Linear Models for Optimal Test Design

DOI10.1007/0-387-29054-0zbMath1084.62115OpenAlexW1501670699MaRDI QIDQ5693240

Publication date: 22 September 2005

Full work available at URL: https://doi.org/10.1007/0-387-29054-0

overconstrainting pivot-item quantitative constraints random test length reference test relative target single test Swanson-Stocking heuristics test characteristic function transshipment points unidimensional ability weighted-deviation method weighted-objective approach integer programming simulated annealing Monte Carlo method genetic algorithms linear approximation simplex algorithm cost function enumeration active constraints Kullback-Leibler information dynamic model minimax approach simultaneous optimization goodness-of-fit variance function BIB design pruning objective function optimal design feasibility response function infeasibility response-time sequential optimization two-stage item calibration tree search three-stage approach test splitting redundant constraints convex space blueprint Sympson-Hetter method Greedy heuristics linear decomposition branch-and-bound search nonlinear objectives information function local search heuristics design model test reliability logical constraints inconsistent constraints categorical constraints parallel forms predictive validity power-set classification of attributes test assembly item-response theory pretest-posttest design ability measurement ability scale absolute target adaptive test assembly aggregated bound Alpha stratification Bayesian item-selection criterion big-shadow-test binomial-error model Birnbaum approach classical test design composite ability conditional item-exposure control cutoff score different item pool edited-set equating transformation equipercentile fixed test length Gulliksen's matched random subsets method heuristic correction ineligibility constraints intentional factor item author item mapping item matching item overlap item set item swapping item writing item-criterion correlation item-difficulty item-discrimination item-exposure control item-parameter estimation Kelderman method linear on-the-fly testing Lord-Wingersky algorithm Luecht heuristics marginal item-exposure control modern test design multidimensional ability multiobjective test assembly multiple abilities multiple-shadow-test network-flow approximation nuisance ability observed-score operational item pool

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Linear inference, regression (62J99) Applications of mathematical programming (90C90) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Applications of statistics to psychology (62P15)

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