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Pairwise Multiple Comparisons, Taka-aki Shiraishi; Hiroshi Sugiura; Shin-ichi Mat


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Автор: Taka-aki Shiraishi; Hiroshi Sugiura; Shin-ichi Mat
Название:  Pairwise Multiple Comparisons
ISBN: 9789811500657
Издательство: Springer
Классификация:


ISBN-10: 9811500657
Обложка/Формат: Soft cover
Страницы: 102
Вес: 0.19 кг.
Дата издания: 2019
Серия: JSS Research Series in Statistics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 11 illustrations, black and white; viii, 102 p. 11 illus.
Размер: 234 x 156 x 6
Читательская аудитория: Professional & vocational
Основная тема: Statistics
Подзаголовок: Theory and Computation
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book focuses on all-pairwise multiple comparisons of means in multi-sample models, introducing closed testing procedures based on maximum absolute values of some two-sample t-test statistics and on F-test statistics in homoscedastic multi-sample models. It shows that (1) the multi-step procedures are more powerful than single-step procedures and the Ryan/Einot–Gabriel/Welsh tests, and (2) the confidence regions induced by the multi-step procedures are equivalent to simultaneous confidence intervals. Next, it describes the multi-step test procedure in heteroscedastic multi-sample models, which is superior to the single-step Games–Howell procedure. In the context of simple ordered restrictions of means, the authors also discuss closed testing procedures based on maximum values of two-sample one-sided t-test statistics and based on Bartholomews statistics. Furthermore, the book presents distribution-free procedures and describes simulation studies performed under the null hypothesis and some alternative hypotheses. Although single-step multiple comparison procedures are generally used, the closed testing procedures described are more powerful than the single-step procedures. In order to execute the multiple comparison procedures, the upper 100? percentiles of the complicated distributions are required. Classical integral formulas such as Simpsons rule and the Gaussian rule have been used for the calculation of the integral transform that appears in statistical calculations. However, these formulas are not effective for the complicated distribution. As such, the authors introduce the sinc method, which is optimal in terms of accuracy and computational cost.
Дополнительное описание: 1. All-Pairwise Comparisons in Homoscedastic Multi-Sample Models.- 2. Multiple Comparisons in Heteroscedastic Multi-Sample Models.- 3. Multiple Comparison Procedures under Simple Order Restrictions.- 4.: Nonparametric Procedures Based on Rank Statistic



Intelligent Comparisons: Analytic Inequalities

Автор: George A. Anastassiou
Название: Intelligent Comparisons: Analytic Inequalities
ISBN: 331921120X ISBN-13(EAN): 9783319211206
Издательство: Springer
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Цена: 23508.00 р.
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Описание: The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.The book`s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations.

The Information Theory of Comparisons

Автор: Roger Bowden
Название: The Information Theory of Comparisons
ISBN: 981134647X ISBN-13(EAN): 9789811346477
Издательство: Springer
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Цена: 11878.00 р.
Наличие на складе: Поставка под заказ.

Описание: This book finds a broad domain of relevance in statistics and the social sciences. Its conceptual development is supported by applications to economics and income distribution, finance, education, demographics and actuarial science, political studies, psychology, and general statistics. Fresh perspectives on directional complexity have generated an informational theory of ‘more versus less’, with representative polar outcomes as good or bad, or rich or poor. New duality metrics for spread and asymmetry have resulted, motivated by internal perspectives on the part of subjects, such as attitudes to their comparative (dis)advantage. This book is a readable review of these developments. Concepts and applications are described in tandem with each other. They consolidate recent contributions to the research literature, augmented with fresh insights and applications. Dynamic extensions include modeling shifting social attitudes, while the broader agenda encompasses topical areas such as subjectivist probability, investment decision making, and income distribution.

Intelligent Comparisons: Analytic Inequalities

Автор: George A. Anastassiou
Название: Intelligent Comparisons: Analytic Inequalities
ISBN: 331937060X ISBN-13(EAN): 9783319370606
Издательство: Springer
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Цена: 20896.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.The book`s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations.

Intelligent Comparisons II: Operator Inequalities and Approximations

Автор: George A. Anastassiou
Название: Intelligent Comparisons II: Operator Inequalities and Approximations
ISBN: 3319514741 ISBN-13(EAN): 9783319514741
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This compact book focuses on self-adjoint operators` well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries.


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