Mixture models for eye-tracking data: A case study

Statistics in Medicine

Volumn 15, Issue 13, 1996, Pages 1365-1376

  Pauler, Donna K ^a   Escobar, Michael D ^b   Sweeney, John A ^c   Greenhouse, Joel ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; DATA ANALYSIS; EYE TRACKING; HUMAN; INTERMETHOD COMPARISON; MODEL; SAMPLE; SCHIZOPHRENIA;

ALGORITHMS; ANALYSIS OF VARIANCE; CASE-CONTROL STUDIES; CHI-SQUARE DISTRIBUTION; FACTOR ANALYSIS, STATISTICAL; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; POISSON DISTRIBUTION; REPRODUCIBILITY OF RESULTS; SACCADES; SCHIZOPHRENIA;

EID: 0029956979     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960715)15:13<1365::AID-SIM232>3.0.CO;2-J     Document Type: Article

References (18)

1. Gibbons, R. D., Dorus, E., Ostrow, D. G., Pandey, G. N., Davis, J. M. and Levy, D. L. 'Mixture distributions in psychiatric research', Biological Psychiatry, 19, 935-961 (1984).
2. Buchsbaum, M. and Rieder, R. 'Biologic heterogeneity and psychiatric research', Archives of General Psychiatry, 36, 1163-1164 (1979).
3. Sweeney, J. A., Clementz, B. A., Escobar, M. D., Li, S., Pauler, D. K. and Haas, G. L. 'Mixture analysis of pursuit eye-tracking dysfunction in schizophrenia', Biological Psychiatry, 34, 331-340 (1993).
4. Belin, T. R. and Rubin, D. B. 'The analysis of repeated-measures data on schizophrenic reaction times using mixture models', Statistics in Medicine, 14, 747-768 (1995).
5. Lindsay, B. G. 'The geometry of mixture likelihoods: a general theory', Annals of Statistics, 11, 86-94 (1983).
6. Dempster, A. P., Laird, N. M. and Rubin, D. B. 'Maximum likelihood from incomplete data via the EM algorithm', Journal of the Royal Statistical Society, Series B, 39, 1-38 (1977).
7. Titterington, D. M., Smith, A. F. M. and Makov, U. E. Statistical Analysis of Finite Mixture Distributions, John Wiley & Sons, New York, 1985.
8. Hathaway, R. J. 'Constrained maximum likelihood estimation for normal mixtures', Annals of Statistics, 13, 795-800 (1985).
9. Thode, Jr., H. C., Finch, S. J. and Mendell, N. R. 'Simulated percentage points for the null distribution of the likelihood ratio test for a mixture of two normals', Biometrics, 44, 1195-1201 (1988).
10. Mendell, N. R., Thode, Jr., H. C. and Finch, S. J. 'The likelihood ratio test for the two-component normal mixture problem: power and sample size analysis', Biometrics, 47, 1143-1148 (1991).
11. Efron, B. and Tibshirani, R. 'Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy', Statistical Science, 1, 54-77 (1986).
12. McLachlan, G. J. 'On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture', Applied Statistics, 36, 318-324 (1987).
13. Clementz, B. A., Grove, W. M., Iacono, W. G. and Sweeney, J. A. 'Smooth-pursuit eye movement dysfunction and liability for schizophrenia: implications for genetic modeling', Journal of Abnormal Psychology, 101, 117-129 (1992).
14. Iacono, W. G., Moreau, M., Beiser, M., Fleming, J. A. and Lin, T. 'Smooth-pursuit eye tracking in first-episode psychotic patients and their relatives', Journal of Abnormal Psychology, 101, 104-116 (1992).
15. Schittkowski, K. 'NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems', Annals of Operations Research, 5, 485-500 (1986).
16. Akaike, H. 'Information theory and an extension of the maximum likelihood principle', in Petrox, B. N. and Caski, F. (eds), Second International Symposium on Information Theory, Akademiai Kiado, Budapest, 1973, p. 267.
17. Schwarz, G. 'Estimating the dimension of a model', Annals of Statistics, 6, 461-464 (1978).
18. Grove, W. M. and Meehl, P. E. 'Simple regression-based procedures for taxometric investigations', Psychological Reports, Monograph Supplement 1-V73, 73, 707-737 (1993).