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Ordinal data can be rank ordered but not assumed to have equal distances between categories. Using support by judges for civil rights measures and bussing as the primary example, this paper indicates how such data can best be analyzed.
Social sciences --- Numbers, Ordinal. --- Statistical methods.
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Social sciences --- Numbers, Ordinal --- Statistical methods --- 519.2 --- #WWIS:STAT --- Ordinal numbers --- Number theory --- Proof theory --- Set theory --- Probability. Mathematical statistics --- Numbers, Ordinal. --- Statistical methods. --- 519.2 Probability. Mathematical statistics --- Nombres ordinaux --- #SBIB:004.IO --- -Numbers, Ordinal --- #SBIB:303H10 --- 681.3*G --- 681.3*G Mathematics of computing --- Mathematics of computing --- Methoden en technieken: algemene handboeken en reeksen --- Quantitative methods in social research --- Mathematical statistics --- Sciences sociales --- Méthodes statistiques --- Social sciences - Statistical methods
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The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory, combinatorics, general topology, functional analysis, and general algebra. The intended audience for this book are graduate students and researchers working in these areas interested in mastering and applying these methods.
Numbers, Ordinal. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Ordinal numbers --- Number theory --- Proof theory --- Set theory --- Combinatorics. --- Number Theory. --- Combinatorics --- Mathematical analysis
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Ordinal Data Modeling is a comprehensive treatment of ordinal data models from both likelihood and Bayesian perspectives. Written for graduate students and researchers in the statistical and social sciences, this book describes a coherent framework for understanding binary and ordinal regression models, item response models, graded response models, and ROC analyses, and for exposing the close connection between these models. A unique feature of this text is its emphasis on applications. All models developed in the book are motivated by real datasets, and considerable attention is devoted to the description of diagnostic plots and residual analyses. Software and datasets used for all analyses described in the text are available on websites listed in the preface.
Numbers, Ordinal --- Policy sciences --- Social sciences --- 519.22 --- Policy-making --- Policymaking --- Public policy management --- Ordinal numbers --- Number theory --- Proof theory --- Set theory --- 519.22 Statistical theory. Statistical models. Mathematical statistics in general --- Statistical theory. Statistical models. Mathematical statistics in general --- Statistical methods --- Mathematical statistics --- Statistics. --- Statistics for Social Sciences, Humanities, Law. --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Mathematics --- Econometrics --- Statistical methods. --- Social sciences - Statistical methods --- Policy sciences - Statistical methods
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