Cross-task validation of functional measurement

Ss judged average heaviness of two unseen lifted weights on a 20-step rating scale. They also rated heaviness of a single visible object of variable size and weight. The data for each task obeyed the parallelism prediction of the linear integration model. This within-task consistency validates jointly the model and the response scale. Functional measurement procedure yielded independent scales of subjective heaviness from each task. These were linearly related, a criterion of external consistency. The plot of subjective heaviness against objective weight was slightly negatively accelerated. These results disagree with those that have been obtained with magnitude estimation. Since the rating data satisfy both internal and external consistency, they constitute the true measure of sensation. Magnitude estimation, in contrast, must be biased and invalid.

[1]  Norman H. Anderson,et al.  Stimulus averaging and the context for judgment , 1968 .

[2]  D. W. Curtis,et al.  Direct quantitative judgments of sums and a two-stage model for psychophysical judgments , 1969 .

[3]  Joseph L. Zinnes,et al.  Theory and Methods of Scaling. , 1958 .

[4]  J. Mandel,et al.  The Statistical Analysis of Experimental Data. , 1965 .

[5]  D. Weiss Averaging: An empirical validity criterion for magnitude estimation , 1972 .

[6]  R. M. Warren,et al.  Effect of the relative volume of standard and comparison-object on half-heaviness judgments. , 1956, The American journal of psychology.

[7]  F. Craik,et al.  Naming and decision processes in short-term recognition memory. , 1971, Journal of experimental psychology.

[8]  N. Anderson,et al.  Further data on a weighted average model for judgment in a lifted weight task , 1968 .

[9]  Michel Treisman,et al.  Sensory Scaling and the Psychophysical Law , 1964 .

[10]  L. Marks Stimulus-range, number of categories, and form of the category-scale. , 1968, The American journal of psychology.

[11]  N. Anderson,et al.  Test of a multiplying model for estimated area of rectangles. , 1971, The American journal of psychology.

[12]  S. S. Stevens On the psychophysical law. , 1957, Psychological review.

[13]  S. S. Stevens,et al.  Ratio scales and category scales for a dozen perceptual continua. , 1957, Journal of experimental psychology.

[14]  Thomas L. Harrington,et al.  A test of a two-stage model of magnitude judgment , 1968 .

[15]  Norman H. Anderson,et al.  Integration theory applied to judgments of the value of information , 1972 .

[16]  N. Anderson Functional measurement and psychophysical judgment. , 1970, Psychological review.

[17]  N. Anderson Application of a weighted average model to a psychophysical averaging task , 1967 .

[18]  J P GUILFORD,et al.  A validation study of ratio-judgment methods. , 1954, The American journal of psychology.

[19]  N. Anderson Averaging model applied to the size-weight illusion , 1970 .

[20]  W. R. Garner A Technique and a Scale for Loudness Measurement , 1954 .

[21]  S. S. Stevens,et al.  A psychological scale of weight and a formula for its derivation. , 1948, The American journal of psychology.

[22]  G. Goude,et al.  On fundamental measurement in psychology , 1962 .

[23]  N. Anderson On the quantification of Miller's conflict theory. , 1962, Psychological review.

[24]  J. Beck,et al.  Ratio-estimations of loudness-intervals. , 1967, The American journal of psychology.

[25]  S. S. Stevens Issues in psychophysical measurement. , 1971 .

[26]  J. Guilford Psychometric methods, 2nd ed. , 1954 .

[27]  M. Birnbaum,et al.  Contextual effects in information integration. , 1971, Journal of experimental psychology.

[28]  N. Anderson,et al.  Use of rank order data in functional measurement. , 1972 .

[29]  N. Anderson,et al.  Subjective averaging of length with serial presentation , 1969 .

[30]  K E BAKER,et al.  Weight scales from ratio judgments and comparisons of existent weight scales. , 1955, Journal of experimental psychology.

[31]  Gösta Ekman,et al.  Two Generalized Ratio Scaling Methods , 1958 .

[32]  J. Guilford A generalized psychophysical law. , 1932 .

[33]  Lee L. Rubin,et al.  Psychophysical scales of apparent heaviness and the size-weight illusion , 1970 .

[34]  R. F. Fagot,et al.  Tests of product and additive scaling axioms , 1969 .

[35]  N. Anderson Test of adaptation-level theory as an explanation of a recency effect in psychophysical integration. , 1971, Journal of experimental psychology.

[36]  E. Poulton The new psychophysics: Six models for magnitude estimation. , 1968 .