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313843

Adaptive Interval Estimation of the Mean in Unbalanced One-Way Random Effects Models

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Last updated: 28 Dec 2024

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Abstract

A two-stage sequential procedure is introduced to control the width and coverage (validity) of confidence intervals for the estimation of the mean in unbalanced one-way random effects models. The procedure uses unbalanced pilot sample data to estimate an "optimal" group size and then proceeds to determine the number of groups by a stopping rule. Several asymptotic results concerning the proposed procedure are given along with simulation results to assess its performance in moderate sample size situations, under varying degrees of imbalance. The proposed procedure was found to effectively control the width and probability of coverage of the resulting confidence intervals in all cases. The procedure is illustrated using a real data set.

DOI

10.21608/esju.2007.313843

Keywords

Confidence intervals, Harmonic Mean Method, Sequential Estimation, Stopping Time, two, Stage Sequential Sampling, Validity Of Confidence Intervals

Volume

51

Article Issue

2

Related Issue

42973

Issue Date

2007-12-01

Publish Date

2007-12-01

Page Start

126

Page End

134

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313843.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313843

Order

7

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Adaptive Interval Estimation of the Mean in Unbalanced One-Way Random Effects Models

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Type

Article

Created At

28 Dec 2024