A dicussion is provided of some statistical measures and graphical information that, when used as feedback to the student, facilitates his ability to assess his own uncertainty. These measures and graphs, which result from the application of least squares analysis and information theory to decision-theoretic testing, provide the student with the…

The author presents three methods for dealing with the problem of the number of tosses of a fair coin needed to obtain two consecutive heads. (MN)

Previous knowledge of the difficulty index and the intercorrelations of the items will allow group results to be predicted and manipulated. A compound bionomial probability function of a testscore is established for which a computer program has been written. Three item selections and the appropriate probability distributions are given which give…

The construction cost estimate, often expressed as an absolute cost, leads to misunderstanding between client, designers, and builders. If estimates are to be used as adequate cost indicators, their probabilistic nature must be recognized and they must be expressed not as absolute numbers but in terms of a number with some indication of the…

A mathematical model for computer-aided instruction has been developed. The assumption is made that the course is divided into a hierarchy of levels of difficulty and that if a student is able to perform successfully at a given level of difficulty, he can also perform successfully at all levels of lesser difficulty. Furthermore, if a student…