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Elbers, Benjamin – Sociological Methods & Research, 2023
An important topic in the study of segregation are comparisons across space and time. This article extends current approaches in segregation measurement by presenting a five-term decomposition procedure that can be used to understand more clearly why segregation has changed or differs between two comparison points. Two of the five terms account…
Descriptors: Social Science Research, School Segregation, Equal Opportunities (Jobs), Residential Patterns
Benjamin Lu; Eli Ben-Michael; Avi Feller; Luke Miratrix – Journal of Educational and Behavioral Statistics, 2023
In multisite trials, learning about treatment effect variation across sites is critical for understanding where and for whom a program works. Unadjusted comparisons, however, capture "compositional" differences in the distributions of unit-level features as well as "contextual" differences in site-level features, including…
Descriptors: Statistical Analysis, Statistical Distributions, Program Implementation, Comparative Analysis
Benjamin Lu; Eli Ben-Michael; Avi Feller; Luke Miratrix – Grantee Submission, 2022
In multisite trials, learning about treatment effect variation across sites is critical for understanding where and for whom a program works. Unadjusted comparisons, however, capture "compositional" differences in the distributions of unit-level features as well as "contextual" differences in site-level features, including…
Descriptors: Statistical Analysis, Statistical Distributions, Program Implementation, Comparative Analysis
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Lipovetsky, Stan – International Journal of Mathematical Education in Science and Technology, 2008
Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various empirical studies show another pattern of these frequencies distribution, which is log[subscript 10](1 + 1/r). The article considers this law and other…
Descriptors: Decision Making, Statistical Distributions, Mathematical Formulas, Matrices
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Howard, Paul G.; Vitter, Jeffrey Scott – Information Processing and Management, 1992
Identifies four components of a good predictive lossless image compression method: (1) pixel sequence, (2) image modeling and prediction, (3) error modeling, and (4) error coding. Highlights include Laplace distribution and a comparison of the multilevel progressive method for image coding with the prediction by partial precision matching method.…
Descriptors: Coding, Comparative Analysis, Information Processing, Mathematical Formulas
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Egghe, Leo – Journal of the American Society for Information Science and Technology, 2003
Explains Type/Token-Taken informetrics as a new part of informetrics that studies the use of items rather than the items themselves. Highlights include the frequency distribution of Type/Token-Taken informetrics; the Lotka frequency law; linguistics; a comparison of Type/Token with Type/Token-Taken informetrics; and proofs of theorems. (Author/LRW)
Descriptors: Comparative Analysis, Information Science, Linguistics, Mathematical Formulas
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Yoshikane, Fuyuki; Kageura, Kyo; Tsuji, Keita – Journal of the American Society for Information Science and Technology, 2003
Proposes a method for the comparative analysis of concentration in author productivity distributions; selects suitable measures, Gini's index and number of authors, for two viewpoints regarding productivity; discusses statistical peculiarities of author productivity data; and explains developmental profiles which take into account sample size…
Descriptors: Authors, Comparative Analysis, Mathematical Formulas, Measurement Techniques
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Egghe, Leo; Rousseau, Ronald – Journal of the American Society for Information Science, 1995
Reformulates the success-breeds-success (SBS) principle in informetrics in order to generate a general theory of source-item relationships. Topics include a time-dependent probability, a new model for the expected probability that is compared with the SBS principle with exact combinatorial calculations, classical frequency distributions, and…
Descriptors: Bibliometrics, Comparative Analysis, Information Science, Mathematical Formulas
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Rousseau, 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
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Olejnik, 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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Brookes, B. C. – Journal of Documentation, 1981
Argues that the application of Bradford's original formulation to Leimkuhler's choice of bibliographic citations more closely fits the statistical data than does his own. Operational research techniques are assailed as inadequate and wasteful to the needs and purposes of the social sciences. Six references are provided. (RAA)
Descriptors: Bibliographies, Citations (References), Comparative Analysis, Mathematical Formulas