The Construction of Customized Two-Stage Tests.

In this paper mixed integer linear programming models for customizing two-stage tests are given. Model constraints are imposed with respect to test composition, administration time, inter-item dependencies, and other practical considerations. It is not difficult to modify the models to make them useful in constructing multistage tests.

[1]  T. Theunissen.  Some Applications of Optimization Algorithms in Test Design and Adaptive Testing , 1986 .

[2]  F. Lord.  Applications of Item Response Theory To Practical Testing Problems , 1980 .

[3]  W. F. Langerak,et al.  Psychometrics for educational debates , 1980 .

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

[5]  Patrick Rivett,et al.  Principles of Operations Research , 1972 .

[6]  J. Mize.  Optimization Techniques With Fortran , 1973 .

[7]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[8]  Linus E Schrage.  User's manual for LINDO , 1981 .

[9]  A. Land,et al.  An Automatic Method for Solving Discrete Programming Problems , 1960, 50 Years of Integer Programming.

[10]  Jos J. Adema.  A Note on Solving Large-Scale Zero-One Programming Problems. Research Report 88-4. , 1988 .

[11]  Ronald K. Hambleton,et al.  Applications of Item Response Theory , 1983 .

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

[13]  Howard Wainer,et al.  Item Clusters and Computerized Adaptive Testing: A Case for Testlets , 1987 .

[14]  Susan Powell,et al.  Fortran codes for mathematical programming: linear, quadratic and discrete , 1973 .

[15]  T. Theunissen.  Binary programming and test design , 1985 .

[16]  Robert E. Machol,et al.  Principles of Operations Research—12. Finale , 1975 .

[17]  Frederic M. Lord,et al.  A Theoretical Study of Two-Stage Testing. , 1971 .

[18]  W. D. Linden,et al.  A maximin model for IRT-based test design with practical constraints , 1989 .

[19]  Isaac I. Bejar,et al.  10 – Speculations on the Future of Test Design , 1985 .

[20]  S. Embretson.  Test design : developments in psychology and psychometrics , 1985 .