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Peer reviewedRousseau, Ronald – Journal of the American Society for Information Science, 1992
Examines the robustness property of Lotka's law for scholarly papers with more than one author. Adjusted counts for assigning credit to authors proportionally are explained, and two bibliographies are analyzed using frequency distributions that show where the robustness property breaks down. (nine references) (LRW)
Descriptors: Authors, Bibliographies, Bibliometrics, Ratios (Mathematics)
Peer reviewedBasu, Aparna – Journal of the American Society for Information Science, 1992
Reviews the literature on Bradford's law (i.e., an empirical relationship describing the distribution of scholarly articles in relevant journals). A model for the distribution of articles, based on random partitioning, is presented; and a mathematical formulation for a law of scattering is derived. The relationship of the model to Bradford's law…
Descriptors: Bibliometrics, Mathematical Formulas, Mathematical Models, Research Reports
Peer reviewedSnijders, Tom A. B. – Psychometrika, 1991
A complete enumeration method and a Monte Carlo method are presented to calculate the probability distribution of arbitrary statistics of adjacency matrices when these matrices have the uniform distribution conditional on given row and column sums, and possibly on a given set of structural zeros. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Mathematical Models, Matrices
Peer reviewedRasmussen, Jeffrey Lee; Dunlap, William P. – Educational and Psychological Measurement, 1991
Results of a Monte Carlo study with 4 populations (3,072 conditions) indicate that when distributions depart markedly from normality, nonparametric analysis and parametric analysis of transformed data show superior power to parametric analysis of raw data. Under conditions studied, parametric analysis of transformed data is more powerful than…
Descriptors: Comparative Analysis, Computer Simulation, Monte Carlo Methods, Power (Statistics)
Peer reviewedHeadrick, Todd C.; Sawilosky, Shlomo S. – Psychometrika, 1999
Proposes a procedure for generating multivariate nonnormal distributions. The procedure, an extension of the Fleishman power method (A. Fleishman, 1978), generates the average value of intercorrelations much closer to population parameters than competing procedures for skewed and heavy tailed distributions and small sample sizes. Reports Monte…
Descriptors: Correlation, Equations (Mathematics), Monte Carlo Methods, Multivariate Analysis
Peer reviewedBookstein, A. – Journal of the American Society for Information Science, 1997
Examines various kinds of uncertainty in information science. The notion of ambiguity is defined and contrasted with the more familiar notions of randomness and vagueness. Functional forms resistant to ambiguity are defined, and it is shown how to incorporate a random component, that is itself also resistant to ambiguity, into a resilient, but…
Descriptors: Ambiguity, Information Retrieval, Information Science, Information Seeking
Peer reviewedKoenig, Laura L. – Journal of Speech, Language, and Hearing Research, 2001
This study presents detailed distributional analyses of voice onset times (VOTs) from seven 5-year-old children and 14 adults. Distributional non-normality was common in both data sets with children showing greater skew. Results suggest that theories of VOT development should not be based solely on means and standard deviations but need to address…
Descriptors: Adults, Child Development, Children, Statistical Analysis
Peer reviewedLeavy, Aisling M. – School Science and Mathematics, 2004
The purpose of the study was to identify strategies used by preservice elementary teachers to index distributions of data. A secondary purpose of the study was to investigate whether representational form influenced the type of representative values constructed. Two hundred eighty-three preservice teachers were administered a selection of tasks…
Descriptors: Preservice Teachers, Mathematics Education, Statistical Data, Indexing
Mukhopadhyay, Sushanta; Mukherjee, R. N.; Chaudhuri, K. S. – International Journal of Mathematical Education in Science and Technology, 2005
An inventory replenishment policy is developed for a deteriorating item and price-dependent demand. The rate of deterioration is taken to be time-proportional and the time to deterioration is assumed to follow a two-parameter Weibull distribution. A power law form of the price dependence of demand is considered. The model is solved analytically…
Descriptors: Mathematics Education, Mathematical Models, Operations Research, Facility Inventory
Yuan, Ke-Hai; Lambert, Paul L.; Fouladi, Rachel T. – Multivariate Behavioral Research, 2004
Mardia's measure of multivariate kurtosis has been implemented in many statistical packages commonly used by social scientists. It provides important information on whether a commonly used multivariate procedure is appropriate for inference. Many statistical packages also have options for missing data. However, there is no procedure for applying…
Descriptors: Social Science Research, Research Methodology, Statistical Distributions, Statistical Analysis
von Davier, Alina A.; Kong, Nan – Journal of Educational and Behavioral Statistics, 2005
This article describes a new, unified framework for linear equating in a non-equivalent groups anchor test (NEAT) design. The authors focus on three methods for linear equating in the NEAT design--Tucker, Levine observed-score, and chain--and develop a common parameterization that shows that each particular equating method is a special case of the…
Descriptors: Equations (Mathematics), Sample Size, Statistical Distributions, Error of Measurement
Brown, Gordon D. A.; McCormack, Teresa; Smith, Mark; Stewart, Neil – Journal of Experimental Psychology: Human Perception and Performance, 2005
Two experiments examined identification and bisection of tones varying in temporal duration (Experiment 1) or frequency (Experiment 2). Absolute identification of both durations and frequencies was influenced by prior stimuli and by stimulus distribution. Stimulus distribution influenced bisection for both stimulus types consistently, with more…
Descriptors: Stimuli, Statistical Distributions, Mathematical Models, Novelty (Stimulus Dimension)
Andrzejewski, Matthew E.; Cardinal, Claudia D.; Field, Douglas P.; Flannery, Barbara A.; Johnson, Michael; Bailey, Kathleen; Hineline, Philip N. – Journal of the Experimental Analysis of Behavior, 2005
Pigeons' choosing between fixed-interval and random-interval schedules of reinforcement was investigated in three experiments using a discrete-trial procedure. In all three experiments, the random-interval schedule was generated by sampling a probability distribution at an interval (and in multiples of the interval) equal to that of the…
Descriptors: Probability, Reinforcement, Intervals, Statistical Distributions
Rodriguez-Lopez, Margarita; Carrasquillo, Arnaldo, Jr. – Journal of Chemical Education, 2006
This article describes the central limit theorem (CLT) and its relation to analytical chemistry. The pedagogic rational, which argues for teaching the CLT in the analytical chemistry classroom, is discussed. Some analytical chemistry concepts that could be improved through an understanding of the CLT are also described. (Contains 2 figures.)
Descriptors: Chemistry, Misconceptions, Statistical Distributions, Science Instruction
Rich, Valerie J.; Kedrowski, Jonathan J.; Richter, Scott – Athletic Training Education Journal, 2008
Context: Educational reform has recently become common thread in athletic training education. The National Athletic Trainers' Association (NATA) Education Task force suggests that Athletic Training Education Programs (ATEPs) align within colleges of health-related professions and offer academic majors. Objective: To provide a current profile of…
Descriptors: College Athletics, Institutional Characteristics, Profiles, Physical Education

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