Publications Prof. W. Schwarz

Publications bevor 2009

If you are are interested in reprints of one or more of these publications, please send an mail.

Journal Articles

  1. Schwarz, W. & Kühn, S. (2008). Better to take one long or two quick looks? Independent processing of evidence from discrete visual presentations. Accepted for publication in: Journal of Experimental Psychology: Human Perception and Performance, 34(6), 1337-1352.

  2. Müller, D. & Schwarz, W. (2008). "1-2-3": Is there a temporal number line? Evidence from a serial comparison task. Experimental Psychology, 55, 143-150.

  3. Müller, D. & Schwarz, W. (2007). Is there an internal association of numbers to hands? The task-set influences the nature of the SNARC effect. Memory & Cognition, 35, 1151-1161.

  4. Müller, D. & Schwarz, W. (2007). Exploring the mental number line: Evidence from a dual-task paradigm. Psychological Research, 71, 598-613.

  5. Miller, J.O. & Schwarz, W. (2006). Dissociations between reaction times and temporal order judgments: A diffusion model approach. Journal of Experimental Psychology: Human Perception and Performance, 32, 394-512.

  6. Schwarz, W. & Müller, D. (2006). Spatial associations in number-related tasks: A comparison of manual and pedal responses. Experimental Psychology, 53, 4-15.

  7. De Bleser, R., Schwarz, W. & Burchert, F. (2006). Quantitative neurosyntactic analyses: The final word? Brain and Language, 96, 143-146.

  8. Schwarz, W. (2006). On the relation between the redundant signals effect and temporal order judgments: Parametric data and a new model. Journal of Experimental Psychology: Human Perception and Performance, 32, 558-573.

  9. Keus, I.M. & Schwarz, W. (2005). Searching for the functional locus of the SNARC effect: Evidence for a response-related origin. Memory & Cognition, 33, 681-695.

  10. Keus, I.M., Jenks, C., & Schwarz, W. (2005). Psychological evidence that the SNARC effect has a functional locus in a response selection stage. Cognitive Brain Research, 24, 48-56.

  11. Schwarz, W. & Keus, I.M. (2004). Moving the eyes along the mental number line: Comparing SNARC effects with saccadic and manual responses. Perception & Psychophysics, 66, 651-664.

  12. Schwarz, W. (2003). Stochastic cascade processes as a model of multi-stage concurrent information procesing. Acta Psychologica, 113, 231-261.

  13. Schwarz, W. & Ischebeck, A. (2003). On the relative speed account of number-size interference effects in comparative judgments of numerals. Journal of Experimental Psychology: Human Perception and Performance, 29, 507-522.

  14. Schwarz, W. (2002). On the convolution of Inverse Gaussian and exponential random variables. Communications in Statistics: Theory and Methods, 31, 2113-2121.

  15. Schwarz, W. (2001). The Ex-Wald distribution as a descriptive model of response times. Behavior Research Methods, Instruments, and Computers, 33, 457-469.

  16. Schwarz, W. & Ischebeck, A. (2001). On the interpretation of RT vs. SOA functions: Application to dual task and precue-utilization paradigms. Journal of Mathematical Psychology, 45, 452-479.

  17. Schwarz, W. & Ischebeck, A. (2000). Sequential effects in number comparison. Journal of Experimental Psychology: Human Perception and Performance, 26, 1606-1621.

  18. Schwarz, W. (2000). Ein einfaches Poissonmodell für Ligawettbewerbe im Sport [A simple Poisson model for league sport contests]. Mathematische und Naturwissenschaftliche Unterricht, 53, 146-151.

  19. Schwarz, W. & Stein, F. (1998). On the temporal dynamics of digit comparison. Journal of Experimental Psychology: Learning, Memory, and Cognition, 24, 1275-1293.

  20. Schwarz, W. & H.-J. Heinze (1998). On the interaction of numerical and size information in digit comparison: A Behavioral and Event-Related Potential (ERP) Study. Neuropsychologia, 36, 1167-1179.

  21. Foley, J. & Schwarz, W. (1998). Spatial attention: Effect of position uncertainty and number of distractor patterns on the threshold vs. contrast (TvC) function for contrast discrimination. Journal of the Optical Society of America, A, 15, 1036-1047.

  22. Schwarz, W. (1996). Further tests of the interactive race model of divided attention: The effects of negative bias and varying stimulus-onset asynchronies. Psychological Research, 58, 233-245.

  23. Schwarz, W. & Mecklinger, A. (1995). Relationship between flanker identifiability and compatibility effect. Perception & Psychophysics, 57, 1045-1052.

