Determination of the number of independent parameters of a score matrix from the examination of rank orders

作者: Joseph F. Bennett

DOI: 10.1007/BF02296304

关键词: PsychometricsScore matrixMathematicsLinear functionCombinatoricsThurstone scaleRank (linear algebra)

摘要: … set S of d + 2 subjects can be separated into two subsets S* and S -- S* such that no linear function of d variables can rank all S* over all S -- S*, and vice versa. When these results are …

参考文章(2)
Louis Leon Thurstone, Multiple-factor analysis ,(1947)
Clyde H. Coombs, Psychological scaling without a unit of measurement. Psychological Review. ,vol. 57, pp. 145- 158 ,(1950) , 10.1037/H0060984