# Polynomial Conjoint Measurement

Polynomial conjoint measurement is an extension of the theory of conjoint measurement to three or more attributes. It was initially developed by the mathematical psychologists David Krantz (1968) and Amos Tversky (1967). The theory was given a comprehensive mathematical exposition in the first volume of Foundations of Measurement (Krantz, Luce, Suppes & Tversky, 1971), which Krantz and Tversky wrote in collaboration with the mathematical psychologist R. Duncan Luce and philosopher Patrick Suppes. Krantz & Tversky (1971) also published a non-technical paper on polynomial conjoint measurement for behavioural scientists in the journal Psychological Review.

As with the theory of conjoint measurement, the significance of polynomial conjoint measurement lies in the quantification of natural attributes in the absence of concatenation operations. Polynomial conjoint measurement differs from the two attribute case discovered by Luce & Tukey (1964) in that more complex composition rules are involved.

### Other articles related to "conjoint, conjoint measurement, measurements, polynomial conjoint measurement, polynomials, measurement":

Sawtooth Software - Products
... Sawtooth Software has created products for traditional conjoint analysis, as well as discrete choice analysis and other forms of conjoint ... In addition are non-conjoint products involving interviewing, perceptual mapping, and cluster analysis ... Conjoint Techniques Adaptive Conjoint Analysis (ACA) Choice Based Conjoint (CBC) Conjoint Value Analysis (CVA) Maximum Difference Scaling (MaxDiff) Adaptive Choice Based Conjoint (ACBC ...
Theory Of Conjoint Measurement - Relation To The Scientific Definition of Measurement
... Satisfaction of the conditions of conjoint measurement means that measurements of the levels of A and X can be expressed as either ratios between magnitudes or ratios between ... Formally, if P, A and X form an additive conjoint structure, then there exist functions from A and X into the real numbers such that for a and b in A and x and y in X That is, and are measurements ... However, it is not clear from the literature as to how a unit could be defined within an additive conjoint context ...
Polynomial Conjoint Measurement - Representation Theorems
... falls into one class of three variable simple polynomials by virtue of the joint single cancellation axiom ...
Theory Of Conjoint Measurement
... The theory of conjoint measurement (also known as conjoint measurement or additive conjoint measurement) is a general, formal theory of continuous quantity ... Hence the theory of conjoint measurement can be used to quantify attributes in empirical circumstances where it is not possible to combine the levels of the attributes using a side-by-side operation or ... This means that the scientific measurement of psychological attributes is possible ...
Conjoint
... The conjoint was a basic medical qualification in the United Kingdom administered by the United Examining Board ... The Conjoint Board was superseded in 1994 by the United Examining Board, which lost its permission to hold qualifying medical examinations after 1999 ... Licentiate diploma (LRCP) with the MRCS to create the English Conjoint Diploma in 1884 ...

### Famous quotes containing the word measurement:

That’s the great danger of sectarian opinions, they always accept the formulas of past events as useful for the measurement of future events and they never are, if you have high standards of accuracy.
John Dos Passos (1896–1970)