Stochastic Complexity In Statistical Inquiry
Stochastic Complexity In Statistical Inquiry

Author: Jorma Rissanen

Publisher: World Scientific

Published: 1998-10-07

Total Pages: 191

ISBN-13: 9814507407

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This book describes how model selection and statistical inference can be founded on the shortest code length for the observed data, called the stochastic complexity. This generalization of the algorithmic complexity not only offers an objective view of statistics, where no prejudiced assumptions of 'true' data generating distributions are needed, but it also in one stroke leads to calculable expressions in a range of situations of practical interest and links very closely with mainstream statistical theory. The search for the smallest stochastic complexity extends the classical maximum likelihood technique to a new global one, in which models can be compared regardless of their numbers of parameters. The result is a natural and far reaching extension of the traditional theory of estimation, where the Fisher information is replaced by the stochastic complexity and the Cramer-Rao inequality by an extension of the Shannon-Kullback inequality. Ideas are illustrated with applications from parametric and non-parametric regression, density and spectrum estimation, time series, hypothesis testing, contingency tables, and data compression.

Encyclopedia of Research Design
Encyclopedia of Research Design

Author: Neil J. Salkind

Publisher: SAGE

Published: 2010-06-22

Total Pages: 1779

ISBN-13: 1412961270

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"Comprising more than 500 entries, the Encyclopedia of Research Design explains how to make decisions about research design, undertake research projects in an ethical manner, interpret and draw valid inferences from data, and evaluate experiment design strategies and results. Two additional features carry this encyclopedia far above other works in the field: bibliographic entries devoted to significant articles in the history of research design and reviews of contemporary tools, such as software and statistical procedures, used to analyze results. It covers the spectrum of research design strategies, from material presented in introductory classes to topics necessary in graduate research; it addresses cross- and multidisciplinary research needs, with many examples drawn from the social and behavioral sciences, neurosciences, and biomedical and life sciences; it provides summaries of advantages and disadvantages of often-used strategies; and it uses hundreds of sample tables, figures, and equations based on real-life cases."--Publisher's description.

Statistical Inference as Severe Testing
Statistical Inference as Severe Testing

Author: Deborah G. Mayo

Publisher: Cambridge University Press

Published: 2018-09-20

Total Pages: 503

ISBN-13: 1108563309

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Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

Scientific Research in Education
Scientific Research in Education

Author: National Research Council

Publisher: National Academies Press

Published: 2002-03-28

Total Pages: 204

ISBN-13: 0309133092

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Researchers, historians, and philosophers of science have debated the nature of scientific research in education for more than 100 years. Recent enthusiasm for "evidence-based" policy and practice in educationâ€"now codified in the federal law that authorizes the bulk of elementary and secondary education programsâ€"have brought a new sense of urgency to understanding the ways in which the basic tenets of science manifest in the study of teaching, learning, and schooling. Scientific Research in Education describes the similarities and differences between scientific inquiry in education and scientific inquiry in other fields and disciplines and provides a number of examples to illustrate these ideas. Its main argument is that all scientific endeavors share a common set of principles, and that each fieldâ€"including education researchâ€"develops a specialization that accounts for the particulars of what is being studied. The book also provides suggestions for how the federal government can best support high-quality scientific research in education.

Principle of Statistics by Dr. Alok Gupta
Principle of Statistics by Dr. Alok Gupta

Author: Dr. Alok Gupta

Publisher: SBPD Publications

Published: 2020-06-30

Total Pages: 567

ISBN-13: 9388117352

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1. Statistics : Meaning, Nature and Limitation, 2. Statistics : Scope and Importance, 3. Statistical Investigation, 4. Process of Data Collection, 5. Methods of Sampling, 6. Preparation of Questionnaire, 7. Classification and Tabulation of Data, 8. Measures of Central Tendency, 9. Quartiles, 10. Geometric Mean and Harmonic Mean, 11. Measures of Dispersion, 12. Measures of Skewness, 13. Analysis of Time Series, 14. Correlation, 15. Regression Analysis, 16. Regression Analysis, 17. Diagrammatic Presentation of Data, 18. Graphic Presentation of Data, Appendix (Log-Antilog Table).

Assessment Methods in Statistical Education
Assessment Methods in Statistical Education

Author: Penelope Bidgood

Publisher: John Wiley & Sons

Published: 2010-03-10

Total Pages: 304

ISBN-13: 9780470710463

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Assessment Methods in Statistical Education: An International Perspective provides a modern, international perspective on assessing students of statistics in higher education. It is a collection of contributions written by some of the leading figures in statistical education from around the world, drawing on their personal teaching experience and educational research. The book reflects the wide variety of disciplines, such as business, psychology and the health sciences, which include statistics teaching and assessment. The authors acknowledge the increasingly important role of technology in assessment, whether it be using the internet for accessing information and data sources or using software to construct and manage individualised or online assessments. Key Features: Presents successful assessment strategies, striking a balance between formative and summative assessment, individual and group work, take-away assignments and supervised tests. Assesses statistical thinking by questioning students’ ability to interpret and communicate the results of their analysis. Relates assessment to the real world by basing it on real data in an appropriate context. Provides a range of individualised assessment methods, including those that deter plagiarism and collusion by providing each student with a unique problem to solve or dataset to analyse. This book is essential reading for anyone involved in teaching statistics at tertiary level or interested in statistical education research.

Principles of Statistical Inquiry
Principles of Statistical Inquiry

Author: Archibald Russell

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781022100374

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Russell provides a detailed overview of the principles of statistical inquiry, including discussions of probability theory, data collection and analysis, and hypothesis testing. He emphasizes the importance of statistical literacy in today's society, and makes a compelling case for the need for a scientifically literate citizenry. This book is an excellent resource for anyone interested in the fundamentals of statistics and its applications. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.