A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio
This paper continues work presented in Böhning et al. (2002b, Annals of the Institute of Statistical Mathematics 54, 827-839, henceforth BMSRB) where a class of non-iterative estimators of the variance of the heterogeneity distribution for the standardized mortality ratio was discussed. Here, these...
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th-mahidol.212952018-07-24T10:56:09Z A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio Dankmar Böhning Jesus Sarol Sasivimol Rattanasiri Chukiat Viwatwongkasem Annibale Biggeri Freie Universitat Berlin University of the Philippines Manila Mahidol University Universita degli Studi di Firenze Decision Sciences Mathematics Medicine This paper continues work presented in Böhning et al. (2002b, Annals of the Institute of Statistical Mathematics 54, 827-839, henceforth BMSRB) where a class of non-iterative estimators of the variance of the heterogeneity distribution for the standardized mortality ratio was discussed. Here, these estimators are further investigated by means of a simulation study. In addition, iterative estimators including the Clayton-Kaldor procedure as well as the pseudo-maximum-likelihood (PML) approach are added in the comparison. Among all candidates, the PML estimator often has the smallest mean square error, followed by the non-iterative estimator where the weights are proportional to the external expected counts. This confirms the theoretical result in BMSRB in which an asymptotic efficiency could be proved for this estimator (in the class of non-iterative estimators considered). Surprisingly, the Clayton-Kaldor iterative estimator (often recommended and used by practitioners) performed poorly with respect to the MSE. Given the widespread use of these estimators in disease mapping, medical surveillance, meta-analysis and other areas of public health, the results of this study might be of considerable interest. © Oxford University Press (2004); all rights reserved. 2018-07-24T03:40:54Z 2018-07-24T03:40:54Z 2004-01-01 Article Biostatistics. Vol.5, No.1 (2004), 61-74 10.1093/biostatistics/5.1.61 14654644 2-s2.0-4444283875 https://repository.li.mahidol.ac.th/handle/123456789/21295 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=4444283875&origin=inward |
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Decision Sciences Mathematics Medicine Dankmar Böhning Jesus Sarol Sasivimol Rattanasiri Chukiat Viwatwongkasem Annibale Biggeri A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
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This paper continues work presented in Böhning et al. (2002b, Annals of the Institute of Statistical Mathematics 54, 827-839, henceforth BMSRB) where a class of non-iterative estimators of the variance of the heterogeneity distribution for the standardized mortality ratio was discussed. Here, these estimators are further investigated by means of a simulation study. In addition, iterative estimators including the Clayton-Kaldor procedure as well as the pseudo-maximum-likelihood (PML) approach are added in the comparison. Among all candidates, the PML estimator often has the smallest mean square error, followed by the non-iterative estimator where the weights are proportional to the external expected counts. This confirms the theoretical result in BMSRB in which an asymptotic efficiency could be proved for this estimator (in the class of non-iterative estimators considered). Surprisingly, the Clayton-Kaldor iterative estimator (often recommended and used by practitioners) performed poorly with respect to the MSE. Given the widespread use of these estimators in disease mapping, medical surveillance, meta-analysis and other areas of public health, the results of this study might be of considerable interest. © Oxford University Press (2004); all rights reserved. |
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Freie Universitat Berlin |
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Freie Universitat Berlin Dankmar Böhning Jesus Sarol Sasivimol Rattanasiri Chukiat Viwatwongkasem Annibale Biggeri |
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Article |
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Dankmar Böhning Jesus Sarol Sasivimol Rattanasiri Chukiat Viwatwongkasem Annibale Biggeri |
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Dankmar Böhning |
title |
A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
title_short |
A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
title_full |
A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
title_fullStr |
A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
title_full_unstemmed |
A comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
title_sort |
comparison of non-iterative and iterative estimators of heterogeneity variance for the standardized mortality ratio |
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2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/21295 |
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1763489776635215872 |