Research on Latent Variable Models


Knott, M., M. T. Albanese and J. Galbraith. Scoring attitudes to abortion. The Statistician, 40:217--223, 1990.

Albanese, M. T. and M. Knott. Measurement of the attitudes to environment using latent variable models. Ciência e Cultura , 43:439--442, 1991.

Albanese, M. T. and M. Knott. TWOMISS: a computer program for fitting a one- or two- factor logit-probit latent variable model to binary data when observations may be missing. Technical report, Statistics Department, London School of Economics and Political Science, 1992.

Albanese, Maria-Teresa and Martin Knott. Measurement of the attitudes to environment using latent variable models. Ciência e Cultura, 1992.

Albanese, M. T. and M. Knott. A latent variable for attitudes to employment. Proceedings of the 10th simpósio nacional de probobilidade e estatistica. Rio de Janeiro, 1992.

Bartholomew, D. J. and M. Knott. Scale construction by maximising reliability. In K. Haagen, D. J. Bartholomew and M. Deistler, editors, Statistical modelling and latent variables. North Holland, Amsterdam, New York and Oxford, 1993.

Knott, M. and D. J. Bartholomew. Scoring binary responses for maximium reliability. Psychometrika, 58:331--338, 1993

Knott, M. and M. T. Albanese. Conditional distributions of a latent variable and scoring for binary data. Revista Brasileira de Probabilidade e Estatística, 6:171--188, 1993.

Knott, M. and M. T. Albanese. POLYMISS: a computer program for fitting a one- or two- factor logit-probit latent variable model to polytomous data when observations may be missing. Technical report, Statistics Department, London School of Economics and Political Science, England & Universidade Federal do Rio Grande do Sul, Brazil, 1993.

Albanese, M. T. and M. Knott. Bootstrapping latent variable models for binary response. The British Journal of Mathematical and Statistical Psychology, 47:235--246, 1994.

Moustaki, I. and M. Knott. Generalized latent trait models. Statistics Research Report, 36, London School of Economics and Political Science, Statistics Department, Houghton Street, London WC2A 2AE, 1997.

Knott, M. and P. Tzamourani. Fitting a latent trait model for missing observations to racial prejudice data. In J. Rost and R. Langeheine, editors, Applications of latent trait and latent class models in the social sciences. Waxmann, Münster, 1997.

Bartholomew, D. J. and M. Knott. Latent variable models and factor analysis, volume 7 of Kendall Library of Statistics, London, 1999. Arnold, London, Second Edition edition, 1999.

Moustaki, I. and M. Knott. Latent variable models for non-ignorable non-response. Methods of Psychological Research, IV(1, 2):9, 1999.
          Moustaki, I. and M.Knott. Weighting for item non-response in attitude scales using latent variable models with covariates. Statistics Research             Report, 53, London School of Economics and Political Science, Statistics Department, Houghton Street, London WC2A 2AE, 2000.
Moustaki, I. and M. Knott. Weighting for item non-response in attitude scales by using latent variable models with covariates. Journal of the Royal Statistical Society, Series A(163):445--459, 2000.

Moustaki, I. and M. Knott. Generalized latent trait models. Psychometrika , 65:391--411, 2000.

Tzamourani, P. and M. Knott. Fully semiparametric estimation of the two-parameter latent trait model for binary data and optimisation criteria for the empirical prior. 2000. SMABS 2000 Conference paper.

Moustaki, I. and M. Knott. Use of latent variable models in real applications and a discussion on the statistical and computational features of software available. 2001. EMPG 2001 Conference paper.

Tzamourani, P. and M. Knott. Fully semiparametric estimation of the two-parameter latent trait model for binary data. In G.A. Marcoulides and I. Moustaki editors, Latent Variable and Latent Structure Models.Lawrence Erlbaum Associates, Mahwah, 2002.

Moustaki. I and M. Knott. Computational Aspects of the EM and Bayesian estimation methods in latent variable models. In van der Ark, Croon, M.A. and Sijtsma, K. editors, New Developments in Categorical Data Analysisi for the Social and Behavioural Sciences.Lawrence Erlbaum Associates, London, 2005.





Research on Mass Transportation


Knott, M. and C. S. Smith. On the optimal mapping of distributions. Journal of Optimization Theory and its Applications, 43:39--49, 1984.

Smith, C. S. and M. Knott. A note on the optimal transportation of distributions. Journal of Optimization Theory and its Applications, 52:323--329, 1987.

Smith, C. S. and M. Knott. On Hoeffding-Fréchet bounds and cyclic monotone relations. Journal of Multivariate Analysis, 40:328--334, 1992.

Knott, M. and C. S. Smith. On a generalisation of cyclic monotonicity and distances among random vectors. Journal of Linear Algebra and its Applications , 199:363--371, 1994.

Knott, M. and C. S. Smith. A simplifying parametrisation of maximal cyclic monotone relations. Technical report, LSERR20 , London School of Economics and Political Science, 1995.

Knott, M. and C. S. Smith. Cycle properties of square matrices. Technical report, LSERR27 , London School of Economics and Political Science, 1996.

Smith, C. S. and M. Knott. Cycle properties of square matrices. Linear Algebra and its Applications, 258:345--350, 1997.

Smith, C. S. and M. Knott. Generalising monotonicity. In V. Benes and J. Stepán, editors, Distributions with given marginals and moment problems. Kluwer Academic Publishers, Dordrecht, 1997.
Knott, M. and C.S. Smith. Choosing Joint Distributions so that the variance of the sum is small. Journal of Multivariate Analysis, 97: 1757--1765, 2006.





Other Research

Barroso, L. P., W. O. Bussab and M. Knott. Best linear unbiased predictor in the mixed model with incomplete data. Communications in Statistics A, 27:121--129, 1998.


Knott, M. A measure of independence for a multivariate normal distribution and some connections with factor analysis. Journal of Multivariate Analysis,96:,374--383, 2005.