Hostname: page-component-54dcc4c588-5q6g5 Total loading time: 0 Render date: 2025-10-07T18:31:51.722Z Has data issue: false hasContentIssue false
  • English
  • Français

Psychometric Models of Small Group Collaborations

Published online by Cambridge University Press:  01 January 2025

Peter F. Halpin Open the ORCID record for Peter F. Halpin [Opens in a new window]  and
Yoav Bergner
Peter F. Halpin*
Affiliation:
New York University
Yoav Bergner
Affiliation:
New York University
*
Correspondence should be made to Peter F. Halpin, New York University, 246 Greene Street, Office 204, New York, NY10002, USA. Email: peter.halpin@nyu.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The social combination theory of group problem solving is used to extend existing psychometric models to collaborative settings. A model for pairwise group work is proposed, the implications of the model for assessment design are considered, and its estimation is addressed. The results are illustrated with an empirical example in which dyads work together on a twelfth-grade level mathematics assessment. In conclusion, attention is given to avenues of research that seem most fruitful for advancing current initiatives concerning the assessment of collaboration, teamwork, and related constructs.

Keywords

item response theorysocial combination theoryprocess losssynergygroup work

Information

Type
Original Paper
Information
Psychometrika , Volume 83 , Issue 4 , December 2018 , pp. 941 - 962
Copyright
Copyright © 2018 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Baker, F. B., &Kim, S.-H.(2004).Item response theory: Parameter estimation techniques.(2).New York:Marcel Dekker.CrossRefGoogle Scholar
Boyd, S, Vandenberghe, L(2004).Convex optimization.Cambridge:Cambridge University Press.CrossRefGoogle Scholar
Cohen, E. G.Restructuring the classroom: Conditions for productive small groups(1994).Review of Educational Research.64(1).1–35.CrossRefGoogle Scholar
Davis, J. H.Group decision and social interaction: A theory of social decision schemes(1973).Psychological Review.80(3).97–125.CrossRefGoogle Scholar
Davis, J. H.Some compelling intuitions about group consensus decisions, theoretical and empirical research, and interpersonal aggregation phenomena: Selected examples, 1950–1990(1992).Organizational Behavior and Human Decision Processes.52,3–38.CrossRefGoogle Scholar
Fiore, S. M., Graesser, A., Greiff, S., Griffin, P., Gong, B., Kyllonen, P., et al. ((2017).). Collaborative problem solving: Considerations for the National Assessment of Educational Progress. National Center for Educational Statistics, Washington, DC: Technical report.Google Scholar
Griffin, P.,Care, E.(2015).Assessment and teaching of 21st century skills: Methods and approach.New York, NY:Springer.CrossRefGoogle Scholar
Heckman, J. J., & Kautz, T. ((2014).). Fostering and measuring skills: Interventions that improve character and cognition. Working Paper No. 19656. Cambridge, MA: National Bureau of Economic Research.Google Scholar
Herman, J., & Hilton, M. ((2017).). Supporting students’ college success: The role of assessment of intrapersonal and interpersonal competencies. Washington, DC: The National Academies Press.Google Scholar
Holland, P. W.,Rosenbaum, P. R.Conditional association and unidimensionality in monotone latent variable models(1986).The Annals of Statistics.14(4).1523–1543.CrossRefGoogle Scholar
Junker, B. W., Sijtsma, K.Cognitive assessment models with few assumptions, and connections with nonparametric item response theory(2001).Applied Psychological Measurement.25(3).258–272.CrossRefGoogle Scholar
Larson, J. R.(2010).In search of synergy in small group performance.New York, NY:Taylor & Francis Group.Google Scholar
Laughlin, P. R., &Fishbein, M. E.Social combination processes of cooperative, problem-solving groups as verbal intellective tasks(1980).Progress in social psychology.Hillsdale, NJ:Erlbaum.127–155.Google Scholar
Laughlin, P. R.(2013).Group problem solving.Princeton, NJ:Princeton University Press.Google Scholar
Levine, M. V., &Rubin, D. B.Measuring the appropriateness of multiple-choice test scores(1979).Journal of Educational Statistics.4 269–290.CrossRefGoogle Scholar
Lippman, L. H., Ryberg, R., Carney, R., & Moore, K. A. ((2015).). Key “soft skills” that foster youth workforce success: Toward a consensus across fields. Child Trends Publication #2015–24. Washington, DC: Child Trends, Incl.Google Scholar
Lorge, I., &Solomon, H.Two models of group behavior in the solution of eureka-type problems(1955).Psychometrika.20(2).139–148.CrossRefGoogle Scholar
Mathieu, J. E.,Maynard, T. M.,Rapp, T., &Gilson, L.Team effectiveness 1997–2007: A review of recent advancements and a glimpse into the future(2008).Journal of Management.34(3).410–476.CrossRefGoogle Scholar
McGrath, J. E. (1984). Groups: Interaction and performance. Englewood Cliffs, NJ: Prentice Hall.Google Scholar
Muthén, B. O., &Satorra, A.Complex sample data in structural equation modeling(1995).Sociological Methodology.25 216–316.CrossRefGoogle Scholar
Muthén, L. K., &Muthén, B. O.(2017).Mplus 8 [computer software].Los Angeles, CA:Muthén & Muthén.Google Scholar
National Research Council. ((2011).). Assessing 21st century skills. Washington, DC:: The National Academies Press..Google Scholar
National Research Council. ((2015).). Measuring human capabilities. Washington, DC:: The National Academies Press..Google Scholar
OECD. ((2017).). PISA 2015 results, volume V: Collaborative problem solving. Paris:: PISA, OECD Publishing..Google Scholar
Pellegrino, J. W., & Hilton, M. L. ((2012).). Education for life and work: Developing transferable knowledge and skills in the 21st century. Washington, DC:: National Academies Press..Google Scholar
Reckase, M.(2009).Multidimensional item response theory.New York:Springer.CrossRefGoogle Scholar
Satorra, A., &Bentler, P. M.Ensuring positiveness of the scaled chi square test statistic(2010).Psychometrika.75(2).243–248.CrossRefGoogle ScholarPubMed
Shiflett, S.Toward a general model of small group productivity(1979).Psychological Bulletin.86(1).67–79.CrossRefGoogle Scholar
Smoke, W. H.,Zajonc, R. B.,Criswell, J. H.,Solomon, H., &Suppes, P.On reliability of group judgements and decisions(1962).Mathematical Methods in Small Group Processes.Stanford, CA:Stanford University Press.322–333.Google Scholar
Steiner, I. D.(1972).Group processes and productivity.New York, NY:Academic Press.Google Scholar
von Davier, A.,Kyllonen, P., &Zhu, M.(2017).Innovative assessments of collaboration.New York, NY:Springer.CrossRefGoogle Scholar
Webb, N. M.Group collaboration in assessment: Multiple objectives, processes, and outcomes(1995).Educational Evaluation and Policy Analysis.17(2).239–261.CrossRefGoogle Scholar