Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution. Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student’s r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems. This book will prove useful to advance graduate mathematical statistics students.
An accessible introduction to performing meta-analysis across various areas of research The practice of meta-analysis allows researchers to obtain findings from various studies and compile them to verify and form one overall conclusion. Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on the topic with a wealth of up-to-date information, this book successfully introduces the essential statistical practices for making thorough and accurate discoveries across a wide array of diverse fields, such as business, public health, biostatistics, and environmental studies. Two main types of statistical analysis serve as the foundation of the methods and techniques: combining tests of effect size and combining estimates of effect size. Additional topics covered include: Meta-analysis regression procedures Multiple-endpoint and multiple-treatment studies The Bayesian approach to meta-analysis Publication bias Vote counting procedures Methods for combining individual tests and combining individual estimates Using meta-analysis to analyze binary and ordinal categorical data Numerous worked-out examples in each chapter provide the reader with a step-by-step understanding of the presented methods. All exercises can be computed using the R and SAS software packages, which are both available via the book's related Web site. Extensive references are also included, outlining additional sources for further study. Requiring only a working knowledge of statistics, Statistical Meta-Analysis with Applications is a valuable supplement for courses in biostatistics, business, public health, and social research at the upper-undergraduate and graduate levels. It is also an excellent reference for applied statisticians working in industry, academia, and government.
An advanced discussion of linear models with mixed or randomeffects. In recent years a breakthrough has occurred in our ability todraw inferences from exact and optimum tests of variance componentmodels, generating much research activity that relies on linearmodels with mixed and random effects. This volume covers the mostimportant research of the past decade as well as the latestdevelopments in hypothesis testing. It compiles all currentlyavailable results in the area of exact and optimum tests forvariance component models and offers the only comprehensivetreatment for these models at an advanced level. Statistical Tests for Mixed Linear Models: Combines analysis and testing in one self-containedvolume. Describes analysis of variance (ANOVA) procedures in balancedand unbalanced data situations. Examines methods for determining the effect of imbalance ondata analysis. Explains exact and optimum tests and methods for theirderivation. Summarizes test procedures for multivariate mixed and randommodels. Enables novice readers to skip the derivations and discussionson optimum tests. Offers plentiful examples and exercises, manyof which are numerical in flavor. Provides solutions to selected exercises. Statistical Tests for Mixed Linear Models is an accessiblereference for researchers in analysis of variance, experimentaldesign, variance component analysis, and linear mixed models. It isalso an important text for graduate students interested in mixedmodels.
The first book on the concept and applications of ranked set sampling. It provides a comprehensive review of the literature, and it includes many new results and novel applications. The detailed description of various methods illustrated by real or simulated data makes it useful for scientists and practitioners in application areas such as agriculture, forestry, sociology, ecological and environmental science, and medical studies. It can serve as a reference book and as a textbook for a short course at the graduate level.
The State Practice of India and the Development of International Law by Bimal N. Patel provides a critical analysis of India’s state practice and development of international law.
National Security of India and International Law is a pioneering inter-disciplinary scholarly exercise in the context of India. It offers first-of-its kind perspective on interplay between the needs, concerns and interests of the national security actors, means and institutions and inherent limitations and prospects of international law to achieve the national security objectives of India. The work analyses traditional and contemporary issues and challenges – water, natural resources, refugee management, use of force, nuclear doctrine, space developments, defense procurement and manufacturing and private players, among others. It aims to generate inter-disciplinary debate, teaching and research in this emerging field of national security.
The Indian Economy: Problems and Prospects, first published in 1992, looks at the country's economy and the resolved fiscal crisis from a historical perspective. Edited and updated with a new Introduction by Bimal Jalan, the book retains the thirteen essays written by eminent economic thinkers in 1991 and 1992 in their original form as they provide a comprehensive overview of India's economic development since Independence and answer questions on key economic issues that are as relevant today as they were at that time. Bipan Chandra conducts a historical survey of fiscal developments during the colonial period, the late V.M. Dandekar evaluates India's economic performance from 1950 to 1990, and Rakesh Mohan traces the history of industrial controls from the pre-independence era. Also included are essays by C.H. Hanumantha Rao, C. Rangarajan and Narendra Jadhav, Raja Chelliah, Sudipto Mundle and M. Govinda Rao, Jyoti and Kirit Parikh, Pravin Visaria, T.S. Papola, Pranab Bardhan and Kaushik Basu. In his revised Introduction, Bimal Jalan assesses the country's economic progress since 1991, examines crucial events and their relative significance. Exploring diverse aspects of the Indian economy as well as the political, institutional and legal implications of economic reforms, these insightful and revelatory essays will be of enormous interest to experts and the general reader alike.
Microwaves in Chemistry Applications: Fundamentals, Methods and Future Trends offers a number of benefits over conventional heating technologies, including acceleration of reaction rates, milder reaction conditions, higher chemical yields, lower energy usage and different reaction selectivity, all of which can improve the sustainability of processes. The book provides valuable insights into the underlying chemistry at play in microwave-assisted processes, introducing fundamental concepts, discussing the modeling of reactions in such processes, and also highlighting a range of key methods and applications of microwaves in chemistry for improved sustainability. Beginning with an introduction to microwave chemistry, Part One discusses foundational principles, equipment and approaches for modeling reactions and assessing the outputs of those models. Methods in microwave chemistry are then the focus of Part Two, with microwave-assisted synthesis, catalysis, reduction and reactions all explored in detail. Part Three reflects on the practical usage of these methods to address specific issues, covering a number of interesting applications. Provides guidance on the modeling and interpretation of microwave effects Discusses microwave chemistry in the context of green chemistry principles Outlines a range of important microwave methods, including microwave-assisted synthesis, catalysis, reactions and reductions
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