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Autenrieth, Maximilian; Levine, Richard A.; Fan, Juanjuan; Guarcello, Maureen A. – Journal of Educational Data Mining, 2021
Propensity score methods account for selection bias in observational studies. However, the consistency of the propensity score estimators strongly depends on a correct specification of the propensity score model. Logistic regression and, with increasing popularity, machine learning tools are used to estimate propensity scores. We introduce a…
Descriptors: Probability, Artificial Intelligence, Educational Research, Statistical Bias
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Bai, Haiyan – Journal of Experimental Education, 2013
Propensity score estimation plays a fundamental role in propensity score matching for reducing group selection bias in observational data. To increase the accuracy of propensity score estimation, the author developed a bootstrap propensity score. The commonly used propensity score matching methods: nearest neighbor matching, caliper matching, and…
Descriptors: Statistical Inference, Sampling, Probability, Computation
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Jance, Marsha L.; Thomopoulos, Nick T. – American Journal of Business Education, 2011
The paper shows how to find the min and max extreme interval values for the exponential and triangular distributions from the min and max uniform extreme interval values. Tables are provided to show the min and max extreme interval values for the uniform, exponential, and triangular distributions for different probabilities and observation sizes.
Descriptors: Intervals, Probability, Observation, Statistical Distributions
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Rose, Amanda J.; Schwartz-Mette, Rebecca A.; Glick, Gary C.; Smith, Rhiannon L.; Luebbe, Aaron M. – Developmental Psychology, 2014
Co-rumination is a dyadic process between relationship partners that refers to excessively discussing problems, rehashing problems, speculating about problems, mutual encouragement of problem talk, and dwelling on negative affect. Although studies have addressed youths' "tendency" to co-ruminate, little is known about the nature of…
Descriptors: Peer Relationship, Adolescents, Friendship, Discussion
Warnapala, Yajni; Silva, Karishma – Journal of Case Studies in Education, 2011
In the year 2001, the University Grants Commission of Sri Lanka successfully appealed to change the method of determining the cut-off scores for university admissions from raw scores to standardized z-scores. This standardization allegedly eliminated the discrepancy caused due to the assumption of equal difficulty levels across all subjects. This…
Descriptors: College Admission, Cutting Scores, Foreign Countries, Raw Scores
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Ching, Wai-Ki; Ng, Michael K. – International Journal of Mathematical Education in Science and Technology, 2004
Hidden Markov models (HMMs) are widely used in bioinformatics, speech recognition and many other areas. This note presents HMMs via the framework of classical Markov chain models. A simple example is given to illustrate the model. An estimation method for the transition probabilities of the hidden states is also discussed.
Descriptors: Markov Processes, Probability, Mathematical Models, Computation
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Farnsworth, David L. – Teaching Statistics: An International Journal for Teachers, 2004
This article describes the most compact 100c% interval for a probability density for 0
Descriptors: Probability, Computation, Mathematical Concepts, Statistics
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Burrell, Quentin; Rousseau, Ronald – Journal of the American Society for Information Science, 1995
Discussion of authorship distributions focuses on the results of a numerical study for fractional authorship attribution. Highlights include coauthors; multinomial coefficients; Lotka functions; probability distributions of articles per author; and probability distributions of authors per article. (LRW)
Descriptors: Bibliometrics, Mathematical Formulas, Probability, Scholarly Journals
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Wu, Dane W. Wu; Bangerter, Laura M. – International Journal of Mathematical Education in Science and Technology, 2004
Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the urns? The Total Probability Formula (TPF) is the common tool to solve such a problem. However, when the number of urns is more than two and the number…
Descriptors: Probability, Biology, Mathematical Formulas, Computation
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Markel, William D. – School Science and Mathematics, 1985
The concept of statistical significance is explained, with specific numerical illustrations. (MNS)
Descriptors: Educational Research, Mathematical Concepts, Probability, Research Methodology
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Terrell, Colin D. – Educational and Psychological Measurement, 1982
Tables are presented giving the critical values of the biserial and the point biserial correlation coefficients (when the null hypothesis assumes a value of zero for the coefficient) at the 0.05 and the 0.01 levels of significance. (Author)
Descriptors: Correlation, Mathematical Formulas, Probability, Research Tools
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Ramasinghe, W. – International Journal of Mathematical Education in Science and Technology, 2005
It is very well known that the Cauchy-Schwarz inequality is an important property shared by all inner product spaces and the inner product induces a norm on the space. A proof of the Cauchy-Schwarz inequality for real inner product spaces exists, which does not employ the homogeneous property of the inner product. However, it is shown that a real…
Descriptors: Trigonometry, Mathematical Concepts, Equations (Mathematics), Probability
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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
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Newell, G. J.; MacFarlane, J. D. – Australian Mathematics Teacher, 1984
Presents an application of the binomial distribution in which the distribution is used to detect differences between the sensory properties of food products. Included is a BASIC computer program listing used to generate triangle and duo-trio test results. (JN)
Descriptors: College Mathematics, Computer Software, Food, Higher Education
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Aiken, Lewis R. – Educational and Psychological Measurement, 1985
Three numerical coefficients for analyzing the validity and reliability of ratings are described. Each coefficient is computed as the ratio of an obtained to a maximum sum of differences in ratings. The coefficients are also applicable to the item analysis, agreement analysis, and cluster or factor analysis of rating-scale data. (Author/BW)
Descriptors: Computer Software, Data Analysis, Factor Analysis, Item Analysis
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