Children's use of sample size and variability to make social inferences

Learning to generalize from instances is an important part of the development of inductive reasoning skills. This study examined developmental trends in elementary school children's use of sample size and variability to make inferences about commonly encountered biological and behavioral characteristics. Children in grades 1, 3, and 5, and college students made population estimates based on samples in which both sample size and variability were manipulated. Subjects of all ages used sample size and variability to make their population estimates. Even the youngest children gave significantly lower population estimates for low-variability than for high-variability samples, and for smaller (one or three) than for larger (30) samples. Although the use of sample size depended on variability, this relationship did not change by age group. Variability and domain, however, each independently interacted with age group. Most of the differences in population estimates appeared to be due to sample variability rather than to sample size.

[1]  E. Higgins,et al.  Consensus information and fundamental attribution error: The role of development and in-group versus out-group knowledge. , 1982 .

[2]  C. Moore,et al.  The Developmental Role of Intuitive Principles in Choosing Mathematical Strategies. , 1996 .

[3]  P. Klaczynski,et al.  Everyday statistical reasoning during adolescence and young adulthood: motivational, general ability, and developmental influences. , 1996, Child development.

[4]  E. Gibson How to think about perceptual learning: Twenty-five years later. , 1992 .

[5]  D. Stipek,et al.  Children's use of dispositional attributions in predicting the performance and behavior of classmates☆ , 1990 .

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

[7]  James P. Byrnes,et al.  Decision-making in young adolescents and adults. , 1994, Journal of experimental child psychology.

[8]  Michael Lewis,et al.  Social cognition and the acquisition of self , 1979 .

[9]  D. Krantz,et al.  The effects of statistical training on thinking about everyday problems , 1986, Cognitive Psychology.

[10]  C. Gallistel The organization of learning , 1990 .

[11]  H. Tajfel Social identity and intergroup relations , 1985 .

[12]  D. Krantz,et al.  The use of statistical heuristics in everyday inductive reasoning , 1983 .

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

[14]  Daniel P. Keating,et al.  Perception of numerical invariance in neonates. , 1983, Child development.

[15]  V. Reyna Class inclusion, the conjunction fallacy, and other cognitive illusions , 1991 .

[16]  E. E. Jones,et al.  The perception of variability within in-groups and out-groups: Implications for the law of small numbers. , 1980 .

[17]  Kevin Durkin,et al.  Language in Mathematical Education: Research and Practice , 1991 .

[18]  John H. Flavell,et al.  Social cognitive development : frontiers and possible futures , 1981 .

[19]  James P. Byrnes,et al.  Introduction to the special issue: The development of decision making , 2001 .

[20]  Robbie Case,et al.  The Role of Central Conceptual Structures in the Development of Children's Thought , 1995 .

[21]  E. Markman,et al.  Young children's inductions from natural kinds: the role of categories and appearances. , 1987, Child development.

[22]  E. Spelke,et al.  Numerical abstraction by human infants , 1990, Cognition.

[23]  P. Slovic,et al.  A psychometric study of adolescent risk perception. , 1993, Journal of adolescence.

[24]  B. Koslowski Theory and Evidence: The Development of Scientific Reasoning , 1996 .

[25]  Prentice Starkey,et al.  The early development of numerical reasoning , 1992, Cognition.

[26]  L. Schauble The development of scientific reasoning in knowledge-rich contexts. , 1996 .

[27]  R. Hastie,et al.  Perception of variability in category development: Instance- versus abstraction-based stereotypes. , 1987 .

[28]  R. Siegler Children's Thinking : What Develops? , 1978 .

[29]  S. Carey Conceptual Change in Childhood , 1985 .

[30]  A. Tversky,et al.  BELIEF IN THE LAW OF SMALL NUMBERS , 1971, Pediatrics.

[31]  E. J. Capaldi,et al.  The Development of numerical competence : animal and human models , 1993 .

[32]  A. Kruglanski,et al.  Lay persons' sensitivity to statistical information: The case of high perceived applicability. , 1984 .

[33]  J. Jacobs,et al.  Children's perceptions of the risk of sexual abuse. , 1995, Child abuse & neglect.

