The author considers a latent trait model for the response time on a (set of) pure speed test(s), the multiplicative gamma model (MGM), which is based on the assumption that the test response times are approximately gamma distributed, with known index parameters and scale parameters depending on subject ability and test difficulty parameters. Like…

A number of methods are available in the literature to measure confidence intervals. Here, confidence intervals for estimating the population mean of a skewed distribution are considered. This note proposes two alternative confidence intervals, namely, Median t and Mad t, which are simple adjustments to the Student's t confidence interval. In…

A method called the Remainder Method is proposed for the calculation of sample quantiles of a given order, for example, quartiles, hexatiles, octatiles, deciles and percentiles assuming that all the observations are distinct. Proof is given for a special case of deciles. The criterion "equisegmentation" is proposed, namely that the number of…

In this study, the authors assess several strategies created on the basis of the Mantel-Haenszel (MH) procedure for conducting differential item functioning (DIF) analysis with small samples. One of the analytical strategies is a loss function (LF) that uses empirical Bayes Mantel-Haenszel estimators, whereas the other strategies use the classical…

This book is a solid introduction to applied statistics emphasizing computational statistics that can be done with a simple calculator. Because of the progress in speed and power of computers since the first edition in the 1970s, the book is behind in giving information on practical computation. (SLD)

In the present study, the authors investigated the initial development of the Early Expository Comprehension Assessment (EECA) by examining its reliability. The EECA consists of a compare/contrast passage, manipulatives to represent the information in the paragraph, and three response tasks ("Retelling, Mapping, and Comparing"). The authors…

The preliminary findings resulting when invented algorithm is used with entry-level students while introducing linear equations is described. As calculations are accessible, the algorithm is preferable to more rigorous statistical procedures in entry-level classrooms.

The self-weighted mean ("WS')--in which each value is weighted by itself--is presented in several contexts and illustrated. It is incorporated in a set of more familiar means. Intuitions concerning "WS" are explored.

This article defines the generalized mean and shows how it relates to such statistics as the arithmetic, geometric and harmonic means.

This article describes the most compact 100c% interval for a probability density for 0

Descriptors: Probability, Computation, Mathematical Concepts, Statistics