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Journal of the American Statistical Association Volume 84, 1989 - Issue 405
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Theory and Method

Power Approximations to Multinomial Tests of Fit

F. C. Drost Econometric Institute, University of Tilburg, the Netherlands
,
W. C. M. Kallenberg Faculty of Applied Mathematics, University of Twente, Enschede, the Netherlands
,
D. S. Moore Department of Statistics, Purdue University, West Lafayette, IN, 47907, USA
&
J. Oosterhoff Department of Mathematics and Computer Science, Free University, Amsterdam, the Netherlands
Pages 130-141 | Received 01 Jul 1987, Published online: 12 Mar 2012

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Nobuhiro Taneichi, Yuri Sekiya, Akio Suzukawa & Hideyuki Imai. (2002) A FORMULA FOR NORMALIZING TRANSFORMATION OF SOME STATISTICS. Communications in Statistics - Theory and Methods 31:2, pages 163-179.
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MiguelA. García-Pérez & Vicente Núñez-Antón. (2001) Small-sample comparisons for powerdivergence goodness-of-fit statistics for symmetric and skewed simple null hypotheses. Journal of Applied Statistics 28:7, pages 855-874.
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Nobuhiro Taneichi, Yuri Sekiya & Hideyuki Imai. (1998) A power approximation of the test of homogeneity for multinomial populations based on a normalizing transformation. Communications in Statistics - Theory and Methods 27:7, pages 1677-1691.
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Chu-In Charles Lee & Shi-Yun Shen. (1994) Convergence rates and powers of six power-divergence statistics for testing independence in 2 by 2 contingency table. Communications in Statistics - Theory and Methods 23:7, pages 2113-2126.
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Qiansheng Zhu & Joseph B. Lang. (2022) Test-inversion confidence intervals for estimands in contingency tables subject to equality constraints. Computational Statistics & Data Analysis 169, pages 107413.
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Tomer Ashur, Mohsin Khan & Kaisa Nyberg. (2022) Structural and Statistical Analysis of Multidimensional Linear Approximations of Random Functions and Permutations. IEEE Transactions on Information Theory 68:2, pages 1296-1315.
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Yadu Gautam, Sudhir Ghandikota, Siqi Chen & Tesfaye B. Mersha. (2019) PAMAM: Power analysis in multiancestry admixture mapping. Genetic Epidemiology 43:7, pages 831-843.
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Kaisa Nyberg. (2018) Affine linear cryptanalysis. Cryptography and Communications 11:3, pages 367-377.
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Miia Hermelin, Joo Yeon Cho & Kaisa Nyberg. (2018) Multidimensional Linear Cryptanalysis. Journal of Cryptology 32:1, pages 1-34.
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Mathieu Emily & Chloé Friguet. (2016) Power evaluation of asymptotic tests for comparing two binomial proportions to detect direct and indirect association in large-scale studies. Statistical Methods in Medical Research 26:6, pages 2780-2799.
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Bin Zhang, Lin Jiao & Mingsheng Wang. 2016. Advances in Cryptology – EUROCRYPT 2016. Advances in Cryptology – EUROCRYPT 2016 168 195 .
. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Pan Ei Htwe, Nobuhiro Taneichi & Yuri Sekiya. (2012) Improved Approximations for the Distributions of Multinomial Goodness-of-fit Statistics Based on φ-divergence under Nonlocal Alternatives. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 41:2, pages 121-142.
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Tarn Duong, Inge Koch & M. P. Wand. (2009) Highest Density Difference Region Estimation with Application to Flow Cytometric Data. Biometrical Journal 51:3, pages 504-521.
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J. C. W. Rayner, O. Thas & D. J. Best. 2009. Smooth Tests of Goodness of Fit. Smooth Tests of Goodness of Fit 259 268 .
Miia Hermelin, Joo Yeon Cho & Kaisa Nyberg. 2009. Fast Software Encryption. Fast Software Encryption 209 227 .
Isola Ajiferuke, Dietmar Wolfram & Felix Famoye. (2016) Sample size and informetric model goodness-of-fit outcomes: a search engine log case study. Journal of Information Science 32:3, pages 212-222.
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. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Yuri Sekiya & Nobuhiro Taneichi. (2004) Improvement of approximations for the distributions of multinomial goodness-of-fit statistics under nonlocal alternatives. Journal of Multivariate Analysis 91:2, pages 199-223.
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. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Nobuhiro Taneichi, Yuri Sekiya & Akio Suzukawa. (2002) Asymptotic Approximations for the Distributions of the Multinomial Goodness-of-Fit Statistics under Local Alternatives. Journal of Multivariate Analysis 81:2, pages 335-359.
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Nobuhiro Taneichi, Yuri Sekiya & Akio Suzukawa. (2001) AN ASYMPTOTIC APPROXIMATION FOR THE DISTRIBUTION OF ^|^phi;-DIVERGENCE MULTINOMIAL GOODNESS-OF-FIT STATISTIC UNDER LOCAL ALTERNATIVES. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 31:2, pages 207-224.
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Yuri Sekiya, Nobuhiro Taneichi & Hideyuki Imai. (1999) A POWER APPROXIMATION FOR THE MULTINOMIAL GOODNESS-OF-FIT TEST BASED ON A NORMALIZING TRANSFORMATION. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 29:1, pages 79-87.
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Yuri Sekiya, Nobuhiro Taneichi & Hideyuki Imai. (1998) A POWER APPROXIMATION OF THE TEST OF INDEPENDENCE IN s^|^times;r CONTINGENCY TABLES BASED ON A NORMALIZING TRANSFORMATION. Journal of the Japanese Society of Computational Statistics 11:1, pages 65-77.
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Nobuhiro Taneichi & Yuri Sekiya. (1995) POWER APPROXIMATIONS OF THE TEST OF HOMOGENEITY FOR MULTINOMIAL POPULATIONS. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 25:1, pages 97-109.
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F. C. Drost, W. C. M. Kallenberg, D. S. Moore & J. Oosterhoff. 1989. Contributions to Probability and Statistics. Contributions to Probability and Statistics 429 446 .

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