Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average
In this paper, the design constant is determined based on a criterion of probability of correct detection for a given deviation of <i>k</i> location parameters from the average being at least γ for the two-stage multiple comparisons for location parameters of exponential distributions wh...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/2/441 |
| _version_ | 1797439030401433600 |
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| author | Shu-Fei Wu |
| author_facet | Shu-Fei Wu |
| author_sort | Shu-Fei Wu |
| collection | DOAJ |
| description | In this paper, the design constant is determined based on a criterion of probability of correct detection for a given deviation of <i>k</i> location parameters from the average being at least γ for the two-stage multiple comparisons for location parameters of exponential distributions when scale parameters are unequal. All required values for determining the design constant and then the total sample size for a two-stage procedure are listed in tables for practical use. For illustrative purposes, two examples are given to demonstrate the sample size determination for this two-stage procedure. |
| first_indexed | 2024-03-09T11:45:56Z |
| format | Article |
| id | doaj.art-deac04aceb604c438a535cb1698c2cb0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:45:56Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-deac04aceb604c438a535cb1698c2cb02023-11-30T23:22:16ZengMDPI AGMathematics2227-73902023-01-0111244110.3390/math11020441Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the AverageShu-Fei Wu0Department of Statistics, Tamkang University, Tamsui, Taipei 251301, TaiwanIn this paper, the design constant is determined based on a criterion of probability of correct detection for a given deviation of <i>k</i> location parameters from the average being at least γ for the two-stage multiple comparisons for location parameters of exponential distributions when scale parameters are unequal. All required values for determining the design constant and then the total sample size for a two-stage procedure are listed in tables for practical use. For illustrative purposes, two examples are given to demonstrate the sample size determination for this two-stage procedure.https://www.mdpi.com/2227-7390/11/2/441two-stage proceduremultiple comparisons with the averageexponential distribution |
| spellingShingle | Shu-Fei Wu Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average Mathematics two-stage procedure multiple comparisons with the average exponential distribution |
| title | Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average |
| title_full | Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average |
| title_fullStr | Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average |
| title_full_unstemmed | Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average |
| title_short | Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average |
| title_sort | sample size determination for two stage multiple comparisons for exponential location parameters with the average |
| topic | two-stage procedure multiple comparisons with the average exponential distribution |
| url | https://www.mdpi.com/2227-7390/11/2/441 |
| work_keys_str_mv | AT shufeiwu samplesizedeterminationfortwostagemultiplecomparisonsforexponentiallocationparameterswiththeaverage |