Activity Number:

364

Type:

Contributed

Date/Time:

Tuesday, August 2, 2016 : 10:30 AM to 12:20 PM

Sponsor:

Survey Research Methods Section

Abstract #319046

View Presentation

Title:

Ratio of Vector Lengths as an Indicator of Sample Representativeness

Author(s):

HeeChoon Shin*

Companies:

CDC/NCHS

Keywords:

Sampling ;
Bias ;
Efficiency ;
Representativeness

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. A population characteristics or measures of N population elements could be interpreted as a vector on Ndimensional space. Similarly, a sample characteristics or measures of n sample elements could be interpreted as a vector on ndimensional subspace, imbedded in Ndimensional space. The length of a population vector is defined as the square root of the sum of squares of N components. The length of a sample vector is the square root of the sum of squares of n components. A weighted length of a sample vector could be obtained by weighting the sum of squares of n components with sampling weights. We can measure the sample representativeness by comparing the weighted length of a sample vector with the length of the population vector. Simulation study will be conducted to demonstrate the effectiveness of the measure for sample representativeness.

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