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Allocation in Multi-way Stratification by Linear Programing
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 Title & Authors
Allocation in Multi-way Stratification by Linear Programing
NamKung, Pyong; Choi, Jae-Hyuk;
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Winkler (1990, 2001), Sitter and Skinner (1994), Wilson and Sitter (2002) present a method which applies linear programing to designing surveys with multi-way stratification, primarily in situation where the desired sample size is less than or only slightly larger than the total number of stratification cells. A comparison is made with existing methods both by illustrating the sampling schemes generated for specific examples, by evaluating sample mean, variance estimation, and mean squared errors, and by simulating sample mean for all methods. The computations required can, however, increase rapidly as the number of cells in the multi-way classification increase. In this article their approach is applied to multi-way stratification using real data.
Linear programing;Iterative Proportional Fitting(IPF);Generalized Iterative Fitting Procedure(GIFP);
 Cited by
Sitter, R.R. and Skinner, C.J. (1994). Multi-way Stratification by Linear Programing. Survey Methodology. Vol. 20, 65-73

Dykstra, R.L. (1985). An Iterative Procedure for Obtaining I-Projections onto the Intersection of Convex Sets. The Annals of Probability. Vol. 13, 975-984 crossref(new window)

Winkler, W.E. (1987). An Application of Multi-purpose Survey Sampling. American Statistical Association, Proceeding of the Section on Survey Research Methods

Winkler, W.E. (1990). On Dykstra's Iterative Fitting Procedure. The Annals of Probability. Vol. 18, 1410-1416 crossref(new window)

Winkler, W.E. (2001). Multi-way Survey Stratification and Sampling. Us. Bureau of the Census, Statistical Research Division Report

Wilson, L. and Sitter, R.R. (2002). Multi-way Stratification by Linear Programming Made Practical. Survey Methodology. Vol. 28, 199-207