Lesson 3 Unequal Probability Sampling STAT 506 - Sampling Theory and Methods

# Lesson 3 Unequal Probability Sampling STAT 506 - Sampling Theory and Methods

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STAT 506 - Sampling Theory and Methods ANGEL Department of Statistics Eberly College of Science Home Lesson 3: Unequal Probability Sampling Submitted by gfj100 on Tue, 12/01/2009 - 09:35 Reading assignment for Lesson 3: Ch. 6.1, 6.2, 6.4 of Sampling by Steven Thompson, 2nd edition. This lesson starts with the rationale for using unequal probability sampling in section 3.1. We then discuss in section 3.2 the Hansen-Hurwitz estimator which may be used when the sampling is with replacement. In section 3.3, we introduce the Horvitz-Thompson estimator which can be used when the sampling is with or without replacement. In section 4, a small population example is used to illustrate some properties of these two estimators. Through this example, one can see that both estimators are unbiased. Lesson 3 Objectives Upon successful completion of this lesson, you will be able to: know why and when to use unequal probability sampling, how to perform unequal probability sampling,

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