๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Fixed-width confidence intervals for contrasts in the means

โœ Scribed by Ajit Chaturvedi; N. D. Shukla; Pramod S. Shukla

Publisher
Springer Japan
Year
1992
Tongue
English
Weight
510 KB
Volume
44
Category
Article
ISSN
0020-3157

No coin nor oath required. For personal study only.

โœฆ Synopsis

The sequential procedure developed by Bhargava and Srivastava (1973, J. Roy. Statist. Soc. Set. B, 35, 147-152) to construct fixed-width confidence intervals for contrasts in the means is further analyzed. Second-order approximations for the first two moments of the stopping time and the coverage probability associated with the sequential procedure, are obtained. A lower bound for the number of "additional" observations after stopping is derived, which ensures the "exact" probability of coverage. Moreover, two-stage, three-stage and "modified" sequential procedures are proposed for the same estimation problem. Relative advantages and disadvantages of these sampling schemes are discussed and their properties are studied.

๐Ÿ“œ SIMILAR VOLUMES

Fixed-Width Simultaneous Confidence Inte
Fixed-Width Simultaneous Confidence Intervals for Multinormal Means in Several Intraclass Correlation Models
โœ Makoto Aoshima; Nitis Mukhopadhyay ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 316 KB

The problem of constructing fixed-width simultaneous confidence intervals for comparing mean vectors of k( 2) independent multivariate normal distributions is considered when those covariance matrices have the intraclass correlation structures. Two-stage procedures are developed for which the simult