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Direct linkRyden, Jesper – International Journal of Mathematical Education in Science and Technology, 2008
Extreme-value statistics is often used to estimate so-called return values (actually related to quantiles) for environmental quantities like wind speed or wave height. A basic method for estimation is the method of block maxima which consists in partitioning observations in blocks, where maxima from each block could be considered independent.…
Descriptors: Simulation, Probability, Computation, Nonparametric Statistics
Laming, Donald – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2006
This article reports some calculations on free-recall data from B. Murdock and J. Metcalfe (1978), with vocal rehearsal during the presentation of a list. Given the sequence of vocalizations, with the stimuli inserted in their proper places, it is possible to predict the subsequent sequence of recalls--the predictions taking the form of a…
Descriptors: Probability, Stimuli, Recall (Psychology), Prediction
Danielson, Christopher; Jenson, Eric – Mathematics Teacher, 2008
The Wednesday before Thanksgiving presents a challenge to teachers in many U.S. schools. Some students are absent because they are traveling to be with their extended families for the holiday. Other students, assuming that nothing important will happen at school when so many of their peers are absent, may also be absent. One school's solution to…
Descriptors: High School Students, Probability, Teaching Methods, Handheld Devices
Shi, W.; Kibria, B. M. Golam – International Journal of Mathematical Education in Science and Technology, 2007
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…
Descriptors: Program Effectiveness, Probability, Intervals, Simulation
Dogan, Enis; Tatsuoka, Kikumi – Educational Studies in Mathematics, 2008
This study illustrates how a diagnostic testing model can be used to make detailed comparisons between student populations participating in international assessments. The performance of Turkish students on the TIMSS-R mathematics test was reanalyzed with a diagnostic testing model called the Rule Space Model. First, mathematical and cognitive…
Descriptors: Mathematics Tests, Diagnostic Tests, Pattern Recognition, Probability
Download full textHaberman, Shelby J. – ETS Research Report Series, 2005
Some probabilistic illustrations of the reliability coefficient are provided to assist in interpretation of this measure. All explanations are derived under the assumption that the joint distribution of examinee scores from two parallel tests is well approximated by a bivariate normal distribution.
Descriptors: Probability, Reliability, Intervals, Computation
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
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
Ozechowski, Timothy J.; Turner, Charles W.; Hops, Hyman – Psychological Methods, 2007
This article demonstrates the use of mixed-effects logistic regression (MLR) for conducting sequential analyses of binary observational data. MLR is a special case of the mixed-effects logit modeling framework, which may be applied to multicategorical observational data. The MLR approach is motivated in part by G. A. Dagne, G. W. Howe, C. H.…
Descriptors: Probability, Young Adults, Sampling, Observation
Peer reviewedJohnson, Edgar M. – Psychometrika, 1972
A computational short cut suggested by Feldman and Klinger for the one-sided Fisher-Yates exact test is clarified and is extended to the calculation of probability values for certain two-sided tests when sample sizes are unequal. (Author)
Descriptors: Computation, Expectancy Tables, Mathematical Applications, Probability
Laghate, Kavita; Deshpande, M. N. – Teaching Statistics: An International Journal for Teachers, 2005
In this article, we define the inversion vector of a permutation of the integers 1, 2,..., n. We set up a particular kind of permutation, called a partial random permutation. The sum of the elements of the inversion vector of such a permutation is a random variable of interest.
Descriptors: Computation, Statistics, Mathematics, Geometric Concepts
James, John T.; Tichy, Karen L.; Collins, Alan; Schwob, John – Catholic Education: A Journal of Inquiry and Practice, 2008
This article examines a wide range of parish school indicators that can be used to predict long-term viability. The study reported in this article explored the relationship between demographic variables, financial variables, and parish grade school closures in the Archdiocese of Saint Louis. Specifically, this study investigated whether…
Descriptors: Catholic Schools, Sustainability, Predictor Variables, School Demography
Wu, Dane W.; Uken, Nicole K. – International Journal of Mathematical Education in Science and Technology, 2005
Since the game SET[R] was first introduced to the public in 1993, it has stimulated some interesting studies. While the game itself is rather straightforward, a plethora of decent mathematical questions lies beneath the surface. It is perhaps because the game ties in so closely with such an underlying mathematical term that its implications can be…
Descriptors: Abstract Reasoning, Mathematical Concepts, Computation, Games
Peer reviewedMahoney, John F. – Mathematics Teacher, 2004
The presidential election that frequently features the results of political polling is presented. These polls attempt to estimate the popular vote that each candidate would receive as they could predict who would win the elections.
Descriptors: Elections, Political Campaigns, Voting, Prediction
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