[34]  Linda B. Smith,et al.  Object properties and knowledge in early lexical learning. , 1991, Child development.

[35]  Jonathan Baron,et al.  Decision-making biases in children and early adolescents: exploratory studies , 1993 .

[36]  Robert S. Siegler,et al.  The Development of Numerical Understandings , 1982 .

[37]  Barbara Koslowski,et al.  When covariation is not enough: The role of causal mechanism, sampling method, and sample size in causal reasoning. , 1989 .

[38]  J. Jacobs,et al.  Developmental differences in baserate estimates of social behaviors and attitudes , 1995 .

[39]  Lauren B. Resnick,et al.  Developing mathematical knowledge. , 1989 .

[40]  R. Case,et al.  Introduction: reconceptualizing the nature of children's conceptual structures and their development in middle childhood. , 2008, Monographs of the Society for Research in Child Development.

[41]  H. Wellman,et al.  Insides and essences: Early understandings of the non-obvious , 1991, Cognition.

[42]  R. Nisbett,et al.  The psychometrics of everyday life , 1986, Cognitive Psychology.

[43]  Richard E. Nisbett,et al.  Prediction and the partial understanding of the law of large numbers , 1986 .

[44]  Gerd Gigerenzer,et al.  Presentation and content: The use of base rates as a continuous variable. , 1988 .

[45]  D. Davidson,et al.  The Representativeness Heuristic and the Conjunction Fallacy Effect in Children's Decision Making. , 1995 .

[46]  Maria T. Potenza,et al.  The use of judgment heuristics to make social and object decisions: a developmental perspective , 1991 .

[47]  S. Worchel,et al.  Psychology of intergroup relations , 1986 .

[48]  W. Hays Statistics for the social sciences , 1973 .

[49]  G. Keppel,et al.  Design and Analysis: A Researcher's Handbook , 1976 .

[50]  K. Powlishta Intergroup Processes in Childhood: Social Categorization and Sex Role Development. , 1995 .

[51]  SCIENTIFIC THINKING AND KNOWLEDGE ACQUISITION , 1995 .

[52]  M. Schaller Sample size, aggregation, and statistical reasoning in social inference ☆ , 1992 .

[53]  P. Klaczynski,et al.  Self-Serving Influences on Adolescents' Evaluations of Belief-Relevant Evidence , 1996, Journal of experimental child psychology.

[54]  L. Beach,et al.  Man as an Intuitive Statistician , 2022 .

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

[56]  The development of causality in infancy: a symposium , 1984 .

[57]  B. Mellers,et al.  Bayesian inference: Combining base rates with opinions of sources who vary in credibility. , 1983 .

[58]  E. Rosch,et al.  Family resemblances: Studies in the internal structure of categories , 1975, Cognitive Psychology.

[59]  L. Ross,et al.  The Person and the Situation: Perspectives of Social Psychology , 1991 .

[60]  Terri Gullickson,et al.  Annals of Child Development , 1995 .

[61]  C. Golomb,et al.  Make Believe and Reality: Explorations of the Imaginary Realm. , 1995 .

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

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

[64]  Toward a comparative psychology of number , 1991, Cognition.

[65]  D. Stipek,et al.  Children's use of dispositions to predict classmates' behavior , 1993 .

[66]  Charles M. Judd,et al.  Measures and models of perceived group variability. , 1990 .

[67]  F. Moghaddam,et al.  Trivial and Important Criteria for Social Categorization in the Minimal Group Paradigm , 1986 .

[68]  H. Wellman,et al.  Cognitive development: foundational theories of core domains. , 1992, Annual review of psychology.

[69]  D. Ruble,et al.  Locus of causality and the use of information in the development of causal attributions1 , 1979 .

[70]  J. Piaget,et al.  The Child's Conception of the World , 1971 .

[71]  M. Rothbart,et al.  Perception of Out-Group Homogeneity and Levels of Social Categorization: Memory for the Subordinate Attributes of In-Group and Out-Group Members , 1982 .

[72]  E. Markman,et al.  Categories and induction in young children , 1986, Cognition.