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http://dx.doi.org/10.7465/jkdi.2012.23.6.1279

A note on the sample size determination of sequential and multistage procedures  

Choi, Kiheon (Department of Information and Statistics, Duksung Women's University)
Publication Information
Journal of the Korean Data and Information Science Society / v.23, no.6, 2012 , pp. 1279-1287 More about this Journal
Abstract
We particularly emphasized how to determine the number of replications with sequential and multistage procedures. So, the t-test is used to achieve some predetermined level of accuracy efficiently with loss function in the case of normal, chi-squared, an exponential distributions. We provided that the relevance of procedures are sequential procedure, two-stage procedure, modified two-stage procedure, three-stage procedure and accelerated sequential procedure. Monte Carlo simulation is carried out to obtain the stopping sample size that minimizes the risk.
Keywords
Accelerated sequential procedure; modified two-stage procedure; sequential procedure; three-stage procedure; two-stage procedure;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Choi, K. (2008). Two-stage procedure with lower bound variance based on bootstrap. Journal of the Korean Data & Information Science Society, 19, 657-666.
2 Choi, K. (2009). Minimum risk point estimation of two-stage procedure for mean. Journal of the Korean Data & Information Science Society, 20, 887-894.   과학기술학회마을
3 Chow, T. S. and Robbins, H. (1965). On the asymptotic theory of xed width sequential con dence intervals for the mean. The Annals of Mathematical Statistics, 36, 457-462.   DOI
4 Ghosh, M. and Mukhopadhay, N. (1981). Consistency and asymptotic eciency of two-stage and sequential estimation procedure. Sankya A, 43, 220-227.
5 Ghosh, M., Mukhopadhay, N. and Sen, P. K. (1997). Sequential estimation, John Wiley, New York.
6 Hall, P. (1981). Asymptotic theory of triple sampling for estimation of a mean. Annals of Statistics, 9, 1229-1238.   DOI
7 Hall, P. (1983). Sequential estimation saving sampling operations. Journal of the Royal Statistical Society B, 45, 219-223.
8 Hamdy, H. I., Mukhopadhyay, N., Costanza, M. C. and Son, M. S. (1988), Triple stage point estimation for exponential location parameter. Annals of the Institute of Statistical Mathematics, 40, 785-797.   DOI
9 Mukhopadhyay, N. (1980), A consistent and asymptotically ecient two-stage procedure to construct fixed-width con dence intervals for the mean. Metrika, 27, 281-284.   DOI
10 Mukhopadhyay, N. (1985), A note on three-stage and sequential point estimation procedures for a normal mean. Sequential Analysis, 4, 311-319.   DOI   ScienceOn
11 Mukhopadhyay, N. Datta, S. and Chattopadhyay S. (2004), Applied sequential methodologies, Marcel Dekker, New York.
12 Stein, C. (1945), A two sample test for a linear hypothesis whose power is independent of the variance. The Annals of Mathematical Statistics, 16, 243-258.   DOI