Conjoint Design and Analysis of the Bilinear Model: An Application to Judgments of Risk

Abstract Conjoint measurement tests which are applicable to a (2 × 2) × (2 × 2) experimental design for the study of the general bilinear model are developed. The tests permit detecting the cause of each failure of the data to satisfy the model, and of measuring the tradeoffs between variables when the model is satisfied. All tests and analyses are illustrated with an application of the model to the assessment of the riskiness of gambles. The method is compared with the use of duplex gambles and other compound and contingent compositions in terms of their appropriate roles in the study of the decision process.

[1]  Lily C. Huang A nonsimple conjoint measurement model , 1975 .

[2]  I. Ajzen,et al.  Belief, Attitude, Intention, and Behavior: An Introduction to Theory and Research , 1977 .

[3]  H. Helson,et al.  Adaptation-level theory , 1964 .

[4]  Paul E. Lehner,et al.  Evaluation of two alternative models for a theory of risk: I. Are moments of distributions useful in assessing risk? , 1981 .

[5]  W. Edwards The prediction of decisions among bets. , 1955, Journal of experimental psychology.

[6]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[7]  N. Feather Expectations and Actions , 2021 .

[8]  R. Dawes,et al.  Linear models in decision making. , 1974 .

[9]  Jaap Van Brakel,et al.  Foundations of measurement , 1983 .

[10]  J. W. Atkinson Motivational determinants of risk-taking behavior. , 1957, Psychological review.

[11]  K. Michael Aschenbrenner,et al.  Single-peaked risk preferences and their dependability on the gambles' presentation mode. , 1978 .

[12]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[13]  M. J. Rosenberg A STRUCTURAL THEORY OF ATTITUDE DYNAMICS , 1960 .

[14]  George P. Huber,et al.  Multi-Attribute Utility Models: A Review of Field and Field-Like Studies , 1974 .

[15]  S. James Press,et al.  International Encyclopedia of Statistics , 1978 .

[16]  John W. Payne,et al.  Preferences among gambles with equal underlying distributions , 1971 .

[17]  Paul Slovic,et al.  The relative influence of probabilities and payoffs upon perceived risk of a gamble , 1967 .

[18]  Robert G. Easierling An Anatomy of Risk , 1977 .

[19]  C. Coombs A theory of data. , 1965, Psychology Review.

[20]  R. Hogarth,et al.  BEHAVIORAL DECISION THEORY: PROCESSES OF JUDGMENT AND CHOICE , 1981 .

[21]  J. M. Kittross The measurement of meaning , 1959 .

[22]  John W. Payne,et al.  Contingent decision behavior. , 1982 .

[23]  P. Slovic,et al.  Relative importance of probabilities and payoffs in risk taking , 1968 .

[24]  Hans J. Berliner,et al.  Chess as problem solving: the development of a tactics analyzer. , 1975 .

[25]  H. Lindman Inconsistent preferences among gambles. , 1971 .

[26]  Milan Zeleny,et al.  An Anatomy of Risk , 1978 .

[27]  C. Osgood,et al.  The Measurement of Meaning , 1958 .

[28]  H. Triandis The analysis of subjective culture , 1973 .

[29]  Clyde H. Coombs,et al.  Additivity of risk in portfolios , 1971 .

[30]  N. Anderson,et al.  Information integration in risky decision making , 1970 .

[31]  A. Tversky,et al.  Foundations of Measurement, Vol. I: Additive and Polynomial Representations , 1991 .