A POWER APPROXIMATION FOR THE MULTINOMIAL GOODNESS-OF-FIT TEST BASED ON A NORMALIZING TRANSFORMATION
Cressie and Read(1984)introduced the class of multinomial goodness-of-fit statistics, Ra, based on measures of the divergence between discrete distributions. All Ra have the same chi-squared limiting null distribution. The power of Ra is usually approximated by a noncentral chi-squared distribution...
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| Veröffentlicht in: | JOURNAL OF THE JAPAN STATISTICAL SOCIETY 1999, Vol.29(1), pp.79-87 |
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| creator | Sekiya, Yuri Taneichi, Nobuhiro Imai, Hideyuki |
| description | Cressie and Read(1984)introduced the class of multinomial goodness-of-fit statistics, Ra, based on measures of the divergence between discrete distributions. All Ra have the same chi-squared limiting null distribution. The power of Ra is usually approximated by a noncentral chi-squared distribution that is also the same for all a. In this paper, we propose a new approximation of the power of Ra. The new power approximation, NT, is a normal approximation based on a normalizing transformation. The NT approximation is numerically compared with the other approximations. As a result of the comparison, we find that the NT approximation is superior to the other approximations when a=0(the loglikelihood ratio statistic)and is effective when a |
| doi_str_mv | 10.14490/jjss1995.29.79 |
| format | Article |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese |
| subjects | goodness of fit multinomial distribution normalizing transformation |
| title | A POWER APPROXIMATION FOR THE MULTINOMIAL GOODNESS-OF-FIT TEST BASED ON A NORMALIZING TRANSFORMATION |
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