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Categorical Data Analysis Commons™

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2019

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Articles 31 - 33 of 33

Full-Text Articles in Categorical Data Analysis

A New Independence Measure And Its Applications In High Dimensional Data Analysis, Chenlu Ke Jan 2019

A New Independence Measure And Its Applications In High Dimensional Data Analysis, Chenlu Ke

Theses and Dissertations--Statistics

This dissertation has three consecutive topics. First, we propose a novel class of independence measures for testing independence between two random vectors based on the discrepancy between the conditional and the marginal characteristic functions. If one of the variables is categorical, our asymmetric index extends the typical ANOVA to a kernel ANOVA that can test a more general hypothesis of equal distributions among groups. The index is also applicable when both variables are continuous. Second, we develop a sufficient variable selection procedure based on the new measure in a large p small n setting. Our approach incorporates marginal information between …

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Improved N-Dimensional Data Visualization From Hyper-Radial Values, Todd J. Paciencia, Trevor J. Bihl, Kenneth W. Bauer Jan 2019

Improved N-Dimensional Data Visualization From Hyper-Radial Values, Todd J. Paciencia, Trevor J. Bihl, Kenneth W. Bauer

Faculty Publications

Higher-dimensional data, which is becoming common in many disciplines due to big data problems, are inherently difficult to visualize in a meaningful way. While many visualization methods exist, they are often difficult to interpret, involve multiple plots and overlaid points, or require simultaneous interpretations. This research adapts and extends hyper-radial visualization, a technique used to visualize Pareto fronts in multi-objective optimizations, to become an n-dimensional visualization tool. Hyper-radial visualization is seen to offer many advantages by presenting a low-dimensionality representation of data through easily understood calculations. First, hyper-radial visualization is extended for use with general multivariate data. Second, a method …

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Dimensionality And Factorial Invariance Of Religiosity Among Christians And The Religiously Unaffiliated: A Cross-Cultural Analysis Based On The International Social Survey Programme, Carlos Miguel Lemos, Ross Joseph Gore, Ivan Puga-Gonzalez, F. Leron Shults Jan 2019

Dimensionality And Factorial Invariance Of Religiosity Among Christians And The Religiously Unaffiliated: A Cross-Cultural Analysis Based On The International Social Survey Programme, Carlos Miguel Lemos, Ross Joseph Gore, Ivan Puga-Gonzalez, F. Leron Shults

VMASC Publications

We present a study of the dimensionality and factorial invariance of religiosity for 26 countries with a Christian heritage, based on the 1998 and 2008 rounds of the International Social Survey Programme (ISSP) Religion survey, using both exploratory and multi-group confirmatory factor analyses. The results of the exploratory factor analysis showed that three factors, common to Christian and religiously unaffiliated respondents, could be extracted from our initially selected items and suggested the testing of four different three-factor models using multi-group confirmatory factor analysis. For the model with the best fit and measurement invariance properties, we labeled the three resulting factors …

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