Separability of item and person parameters in response time models

Psychometrika

Volumn 62, Issue 4, 1997, Pages 525-544

  Van Breukelen, Gerard J P ^a  

^a MAASTRICHT UNIVERSITY   (Netherlands)

Author keywords

Accelerated life model; Double monotonicity; Exponential family; Location parameter; Proportional hazards model; Proportional odds model; Pseudolikelihood; Ranking independence; Response times; Scale parameter; Separate sufficiency

Indexed keywords

EID: 0031329318     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294641     Document Type: Article

References (42)

1. Andersen, E. B. (1973). Conditional inference and models for measuring. Copenhagen: Mental Hygiejnisk Forlag.
2. Andersen, E. B. (1977). Sufficient statistics and latent trait models. Psychometrika, 42, 69-81.
3. Andersen, E. B. (1980). Discrete statistical models with social science applications. Amsterdam: North-Holland.
4. Andersen, P. K. (1991). Survival analysis 1982-1991: The second decade of the proportional hazards regression model. Statistics in Medicine, 10, 1931-1941.
5. Arnold, B. C., & Strauss, D. (1988). Pseudolikelihood estimation (Technical Report No. 164, Dept. of Statistics). Riverside: University of California.
6. Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In F. M. Lord & M. R. Novick (Eds.), Statistical theories of mental test scores (pp. 397-479). Reading, MA: Addison-Wesley.
7. Bloxom, B. (1985). Considerations in psychometric modeling of response time. Psychometrika, 50, 383-397.
8. Connolly, M. A., & Liang, K. Y. (1988). Conditional logistic regression models for correlated binary data. Biometrika, 75, 501-506.
9. Cox, D. R., & Oakes, D. (1984). Analysis of survival data. London: Chapman and Hall.
10. Fischer, G. H. (1974). Einführung in die Theorie psychologischer Tests [Introduction to the theory of psychological tests]. Bern: Huber.
11. Fischer, G. H. (1987). Applying the principle of specific objectivity and of generalizability to the measurement of change. Psychometrika, 52, 565-587.
12. Fischer, G. H., & Kisser, R. (1983). Notes on the exponential latency model and an empirical application. In H. Wainer & S. Messick (Eds.), Principals of modern psychological measurement (pp. 139-157). Hillsdale, NJ: Erlbaum.
13. Godambe, V. P. (1991). Estimating functions. Oxford: Clarendon Press.
14. Irtel, H. (1987). On specific objectivity as a concept in measurement. In E. E. Roskam & R. Suck (Eds.), Progress in mathematical psychology (pp. 35-45). Amsterdam: North-Holland.
15. Irtel, H. (1995). An extension of the concept of specific objectivity. Psychometrika, 60, 115-118.
16. Kalbfleisch, J. D., & Prentice, R. L. (1980). The statistical analysis of failure time data. New York: Wiley.
17. Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of measurement, Vol. I. New York: Academic Press.
18. Lehmann, E. L. (1959). Testing statistical hypotheses. New York: Wiley.
19. Liang, K. Y., & Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika, 73, 13-22.
20. Luce, R. D. (1986). Response times: their role in inferring elementary mental organization. New York: Oxford University Press.
21. Maris, E. (1993). Additive and multiplicative models for gamma distributed random variables, and their application as psychometric models for response times. Psychometrika, 58, 445-469.
22. Marley, A. A. J. (1989). A random utility family that includes many of the classical models and has closed form choice probabilities and choice reaction times. British Journal of Mathematical and Statistical Psychology, 42, 13-36.
23. Micko, H. C. (1969). A psychological scale for reaction time measurement. Acta Psychologica, 30, 324-335.
24. Micko, H. C. (1970). Eine Verallgemeinerung des Meßmodells von Rasch mit einer Anwendung auf die Psychophysik der Reaktionen [A generalization of the Rasch model with an application to the psychophysics of reactions]. Psychologische Beiträge, 12, 4-22.
25. Mokken, R. J., & Lewis, C. (1982). A nonparametric approach to the analysis of dichotomous item responses. Applied Psychological Measurement, 6, 417-430.
26. Mood, A. M., Graybill, F. A., & Boes, D. C. (1974). Introduction to the theory of statistics (3rd ed.). Tokyo: McGraw-Hill.
27. Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research (Reprinted by the University of Chicago Press, 1980)
28. Rasch, G. (1977). On specific objectivity. An attempt at formalizing the request for generality and validity of scientific statements. In M. Blegvad (Ed.), The Danish yearbook of philosophy, 14 (pp. 58-94). Copenhagen: Muynksgaard.
29. Roskam, E. E. Ch. I., & Jansen, P. G. W. (1984). A new derivation of the Rasch model. In E. Degreef & J. Van Buggenhout (Eds.), Trends in mathematical psychology (pp. 293-307). Amsterdam: Elsevier.
30. Scheiblechner, H. (1979). Specifically objective stochastic latency mechanisms. Journal of Mathematical Psychology, 19, 18-38.
31. Scheiblechner, H. (1985). Psychometric models for speed-test construction: the linear exponential model. In S. E. Embretson (Ed.), Test design, developments in psychology and psychometrics (pp. 219-244). London: Academic Press.
32. Scheiblechner, H. (1995). Isotonic ordinal probabilistic models. Psychometrika, 60, 281-304.
33. Thissen, D. (1983). Timed testing: an approach using item response theory. In D. J. Weiss (Ed.), New horizons in testing: latent trait theory and computerized adaptive testing (pp. 179-203). New York: Academic Press.
34. Tibshirani, R. (1988). Estimating transformations for regression via additivity and variance stabilization. Journal of the American Statistical Association, 83, 394-405.
35. Tutz, G. (1989). Latent Trait Modelle für ordinale Beobachtungen [Latent trait models for ordinal observations]. Berlin: Springer.
36. Van Breukelen, G. J. P. (1995). Psychometric and information processing properties of selected response time models. Psychometrika, 60, 95-113.
37. Van Breukelen, G. J. P. (1996). Selecting and weighting items in composite scales for assessment of physical or mental health Maastricht University. (Internal Report, Dept. of Methodology and Statistics). THE NETHERLANDS: Maastricht.
38. Van Breukelen, G. J. P., & Roskam, E. E. Ch. I. (1991). A Rasch model for the speed-accuracy trade-off in time limited tests. In J. P. Doignon & J. C. Falmagne (Eds.), Mathematical psychology: Current developments (pp. 251-271). New York: Springer.
39. Vorberg, D., & Schwarz, W. (1990). Rasch-representable reaction time distributions. Psychometrika, 55, 617-632.
40. Vorberg, D., & Ulrich, R. (1987). Random search with unequal search rates: serial and parallel generalizations of McGill's model. Journal of Mathematical Psychology, 31, 1-23.
41. Zacks, S. (1971). The theory of statistical inference. New York: Wiley.
42. Zwinderman, A. H. (1995). Pairwise parameter estimation in Rasch models. Applied Psychological Measurement, 19, 369-375.