A Separable Programming Approach To Optimum Allocation In Multivariate Response Errors

Journal Name:

Publication Year:

Abstract (Original Language): 
One of the areas of statistics that is most commonly used in all fields of scientific investigation is that of probabilistic sampling. Obtaining good results in agricultural, biological and social research depends on successful, well-implemented adequate sampling plans. In this paper, we examine the problem of optimum allocation when dealing with response errors. The problem is formulated as a non linear programming problem with linear constraints and when non linearity occurs in the objective function. A solution procedure is developed using separable programming technique.



Bethel, J. (1985). An optimum allocation algorithm
for multivariate survey ,Proceedings of the Survey
Research Section, Amer. Stat. Assoc., 204-212.
Bethel, J. (1989). Sample allocation in multivariate
surveys. Survey methodology, 15(1), 47-57.
Chatterjee, S.(1968). Multivariate stratified surveys.
Jour. Amer.Stat. Assoc.,63,530-534.
Chromy, J.R. (1987). Design optimization with
multiple objectives. Proceedings of the survey
research section, Amer.Stat.Assoc, 194-199.
Hadley, G. (1964). Non-linear and dynamic
programming. Addison-Wisely, Reading, Mass.
Hansen, M.H. and Hurwitz, W.N. (1946). The
problem of non- response in sampling surveys. Jour.
Amer. Stat. Assoc., 41, 517-529.
Kokan, A.R. and Khan, S.U. (1967). Optimum
allocation in multivariate surveys: an analytical
solution. Jour. Roy Stat. Soc., B, 29, 115-125.
Neyman, J. (1934). On the two different aspects of
representative method; The method of stratified
sampling and the method of purposive selection.
Jour. Roy. Stat. Soc., 97, 558-606.
S. Maqbool (2001). Optimization techniques in
sample surveys. Ph. D thesis submitted to Aligarh
Muslim University, Aligarh. India.
Jose A Diaz and Liliana Ulloa (2008). Multiobjective
optimization for optimum allocation in multivariate
stratified sampling. Survey Methodology, vol.

Thank you for copying data from http://www.arastirmax.com