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van der Linden, Wim J. – Applied Psychological Measurement, 2011
It is shown how the time limit on a test can be set to control the probability of a test taker running out of time before completing it. The probability is derived from the item parameters in the lognormal model for response times. Examples of curves representing the probability of running out of time on a test with given parameters as a function…
Descriptors: Testing, Timed Tests, Models, Probability
Lord, Frederic M. – 1972
A method for estimating power scores is described. By way of illustration, it is applied to 21 students who were improperly timed on a standard test. Some empirical results are given in support of the estimation procedure. (Author)
Descriptors: Bulletins, Mathematical Models, Probability, Research
Lazarte, Alejandro A. – 1999
Two experiments reproduced in a simulated computerized test-taking situation the effect of two of the main determinants in answering an item in a test: the difficulty of the item and the time available to answer it. A model is proposed for the time to respond or abandon an item and for the probability of abandoning it or answering it correctly. In…
Descriptors: Computer Assisted Testing, Difficulty Level, Higher Education, Probability
Moore, William E. – 1970
The previous theoretical development of the Poisson process as a strong model for the true-score theory of mental tests is discussed, and additional theoretical properties of the model from the standpoint of individual examinees are developed. The paper introduces the Erlang process as a family of test theory models and shows in the context of…
Descriptors: Arithmetic, Goodness of Fit, Grade 10, Mathematical Models