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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
Reardon, Sean F.; Shear, Benjamin R.; Castellano, Katherine E.; Ho, Andrew D. – Journal of Educational and Behavioral Statistics, 2017
Test score distributions of schools or demographic groups are often summarized by frequencies of students scoring in a small number of ordered proficiency categories. We show that heteroskedastic ordered probit (HETOP) models can be used to estimate means and standard deviations of multiple groups' test score distributions from such data. Because…
Descriptors: Scores, Statistical Analysis, Models, Computation
Jance, Marsha; Thomopoulos, Nick – American Journal of Business Education, 2009
The extreme interval values and statistics (expected value, median, mode, standard deviation, and coefficient of variation) for the smallest (min) and largest (max) values of exponentially distributed variables with parameter ? = 1 are examined for different observation (sample) sizes. An extreme interval value g[subscript a] is defined as a…
Descriptors: Intervals, Statistics, Predictor Variables, Sample Size
Rosenthal, James A. – Springer, 2011
Written by a social worker for social work students, this is a nuts and bolts guide to statistics that presents complex calculations and concepts in clear, easy-to-understand language. It includes numerous examples, data sets, and issues that students will encounter in social work practice. The first section introduces basic concepts and terms to…
Descriptors: Statistics, Data Interpretation, Social Work, Social Science Research

Stavig, Gordon R. – Perceptual and Motor Skills, 1982
The normalized mean is developed and discussed as a descriptive measure of central location. The advantages of the normalized mean over the arithmetic mean, median, and trimmed mean are discussed. (Author)
Descriptors: Mathematical Formulas, Research Problems, Scores, Statistical Analysis

Nguyen, Van Thanh-Van; In-na, Nophadol – Environmental Monitoring and Assessment, 1992
Proposes a plotting position formula for the Pearson type III distribution in the analysis of historical flood information. Presents results of a numerical example using actual flood data to confirm the appropriateness of the plotting formula. (24 references) (MDH)
Descriptors: Environmental Education, Graphs, History, Mathematical Formulas

Tang, S. M.; MacNeill, I. B. – Environmental Monitoring and Assessment, 1992
The problem of monitoring trends for changes at unknown times is considered. Statistics that permit one to focus high power on a segment of the monitored period are studied. Numerical procedures are developed to compute the null distribution of these statistics. (Author)
Descriptors: Air Pollution, Environmental Education, Mathematical Formulas, Measurement Techniques

Chen, Ye-Sho; And Others – Information Processing and Management, 1994
Investigates the relationships between the parameters of the Simon-Yule model and the shapes of three bibliometric distributions: Lotka's Law of Scientific Productivity; Bradford's Law of Bibliometric Scattering; and Zipf's Law of Word Frequency. The results indicate that the probability of a new entry determines the characteristics of all three…
Descriptors: Bibliometrics, Information Science, Information Utilization, Mathematical Formulas

Garrison, Dean H. – College and University, 1981
A statistical model is presented for processing quantitative admission data that weights equally two or more quantitative elements to ensure that the N most consistently high scorers qualify for the N available positions. The quantitative elements considered are overall grade point average (GPA), GPA in selected courses, and standardized test…
Descriptors: Admission Criteria, College Admission, Competitive Selection, Decision Making