The DOI matches its Crossref record; 59 of the 59 references it cites were found in a registry or an index.
A mixed‐effects multinomial logistic regression model
Abstract
A mixed‐effects multinomial logistic regression model is described for analysis of clustered or longitudinal nominal or ordinal response data. The model is parameterized to allow flexibility in the choice of contrasts used to represent comparisons across the response categories. Estimation is achieved using a maximum marginal likelihood (MML) solution that uses quadrature to numerically integrate over the distribution of random effects. An analysis of a psychiatric data set, in which homeless adults with serious mental illness are repeatedly classified in terms of their living arrangement, is used to illustrate features of the model. Copyright © 2003 by John Wiley & Sons, Ltd.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
(2005) · Statistics for Biology and Health · doi:10.1007/0-387-27255-0_9 · Cited by 20,133
Hierarchical Linear Models: Applications and Data Analysis Methods.
Longford, N. T., Bryk, A. S., & Raudenbush, S. W. (1993) · Contemporary Sociology · doi:10.2307/2075823 · Cited by 18,724
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Conditional logit analysis of qualitative choice behavior
McFadden, D. L. (1972) · eScholarship (California Digital Library) · Cited by 14,203
Limited-dependent and qualitative variables in econometrics
Maddala, G. S. (1983) · Cambridge University Press eBooks · doi:10.1017/cbo9780511810176 · Cited by 13,240
RUBIN, D. B. (1976) · Biometrika · doi:10.1093/biomet/63.3.581 · Cited by 9,925
Hapeman, D. E. (1991) · Technometrics · doi:10.1080/00401706.1991.10484817 · Cited by 9,373
Cragg, J. G., & Zarembka, P. (1975) · The Canadian Journal of Economics · doi:10.2307/134075 · Cited by 8,342
(2001) · Statistics for Psychologists · doi:10.4324/9781410605542-11 · Cited by 6,877
(2006) · Technometrics · doi:10.1198/tech.2006.s417 · Cited by 4,950
Generalized Linear Models (2nd ed.).
Therneau, T. M., McCullagh, P., & Nelder, J. A. (1993) · Journal of the American Statistical Association · doi:10.2307/2290358 · Cited by 4,907
Models for Longitudinal Data: A Generalized Estimating Equation Approach
Zeger, S. L., Liang, K.-Y., & Albert, P. S. (1988) · Biometrics · doi:10.2307/2531734 · Cited by 4,505
(2008) · The Concise Encyclopedia of Statistics · doi:10.1007/978-0-387-32833-1_5 · Cited by 2,670
Schuenemeyer, J. H., McCullagh, P., & Nelder, J. A. (1992) · Technometrics · doi:10.2307/1269238 · Cited by 2,667
Fleiss, J. L., & Agresti, A. (1991) · Journal of the American Statistical Association · doi:10.2307/2290537 · Cited by 2,641
Courgeau, D., & Goldstein, H. (1997) · Population (French Edition) · doi:10.2307/1534624 · Cited by 2,562
Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm
Bock, R. D., & Aitkin, M. (1981) · Psychometrika · doi:10.1007/bf02293801 · Cited by 2,339
Mixed Logit with Repeated Choices: Households' Choices of Appliance Efficiency Level
Revelt, D., & Train, K. (1998) · Review of Economics and Statistics · doi:10.1162/003465398557735 · Cited by 2,157
Qualitative Response Models: A Survey
Amemiya, T. (1994) · Studies in Econometric Theory · doi:10.4337/9781035362707.00034 · Cited by 1,971
Informative Drop-Out in Longitudinal Data Analysis
Diggle, P., & Kenward, M. G. (1994) · Applied Statistics · doi:10.2307/2986113 · Cited by 1,468
Stroud, A. H., & Secrest, D. (1966) · Cited by 1,391
L., Y. L., Stroud, A. H., & Secrest, D. (1967) · Mathematics of Computation · doi:10.2307/2003493 · Cited by 1,266
Bock, R. D. (1972) · Psychometrika · doi:10.1007/bf02291411 · Cited by 1,228
Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model
Pinheiro, J. C., & Bates, D. M. (1995) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.1995.10474663 · Cited by 1,188
Multivariate Statistical Methods in Behavioral Research.
Lachenbruch, P. A., & Bock, R. D. (1977) · Journal of the American Statistical Association · doi:10.2307/2286249 · Cited by 790
Longford, N. T. (2011) · International Encyclopedia of Statistical Science · doi:10.1007/978-3-642-04898-2_471 · Cited by 745
Random-Effects Models for Serial Observations with Binary Response
Stiratelli, R., Laird, N., & Ware, J. H. (1984) · Biometrics · doi:10.2307/2531147 · Cited by 733
Missing data in longitudinal studies
Laird, N. M. (1988) · Statistics in Medicine · doi:10.1002/sim.4780070131 · Cited by 713
A Random-Effects Ordinal Regression Model for Multilevel Analysis
Hedeker, D., & Gibbons, R. D. (1994) · Biometrics · doi:10.2307/2533433 · Cited by 704
Self-citationMultivariate Statistical Methods in Behavioral Research.
