A specified minimum performance level can be translated into a minimum passing score for the written test by measuring the performance of students whose written test scores are near the desired cutoff score. Stochastic approximation methods accomplish this purpose. The up-and-down method and the Robbins-Monro process are compared. (Author/RL)

Leo Nedelsky developed a method for determining absolute grading standards for multiple choice tests. His method required a group of judges to examine each test question and eliminate those responses which the lowest D- student should be able to reject as incorrect. The correct answer probabilities remaining were used in computing an expected test…

The standard error of measurement (SEM) is a measure of the inconsistency in the scores of a particular group of test-takers. It is largest for test-takers with scores ranging in the 50 percent correct bracket; with nearly perfect scores, it is smaller. On tests used to make pass/fail decisions, the test-takers' scores tend to cluster in the range…

This paper deals with test fairness regarding a test consisting of two parts: (1) a "common" section, taken by all students; and (2) a "variable" section, in which some students may answer a different set of questions from other students. For example, a test taken by several thousand students each year contains a common multiple-choice portion and…