Conditional Association and Unidimensionality in Monotone Latent Variable Models

On etudie une classe de modeles de variables latentes dans lesquels la variable latente est un scalaire, les variables observables sont independantes de facon conditionnelle etant donne la variable latente et la distribution conditionnelle des observables est stochastiquement croissante dans la variable latente etant donne celle-ci

[1]  E. Lehmann.  Ordered Families of Distributions , 1955 .

[2]  A. Basilevsky,et al.  Factor Analysis as a Statistical Method. , 1964 .

[3]  A. E. Maxwell,et al.  Factor Analysis as a Statistical Method. , 1964 .

[4]  Melvin R. Novick,et al.  Some latent train models and their use in inferring an examinee's ability , 1966 .

[5]  E. Lehmann.  Some Concepts of Dependence , 1966 .

[6]  D. Walkup,et al.  Association of Random Variables, with Applications , 1967 .

[7]  M. R. Novick,et al.  Statistical Theories of Mental Test Scores. , 1971 .

[8]  F. Samejima.  Estimation of latent ability using a response pattern of graded scores , 1968 .

[9]  M. Kimura,et al.  An introduction to population genetics theory , 1971 .

[10]  F. Proschan,et al.  A Reliability Bound for Systems of Maintained, Interdependent Components , 1970 .

[11]  R. Darrell Bock,et al.  Fitting a response model forn dichotomously scored items , 1970 .

[12]  C. Fortuin,et al.  Correlation inequalities on some partially ordered sets , 1971 .

[13]  Regina C. Elandt-Johnson,et al.  Probability models and statistical methods in genetics , 1972 .

[14]  R. Darrell Bock,et al.  Estimating item parameters and latent ability when responses are scored in two or more nominal categories , 1972 .

[15]  N. Blumberg.  Textbook of Human Genetics , 1972, The Yale Journal of Biology and Medicine.

[16]  B. N. Curnow,et al.  Probability Models and Statistical Methods in Genetics , 1973 .

[17]  A. E. Maxwell,et al.  Factor Analysis as a Statistical Method. , 1964 .

[18]  L. A. Goodman.  Exploratory latent structure analysis using both identifiable and unidentifiable models , 1974 .

[19]  C. Preston.  Gibbs States on Countable Sets , 1974 .

[20]  M. Levitan.  Textbook of Human Genetics , 1976 .

[21]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[22]  T. Kamae,et al.  Stochastic Inequalities on Partially Ordered Spaces , 1977 .

[23]  K. Jogdeo,et al.  On a Probability Bound of Marshall and Olkin , 1978 .

[24]  J. Kingman.  Uses of Exchangeability , 1978 .

[25]  S. Karlin,et al.  Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions , 1980 .

[26]  Y. Tong.  Probability Inequalities in Multivariate Distributions , 1980 .

[27]  I. Olkin,et al.  Inequalities: Theory of Majorization and Its Applications , 1980 .

[28]  Harvey Goldstein,et al.  Dimensionality, bias, independence and measurement scale problems in latent trait test score models , 1980 .

[29]  Erling B. Andersen,et al.  Discrete Statistical Models with Social Science Applications. , 1980 .

[30]  P. Holland.  When are item response models consistent with observed data? , 1981 .

[31]  Georg Rasch,et al.  Probabilistic Models for Some Intelligence and Attainment Tests , 1981, The SAGE Encyclopedia of Research Design.

[32]  Frank Proschan,et al.  Generalized Association, with Applications in Multivariate Statistics , 1981 .

[33]  Norman E. Breslow,et al.  Odds ratio estimators when the data are sparse , 1981 .

[34]  Patrick Suppes,et al.  When are Probabilistic Explanations Possible , 1981 .

[35]  Morris L. Eaton,et al.  A Review of Selected Topics in Multivariate Probability Inequalities , 1982 .

[36]  G. Masters.  A rasch model for partial credit scoring , 1982 .

[37]  Tue Tjur,et al.  A Connection between Rasch's Item Analysis Model and a Multiplicative Poisson Model , 1982 .

[38]  K. Joag-dev.  Independence Via Uncorrelatedness Under Certain Dependence Structures , 1983 .

[39]  S. Karlin,et al.  M-Matrices as covariance matrices of multinormal distributions☆ , 1983 .

[40]  Noel A Cressie,et al.  Characterizing the manifest probabilities of latent trait models , 1983 .

[41]  P. Rosenbaum.  Testing the conditional independence and monotonicity assumptions of item response theory , 1984 .

[42]  David J. Bartholomew.  The foundations of factor analysis , 1984 .

[43]  P. Rosenbaum.  Comparing distributions of item responses for two groups , 1985 .