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Let b be an estimator for β in the model for GVFs in (9.13). Let B=ty / tx and Ḡ=ṫy / ṫx. Suppose that Ḡand ṫx are independent. a. Using the model in (9.13) and the result in

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
Let b be an estimator for β in the model

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 á¹¼ (Ḃ) = b Ḃ (1 ˆ’ Ḃ)/ˆtx and that á¹¼ (Ḃ) = á¹¼ (1 ˆ’ Ḃ).

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Sampling Design and Analysis

Sampling Design and Analysis

ISBN: 978-0495105275

2nd edition

Authors: Sharon L. Lohr

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Posted Date: November 27, 2015 01:55:44
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