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2013 | OriginalPaper | Buchkapitel

15. Model-Based Classification of Clustered Binary Data with Non-ignorable Missing Values

verfasst von : Francesco Lagona

Erschienen in: Advances in Theoretical and Applied Statistics

Verlag: Springer Berlin Heidelberg

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Abstract

A hierarchical logistic regression model with nested, discrete random effects is proposed for the unsupervised classification of clustered binary data with non-ignorable missing values. An E-M algorithm is proposed that essentially reduces to the iterative estimation of a set of weighted logistic regressions from two augmented datasets, alternated with weights updating. The proposed approach is exploited on a sample of Chinese older adults, to cluster subjects according to their cognitive impairment and ability to cope with a Mini-Mental State Examination questionnaire.

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Literatur
1.
Zurück zum Zitat Celeux, G., Martin, O., Lavergne, C.: Mixture of linear mixed models for clustering gene expression profiles from repeated microarray experiments. Stat. Model. 5, 243–267 (2005)MathSciNetMATHCrossRef Celeux, G., Martin, O., Lavergne, C.: Mixture of linear mixed models for clustering gene expression profiles from repeated microarray experiments. Stat. Model. 5, 243–267 (2005)MathSciNetMATHCrossRef
2.
Zurück zum Zitat Folstein, M.F., Folstein, S.E., McHugh, P.R.: Mini-mental state: a practical method for grading the cognitive state of patients for the clinician. J. Psychiat. Res. 12, 189–198 (1975)CrossRef Folstein, M.F., Folstein, S.E., McHugh, P.R.: Mini-mental state: a practical method for grading the cognitive state of patients for the clinician. J. Psychiat. Res. 12, 189–198 (1975)CrossRef
3.
4.
Zurück zum Zitat Gu, D., Qiu, L.: Cognitive functioning and its determinants among the oldest-old in China. J. Nanjing College Populat. Manag. 2, 3–9 (2003) Gu, D., Qiu, L.: Cognitive functioning and its determinants among the oldest-old in China. J. Nanjing College Populat. Manag. 2, 3–9 (2003)
5.
Zurück zum Zitat Herzog, A.R., Wallace, R.B.: Measures of cognitive functioning in the AHEAD Study. J. Gerontol. Psycol. Sci. Soc. Sci. B52, 37–48 (1997)CrossRef Herzog, A.R., Wallace, R.B.: Measures of cognitive functioning in the AHEAD Study. J. Gerontol. Psycol. Sci. Soc. Sci. B52, 37–48 (1997)CrossRef
6.
Zurück zum Zitat Hunt, L., Jorgensen, M.: Mixture model clustering for mixed data with missing information. Comput. Stat. Data Anal. 41, 429–440 (2003)MathSciNetCrossRef Hunt, L., Jorgensen, M.: Mixture model clustering for mixed data with missing information. Comput. Stat. Data Anal. 41, 429–440 (2003)MathSciNetCrossRef
7.
Zurück zum Zitat Ibrahim, J.G., Zhu, H., Tang, N.: Model selection criteria for missing-data problems using the EM algorithm. J. Am. Stat. Assoc. 103, 1648–1658 (2008)MathSciNetCrossRef Ibrahim, J.G., Zhu, H., Tang, N.: Model selection criteria for missing-data problems using the EM algorithm. J. Am. Stat. Assoc. 103, 1648–1658 (2008)MathSciNetCrossRef
8.
Zurück zum Zitat Lagona, F., Zhang, Z.: A missing composite covariate in survival analysis: a case study of the Chinese longitudinal health and longevity survey. Stat. Med. 29, 248–261 (2010)MathSciNet Lagona, F., Zhang, Z.: A missing composite covariate in survival analysis: a case study of the Chinese longitudinal health and longevity survey. Stat. Med. 29, 248–261 (2010)MathSciNet
9.
Zurück zum Zitat Lin, H., Liu, D., Zhou, X.-H.: Correlated random-effects model for normal longitudinal data with nonignorable missingness. Stat. Med. 29, 236–247 (2010)MathSciNet Lin, H., Liu, D., Zhou, X.-H.: Correlated random-effects model for normal longitudinal data with nonignorable missingness. Stat. Med. 29, 236–247 (2010)MathSciNet
10.
11.
Zurück zum Zitat Louis, T.A.: Finding the observed information matrix when using the EM algorithm. J. Roy. Stat. Soc. B, 44, 226–233 (1982)MathSciNetMATH Louis, T.A.: Finding the observed information matrix when using the EM algorithm. J. Roy. Stat. Soc. B, 44, 226–233 (1982)MathSciNetMATH
12.
Zurück zum Zitat McCullagh, C.E.: Generalized Linear Mixed Models. Institute of Mathematical Statistics, Beachwood (Ohio) (2003) McCullagh, C.E.: Generalized Linear Mixed Models. Institute of Mathematical Statistics, Beachwood (Ohio) (2003)
13.
Zurück zum Zitat Rubin, D.B.: Inference and missing data. Biometrika 63, 81–92 (1976)CrossRef Rubin, D.B.: Inference and missing data. Biometrika 63, 81–92 (1976)CrossRef
14.
15.
Zurück zum Zitat Zeng, Y., Vaupel, J.W.: Functional capacity and self-evaluation of health and life of oldest old in China. J. Soc. Issues 58, 733–748 (2002)CrossRef Zeng, Y., Vaupel, J.W.: Functional capacity and self-evaluation of health and life of oldest old in China. J. Soc. Issues 58, 733–748 (2002)CrossRef
16.
Zurück zum Zitat Zhang, Z.: Gender differentials in cognitive impairment and decline in the oldest old in China. J. Gerontol. Soc. Sci. B61, S107–S115 (2006)CrossRef Zhang, Z.: Gender differentials in cognitive impairment and decline in the oldest old in China. J. Gerontol. Soc. Sci. B61, S107–S115 (2006)CrossRef
17.
Zurück zum Zitat Zimmer, Z., Martin, L.G., Chang, M.-C.: Changes in functional limitation and survival among older Taiwanese, 1993, 1996, and 1999. Popul. Stud. 56, 265–276 (2002)CrossRef Zimmer, Z., Martin, L.G., Chang, M.-C.: Changes in functional limitation and survival among older Taiwanese, 1993, 1996, and 1999. Popul. Stud. 56, 265–276 (2002)CrossRef
Metadaten
Titel
Model-Based Classification of Clustered Binary Data with Non-ignorable Missing Values
verfasst von
Francesco Lagona
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-35588-2_15