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Activity Number: 41 - Advances in Sampling Techniques and Tools
Type: Contributed
Date/Time: Sunday, July 29, 2018 : 2:00 PM to 3:50 PM
Sponsor: Survey Research Methods Section
Abstract #327202
Title: Ratio of Vector Lengths as an Indicator of Sample Representativeness for a Multipurpose Survey
Author(s): Hee-Choon Shin*
Companies: CDC/NCHS
Keywords: Sampling; Representative Sample; Vector; Subspace; Vector Length
Abstract:

The main objective of sampling is to obtain a representative sample for an unbiased and efficient estimate within a budget constraint. The current paper is to develop a new measure of representativeness of a sample for a multipurpose survey. A population characteristics or measures of N population elements could be interpreted as a vector on N-dimensional space. The sample representativeness can be measured as a ratio of the weighted length of a sample vector to the length of the population vector (Shin, 2016). Most of large-scale surveys are multipurpose (Kish, 1988). That is, there are many items of interest (Y's) in a single survey. The best index for a particular item may not be the best for the other items. In this paper, an index of sample representativeness for a multipurpose survey will be explored considering the angles between the variables of interest on the n-dimensional subspace as an extension of the index for a single variable of interest. Simulation results using 2016 National Health Interview Survey public use file will be presented to show the effectiveness of the index.


Authors who are presenting talks have a * after their name.

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