A strong true-score theory, with applications

Appell, P. and Kampé de Fériet, J. Fonctions hypergeometriques et hyperspheriques. Polynomes d' Hermite. Gauthier-Villars, 1926. Buckingham, R. A.Numerical methods. London: Pitman, 1957. Bückner, H. F. Numerical methods for integral equations. In J. Todd (Ed.),A survey of numerical analysis. New York: McGraw-Hill, 1962. Cochran, W. G. Some methods for strengthening the common x2 tests.Biometrics, 1954,10, 417–451. Eisenberg, H. B., Geoghagen, R. R. M., and Walsh, J. E. A general probability model for binomial events with application to surgical mortality.Biometrics, 1963,19, 152–157. Elderton, Sir W. P.Frequency curves and correlation. (3rd ed.). Cambridge, England: Cambridge Univ. Press, 1938. Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G.Higher transcendental functions. Vol. 1. New York: McGraw-Hill, 1953. Fox, L. and Goodwin, E. T. The numerical solution of non-singular linear equations.Phil. Trans. roy. Soc. London (Series A), 1952–53,245, 501–535. Gulliksen, H. O.Theory of mental tests. New York: Wiley, 1950. Hirschman, I. I. and Widder, D. V.The convolution transform. Princeton: Princeton Univ. Press, 1955. Jeffries, J. and Orrall, F. The numerical solution of Fredholm integral equations of the first kind. (Unclassified report reproduced by the Armed Services Technical Information Agency.) Arlington, Va.: Arlington Hall Station. November 1960. AD 250–862. Kantorovich, L. W. and Krylov, V. I.Approximate methods of higher analysis. New York: Interscience, 1958. Keats, J. A. and Lord, F. M. A theoretical distribution for mental test scores.Psychometrika, 1962,27, 59–72. Kendall, M. G. and Stuart, A.The advanced theory of statistics. New York: Hafner, 1958. Kunz, K. S.Numerical analysis. New York: McGraw-Hill, 1957. Lord, F. M. A theory of test scores.Psychometric Monogr., No. 7. Richmond, Va.: William Byrd Press, 1952. Lord, F. M. An approach to mental test theory.Psychometrika, 1959,24, 283–302. Lord, F. M. Use of true-score theory to predict moments of univariate and bivariate observed-score distributions.Psychometrika, 1960,25, 325–342. Lord, F. M. Estimating true measurements from fallible measurements (Binomial Case)—expansion in a series of beta distributions. Res. Bull. 62-23. Princeton, N. J.: Educ. Test. Serv., 1962. Lord, F. M. True-score theory—The four parameter beta model with binomial errors. Res. Bull. 64-6. Princeton, N. J.: Educ. Test. Serv., 1964. Medgyessy, P.Decomposition of superpositions of distribution functions. Budapest: Publishing House of the Hungarian Academy of Sciences, 1961. Phillips, D. L. A technique for the numerical solution of certain integral equations of the first kind.J. Ass. comput. Machinery, 1962,9, 84–97. Pollard, H. Distribution functions containing a Gaussian factor.Proc. Amer. math. Soc., 1953,4, 578–582. Rasch, G.Probabilistic models for some intelligence and attainment tests. Copenhagen, Denmark: Nielsen and Lydiche (M. Simmelkiaer), 1960. Teicher, H. On the mixture of distributions.Ann. math. Statist., 1960,31, 55–73. Tricomi, F. G.Integral equations. New York: Interscience, 1957. Trumpler, R. J. and Weaver, H. F.Statistical astronomy. Berkeley: Univ. California Press, 1953. Tucker, L. R. A note on the estimation of test reliability by the Kuder-Richardson formula (20).Psychometrika, 1949,14, 117–120. Twomey, S. On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature.J. Ass. comput. Machinery, 1963,10, 97–101. Walsh, J. E. Corrections to two papers concerned with binomial events.Sankhyā, Ser. A., 1963,25, 427. Walther, A. and Dejon, B. General report on the numerical treatment of integral and integro-differential equations. InSymposium on the Numerical Treatment of Ordinary Differential Equations, Integral and Integro-Differential Equations—Proceedings of the Rowe Symposium (20–24 September 1960). Basel/Stuttgart: Birkhauser Verlag, 1960. Pp. 645–671. Young, A. Approximate product-integration.Proc. roy. Soc., A, 1954,224, 552–561. Young, A. The application of product-integration to the numerical solution of integral equations.Proc. roy. Soc., A, 1954,224, 561–573.