For much of the twentieth century, Markov theory and Markov processes have been widely accepted as valid ways to view statistical variables and parameters. In the complex realm of online searching, where researchers are always seeking the route to the best search strategies and the most powerful query terms and sequences, Markov process analysis…

Presents the dice game "Drop Dead" as an example of an absorbing Markov chain. Determines the expected length and expected score of a turn of the game. (ASK)

The Markov random graphs of O. Frank and D. Strauss (1986) and the estimation strategy for these models developed by Strauss and M. Ikeda (1990) are promising contributions. This paper describes a large class of models that can be used to investigate structure in social networks and illustrates their use. (SLD)

Developed an item response model for characterizing test-compromise that enables the estimation of item preview and score-gain distributions. In the approach, models parameters and posterior distributions are estimated by Markov Chain Monte Carlo procedures. Simulation study results suggest that when at least some test items are known to be…

This study examined the efficacy of an infrequently used statistical analysis in counselor education research. A Markov chain analysis was used to examine hypothesized differences between students' use of counseling skills in an introductory course. Thirty graduate students participated in the study. Independent raters identified the microskills…

Higher-order latent traits are proposed for specifying the joint distribution of binary attributes in models for cognitive diagnosis. This approach results in a parsimonious model for the joint distribution of a high-dimensional attribute vector that is natural in many situations when specific cognitive information is sought but a less informative…

This article proposes a practical method that capitalizes on the availability of information from multiple tests measuring correlated abilities given in a single test administration. By simultaneously estimating different abilities with the use of a hierarchical Bayesian framework, more precise estimates for each ability dimension are obtained.…

A lognormal model for the response times of a person on a set of test items is investigated. The model has a parameter structure analogous to the two-parameter logistic response models in item response theory, with a parameter for the speed of each person as well as parameters for the time intensity and discriminating power of each item. It is…

This study used a computerized simulation and problem-solving tool along with artificial neural networks (ANN) as pattern recognizers to identify the common types of strategies high school and college undergraduate chemistry students would use to solve qualitative chemistry problems. Participants were 134 high school chemistry students who used…

Considers the random sum SN+X1+X2+...+XN with a stopping rule N=min((n: SN absorbing Markov chain. (AIM)

Counselor ratings and statistical data from client files were gathered for 71 rehabilitation clients. A Markov Chain model was developed which provided viable probabilities for predicting rehabilitation outcome at three time periods, from 1 to 13 weeks after initial interview. Predictions generally followed a time progression toward stronger and…

Games are promoted as examples for classroom discussion of stationary Markov chains. In a game context Markov chain terminology and results are made concrete, interesting, and entertaining. Game length for several-player games such as "Hi Ho! Cherry-O" and "Chutes and Ladders" is investigated and new, simple formulas are given. Slight…

The accuracy of the Markov chain Monte Carlo procedure, Gibbs sampling, was considered for estimation of item and ability parameters of the one-parameter logistic model. Four data sets were analyzed to evaluate the Gibbs sampling procedure. Data sets were also analyzed using methods of conditional maximum likelihood, marginal maximum likelihood,…

Uses longitudinal study of differences between boys and girls in levels of mathematics and science achievement across grades 7 through 10 to extend hierarchical modeling to allow for regression among latent variables using a fully Bayesian approach. (Contains 30 references.) (PKP)

Gigerenzer (2000) and Anderson (1990) analyzed reasoning by asking: what are the reasoner's goals? This emphasizes the adaptiveness of behavior rather than whether a belief is normative. Belief in the ''hot hand'' in basketball suggests that players experiencing streaks should be given more shots, but this has been seen as a fallacy due to…