On the replication of Kristofferson’s (1980) quantal timing for duration discrimination: some learning but no quanta and not much of a Weber constant

Allan, L. G. (1979). The perception of time. Perception & Psychophysics, 26, 340–354.

Allan, L. G. (1998). The influence of the scalar timing model on human timing research. Behavioural Processes, 44, 101–117.

Allan, L. G., & Kristofferson, A. B. (1974a). Judgments about the duration of brief stimuli. Perception & Psychophysics, 15, 434–440.

Allan, L. G., & Kristofferson, A. B. (1974b). Successiveness discrimination: Two models. Perception & Psychophysics, 15, 37–46.

Allan, L. G., Kristofferson, A. B., & Wiens, E. W. (1971). Duration discrimination of brief light flashes. Perception & Psychophysics, 9, 327–334.

Bangert, A. S., Reuter-Lorenz, P. A., & Seidler, R. D. (2011). Dissecting the clock: Understanding the mechanisms of timing across tasks and temporal intervals. Acta Psychologica, 136, 20–34.

Bartolo, R., & Merchant, H. (2009). Learning and generalization of time production in humans: Rules of transfer across modalities and interval durations. Experimental Brain Research, 197, 91–100.

Brown, G. D. A., McCormack, T., Smith, M., & Stewart, N. (2005). Identification and bisection of temporal durations and tone frequencies: Common models for temporal and nontemporal stimuli. Journal of Experimental Psychology: Human Perception and Performance, 31, 919–938.

Casini, L., Macar, F., & Grondin, S. (1992). Time estimation and attentional sharing. In F. Macar, V. Pouthas, & W. Friedman (Eds.), Time, action, cognition: Towards bridging the gap (pp. 177–180). Dordrecht, The Netherlands: Kluwer.

Crystal, J. D. (2006). Sensitivity to time: Implications for the representation of time. In E. A. Wasserman & T. R. Zentall (Eds.), Comparative cognition: Experimental explorations of animal intelligence (pp. 270–284). New York: Oxford University Press.

Gamache, P.-L., & Grondin, S. (2010). The life span of time intervals in reference memory. Perception, 39, 1431–1451.

Gamache, P.-L., Grondin, S., & Zakay, D. (2011). The impact of attention on the internal clock in prospective timing: Is it direct or indirect? In A. Vatakis, A. Esposito, M. Giagkou, F. Cummins, & G. Papadelis (Eds.), Multidisciplinary Aspects of Time and Time Perception 2010, LNAI 6789 (pp. 137–150). Berlin: Springer.

Geissler, H.-G., Schebera, F.-U., & Kompass, R. (1999). Ultra-precise quantal timing: Evidence from simultaneity thresholds in long-range apparent movement. Perception & Psychophysics, 61, 707–726.

Getty, D. (1975). Discrimination of short temporal intervals: A comparison of two models. Perception & Psychophysics, 18, 1–8.

Gibbon, J. (1977). Scalar expectancy theory and Weber’s law in animal timing. Psychological Review, 84, 279–325.

Gibbon, J., & Church, R. M. (1984). Sources of variance in an information processing theory of timing. In H. L. Roitblat, T. G. Bever, & H. S. Terrace (Eds.), Animal cognition (pp. 465–488). Hillsdale, NJ: Erlbaum.

Gibbon, J., Church, R. M., & Meck, W. H. (1984). Scalar timing in memory. Annals of the New York Academy of Sciences, 423, 52–77.

Gibbon, J., Malapani, C., Dale, C. L., & Gallistel, C. (1997). Toward a neurobiology of temporal cognition: Advances and challenges. Current Opinion in Neurobiology, 7, 170–184.

Grondin, S. (2001). From physical time to the first and second moments of psychological time. Psychological Bulletin, 127, 22–44.

Grondin, S. (2005). Overloading temporal memory. Journal of Experimental Psychology: Human Perception and Performance, 31, 869–879.

Grondin, S. (2008). Methods for studying psychological time. In S. Grondin (Ed.), Psychology of time (pp. 51–74). Bingley, U.K.: Emerald Group Publishing.

Grondin, S. (2010a). Timing and time perception: A review of recent behavioral and neuroscience findings and theoretical directions. Attention, Perception, & Psychophysics, 72, 561–582.

Grondin, S. (2010b). Unequal Weber fraction for the categorization of brief temporal intervals. Attention, Perception, & Psychophysics, 72, 1422–1430.

Grondin, S. (in press). Violation of the scalar property for time perception between 1 and 2 seconds: Evidence from interval discrimination, reproduction, and categorization. Journal of Experimental Psychology: Human Perception and Performance.

Grondin, S., Bisson, N., Gagnon, C., Gamache, P.-L., & Matteau, A.-A. (2009). Little to be expected from auditory training for improving visual temporal discrimination. NeuroQuantology, 7, 95–102.

Grondin, S., Gamache, P.-L., Tobin, S., Bisson, N., & Hawke, L. (2008). Categorization of brief temporal intervals: An auditory processing context may impair visual performances. Acoustical Science and Technology, 29, 338–340.

Grondin, S., & Macar, F. (1992). Dividing attention between temporal and nontemporal tasks: A performance operating characteristic—POC—analysis. In F. Macar, V. Pouthas, & W. Friedman (Eds.), Time, action, cognition: Towards bridging the gap (pp. 119–128). Dordrecht, The Netherlands: Kluwer.

Grondin, S., Meilleur-Wells, G., & Lachance, R. (1999). When to start explicit counting in time-intervals discrimination task: A critical point in the timing process of humans. Journal of Experimental Psychology: Human Perception and Performance, 25, 993–1004.

Grondin, S., Ouellet, B., & Roussel, M.-È. (2001). About optimal timing and stability of Weber fraction for duration discrimination. Acoustical Science and Technology, 22, 370–372.

