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Nicholls, Paul Travis – Information Processing and Management, 1988
Presents Price's law, which states that half of the literature on a subject will be contributed by the square root of total number of authors publishing in that area, and assesses it against empirical evidence and simulated productivity distributions. The discussion covers this law's relation to Lotka's law and its empirical validity. (Author/CLB)
Descriptors: Bibliometrics, Hypothesis Testing, Mathematical Models, Proof (Mathematics)

Jakobsson, Matti – Journal of the American Society for Information Science, 1988
Presents a model and experimental results of a new one-phase technique for compression text files that is a modification of the Ziv and Lempel compression scheme. The description includes the use of a subword dictionary that is periodically reorganized based on information theory and structural linguistics principles. (29 references) (Author/CLB)
Descriptors: Algorithms, Computer Storage Devices, Dictionaries, Information Theory

Blair, R. Clifford; Higgins, James J. – Journal of Educational Statistics, 1985
This study was concerned with the effects of reliability of observations, sample size, magnitudes of treatment effects, and the shape of the sampled population on the relative power of the paired samples rank transform statistic and Wilcoxon's signed ranks statistic. (Author/LMO)
Descriptors: Effect Size, Hypothesis Testing, Power (Statistics), Reliability

Bloxom, Bruce – Psychometrika, 1985
The use of semiparametric models may require incorporating additional functions which do not vary across distributions and may require expressing the models in terms of the joint distribution of response class and response time. (Author/LMO)
Descriptors: Mathematical Models, Psychometrics, Reaction Time, Regression (Statistics)

Budd, John – Library and Information Science Research, 1986
Analysis of works in American literature from the Modern Language Association International Bibliography (1981) in regard to form, class of materials, language, subject, and age found more references to books than journal articles, and age dispersion was broad. Comparisons are made to other similar studies in sciences and humanities. (Author/EM)
Descriptors: Books, Citations (References), Sampling, Scholarly Journals

Aiken, Lewis R.; Aiken, Timothy A. – Educational and Psychological Measurement, 1986
Three exact probability tests, counterparts of t tests for single sample, independent samples, and dependent samples, are described for data obtained from ratings on "m" scales by a single rater or on a single scale by "n" raters. (LMO)
Descriptors: Nonparametric Statistics, Probability, Rating Scales, Statistical Distributions

Grieve, A. P. – Psychometrika, 1984
The locally best invariant test statistic for testing sphericity of normal distributions is shown to be a simple function of the Box/Geisser - Greenhouse degrees of freedom correction factor in a repeated measures design. Tables of the critical values of the Box/Geiser - Greenhouse correction factor are given. (Author/BW)
Descriptors: Goodness of Fit, Hypothesis Testing, Research Design, Research Methodology

Evans, I. Gwyn – Mathematics in School, 1986
Provides an algorithm for determining the median and quartiles of discrete data sets. Describes the graphical equivalent of the numerical method. (JM)
Descriptors: Algorithms, College Mathematics, Graphs, Mathematics Education

Fowler, Robert L. – Educational and Psychological Measurement, 1984
This study compared two approximations for normalizing noncentral F distributions: one based on the square root of the chi-square distribution (SRA), the other derived from a cube root of the chi-square distribution (CRA). The CRA was superior, and generally provided an excellent approximation for noncentral F. (Author/BW)
Descriptors: Estimation (Mathematics), Hypothesis Testing, Mathematical Formulas, Probability

Anderson, Harry E., Jr.; And Others – Journal of Experimental Education, 1984
A sampling subspace in hypothesis testing where Type II error is made for completely illogical reasons from the standpoint of probability is described. The case of unequal probabilities of populations or conditions is also considered. (Author/BS)
Descriptors: Hypothesis Testing, Maximum Likelihood Statistics, Probability, Sampling

Rodgers, B. – British Journal of Educational Psychology, 1983
Asserts that the inference that a "hump" in the statistical distribution of reading achievement data represents retardation is unwarranted. Contends that the use of any particular cutoff point to identify severe underachievement in reading is arbitrary, and thus that the issue of reading retardation prevalence is inseparable from its definition.…
Descriptors: Elementary Education, Reading Achievement, Reading Difficulties, Research Problems
Chang, Shun-Wen; Twu, Bor-Yaun – 2001
To satisfy the security requirements of computerized adaptive tests (CATs), efforts have been made to control the exposure rates of optimal items directly by incorporating statistical methods into the item selection procedure. Since differences are likely to occur between the exposure control parameter derivation stage and the operational CAT…
Descriptors: Adaptive Testing, Computer Assisted Testing, Selection, Simulation
Hwang, Dae-Yeop – 2002
This study compared classical test theory (CTT) and item response theory (IRT). The behavior of the item and person statistics derived from these two measurement frameworks was examined analytically and empirically using a data set obtained from BILOG (R. Mislay and D. Block, 1997). The example was a 15-item test with a sample size of 600…
Descriptors: Comparative Analysis, Measurement Techniques, Scores, Statistical Distributions
Ware, William B.; Althouse, Linda Akel – 1999
This study was designed to derive the distribution of a test statistic based on normal probability plots. The first purpose was to provide an empirical derivation of the critical values for the Line Test (LT) with an extensive computer simulation. The goal was to develop a test that is sensitive to a wide range of alternative distributions,…
Descriptors: Computation, Computer Simulation, Monte Carlo Methods, Probability
Kennedy, Charlotte A. – 2002
The use of and emphasis on statistical significance testing has pervaded educational and behavioral research for many decades in spite of criticism by prominent researchers in this field. Much of the controversy is caused by lack of understanding or misinterpretations. This paper reviews criticisms of statistical significance testing and discusses…
Descriptors: Educational Research, Hypothesis Testing, Research Methodology, Sampling