On producing random binary sequences.

This experiment addressed the opinion prevailing among researchers that people are poor at producing random binary sequences. Participants tried to produce sets of sequences of outcomes of imaginary coin tosses that could not be distinguished statistically from sets expected from actual coin tossing. The results generally support the conclusion that people are not very good at this task, although the distributional properties of the sets of sequences produced are qualitatively similar to those expected of sets produced by a random process. The results do not support the common finding that people consistently produce substantially more alternations and fewer repetitions than would be produced by chance, nor do they provide evidence of the pervasive operation of a gambler's fallacy manifesting itself in a tendency for an alternation to increase with the length of a preceding run.

[1]  A. Tversky,et al.  Subjective Probability: A Judgment of Representativeness , 1972 .

[2]  P BAKAN,et al.  Response-tendencies in attempts to generate random binary series. , 1960, The American journal of psychology.

[3]  W. A. Wagenaar Generation of random sequences by human subjects: A critical survey of literature. , 1972 .

[4]  Yigal Attali,et al.  Seek Whence , 2002 .

[5]  M. Jarvik,et al.  Probability learning and a negative recency effect in the serial anticipation of alternative symbols. , 1951, Journal of experimental psychology.

[6]  Yaakov Kareev,et al.  Not that bad after all : generation of random sequences , 1992 .

[7]  A. Rapoport,et al.  Generation of random series in two-person strictly competitive games , 1992 .

[8]  Alexander Pollatsek,et al.  Inconsistencies in Students' Reasoning about Probability. , 1993 .

[9]  A. Neuringer Can people behave "randomly?": The role of feedback. , 1986 .

[10]  L. D. Goodfellow,et al.  The Human Element in Probability , 1940 .

[11]  D. Budescu Analysis of dichotomous variables in the presence of serial dependence. , 1985 .

[12]  W. A. Wagenaar Subjective randomness and the capacity to generate information , 1970 .

[13]  M. Treisman,et al.  Generation of random sequences by human subjects: Cognitive operations or psychological process? , 1987 .

[14]  Michael Kubovy,et al.  Apparent randomness is not always the complement of apparent order. , 1991 .

[15]  David V. Budescu,et al.  The elusive wishful thinking effect , 1995 .

[16]  S. Wiegersma A control theory of sequential response production , 1982 .

[17]  M. Bar-Hillel,et al.  Guess Where: The Position of Correct Answers in Multiple-Choice Test Items as a Psychometric Variable , 2003 .

[18]  R. Nickerson,et al.  The production and perception of randomness. , 2002, Psychological review.

[19]  W. Wagenaar,et al.  The perception of randomness , 1991 .

[20]  G. Yacorzynski Perceptual principles involved in the disintegration of a configuration formed in predicting the occurrence of patterns selected by chance. , 1941 .

[21]  B. M. Ross Randomization of a binary series. , 1955, The American journal of psychology.

[22]  Lola L. Lopes,et al.  Distinguishing between random and nonrandom events. , 1987 .