, Volume 36, Issue 2, pp 135–154 | Cite as

A dual scaling analysis for paired compositions

  • Gordon G. Bechtel


A paired composition is a response (upon a dependent variable) to the ordered pair <j, k> of stimuli, treatments, etc. The present paper develops an alternative analysis for the paired compositions layout previously treated by Bechtel's [1967] scaling model. The alternative model relaxes the previous one by including row and column scales that provide an expression of bias foreach pair of objects. The parameter estimation and hypothesis testing procedures for this model are illustrated by means of a small group analysis, which represents a new approach to pairwise sociometrics and personality assessment.


Parameter Estimation Small Group Public Policy Hypothesis Testing Testing Procedure 
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  1. Bechtel, G. G. The analysis of variance and pairwise scaling.Psychometrika, 1967,32, 47–65.Google Scholar
  2. Bock, R. D., & Jones, L. V.The measurement and prediction of judgment and choice. San Francisco: Holden-Day, 1968.Google Scholar
  3. Gulliksen, H. Measurement of subjective values.Psychometrika, 1956,21, 229–244.Google Scholar
  4. Hicks, J. M., & Campbell, D. T. Zero-point scaling as affected by social object, scaling method, and context.Journal of Personality and Social Psychology, 1965,2, 793–808.Google Scholar
  5. Horst, P. A method for determining the absolute affective value of a series of stimulus situations.The Journal of Educational Psychology, 1932,23, 418–440.Google Scholar
  6. Jones, L. V. Invariance of zero-point scaling over changes in stimulus context.Psychological Bulletin, 1967,67, 153–164.Google Scholar
  7. Lev, J., & Kinder, E. F. New analysis of variance formulas for treating data from mutually paired subjects.Psychometrika, 1957,22, 1–15.Google Scholar
  8. Patterson, G. R., Ray, R., & Shaw, D. Reprogramming in the families of deviant children, In M. Jessen (Ed.),Increasing educational effectiveness: Sensitivity, creativity, innovation. Published proceedings of California Association of School Psychologists and Psychometrists, 1968.Google Scholar
  9. Patterson, G. R., & Reid, J. Reciprocity and coercion: Two facets of social systems. In J. Michaels & C. Neuringer (Eds.),Behavior modification for clinical psychologists. New York: Appleton-Century-Crofts, 1970, in press.Google Scholar
  10. Quenouille, H. M.Design and analysis of experiments. New York: Hafner, 1953.Google Scholar
  11. Rao, C. R.Linear statistical inference and its applications. New York: Wiley, 1965.Google Scholar
  12. Scheffe, H.The analysis of variance. New York: Wiley, 1959.Google Scholar
  13. Thurstone, L. L., & Jones, L. V. The rational origin for measuring subjective values.Journal of the American Statistical Association, 1957,52, 458–471.Google Scholar
  14. Yates, F. Analysis of data from all possible reciprocal crosses between a set of parental lines.Heredity, 1947,1, 287–301.Google Scholar

Copyright information

© Psychometric Society 1971

Authors and Affiliations

  • Gordon G. Bechtel
    • 1
  1. 1.Oregon Research InstituteUSA

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