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Sains Malaysiana 45(10)(2016): 1573–1578 Power Divergence Statistics under Quasi
Independence Model for Square Contingency Tables (Statistik Pencapahan
Kuasa Model Kuasi Ketakbersandaraan untuk Jadual Kontingensi
Segi Empat
Sama) SERPIL AKTAŞ* Department of Statistics,
Hacettepe University, 06800 Beytepe, Ankara,Turkey Received: 10 May
2015/Accepted: 7 March 2016 ABSTRACT In incomplete contingency tables,
some cells may contain structural zeros. The quasi-independence
model, which is a generalization of the independence model,
is most commonly model used to analyze incomplete contingency
tables. Goodness of fit tests of the quasi-independence model
are usually based on Pearson chi square
test statistic and likelihood ratio test statistic. In power
divergence statistics family, the selection of power divergence
parameter is of interest in multivariate discrete data. In this
study, a simulation study is conducted to evaluate the performance
of the power divergence statistics under quasi independence
model for particular power divergence parameters in terms of
power values. Keywords: Power divergence
family; square contingency tables; structural zeros ABSTRAK Dalam jadual kontingensi
tidak lengkap,
sesetengah sel boleh mengandungi struktur sifar. Model kuasi ketakbersandaran
yang merupakan suatu
generalisasi daripada model ketakbersandaran adalah model yang
paling biasa digunakan
untuk menganalisis
jadual kontingensi yang tidak lengkap. Ujian kebagusan penyuaian model kuasi ketakbersandaran biasanya berdasarkan statistik ujian khi kuasa dua
Pearson dan ujian
statistik nisbah kebolehjadian. Dalam keluarga statistik
pencapahan kuasa, pemilihan parameter pencapahan kuasa adalah penting
dalam data diskret
multivariat. Dalam penyelidikan ini,
suatu kajian
simulasi dijalankan untuk menilai prestasi
statistik pencapahan kuasa di bawah parameter model kuasi ketakbersandaran untuk parameter pencapahan kuasa daripada segi nilai kuasa
tertentu. Kata kunci: Jadual
kontinjensi segi
empat sama;
kuasa keluarga
pencapahan; struktur sifar REFERENCES
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