Chalmers, C. P., & Bock, R. D. (1978) · Journal of the American Statistical Association · doi:10.2307/2286311 · Cited by 643
Tanner, M. A. (1996) · Springer Series in Statistics · doi:10.1007/978-1-4612-4024-2 · Cited by 630
MTW, & Tanner, M. A. (1997) · Journal of the American Statistical Association · doi:10.2307/2965746 · Cited by 608
Neuhaus, J. M., Kalbfleisch, J. D., & Hauck, W. W. (1991) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403572 · Cited by 543
Full-Information Item Factor Analysis
Bock, R. D., Gibbons, R., & Muraki, E. (1988) · Applied Psychological Measurement · doi:10.1177/014662168801200305 · Cited by 528
Improved Approximations for Multilevel Models with Binary Responses
Goldstein, H., & Rasbash, J. (1996) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983328 · Cited by 495
An Assessment of Estimation Procedures for Multilevel Models with Binary Responses
Rodriguez, G., & Goldman, N. (1995) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983404 · Cited by 476
The Hierarchical Logistic Regression Model for Multilevel Analysis
Wong, G. Y., & Mason, W. M. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10478148 · Cited by 461
A Mixed-Model Procedure for Analyzing Ordered Categorical Data
Harville, D. A., & Mee, R. W. (1984) · Biometrics · doi:10.2307/2531393 · Cited by 447
A note on Gauss—Hermite quadrature
LIU, Q., & PIERCE, D. A. (1994) · Biometrika · doi:10.1093/biomet/81.3.624 · Cited by 415
Nonlinear multilevel models, with an application to discrete response data
GOLDSTEIN, H. (1991) · Biometrika · doi:10.1093/biomet/78.1.45 · Cited by 395
Univariate and Multivariate Log-Linear and Logistic Models
Nerlove, M., & Press, S. J. (1973) · Cited by 336
Amemiya, T. (1975) · NBER Chapters · Cited by 284
Variance Component Models with Binary Response: Interviewer Variability
Anderson, D. A., & Aitkin, M. (1985) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1985.tb01346.x · Cited by 281
A Survey of Methods for Analyzing Clustered Binary Response Data
Pendergast, J. F., Gange, S. J., Newton, M. A., Lindstrom, M. J., Palta, M., & Fisher, M. R. (1996) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403425 · Cited by 270
Regression Models for Discrete Longitudinal Responses
Fitzmaurice, G. M., Laird, N. M., & Rotnitzky, A. G. (1993) · Statistical Science · doi:10.1214/ss/1177010899 · Cited by 239
(2003) · Wiley Series in Probability and Statistics · doi:10.1002/0471473286.ch9 · Cited by 222
Multinomial logit random effects models
Hartzel, J., Agresti, A., & Caffo, B. (2001) · Statistical Modelling · doi:10.1177/1471082x0100100201 · Cited by 200
Nelder, J. A., & Longford, N. T. (1994) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983541 · Cited by 158
Analysis of Repeated Categorical Measurements with Conditional Likelihood Methods
Conaway, M. R. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478738 · Cited by 118
The Analysis of Categorical Data.
MacDonald, P. D. (1975) · Journal of the Operational Research Society · doi:10.1057/jors.1975.169 · Cited by 102
On the Statistical Analysis of Ordinal Data When Extravariation is Present
Jansen, J. (1990) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.2307/2347813 · Cited by 100
A random effects model for ordinal responses from a crossover trial
Ezzet, F., & Whitehead, J. (1991) · Statistics in Medicine · doi:10.1002/sim.4780100611 · Cited by 93
Hurlburt, M. S., Wood, P. A., & Hough, R. L. (1996) · Journal of Community Psychology · Cited by 93
A Multilevel Thresholds of Change Model for Analysis of Stages of Change Data
Hedeker, D., & Mermelstein, R. J. (1998) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3304_1 · Cited by 87
Self-citationMIXNO: A Computer Program for Mixed-Effects Nominal Logistic Regression
Hedeker, D. (1999) · Journal of Statistical Software · doi:10.18637/jss.v004.i05 · Cited by 81
Self-citationTrend in Correlated Proportions
Gibbons, R. D., & Bock, R. D. (1987) · Psychometrika · doi:10.1007/bf02293959 · Cited by 79
A Proportional Odds Model with Subject-Specific Effects for Repeated Ordered Categorical Responses
Agresti, A., & Lang, J. B. (1993) · Biometrika · doi:10.1093/biomet/80.3.527 · Cited by 79
Have, T. R. T. (1996) · Biometrics · doi:10.2307/2532888 · Cited by 42
Have, T. R. T., & Uttal, D. H. (1994) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.2307/2986027 · Cited by 30
Cited by
Design and analysis of group-randomized trials: a review of recent methodological developments
Murray, D. M., Varnell, S. P., & Blitstein, J. L. (2004) · American Journal of Public Health · doi:10.2105/ajph.94.3.423 · Cited by 677
Miklowitz, D. J., Otto, M. W., Frank, E., Reilly-Harrington, N. A., Wisniewski, S. R., Kogan, J. N., Nierenberg, A. A., Calabrese, J. R., Marangell, L. B., Gyulai, L., et al. (2007) · Archives of General Psychiatry · doi:10.1001/archpsyc.64.4.419 · Cited by 537
Bartneck, C., Duenser, A., Moltchanova, E., & Zawieska, K. (2015) · PLOS ONE · doi:10.1371/journal.pone.0121595 · Cited by 317
Beksinska, M. E., Smit, J., Greener, R., Todd, C. S., Lee, M.-L. T., Maphumulo, V., & Hoffmann, V. (2015) · Journal of Women's Health · doi:10.1089/jwh.2014.5021 · Cited by 121
Protein Intake, Nutritional Status and Outcomes in ICU Survivors: A Single Center Cohort Study
Weijs, P. J. M., Mogensen, K. M., Rawn, J. D., & Christopher, K. B. (2019) · Journal of Clinical Medicine · doi:10.3390/jcm8010043 · Cited by 70
Metadata
- Authors
- Hedeker, D.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 2003-04-14
- Volume
- 22
- Issue
- 9
- Pages
- 1433-1446
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2165595607
- Cited by
- 373
- References
- 59
- FWCI
- 4.89
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.