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Bonnett, Laura J.; White, Simon R. – Teaching Statistics: An International Journal for Teachers, 2019
We describe an activity that introduces students to population modelling, enables them to use estimates obtained from a sample to infer back to the population, and understands how the findings are translatable via penguins and their poo!
Descriptors: Mathematics Activities, Mathematical Models, Statistics, Statistical Inference
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Sarkar, Jyotirmoy; Rashid, Mamunur – Educational Research Quarterly, 2017
The standard deviation (SD) of a random sample is defined as the square-root of the sample variance, which is the "mean" squared deviation of the sample observations from the sample mean. Here, we interpret the sample SD as the square-root of twice the mean square of all pairwise half deviations between any two sample observations. This…
Descriptors: Sample Size, Sampling, Visualization, Geometric Concepts
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Stern, Harold P. E. – American Journal of Engineering Education, 2010
Many bandpass signals can be sampled at rates lower than the Nyquist rate, allowing significant practical advantages. Illustrating this phenomenon after discussing (and proving) Shannon's sampling theorem provides a valuable opportunity for an instructor to reinforce the principle that innovation is possible when students strive to have a complete…
Descriptors: Engineering Education, Engineering, Acoustics, Mathematical Models
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Ojeda, Mario Miguel; Sahai, Hardeo – International Journal of Mathematical Education in Science and Technology, 2002
Students in statistics service courses are frequently exposed to dogmatic approaches for evaluating the role of randomization in statistical designs, and inferential data analysis in experimental, observational and survey studies. In order to provide an overview for understanding the inference process, in this work some key statistical concepts in…
Descriptors: Probability, Data Analysis, Sampling, Statistical Inference
Tsutakawa, Robert K. – 1984
This report describes new statistical procedures for item response analysis using estimation of item response curves used in mental testing with ability parameters treated as a random sample. Modern computer technology and the EM algorithm make this solution possible. The research focused on the theoretical formulation and solution of maximum…
Descriptors: Ability, Bayesian Statistics, Estimation (Mathematics), Item Sampling
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Amati, Gianni; Crestani, Fabio – Information Processing & Management, 1999
Describes and evaluates a learning model for information filtering and selective dissemination of information which is an adaptation of the generalized probabilistic model of information retrieval. The model is based on the concept of uncertainty sampling that allows for relevance feedback both on relevant and nonrelevant documents. (Author/LRW)
Descriptors: Evaluation Methods, Feedback, Information Retrieval, Learning Processes
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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
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Bechger, Timo M.; Maris, Gunter – Psicologica: International Journal of Methodology and Experimental Psychology, 2004
This paper is about the structural equation modelling of quantitative measures that are obtained from a multiple facet design. A facet is simply a set consisting of a finite number of elements. It is assumed that measures are obtained by combining each element of each facet. Methods and traits are two such facets, and a multitrait-multimethod…
Descriptors: Structural Equation Models, Multitrait Multimethod Techniques, Schematic Studies, Correlation
Schultz, Matthew T.; Geisinger, Kurt F. – 1992
Research efforts have established that the Mantel-Haenszel procedure (MHP) is an effective method for detecting the presence of test items exhibiting differential item functioning (DIF). While the MHP has been advocated for situations where item response theory based methods may not be usable, recent findings have suggested that the performance of…
Descriptors: College Entrance Examinations, Comparative Analysis, Control Groups, Equations (Mathematics)