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Books > Social sciences > Sociology, social studies > Social research & statistics
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Statistical Data Analysis and Entropy (Paperback, 1st ed. 2020)
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Statistical Data Analysis and Entropy (Paperback, 1st ed. 2020)
Series: Behaviormetrics: Quantitative Approaches to Human Behavior, 3
Expected to ship within 10 - 15 working days
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This book reconsiders statistical methods from the point of view of
entropy, and introduces entropy-based approaches for data analysis.
Further, it interprets basic statistical methods, such as the
chi-square statistic, t-statistic, F-statistic and the maximum
likelihood estimation in the context of entropy. In terms of
categorical data analysis, the book discusses the entropy
correlation coefficient (ECC) and the entropy coefficient of
determination (ECD) for measuring association and/or predictive
powers in association models, and generalized linear models (GLMs).
Through association and GLM frameworks, it also describes ECC and
ECD in correlation and regression analyses for continuous random
variables. In multivariate statistical analysis, canonical
correlation analysis, T2-statistic, and discriminant analysis are
discussed in terms of entropy. Moreover, the book explores the
efficiency of test procedures in statistical tests of hypotheses
using entropy. Lastly, it presents an entropy-based path analysis
for structural GLMs, which is applied in factor analysis and latent
structure models. Entropy is an important concept for dealing with
the uncertainty of systems of random variables and can be applied
in statistical methodologies. This book motivates readers,
especially young researchers, to address the challenge of new
approaches to statistical data analysis and behavior-metric
studies.
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