bill auction?

Q:

Sheffields is the new favorite pizza, pasta, and sub place in town! Everyone raves about the generous portions and the delicious flavors of this restaurants classic, go-to eats. After one year of...

Q:

Find f ' ( a ) . f ( t ) = 6 t + 2 0 / t + 9 f ' ( a ) =

Q:

Find the average value of the function on the given interval. f() = sec 2 (/2), [0, /2]

Q:

Is there a relationship between the weight of a mountain bike and its price? A lighter bike is often preferred, but do lighter bikes tend to be more expensive? The following table, from the Mountain...

Q:

Is there a relationship between the protein content and the cost of Subway sandwiches? Use software to analyze the data in the following table: a. Construct a scatterplot to show how protein depends...

Q:

Refer to Example 6 and the Buchanan and the Butterfly Ballot data file on the text CD. Let y = Buchanan vote and x = Gore vote. a. Construct a box plot for each variable. Summarize what you learn. b....

Q:

Complete the sentence with the correct word. There are many 1 POINT A benefits produce to learning a second or third language. compete D improve

Q:

4 Not yet answered Marked out of 1.00 Flag question What does a negative free cash flow indicate? Select one: a. The amount of debt repayment was higher than the company's net cash flow from...

Q:

A firm operated at 80% of capacity for the past year, during which fixed costs were $195,000, variable costs were 70% of sales, and sales were $930,000. Operating profit was Oa. $84,000 Ob. $279,000...