Literature Index

Displaying 781 - 790 of 3326
  • Author(s):
    Joseph G. Eisenhauer
    Year:
    2008
    Abstract:
    This article reviews several attempts to define degrees of freedom, and offers some simple explanations of how they are derived and why they are used in various contexts.
  • Author(s):
    Lawrence M. Lesser
    Year:
    2009
    Abstract:
    A simple question about average class size yields a surprisingly rich classroom-tested exploration of conceptual and procedural knowledge about measures of central tendency
  • Author(s):
    Johnson, D. E.
    Year:
    1986
    Abstract:
    Explaining abstract, theoretical distributions to beginning students is sometimes difficult. This article describes a demonstration that helps to make the central limit theorem for generating sampling distributions concrete and understandable.
  • Author(s):
    Riniolo, T. C., & Schmidt, L. A.
    Year:
    1999
    Abstract:
    In this article, we describe a classroom demonstration that uses the Gambler's Fallacy to illustrate misconceptions about random processes and how they affect statistical interpretation. The demonstration used a database collected from simulated gambling by students picking professional football games with the point spread (i.e., a real-life random process). The results of student picks illustrated that random processes are not self-correcting and reinforced the relation between sample size and variability. Formal and informal feedback from students indicated that the demonstration was well received and recommended for future classes.
  • Author(s):
    Kelley, R. M.
    Year:
    2004
    Abstract:
    This article describes 2 simple and effective classroom demonstrations of the Monty Hall Dilemma (MHD). The MHD is based on a choice scenario from the game show Let's Make A Deal (1975-1985) in which a contestant attempts to select the winning door from a set of 3 alternatives. The dilemma emerges when, after the initial selection, 1 of the nonwinning doors is revealed and the contestant must choose whether to stay with the initial selection or switch to the remaining door. Although intuitively it seems that the odds of winning are now 50-50, in reality, switching produces more wins that staying. The MHD illustrates the pitfalls associated with the use of cognitive shortcuts or heuristics and can be used to demonstrate the importance of empirical observation and experimentation.
  • Author(s):
    Allen, E. & Sharpe, N. R.
    Editors:
    Stephenson, W. R.
    Year:
    2005
    Abstract:
    This article uses a case study of 2001 town and city data that we analyzed for Boston Magazine. We use this case study to demonstrate the challenges of creating a valid ranking structure. The data consist of three composite indices for 147 individual townships in the Boston metropolitan area representing measures of public safety; the environment; and health. We report the data and the basic ranking procedure used in the magazine article, as well as a discussion of alternative ranking procedures. In particular, we demonstrate the impact of additional adjustment for the size of population, even when per capita data are used. This case study presents an opportunity for discussion of fundamental data analysis concepts in all levels of statistics courses.
  • Author(s):
    da Graca Pereira, M.
    Editors:
    Starkings, S.
    Year:
    2000
    Abstract:
    This paper deals with the introduction of hypermedia technologies in statistical methods as well as their applications in the training of students. A hypermedia prototype to show statistical methods was developed and the toolkits are Toolbook and Kappa. Several screens were developed in a electronic book. The screens show the calculations modules. Some statistical graphs are shown through the screens. The electronic book shows about theoretical methods to calculate means, medians and variance for samples and it provides a deep knowledge about statistical methods. The consultation sessions are quite complete, allowing the student to learn the theory and practice to solve statistical problems. An hypertext system represents the information, in a different way from others usually employed because it is presented as a non-linear mode and, therefore, allowing to take advice with information in agreement with user interests.<br><br>Hypertext and hypermedia systems allow us to reach the following objectives:<br><br>* The structure of the classical text files;<br>* Non-Linear navigation on any selected order of the stored text;<br>* Cooperation, i. e., information with different formats, text, graphs, images, video and voice;<br>* Interaction, what means, sophisticate access tools, as graphical interfaces.<br><br>The paper debates about publications that suggest the benefits of hypermedia systems applications in personal training models.
  • Author(s):
    Cobb, P., Confrey, J., diSessa, A., Lehrer, R., Schauble, L.
    Year:
    2003
    Abstract:
    In this article, the authors first indicate the range of purposes and the variety of settings in which design experiments have been conducted and then delineate five crosscutting features that collectively differentiate design experiments from other methodologies. Design experiments have both a pragmatic bent--"engineering" particular forms of learning--and a theoretical orientation--developing domain-specific theories by systematically studying those forms of learning and the means of supporting them. The authors clarify what is involved in preparing for and carrying out a design experiment, and in conducting a retrospective analysis of the extensive, longitudinal data sets generated during an experiment. Logistical issues, issues of measure, the importance of working through the data systematically, and the need to be explicit about the criteria for making inferences are discussed.
  • Author(s):
    Manor, H., & Ben-Zvi, D.
    Editors:
    G. Burrill and D. Ben-Zvi
  • Author(s):
    Gravemeijer, K., &amp; Bakker, A.
    Editors:
    Rossman, A., &amp; Chance, B.
    Year:
    2006
    Abstract:
    Design research projects can be characterized as iterative and theory based attempts simultaneously to understand and improve educational processes. To contribute to a framework for design in statistics education, this paper draws on two design research projects, one carried out by Cobb, Gravemeijer and colleagues in the United States and one by Bakker and Gravemeijer in The Netherlands, both focusing on distribution as a core concept in the instructional design. Both projects were inspired by the theory of realistic mathematics education, which includes design heuristics such as guided reinvention, historical and didactical phenomenology, and emergent modeling. Each of these heuristics is briefly illustrated with examples from these two projects.

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The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education