Response Time Modeling Based on the Proportional Hazards Model

REFERENCES

• Aalen , O. and Gjessing , H. 2001 . Understanding the shape of the hazard rate: A process point of view . Statistical Science , 16 : 1 – 14 .
   Web of Science ®Google Scholar
• Bartholomew , D. and Knott , M. 1999 . Latent variable models and factor analysis. London , , UK : Arnold. .
   Google Scholar
• Bassili , J. 1996 . “ The how and why of response latency measurement in telephone surveys. ” . In Answering questions: Methodology for determining cognitive and communicative processes in survey research Edited by: Schwarz , N. and Sudman , S. 319 – 346 . San Francisco , CA : Jossey-Bass. .
   Google Scholar
• Browne , M. 1984 . Asymptotically distribution-free methods for the analysis of covariance structures . British Journal of Mathematical and Statistical Psychology , 37 : 62 – 83 .
   PubMed Web of Science ®Google Scholar
• Cai , T. , Hyndman , R. and Wand , M. 2002 . Mixed model-based hazard estimation . Journal of Computational and Graphical Statistics , 11 : 784 – 798 .
   Web of Science ®Google Scholar
• Casella , G. and Berger , R. 2002 . Statistical inference. Pacific Grove , CA : Duxbury. .
   Google Scholar
• Cox , D. 1972 . Regression models and life-tables . Journal of the Royal Statistical Society, B , 34 : 187 – 220 .
   Web of Science ®Google Scholar
• Croux , C. and Dehon , C. 2010 . Influence functions of the Spearman and Kendall correlation measures Tilburg , , The Netherlands : Tilburg University. . (CentER Discussion Paper No. Series No. 2010–40)
   Google Scholar
• Cunningham , W. , Preacher , K. and Banaji , M. 2001 . Implicit attitude measures: Consistency, stability, and convergent validity . Psychological Science , 12 : 163 – 170 .
   PubMed Web of Science ®Google Scholar
• Douglas , J. , Kosorok , M. and Chewing , B. 2001 . A latent variable model for discrete multivariate psychometric waiting times . Psychometrika , 64 : 69 – 82 .
   Web of Science ®Google Scholar
• El Maache , H. and Lepage , Y. 2003 . Spearman's Rho and Kendall's Tau for multivariate data sets . IMS Lecture Notes , 42 : 113 – 130 .
   Google Scholar
• Eysenck , H. , Wilson , C. and Jackson , C. 1998 . Eysenck Personality Profiler (EPP-D) Frankfurt , , Germany : Swets. .
   Google Scholar
• Fazio , R. 1995 . “ Attitudes as object-evaluation associations: Determinants, consequences, and correlates of attitude accessibility. ” . In Attitude strength: Antecedents and consequences Edited by: Petty , R. and Krosnick , J. 247 – 282 . Mahwah , NJ : Erlbaum. .
   Google Scholar
• Friedman , M. 1982 . Piecewise exponential models for survival data with covariates . Annals of Statistics , 10 : 101 – 113 .
   Web of Science ®Google Scholar
• Hoeffding , W. 1948 . A class of statistics with asymptotically normal distribution . The Annals of Mathematical Statistics , 19 : 293 – 325 .
   Google Scholar
• Holden , R. and Fekken , G. 1993 . Can personality test item response latencies have construct validity? Issues of reliability and convergent and discriminant validity . Personality and Individual Differences , 15 : 243 – 248 .
   Web of Science ®Google Scholar
• Hsieh , J. 2010 . Estimation of Kendall's Tau from censored data . Computational Statistics and Data Analysis , 54 : 1613 – 1621 .
   Web of Science ®Google Scholar
• Jansen , M. 1997 . Rasch's model for reading speed with manifest explanatory variables . Psychometrika , 62 : 393 – 409 .
   Web of Science ®Google Scholar
• Kendall , M. 1938 . A new measure of rank correlation . Biometrika , 30 : 81 – 89 .
   Web of Science ®Google Scholar
• Klein , J. 1992 . Semiparametric estimation of random effects using the Cox model based on the EM algorithm . Biometrics , 48 : 795 – 806 .
   PubMed Web of Science ®Google Scholar
• Klein , J. and Moeschberger , M. 1997 . Survival analysis: Techniques for censored and truncated data. Berlin , , Germany : Springer. .
   Google Scholar
• Lakhal , L. , Rivest , L. and Beaudoin , D. 2009 . IPCW estimator of Kendall's Tau under bivariate censoring . The International Journal of Biostatistics , 5 : 1 – 20 .
   PubMedGoogle Scholar
• Lindskog , F. , McNeil , A. and Schmock , U. 2003 . “ Kendall's tau for elliptical distributions. ” . In Credit risk: Measurement, evaluation and management Edited by: Bol , G. , Nakhaeizadeh , G. , Rachev , S. , Ridder , T. and Vollmer , K. 149 – 156 . Heidelberg , , Germany : Physica Verlag. .
   Google Scholar
• Loeys , T. , Rosseel , Y. and Baten , K. 2011 . A joint modeling approach for reaction time and accuracy in psycholinguistic experiment . Psychometrika , 76 : 487 – 503 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Markus , H. 1977 . Self-schemata and processing information about the self . Journal of Personality and Social Psychology , 35 : 63 – 78 .
   Web of Science ®Google Scholar
• Maydeu-Olivares , A. 2006 . Limited information estimation and testing of discretized multivariate normal structural models . Psychometrika , 71 : 55 – 77 .
