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Ahsanullah, M. – 1989
The record values of the Pareto distribution, labelled Pareto (II) (alpha, beta, nu), are reviewed. The best linear unbiased estimates of the parameters in terms of the record values are provided. The prediction of the sth record value based on the first m (s>m) record values are obtained. A classical Pareto distribution provides reasonably…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Income, Probability
Love, Gloria C. – 1988
The probability of experiment-wise error is explored. Overall, the experiment-wise error rate is directly related to the test-wise error rate--the alpha level set by researchers to curtail the existence of a Type I error. A Type I error occurs when a true null hypothesis is rejected in a given study or experiment. The experiment-wise error rate is…
Descriptors: Data Analysis, Error Patterns, Estimation (Mathematics), Experiments
Peer reviewed Peer reviewed
Gigerenzer, Gerd; Hoffrage, Ulrich – Psychological Review, 1995
It is shown that Bayesian algorithms are computationally simpler in frequency formats than in the probability formats used in previous research. Analysis of several thousand solutions to Bayesian problems showed that when information was presented in frequency formats, statistically naive participants derived up to 50% of inferences by Bayesian…
Descriptors: Algorithms, Bayesian Statistics, Computation, Estimation (Mathematics)
Jones, Douglas H. – 1981
A mathematical setting based on a statistical sampling probability mechanism is described. In this setting, a mathematical meaning is given for the information function; and it becomes possible to study the relative merits of various ability-estimating procedures. The maximum likelihood estimation procedure under the one-, two-, three-parameter…
Descriptors: Ability Identification, Estimation (Mathematics), Latent Trait Theory, Mathematical Models
Bangert-Drowns, Robert L. – 1984
It is easy to observe that meta-analysis is quickly establishing itself as useful tool of the social sciences. Perusal of representative journals confirms that meta-analysis has been applied in various ways to diverse literatures. It is imperative, therefore, that reviewers, publishers, consumers, and critics of these reviews be best informed…
Descriptors: Estimation (Mathematics), Literature Reviews, Meta Analysis, Probability
Peer reviewed Peer reviewed
Blackman, Nicole J-M.; Koval, John J. – Applied Psychological Measurement, 1993
Four indexes of agreement between ratings of a person that correct for chance and are interpretable as intraclass correlation coefficients for different analysis of variance models are investigated. Relationships among the estimators are established for finite samples, and the equivalence of these estimators in large samples is demonstrated. (SLD)
Descriptors: Analysis of Variance, Equations (Mathematics), Estimation (Mathematics), Interrater Reliability
Peer reviewed Peer reviewed
Nichols, James D. – Bioscience, 1992
Describes advances in capture-recapture modeling, including the biologically motivated emphasis on model-based hypothesis testing and the development of models for spatially stratified populations. Discusses the severe problems associated with count statistics reflecting unknown sampling fractions. (67 references) (KR)
Descriptors: Ecological Factors, Estimation (Mathematics), Higher Education, Mathematical Models