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Stanley, T. D.; Doucouliagos, Hristos – Research Synthesis Methods, 2023
Partial correlation coefficients are often used as effect sizes in the meta-analysis and systematic review of multiple regression analysis research results. There are two well-known formulas for the variance and thereby for the standard error (SE) of partial correlation coefficients (PCC). One is considered the "correct" variance in the…
Descriptors: Correlation, Statistical Bias, Error Patterns, Error Correction
Peer reviewedRousseau, Ronald; Rousseau, Sandra – Canadian Journal of Information and Library Science, 1993
Reviews informetric, or bibliometric, distributions, including Lotka's, rank frequency distributions, Zipf functions, Mandelbrot functions, Leimkuhler functions, and Bradford's formulations. An example of the use of these techniques to analyze song texts of Thomas Dolby is given, and results are reported that show a fit with a Leimkuhler function.…
Descriptors: Bibliometrics, Mathematical Formulas, Songs, Statistical Distributions
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 reviewedStewart, John A. – Information Processing and Management, 1994
Illustrates that the Poisson-lognormal model provides good fits to a diverse set of distributions commonly studied in bibliometrics and scientometrics. Topics discussed include applications to the empirical data sets related to the laws of Lotka, Bradford, and Zipf; causal processes that could generate lognormal distributions; and implications for…
Descriptors: Bibliometrics, Mathematical Formulas, Models, Research Needs
Peer reviewedRousseau, Ronald – Information Processing and Management, 1994
Discussion of informetric distributions shows that generalized Leimkuhler functions give proper fits to a large variety of Bradford curves, including those exhibiting a Groos droop or a rising tail. The Kolmogorov-Smirnov test is used to test goodness of fit, and least-square fits are compared with Egghe's method. (Contains 53 references.) (LRW)
Descriptors: Bibliometrics, Comparative Analysis, Goodness of Fit, Least Squares Statistics
PDF pending restorationOlejnik, Stephen F.; Algina, James – 1984
Five distribution-free alternatives to parametric analysis of covariance (ANCOVA) are presented and demonstrated using a specific data example. The procedures considered are those suggested by Quade (1967); Puri and Sen (1969); McSweeney and Porter (1971); Burnett and Barr (1978); and Shirley (1981). The results of simulation studies investigating…
Descriptors: Analysis of Covariance, Comparative Analysis, Hypothesis Testing, Mathematical Formulas

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