   Google Scholar
• Maydeu-Olivares , A. and Joe , H. 2005 . Limited and full information estimation and goodness-of-fit testing in 2 n contingency tables: A unified framework . Journal of the American Statistical Association , 100 : 1009 – 1020 .
   Web of Science ®Google Scholar
• McCullagh , P. 1980 . Regression models for ordinal data . Journal of the Royal Statistical Society, B , 42 : 109 – 142 .
   Google Scholar
• Meredith , W. 1993 . Measurement invariance, factor analysis, and factorial invariance . Psychometrika , 58 : 525 – 543 .
   Web of Science ®Google Scholar
• Ortner , T. 2008 . Effects of changed item order: A cautionary note to practioners on jumping to computerized adaptive testing for personality assessment . International Journal of Selection and Assessment , 16 : 249 – 257 .
   Web of Science ®Google Scholar
• Parke , W. 1986 . Pseudo maximum likelihood estimation: The asymptotic distribution . The Annals of Statisics , 14 : 355 – 357 .
   Web of Science ®Google Scholar
• Parner , E. 1997 . Inference in semiparametric frailty models Aarhus , , Denmark : University of Aarhus. . (Unpublished doctoral dissertation)
   Google Scholar
• Powell , M. 1981 . Approximation theory and methods. Cambridge , , UK : Cambridge University Press. .
   Google Scholar
• Ranger , J. and Kuhn , J. 2011 . A flexible latent trait model for response times in tests . Psychometrika , 77 : 31 – 47 .
   Web of Science ®Google Scholar
• Ranger , J. and Kuhn , T. 2012 . Analyzing response times in tests with rank correlation approaches . Journal of Educational and Behavioral Statistics. , Advance online publication. doi: 10.3102/1076998611431086
   Web of Science ®Google Scholar
• Ranger , J. and Ortner , T. 2012 . A latent trait model for response times on tests employing the proportional hazards model . British Journal of Mathematical and Statistical Psychology , 65 : 334 – 349 .
   PubMed Web of Science ®Google Scholar
• Rouder , J. , Lu , J. , Speckman , P. , Sun , D. and Jiang , Y. 2005 . A hierarchical model for estimating response time distributions . Psychonomic Bulletin & Review , 12 : 195 – 223 .
   PubMed Web of Science ®Google Scholar
• Rouder , J. , Sun , D. , Speckman , P. , Lu , J. and Zhou , D. 2003 . A hierarchical Bayesian statistical framework for response time distributions . Psychometrika , 68 : 589 – 606 .
   Web of Science ®Google Scholar
• Samejima , F. 1969 . Estimation of latent ability using a response pattern of graded scores . Psychometrika Monograph , 17 : 1 – 100 .
   Google Scholar
• Scheiblechner , H. 1979 . Specifically objective stochastic latency mechanisms . Journal of Mathematical Psychology , 19 : 19 – 38 .
   Web of Science ®Google Scholar
• Shapiro , A. 1986 . Asymptotic theory of overparameterized structural models . Journal of the American Statistical Association , 81 : 142 – 149 .
   Web of Science ®Google Scholar
• Sheppard , L. and Vernon , P. 2008 . Intelligence and speed of information-processing: A review of 50 years of research . Personality and Individual Differences , 44 : 535 – 551 .
   Web of Science ®Google Scholar
• Siem , F. 1996 . The use of response latencies to enhance self-report personality measures . Military Psychology , 8 : 15 – 27 .
   Web of Science ®Google Scholar
• Singpurwalla , N. 2006 . The hazard potential: Introduction and overview . Journal of the American Statistical Association , 101 : 1705 – 1717 .
   Web of Science ®Google Scholar
• Stroud , A. 1971 . Approximate calculation of multiple integrals. Englewood Cliffs , NJ : Prentice-Hall. .
   Google Scholar
• van Breukelen , G. 1997 . Separability of item and person parameters in response time models . Psychometrika , 62 : 525 – 544 .
   Web of Science ®Google Scholar
• van Breukelen , G. , Roskam , E. , Eling , P. , Jansen , R. , Souren , D. and Ickenroth , J. 1995 . A model and diagnostic measures for response time series on tests of concentration: Historical background, conceptual framework, and some applications . Brain and Cognition , 27 : 147 – 179 .
   PubMed Web of Science ®Google Scholar
• van den Berg , G. 1997 . Association measures for durations in bivariate hazard rate models . Journal of Econometrics , 79 : 221 – 245 .
   Web of Science ®Google Scholar
• van der Linden , W. 2006 . A lognormal model for response times on test items . Journal of Educational and Behavioral Statistics , 31 : 181 – 204 .
   Web of Science ®Google Scholar
• Wang , J. 2005 . “ Smoothing hazard rates. ” . In Encyclopedia of biostatistics Edited by: Armitage , P. and Colton , T. 4986 – 4997 . Chichester , , UK : Wiley. .
   Google Scholar
• Wang , W. and Wells , M. 2010 . Estimation of Kendall's Tau under censoring . Statistica Sinica , 10 : 1199 – 1215 .
   Google Scholar
• Wenger , M. and Gibson , B. 2004 . Using hazard functions to assess changes in processing capacity in an attentional cuing paradigm . Journal of Experimental Psychology , 30 : 708 – 719 .
   Google Scholar
• Widaman , K. and Reise , S. 1997 . “ Exploring the measurement invariance of psychological instruments: Applications in the substance use domain. ” . In The science of prevention: Methodological advances from alcohol and substance abuse research Edited by: Bryant , K. , Windle , M. and West , S. 281 – 324 . Washington , DC : American Psychological Association. .
   Google Scholar