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The index of dispersion Avelino, Edgar G.
Abstract
The index of dispersion is a statistic commonly used to detect departures from randomness of count data. Under the hypothesis of randomness, the true distribution of this statistic is unknown. The accuracy of large sample approximations is assessed by a Monte Carlo simulation. Further approximations by Pearson curves and infinite series expansions are investigated. Finally, the powers of the individual tests based on the likelihood ratio, the index of dispersion and Pearson's goodness-of-fit statistic are compared.
Item Metadata
Title |
The index of dispersion
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1984
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Description |
The index of dispersion is a statistic commonly used to detect departures from randomness of count data. Under the hypothesis of randomness, the true distribution of this statistic is unknown. The accuracy of large sample approximations is assessed by a Monte Carlo simulation. Further approximations by Pearson curves and infinite series expansions are investigated. Finally, the powers of the individual tests based on the likelihood ratio, the index of dispersion and Pearson's goodness-of-fit statistic are compared.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-05-09
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0095978
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.