Estimating underreporting of consumer expenditures using Markov latent class analysis

This paper examines reporting in specific consumer item categories (or commodities) and estimates expenditure underreporting due to survey respondents who erroneously report no expenditure in a category. Our approach for estimating underreporting errors is a two-step process. In the first step, a Markov latent class analysis is performed to estimate the proportion of consumers in various subpopulations who fail to report their actual expenditure in a particular commodity. Once this proportion is estimated, the dollar value of the missing expenditure is estimated using the mean expenditure of those in that subpopulation that did report an expenditure. Finally, the estimates are evaluated and discussed in light of external data on expenditure underreporting.

[1]  Paul P. Biemer,et al.  Latent Class Analysis of Survey Error , 2011 .

[2]  Rolf Langeheine,et al.  Applied Latent Class Analysis: Latent Markov Chains , 2002 .

[3]  P. Biemer.  Estimation and Correction for Purchase Screening Errors in Expenditure Data: A Markov Latent Class Modeling Approach , 2001 .

[4]  Jeroen K. Vermunt,et al.  LEM: A general program for the analysis of categorical data. Users manual , 1997 .

[5]  Jeroen K. Vermunt,et al.  'EM: A general program for the analysis of categorical data 1 , 1997 .

[6]  R. Langeheine,et al.  A Unifying Framework for Markov Modeling in Discrete Space and Discrete Time , 1990 .

[7]  Jan de Leeuw,et al.  A Latent Markov Model to Correct for Measurement Error , 1986 .

[8]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[9]  Otis Dudley Duncan,et al.  Panel Analysis: Latent Probability Models for Attitude and Behavior Processes. , 1975 .

[10]  Lee Manning Wiggins,et al.  Panel analysis : Latent probability models for attitude and behavior processes , 1974 .

[11]  L. A. Goodman.  Exploratory latent structure analysis using both identifiable and unidentifiable models , 1974 .

[12]  Neil Henry.  Latent structure analysis , 1969 .

[13]  Leo A. Goodman,et al.  Statistical Methods for the Mover-Stayer Model , 1961 .

[14]  F. F. Stephan,et al.  The Industrial Mobility of Labor as a Probability Process by I. Blumen, M. Kogan, Ph. J. McCarthy. Cornell Studies in Industrial and Labor Relations, Vol. VI. Ithaca, Cornell University, 1955, XII p. 163 p., $ 2.00. , 1956, Bulletin de l'Institut de recherches économiques et sociales.