×

A nonrandomized minimax solution for passing scores in the binomial error model. (English) Zbl 0456.62081


MSC:

62P15 Applications of statistics to psychology
62C20 Minimax procedures in statistical decision theory
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62Q05 Statistical tables
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ferguson, T. S.Mathematical statistics: A decision-theoretic approach. New York: Academic Press, 1967. · Zbl 0153.47602
[2] Fhanér, S. Item sampling and decision-making in achievement testing.British Journal of Mathematical and Statistical Psychology, 1974,27, 172–175. · Zbl 0285.62009
[3] Hambleton, R. K. & Novick, M. R. Toward an integration of theory and method for criterion-referenced tests.Journal of Educational Measurement, 1973,10, 159–170.
[4] Hambleton, R. K., Swaminathan, H., Algina, J. & Coulson, D. B. Criterion-referenced testing and measurement: A review of technical issues and developments.Review of Educational Research, 1978,48, 1–47.
[5] Huynh, H. Statistical consideration of mastery scores.Psychometrika, 1976,41, 65–78. · Zbl 0325.92018
[6] Huynh, H. Two simple classes of mastery scores based on the beta-binomial model.Psychometrika, 1977,42, 601–608.
[7] Huynh, H. & Perney, J. Determination of mastery scores when instructional units are linearly related.Educational and Psychological Measurement, 1979,39, 317–323.
[8] IBM Application Program, System/360.Scientific Subroutine Package (360-CM-03X) Version III, programmer’s manual. White Plains, New York: IBM Corporation Technical Publications Department, 1971.
[9] IMSL Library 1. Houston: International Mathematical and Statistical Libraries, 1977.
[10] van der Linden, W. J. & Mellenberg, G. J. Optimal cutting scores using a linear loss function.Applied Psychological Measurement, 1977,1, 593–599.
[11] Lindley, D. V. & Smith, A. F. M. Bayesian estimates for the linear model.Journal of the Royal Statistical Society (Series B), 1972,34, 1–14. · Zbl 0246.62050
[12] Lord, F. M. & Novick, M. R.Statistical theories of mental test scores. Reading, Mass.: Addison-Wesley Publishing Co., 1968. · Zbl 0186.53701
[13] Meskauskas, J. A. Evaluation models for criterion-referenced testing: Views regarding mastery and standard-setting.Review of Educational Research, 1976,46, 133–158.
[14] Novick, M. R., Isaacs, G. L. & DeKeyrel, D. F.Computer-assisted data analysis 1977, Manual for the Computer-Assisted Data Analysis (CADA) Monitor. Iowa City: Iowa Testing Program, 1977.
[15] Novick, M. R. & Jackson, P. H.Statistical methods for educational and psychological research. New York: McGraw-Hill, 1974.
[16] Novick, M. R. & Lewis, C. Prescribing test length for criterion-referenced measurement. In C. W. Harris, M. C. Alkin & W. J. Popham (Eds.),Problems in criterion-referenced measurement. Los Angeles: Center for the Study of Evaluation, University of California, 1974.
[17] Novick, M. R., Lewis, C. & Jackson, P. H. The estimation of proportions inm groups.Psychometrika, 1973,38, 19–45. · Zbl 0249.62096
[18] Pearson, K.Tables of the incomplete beta function. Cambridge: University Press, 1934. · Zbl 0008.30403
[19] Swaminathan, H., Hambleton, R. K. & Algina, J. A Bayesian decision-theoretic procedure for use with criterion-referenced tests.Journal of Educational Measurement, 1975,12, 87–98.
[20] Wilcox, R. A note on the length and passing score of a mastery test.Journal of Educational Statistics, 1976,1, 359–364.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.