  24. Schwarz, W. (1995). Über zeitliche Koinzidenzen und Lücken in Erneuerungsprozessen[On temporal coincidences and gaps in renewal processes]. Der Mathematische und Naturwissenschaftliche Unterricht, 48, 471-476.

  25. Schwarz, W. (1994). Diffusion, superposition, and the redundant-targets effect. Journal of Mathematical Psychology, 38, 504-520.

  26. Schwarz, W. & Ischebeck, A. (1994). Coactivation and statistical facilitation in the detection of lines. Perception, 23, 157-168.

  27. Schwarz, W. (1994). Random walk models of digit comparison: Some problems and a solution. In: G.H. Fischer & D. Laming (Eds.), Contributions to Mathematical Psychology, Psychometrics, and Methodology, pp. 195-205. New York: Springer Verlag.

  28. Schwarz, W. (1993). On the degree of dependence of F tests based on a common denominator. Methodika, 7, 120-129.

  29. Schwarz, W. (1993). Das Ehrenfestsche Diffusionsmodell als eine Markovkette mit zwei Zuständen [The Ehrenfest diffusion model as a two-state Markov chain]. Der Mathematische und Naturwissenschaftliche Unterricht, 36, 451-453.

  30. Schwarz, W. (1993). Coincidence detectors and two pulse temporal integration: New theoretical results and comparison with data. Biological Cybernetics, 69, 173-182.

  31. Schwarz, W. (1993). A diffusion model of early visual search: Theoretical analysis and experimental results. Psychological Research, 55, 200-207.

  32. Schwarz, W. (1992). Do two eyes really see more than one? Journal of Mathematical Psychology, 36, 269-277.

  33. Schwarz, W. (1992). The Wiener process between a reflecting and an absorbing barrier. Journal of Applied Probability, 29, 597-604.
    Englischsprachige Kurzfassung in German Journal of Psychology, 2002, 16, 290-291.

  34. Schwarz, W. (1992). On certain transformations useful for random utility models. Methodika, 6, 8-12.

  35. Schwarz, W. (1992). English short version of: On certain transformations useful for random utility models. German Journal of Psychology, 16, 290-291.

  36. Schwarz, W. (1991). Experimente und Modelle zur sequentiellen Integration von Information. Zeitschrift für experimentelle und angewandte Psychologie, 38, 457-479.

  37. Schwarz, W. (1991). Rational analysis will not throw off the yoke of the precision-importance trade-off function. Behavioral and Brain Sciences, 14, 501-502.

  38. Schwarz, W. (1991). Variance results for random walk models of choice reaction time. British Journal of Mathematical and Statistical Psychology, 44, 251-264.

  39. Vorberg, D. & Schwarz, W. (1990). Rasch-representable reaction time distributions. Psychometrika, 55, 617-632.

  40. Schwarz, W. (1990). Experimental and theoretical results for some models of random dot pattern discrimination. Psychological Research, 52, 299-305.

  41. Schwarz, W. (1990). Stochastic accumulation of information in discrete time: Comparing exact results and Wald-approximations. Journal of Mathematical Psychology, 34, 229-236.

  42. Schwarz, W. (1989). Einige exakte Resultate für Random-Walk Modelle mit Anwendungen [Some exact results for random walk models with applications]. Zeitschrift für experimentelle und angewandte Psychologie, 36, 101-117.

  43. Schwarz, W. (1989). A new model to explain the redundant-signals effect. Perception & Psychophysics, 46, 498-500.

  44. Schwarz, W. (1989). The generalized Bouman-van der Velden quantum coincidence detector. Biological Cybernetics, 61, 315-318.

  45. Schwarz, W. (1989). A general counter model for refractory phenomena. Journal of Mathematical Psychology, 33, 473-495.

  46. Vorberg, D. & Schwarz, W. (1988). Reply to Gregson. Naturwissenschaften, 75, 270.

  47. Schwarz, W. (1988). Die Methode der Reinen Einfügung: Ein Überblick und einige neue Resultate [The method of pure insertion: A review and some new results]. Zeitschrift für Psychologie, 196, 247-263.

  48. Schwarz, W. (1988). A theoretical note on R. Ulrich, 'Threshold models of temporal-order judgments evaluated by a ternary response task'. Perception & Psychophysics, 44, 500.

  49. Schwarz, W. (1988). Approximating the birthday problem. American Statistician, 42, 195-196.

  50. Vorberg, D. & Schwarz, W. (1987). Oscillatory mechanisms in human reaction times? Naturwissenschaften, 74, 446-447.


  1. Schwarz, W. (2008). 40 puzzles and problems in probability and mathematicalstatistics. New York: Springer-Verlag, Problem Series in Mathematics. ISBN 978-0-387-73511-5