This article considers how a handicapping system should be devised for squash. It looks at the American scoring system, and whether it is possible to have a fair system of handicapping. We consider "fair" from a perspective of expected number of rallies won and probability of winning.

Optimal assessment tools should measure in a limited time the knowledge of students in a correct and unbiased way. A method for automating the scoring is multiple choice scoring. This article compares scoring methods from a probabilistic point of view by modelling the probability to pass: the number right scoring, the initial correction (IC) and…

To rule out the need for a two-parameter item response theory (IRT) model during item analysis by Rasch models, it is important to check the Rasch model's assumption that all items have the same item discrimination. Biserial and polyserial correlation coefficients measuring the association between items and restscores are often used in an informal…

Multiple-choice tests such as the Vocabulary Levels Test (VLT) are often viewed as a preferable estimator of vocabulary knowledge when compared to yes/no checklists, because self-reporting tests introduce the possibility of students overreporting or underreporting scores. However, multiple-choice tests have their own unique disadvantages. It has…

Though the Paired-Item-Score (Eakin and Long) (EJ 174 780) method of scoring true-false tests has certain advantages over the traditional scoring methods (percentage right and right minus wrong), these advantages are attained at the cost of a larger risk of misranking the examinees. (Author/BW)

The distribution theory underlying corrections for guessing is analyzed, and the probability distributions of the random variables are derived. The correction in grade, based on random guessing of unknown answers, is compared with corrections based on educated guessing. (Author/MH)

Procedures for computing content validity and consistency reliability coefficients and determining the statistical significance of these coefficients are described. Procedures employing the multinomial probability distribution for small samples and normal curve probability estimates for large samples, can be used where judgments are made on…

Comparing variability of test scores across alternate forms, test conditions, or subpopulations is a fundamental problem in psychometrics. A confidence interval for a ratio of standard deviations is proposed that performs as well as the classic method with normal distributions and performs dramatically better with nonnormal distributions. A simple…