Misclassified multinomial data: a Bayesian approach

En este articulo se trata el problema de la inferencia con datos multinomiales imperfectos. Durante los ultimos anos ha habido un resurgimiento del interes en el desarrollo de metodos bayesianos para hacer inferencias con datos imperfectos. El analisis Bayesiano se ha convertido en una herramienta fundamental en este contexto debido al gran numero de aplicaciones existentes para diversos tipos de muestreo y a la importancia de incorporar informacion a priori. Se presenta una revision de la literatura existente seguida de una discusion metodologica con ejemplos.

[1]  A. Tenenbein A Double Sampling Scheme for Estimating from Binomial Data with Misclassifications , 1970 .

[2]  A. Tenenbein A Double Sampling Scheme for Estimating from Binomial Data with Misclassifications: Sample size Determination , 1971 .

[3]  A. Tenenbein A Double Sampling Scheme for Estimating from Misclassified Multinomial Data with Applications to Sampling Inspection , 1972 .

[4]  J. Fleiss Statistical methods for rates and proportions , 1974 .

[5]  D. Lindley,et al.  Inference for a Bernoulli Process (a Bayesian View) , 1976 .

[6]  Yosef Hochberg,et al.  On the Use of Double Sampling Schemes in Analyzing Categorical Data with Misclassification Errors , 1977 .

[7]  M. Degroot,et al.  Bayesian Statistics 2. , 1987 .

[8]  W. Wong,et al.  The calculation of posterior distributions by data augmentation , 1987 .

[9]  S D Walter,et al.  Estimation of test error rates, disease prevalence and relative risk from misclassified data: a review. , 1988, Journal of clinical epidemiology.

[10]  T T Chen A review of methods for misclassified categorical data in epidemiology. , 1989, Statistics in medicine.

[11]  Zhi Geng,et al.  Bayesian estimation methods for categorical data with misclassifications , 1989 .

[12]  Douglas G. Altman,et al.  Practical statistics for medical research , 1990 .

[13]  Joseph L. Gastwirth,et al.  Bayesian Inference for Medical Screening Tests: Approximations Useful for the Analysis of Acquired Immune Deficiency Syndrome , 1991 .

[14]  Prem K. Goel,et al.  Bayesian Analysis in Statistics and Econometrics , 1992 .

[15]  Anil Gaba Inferences with an unknown noise level in a Bernoulli process , 1993 .

[16]  M A Viana,et al.  Bayesian small-sample estimation of misclassified multinomial data. , 1994, Biometrics.

[17]  R. T. Lie,et al.  Birth Defects Registered by Double Sampling: A Bayesian Approach Incorporating Covariates and Model Uncertainty , 1995 .

[18]  K. Chaloner,et al.  Bayesian analysis in statistics and econometrics : essays in honor of Arnold Zellner , 1996 .

[19]  Peter Green,et al.  Markov chain Monte Carlo in Practice , 1996 .

[20]  J. Kadane,et al.  Independence issues in imprecise data models: A bayesian approach , 1997 .

[21]  Kathryn Chaloner,et al.  em Bayesian analysis in statistics and econometrics , 1997 .

[22]  Stephen P. Brooks,et al.  Markov chain Monte Carlo method and its application , 1998 .

[23]  James O. Berger,et al.  Bayesian Analysis: A Look at Today and Thoughts of Tomorrow , 2000 .

[24]  L. Joseph,et al.  Bayesian sample size determination for estimating binomial parameters from data subject to misclassification , 2000 .

[25]  Chandra Gulati,et al.  Advances in statistics, combinatorics and related areas : selected papers from the SCRA2001-FIM VIII, Wollogong Conference , 2002 .

[26]  Masahiro Kuroda,et al.  BAYESIAN INFERENCE FOR CATEGORICAL DATA WITH MISCLASSIFICATION ERRORS , 2002 .

[27]  J. Neuhaus,et al.  Binomial Regression with Misclassification , 2003, Biometrics.

[28]  T. Swartz,et al.  Bayesian identifiability and misclassification in multinomial data , 2004 .

[29]  Jorge Alberto Achcar,et al.  Bayesian analysis of correlated misclassified binary data , 2005, Comput. Stat. Data Anal..

[30]  F. J. Girón,et al.  A Bayesian model for multinomial sampling with misclassified data , 2008 .