Natural sample spaces and uncertain belief.

This article proposes a novel framework for understanding judgments of probability. Both accurate and inaccurate judgments are conceptualized in terms of the sets of information, or sample spaces, on which they are based. When appropriate sample spaces are easily accessed from memory (e.g., when they correspond to natural cognitive categories), people will make relatively accurate judgments; otherwise, people may substitute more accessible but inappropriate sample spaces and make judgment errors. In 3 experiments, the sample space framework was applied to account for the base rate fallacy. Results showed that (a) people spontaneously access sample spaces that correspond to natural categories, (b) reliance on inappropriate sample spaces produces the base rate fallacy, and (c) highlighting appropriate sample spaces improves the sensitivity of people's judgments to base rates. Discussion extends the framework to explain accuracy and error in other judgment domains.

[1]  R. Hogarth,et al.  Judging probable cause. , 1986 .

[2]  G. A. Miller,et al.  Book Review Nisbett, R. , & Ross, L.Human inference: Strategies and shortcomings of social judgment.Englewood Cliffs, N.J.: Prentice-Hall, 1980. , 1982 .

[3]  Russell H. Fazio,et al.  A practical guide to the use of response latency in social psychological research. , 1990 .

[4]  K. Fiedler The dependence of the conjunction fallacy on subtle linguistic factors , 1988 .

[5]  D. Medin,et al.  Problem structure and the use of base-rate information from experience. , 1988, Journal of experimental psychology. General.

[6]  T. K. Srull,et al.  Handbook of Social Cognition , 1993 .

[7]  S. Fiske,et al.  The Handbook of Social Psychology , 1935 .

[8]  I. Gavanski,et al.  Awareness of influences on one's own judgments: the roles of covariation detection and attention to the judgment process , 1987 .

[9]  Christian S. Crandall,et al.  Understanding the Conjunction Fallacy: A Conjunction of Effects? , 1986 .

[10]  Henry Zukier The dilution effect: The role of the correlation and the dispersion of predictor variables in the use of nondiagnostic information. , 1982 .

[11]  B. Fischhoff,et al.  Diagnosticity and the base-rate effect , 1984, Memory & cognition.

[12]  Eugene Borgida,et al.  The Conjunction Fallacy , 1984 .

[13]  R. Nisbett,et al.  The dilution effect: Nondiagnostic information weakens the implications of diagnostic information , 1981, Cognitive Psychology.

[14]  I. Gavanski,et al.  Representativeness and conjoint probability. , 1991, Journal of personality and social psychology.

[15]  Assessing Influences on One's Own Judgments: Is There Greater Accuracy for Either Subjectively Important or Objectively Influential Variables? , 1986 .

[16]  Wayne D. Gray,et al.  Basic objects in natural categories , 1976, Cognitive Psychology.

[17]  M. Rothbart,et al.  Category labels and social reality: Do we view social categories as natural kinds? , 1992 .

[18]  S. Fein,et al.  The role of typical diagnosticity in stereotype-based judgments. , 1989 .

[19]  J. Kagan,et al.  Rational choice in an uncertain world , 1988 .

[20]  Steven H. Lewis,et al.  Person Perception and Self-Awareness: Knowledge of Influences on One's Own Judgments , 1982 .

[21]  K. A. Ericsson,et al.  Verbal reports as data. , 1980 .

[22]  Gary L. Wells,et al.  Naive Attributors' Attributions and Predictions: What Is Informative and When Is an Effect an Effect? , 1978 .

[23]  L. Beach,et al.  Experience and the base-rate fallacy. , 1982, Organizational behavior and human performance.

[24]  C. F. Bond,et al.  On the unconstrained recall of acquaintances: A sampling-traversal model. , 1985 .

[25]  Maya Bar-Hillel,et al.  The Base Rate Fallacy Controversy , 1983 .

[26]  Baruch Fischhoff,et al.  When Do Base Rates Affect Predictions , 1981 .

[27]  Maya Bar-Hillel,et al.  Representativeness and fallacies of probability judgment , 1984 .

[28]  Introspection and causal accounts. , 1981 .

[29]  Robert S. Siegler,et al.  Strategies for the Use of Base-Rate Information , 1977 .

[30]  M. Posner,et al.  On the genesis of abstract ideas. , 1968, Journal of experimental psychology.

[31]  Thomas E. Nelson,et al.  Everyday base rates (sex stereotypes): Potent and resilient. , 1990 .

[32]  K. Fiedler The tricky nature of skewed frequency tables: An information loss account of distinctiveness-based illusory correlations. , 1991 .

[33]  Nancy E. Avis,et al.  Base rates can affect individual predictions. , 1980 .

[34]  R. Abelson Decision making and decision theory , 1985 .

[35]  Robert S. Wyer,et al.  The role of logical and nonlogical factors in making inferences about category membership , 1977 .

[36]  A. Tversky,et al.  On the psychology of prediction , 1973 .

[37]  Douglas L. Medin,et al.  Context theory of classification learning. , 1978 .

[38]  L. Ross,et al.  Human Inference: Strategies and Shortcomings of Social Judgment. , 1981 .

[39]  A. D. Pearman,et al.  Judgment and Decision Making: An Interdisciplinary Reader , 1999 .

[40]  G. Gigerenzer,et al.  Cognition as Intuitive Statistics , 1987 .

[41]  R. Cattell,et al.  Formal representation of human judgment , 1968 .

[42]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[43]  E. Rosch Cognitive Representations of Semantic Categories. , 1975 .

[44]  Timothy D. Wilson,et al.  Telling more than we can know: Verbal reports on mental processes. , 1977 .

[45]  R. Nosofsky Similarity, frequency, and category representations. , 1988 .

[46]  Anne Locksley,et al.  Social stereotypes and judgments of individuals: An instance of the base-rate fallacy , 1982 .

[47]  M. Fishbein Progress in social psychology , 1980 .

[48]  Steven J. Sherman,et al.  Natural sample spaces and the inversion of conditional judgments , 1992 .

[49]  Paula M. Niedenthal,et al.  Making use of social prototypes: From fuzzy concepts to firm decisions , 1984 .

[50]  P. Cheng,et al.  A bootstrapping solution to the problem of differentiating spurious from genuine causes , 1990 .

[51]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[52]  Lawrence D. Phillips,et al.  Bayesian Statistics for Social Scientists. , 1973 .