Grondin, S., & Rammsayer, T. (2003). Variable foreperiods and temporal discrimination. Quarterly Journal of Experimental Psychology, 56A, 731–765.

Grondin, S., & Ulrich, R. (2011). Duration discrimination performance: No cross-modal transfer from audition to vision even after massive perceptual learning. In A. Vatakis, A. Esposito, M. Giagkou, F. Cummins, & G. Papadelis (Eds.), Multidisciplinary Aspects of Time and Time Perception 2010, LNAI 6789 (pp. 92–100). Berlin: Springer.

Karmarkar, U. R., & Buonomano, D. V. (2003). Temporal specificity of perceptual learning in an auditory discrimination task. Learning and Memory, 10, 141–147.

Killeen, P. R., & Taylor, T. J. (2000). How the propagation of error through stochastic counters affects time discrimination and other psychophysical judgments. Psychological Review, 107, 430–459.

Killeen, P. R., & Weiss, N. A. (1987). Optimal timing and the Weber function. Psychological Review, 94, 455–468.

Kristofferson, A. B. (1967). Attention and psychophysical time. Acta Psychologica, 27, 93–100.

Kristofferson, A. B. (1976). Low-variance stimulus–response latencies: Deterministic internal delays? Perception & Psychophysics, 20, 89–100.

Kristofferson, A. B. (1977). A real-time criterion theory of duration discrimination. Perception & Psychophysics, 21, 105–117.

Kristofferson, A. B. (1980). A quantal step function in duration discrimination. Perception & Psychophysics, 27, 300–306.

Lapid, E., Ulrich, R., & Rammsayer, T. (2009). Perceptual learning in auditory temporal discrimination: No evidence for a cross-modal transfer to the visual modality. Psychonomic Bulletin & Review, 16, 382–389.

Lavoie, P., & Grondin, S. (2004). Information processing limitations as revealed by temporal discrimination. Brain and Cognition, 54, 198–200.

Lewis, P. A., & Miall, R. C. (2009). The precision of temporal judgement: Milliseconds, many minutes, and beyond. Philosophical Transactions of the Royal Society B, 364, 1897–1905.

Macar, F., Grondin, S., & Casini, L. (1994). Controlled attention sharing influences time estimation. Memory & Cognition, 22, 673–686.

Matthews, W. J. (2011a). Can we use verbal estimation to dissect the internal clock? Differentiating the effects of pacemaker rate, switch latencies, and judgment processes. Behavioural Processes, 86, 68–74.

Matthews, W. J. (2011b). How do changes in speed affect the perception of duration? Journal of Experimental Psychology: Human Perception and Performance, 37, 1617–1627.

Matthews, W. J., Stewart, N., & Wearden, J. H. (2011). Stimulus intensity and the perception of duration. Journal of Experimental Psychology: Human Perception and Performance, 37, 303–313.

McAuley, J. D., Jones, M. R., Holub, S., Johnston, H. M., & Miller, N. S. (2006). The time of our lives: Life span development of timing and event tracking. Journal of Experimental Psychology: General, 135, 348–367.

Nagarajan, S. S., Blake, D. T., Wright, B. A., Byl, N., & Merzenich, M. M. (1998). Practice-related improvements in somatosensory interval discrimination are temporally specific but generalize across skin location, hemisphere, and modality. Journal of Neuroscience, 18, 1559–1570.

Nakazawa, M. (2012). fmsb: Functions for medical statistics book with some demographic data. R package version 0.3.1. Retrieved from http://CRAN.R-project.org/package=fmsb

Rammsayer, T. H. (1994). Effects of practice and signal energy on duration discrimination of brief auditory intervals. Perception & Psychophysics, 55, 454–464.

Rammsayer, T. [H.], & Ulrich, R. (2001). Counting models of temporal discrimination. Psychonomic Bulletin & Review, 8, 270–277.

R Development Core Team. (2011). R: A language and environment for statistical computing. Version 2.13.1. Retrieved from http://www.R-project.org

Stroud, J. M. (1955). The fine structure of psychological time. In H. Quastler (Ed.), Information theory in psychology (pp. 174–205). Glencoe, IL: The Free Press.

Ulrich, R. (1987). Threshold models of temporal-order judgments evaluated by a ternary responses task. Perception & Psychophysics, 42, 224–239.

VanRullen, R., & Koch, C. (2003). Is perception discrete or continuous? Trends in Cognitive Sciences, 7, 207–213.

Wearden, J. H. (2003). Applying the scalar timing model to human time psychology: Progress and challenges. In H. Helfrich (Ed.), Time and mind II (pp. 21–39). Göttingen, Germany: Hogrefe & Huber.

Wearden, J. H., & Ferrara, A. (1995). Stimulus spacing effects in temporal bisection by humans. Quarterly Journal of Experimental Psychology, 48B, 289–310.

Wearden, J. H., & Ferrara, A. (1996). Stimulus range effects in temporal bisection by humans. Quarterly Journal of Experimental Psychology, 49B, 24–44.

Westheimer, G. (1999). Discrimination of short time intervals by human observers. Experimental Brain Research, 129, 121–126.

Woodrow, H. (1951). Time perception. In S. S. Stevens (Ed.), Handbook of experimental psychology (pp. 1224–1236). New York: Wiley.

Wright, B. A., Buonomano, D. V., Manhcke, H. W., & Merzenich, M. M. (1997). Learning and generalization of auditory temporal-interval discrimination in humans. Journal of Neuroscience, 17, 3956–3963.

Zarco, W., Merchant, H., Prado, L., & Mendez, J. C. (2009). Subsecond timing in primates: Comparison of interval production between human subjects and Rhesus monkeys. Journal of Neurophysiology, 102, 3191–3202.