Categorical

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tandfonline.com – Generalized linear models for ordered categorical data

Posted on by Troels Gannerup Christensen - Læst 18 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract Categorical scale data are only ordinal and defined on a finite set. Continuous scale data are only ordinal and defined on a bounded interval. Due to that character, the statistical methods for scale data ought to be based on orders between outcomes only and not any metric involving distance measure. For simple two-sample scale data, variants of classical rank methods are suitable. For regression type of problems, there are known good generalized linear models for separate categories for… Continue Reading →

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tandfonline.com – Developing Knowledge for Teaching Graphing of Bivariate Categorical Data

Posted on by Troels Gannerup Christensen - Læst 9 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Due to the increased role of statistics in current curriculum standards, there is at present a call for attention to secondary teachers’ knowledge for teaching statistics in teacher education. This article reports the results of a study that answered this call by addressing mathematics teachers’ knowledge for teaching graphing of bivariate categorical data. Novel curriculum materials to develop such knowledge were written then implemented with mathematics teachers in courses at four post-secondary schools. Results showed that prior to use of the materials, teachers’ graphical competence was limited with teachers often utilizing frequencies when analyzing the data. Following use of the materials, they were more likely to correctly use relative frequencies in their analysis and expanded their knowledge of… Continue Reading →