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On the choice of the number of class...
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Zhou, Wei.
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On the choice of the number of classes in the Chi-squared goodness-of-fit test.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
On the choice of the number of classes in the Chi-squared goodness-of-fit test./
Author:
Zhou, Wei.
Description:
104 p.
Notes:
Source: Masters Abstracts International, Volume: 46-04, page: 2147.
Contained By:
Masters Abstracts International46-04.
Subject:
Statistics. -
ISBN:
9780494360170
On the choice of the number of classes in the Chi-squared goodness-of-fit test.
Zhou, Wei.
On the choice of the number of classes in the Chi-squared goodness-of-fit test.
- 104 p.
Source: Masters Abstracts International, Volume: 46-04, page: 2147.
Thesis (M.S.)--University of Manitoba (Canada), 2007.
Key words: chi-squared test, goodness-of-fit, Monte Carlo simulation.
ISBN: 9780494360170Subjects--Topical Terms:
517247
Statistics.
On the choice of the number of classes in the Chi-squared goodness-of-fit test.
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Zhou, Wei.
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On the choice of the number of classes in the Chi-squared goodness-of-fit test.
300
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104 p.
500
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Source: Masters Abstracts International, Volume: 46-04, page: 2147.
502
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Thesis (M.S.)--University of Manitoba (Canada), 2007.
520
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Key words: chi-squared test, goodness-of-fit, Monte Carlo simulation.
520
$a
When applying Chi-squared goodness-of-fit test on a continuous distribution, one controversial question is how to group the data and then how many classes are used. In this thesis, we are investigating the most appropriate number of classes under the grouping method of "equiprobability intervals" by computer intensive Monte Carlo simulation. For continuous distribution with location and scale parameters, we examined the patterns of the power of test against the various numbers of classes when testing null hypothesis against a general alternative hypothesis in two cases, either on a specified distribution with known parameters, or on a family of distributions with unknown parameters. Finally we concluded the most appropriate number of classes as expressed in empirical formulae for the above two cases respectively. Even if a continuous distribution is not from the distribution family with location and scale parameters, the empirical formulae are applicable.
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School code: 0303.
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Statistics.
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517247
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University of Manitoba (Canada).
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46-04.
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M.S.
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2007
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