𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Two-sample sequential test of normal distributions when one of the sample sizes is fixed

✍ Scribed by S.C. Choi


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
361 KB
Volume
3
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


Sequential two-sample tests when the sample size for one of the two populations is fixed is discussed. Two tests. one for comparing the means and the other for comparing variances of two normal distributions, are presented together with the test boundaries. The numerical approach of determining the risk probabilities by integrating the conditional error probabilities with respect to the distributions of estimators is employed. The proposed tests appear to yield an appreciable advantage over the usual fixed sample size test in terms of the average total number of observations.


πŸ“œ SIMILAR VOLUMES


Estimation of a discriminant function fr
✍ M.A.W. Mahmoud; H.M. Moustafa πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 678 KB

A procedure is presented for finding maximum likelihood estimates of the parameters of a mixture of two gamma distributions; those results are given for classified and unclassified observations. The performance of the estimates based on small samples is studied by simulation experiments. Estimation

On the maximum total sample size of a gr
✍ James L. Kepner; Myron N. Chang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 105 KB

It is well known that the standard single-stage binomial test is uniformly most powerful to detect an increase or decrease in a binomial proportion. The general perception is that, to achieve a ΓΏxed signiΓΏcance level and power, a group sequential test will require a larger maximum total sample size