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A two-part random-effects model for semicontinuous longitudinal data

Publication ,  Journal Article
Olsen, MK; Schafer, JL
Published in: Journal of the American Statistical Association
June 1, 2001

A semicontinuous variable has a portion of responses equal to a single value (typically 0) and a continuous, often skewed, distribution among the remaining values. In cross-sectional analyses, variables of this type may be described by a pair of regression models; for example, a logistic model for the probability of nonzero response and a conditional linear model for the mean response given that it is nonzero. We extend this two-part regression approach to longitudinal settings by introducing random coefficients into both the logistic and the linear stages. Fitting a two-part random-effects model poses computational challenges similar to those found with generalized linear mixed models. We obtain maximum likelihood estimates for the fixed coefficients and variance components by an approximate Fisher scoring procedure based on high-order Laplace approximations. To illustrate, we apply the technique to data from the Adolescent Alcohol Prevention Trial, examining reported recent alcohol use for students in grades 7–11 and its relationships to parental monitoring and rebelliousness. © 2001 American Statistical Association.

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Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

June 1, 2001

Volume

96

Issue

454

Start / End Page

730 / 745

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics
 

Citation

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Olsen, M. K., & Schafer, J. L. (2001). A two-part random-effects model for semicontinuous longitudinal data. Journal of the American Statistical Association, 96(454), 730–745. https://doi.org/10.1198/016214501753168389
Olsen, M. K., and J. L. Schafer. “A two-part random-effects model for semicontinuous longitudinal data.” Journal of the American Statistical Association 96, no. 454 (June 1, 2001): 730–45. https://doi.org/10.1198/016214501753168389.
Olsen MK, Schafer JL. A two-part random-effects model for semicontinuous longitudinal data. Journal of the American Statistical Association. 2001 Jun 1;96(454):730–45.
Olsen, M. K., and J. L. Schafer. “A two-part random-effects model for semicontinuous longitudinal data.” Journal of the American Statistical Association, vol. 96, no. 454, June 2001, pp. 730–45. Scopus, doi:10.1198/016214501753168389.
Olsen MK, Schafer JL. A two-part random-effects model for semicontinuous longitudinal data. Journal of the American Statistical Association. 2001 Jun 1;96(454):730–745.

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

June 1, 2001

Volume

96

Issue

454

Start / End Page

730 / 745

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics