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4.2 Selecting Sample Size and Small Population Example for Ratio Estimate STAT 506 - Sampling Th

# 4.2 Selecting Sample Size and Small Population Example for Ratio Estimate STAT 506 - Sampling Th

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STAT 506 - Sampling Theory and Methods ANGEL Department of Statistics Eberly College of Science Home // Lesson 4: Auxiliary Data and Ratio Estimation 4.2 Selecting Sample Size and Small Population Example for Ratio Estimate Submitted by gfj100 on Tue, 12/01/2009 - 09:43 Unit Summary Ratio Estimate for the average number of trees Sample size computation for ratio estimate When is it advantageous to use versus ? Small population example to show: 1. the small bias of , and 2. that has a smaller MSE when applied correctly. Example 2 : To estimate the average number of trees per acre on a 1000- acre plantation (See p. 196 of Scheaffer, Mendenhall and Ott) The investigator samples 10 one-acre plots by simple random sampling and counts the number of trees ( y ) on each plot. She also has aerial photographs of the plantation from which she can estimate the number of trees ( x ) on each plot of the entire plantation. Hence, she knows μ x = 19.7 and since the two counts are

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4.2 Selecting Sample Size and Small Population Example for Ratio Estimate STAT 506 - Sampling Th

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