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314993

Prediction Limits And β-Expectation Tolerance Limits for the One-Way Random Effects Model

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Last updated: 05 Jan 2025

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Abstract

In this article, prediction limits for the balanced random one-way model are discussed. They are shown to be equivalent to the β-expectation tolerance limits. Both limits are compared using Monte Carlo simulations. This study shows that, while both limits have similar coverage probabilities, tolerance limits have smaller estimated mean lengths. An example is given to illustrate both types of inference.

DOI

10.21608/esju.1991.314993

Keywords

Behrens-Fisher Problem, Satterthwaite Approximation, Tolerance Intervals, Statistical Inference

Authors

First Name

M.M.

Last Name

Limam

MiddleName

T.

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Volume

35

Article Issue

1

Related Issue

43184

Issue Date

1991-06-01

Receive Date

2023-08-28

Publish Date

1991-06-01

Page Start

54

Page End

63

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314993.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314993

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Prediction Limits And β-Expectation Tolerance Limits for the One-Way Random Effects Model

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Article

Created At

28 Dec 2024