5_SRS_estimation

5_SRS_estimation - SRS: Estimation Lecture 5 STAT 651:...

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Unformatted text preview: SRS: Estimation Lecture 5 STAT 651: Survey Sampling Methods, Kaizar – p.1/24 Lecture 5: SRS Estimation Reading: Lohr Chapter 2, sections 2.2-2.6, 2.8, 2.10 Set-up/Notation Estimands Estimates Expected Value of Estimates Variance of Estimates Confidence Intervals Sample Size Estimation What is Random? STAT 651: Survey Sampling Methods, Kaizar – p.2/24 Even More Notation Unit number indexed by i Characteristics denoted by small lower case letters Unit 1 2 . . . N Characteristic x 1 x 2 . . . x N Characteristic y 1 y 2 . . . y N Characteristic z 1 z 2 . . . z N STAT 651: Survey Sampling Methods, Kaizar – p.3/24 Example Three coins: Unit Name Penny Nickel Quarter Unit index 1 2 3 X = Value x 1 = x 2 = x 3 = Y = Age (years) y 1 = y 2 = y 3 = Z = Silver-Colored z 1 = z 2 = z 3 = Z is called a dummy variable. STAT 651: Survey Sampling Methods, Kaizar – p.4/24 Dummy Variables Let: let Z = braceleftBigg 1 if “Yes" (silver-colored) if “No" (not silver-colored) Equivalently: let Z = braceleftBigg if “Yes" (silver-colored) 1 if “No" (not silver-colored) STAT 651: Survey Sampling Methods, Kaizar – p.5/24 Estimands Estimands are population values that we would like to estimate Average/Mean = ¯ y U = 1 N ∑ N i =1 y i Total = t = ∑ N i =1 x i = N ¯ x...
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This note was uploaded on 07/26/2011 for the course STA 651 taught by Professor Kaizar during the Winter '11 term at Ohio State.

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5_SRS_estimation - SRS: Estimation Lecture 5 STAT 651:...

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