The author presents a formula for scoring true-false and multiple-choice questions which produces a score directly related to the number of incorrect alternatives the student is able to eliminate on each question.

Multilinear formula scoring (MFS) is reviewed, with emphasis on estimating option characteristic curves (OCSs). MFS was used to estimate OCSs for the arithmetic reasoning subtest of the Armed Services Vocational Aptitude Battery for 2,978 examinees. A second analysis obtained OCSs for simulated data. The use of MFS is discussed. (SLD)

To date a theoretical basis has not been developed for determining changes in reliability when score points from random guessing are eliminated and those from non-randon guessing are retained. This paper presents a derivation of an expression for the reliability coefficient which displays the effect of deleting score components due to random…

Six different approaches to scoring test data, including number right, correction for guessing, and answer-until-correct, were investigated using Monte Carlo techniques. Modes permitting multiple response showed higher internal consistency, but there was little difference among modes for a validity measure. (JKS)

This paper presents the development of scoring functions for use in conjunction with standard multiple-choice items. In addition to the usual indication of the correct alternative, the examinee is to indicate his personal probability of the correctness of his response. Both linear and quadratic polynomial scoring functions are examined for…

Students in an introductory college course (n=275) responded to equivalent 20-item halves of a test under number-right and formula-scoring instructions. Formula scores of those who omitted items overaged about one point lower than their comparable (formula adjusted) scores on the test half administered under number-right instructions. In contrast,…

Investigated were the effects of two levels of penalty for incorrect responses on two dependent variables (a measure of risk-taking or confidence, based on nonsense items, and the number of response-attempts to legitimate items) for three treatment groups in a 2x3, multi-response repeated measures, multivariate ANOVA (Analysis of Variance) design.…

Investigates the reliability and validity of scores yielded from a new scoring formula. (Author/DEP)

Alternate versions of Hutchinson's theory were compared, and one which implies the existence of partial knowledge was found to be better than one which implies that an appropriate measure of ability is obtained by applying the conventional correction for guessing. (Author/PN)

A potentially valuable measure of overconfidence on probabilistic multiple-choice tests was evaluated. The measure of overconfidence was based on probabilistic responses to nonsense items embedded in a vocabulary test. The test was administered under both confidence response and conventional choice response directions to 208 undergraduate…

The effects of luck and misinformation on ability of multiple-choice test scores to estimate examinee ability were investigated. Two measures of examinee ability were defined. Misinformation was shown to have little effect on ability of raw scores and a substantial effect on ability of corrected-for-guessing scores to estimate examinee ability.…

One formulation of confidence scoring requires the examinee to indicate as a number his personal probability of the correctness of each alternative in a multiple-choice test. For this formulation, a linear transformation of the logarithm of the correct response is maximized if the examinee reports accurately his personal probability. To equate…

Current Scoring practices for multiple-choice tests are rooted in early Associationist Theory and are based on a two-step procedure: (1) right answers counted as ones and wrong answers are zeros, and (2) number of right answers form a total-correct score. The author contends that if either step is invalid, the use of the general linear model (GLM)…

This paper examines confidence testing, and reasons for using confidence tests. Different scoring systems are studied in order to clarify the meaning of significance of the weights which subjects assign to confidence scored tests. (DLG)

On the basis of past research efforts to improve multiple-choice test information through differential weighting of responses to wrong answers (distractors), two statistical indices are developed. Each describes the properties of response distributions across the options of an item. Jaspen's polyserial generalization of the biserial correlation…