Let b be an estimator for in the model for GVFs in (9 13) Let B ty tx and y x Suppose that and x are independent a Using the model in (9 13) and the result in (9 2), show that we can estimate V () by b Now let B be a proportion for a subpopulation, where tx is the size of the subpopulation and ty is the number of units in that subpopulation having a certain characteristic Show that () b (1 ) tx and that () (1 )

Question: Let b be an estimator for in the model for GVFs in (9.13). Let B=ty / tx and =y / x. Suppose that

Let b be an estimator for β in the model for GVFs in (9.13). Let B=ty / tx and Ḃ =ṫy / ṫx.
Suppose that Ḃ and ṫx are independent.
a. Using the model in (9.13) and the result in (9.2), show that we can estimate V (Ḃ) by

b. Now let B be a proportion for a subpopulation, where tx is the size of the subpopulation and ty is the number of units in that subpopulation having a certain characteristic. Show that Ṽ (Ḃ) = b Ḃ (1 − Ḃ)/ˆtx and that Ṽ (Ḃ) = Ṽ (1 − Ḃ).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a From 92 Using the fitted model ... View full answer

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 Statistics Questions!

Let b be an estimator for in the model for GVFs in (9.13). Let B=ty / tx and =y / x. Suppose that and x are independent. a. Using the model in (9.13) and the result in (9.2), show that we can...

Let b be an estimator for Î² in the model for GVFs in (9.13). Let B=ty / tx and á¸ =á¹«y / á¹«x. Suppose that á¸ and...

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...

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)....

,. I NEED YOUR EFFORT HERE PLEASE 1. The simple linear regression model Y, = Bo + Bir; +;, &; " N(0, 0'), i = 1, ..., n, can also be written as a general linear model Y = XB+E, where Y = (Y1, . . .,...

solve these problems A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit transmitted, there is a 10% chance of a transmission error (a 0...

The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.6. Find the probability that less than three accidents will...

solve these problems The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout in Exercise 3 is X, - X2 Calculate the expected...

ANSI-SPARC6 Programming Language Compilation Write notes on each of the following topics: (a) the implementation of labels and jumps in a recursive, block structured programming language [7 marks]...

Kamei Company sells color television sets with a five-year repair warranty. The sale price for each set is P15,000. The average repair cost per set is P800. Research has shown that 20% of all sets...

Consider a version of the example (26)(32) in which we let the oscillators in the solid move in three dimensions. (a) Show that in the high temperature regime ( >> h) the vapor pressure is (b)...

The type of statement that returns a value from a function is the a . break statement b . if - else statement c . while statement d . return statement

The uniform rod of length L has a mass of m. If the couple moment M 0 is applied to its end, determine the internal normal force and shear force, and the bending moment in the rod as a function of x...

Define sampling error.

What is the difference between a distribution and a sampling distribution?

Magen, Dweck, and Gross (2008) asked participants to choose, for example, between $5 today or $7 next week. In one condition, the choices were phrased exactly that way. In a second condition, they...

1. Hiring of external auditors to review the adequacy of controls 2. Personnel policies 3. Safeguarding inventory in a locked warehouse Prepare journal entries for each of the following: a. Issued a...

Which of the following is an example of a temporary account that will be closed to Income Suminary at the end of the accounting period? O Service Revenue Accuumulated Depreciation Accounts Payable O...

2 > > A leading indicator is: Year-over-year metrics. O Poor performance metrics. Actual versus planned performance. O Prediction of future conditions