Manipur General Knowledge At A Glance R 954

Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and developed independently by Hotelling (1933). Like many multivariate methods, it was not widely used until the advent of electronic computers, but it is now weIl entrenched in virtually every statistical computer package. The central idea of principal component analysis is to reduce the dimen sionality of a data set in which there are a large number of interrelated variables, while retaining as much as possible of the variation present in the data set. This reduction is achieved by transforming to a new set of variables, the principal components, which are uncorrelated, and which are ordered so that the first few retain most of the variation present in all of the original variables. Computation of the principal components reduces to the solution of an eigenvalue-eigenvector problem for a positive-semidefinite symmetrie matrix. Thus, the definition and computation of principal components are straightforward but, as will be seen, this apparently simple technique has a wide variety of different applications, as weIl as a number of different deri vations. Any feelings that principal component analysis is a narrow subject should soon be dispelled by the present book; indeed some quite broad topics which are related to principal component analysis receive no more than a brief mention in the final two chapters.

This new edition of Burton Stein's classic A History of India builds on the success of the original to provide an updated narrative of the development of Indian society, culture, and politics from 7000 BC to the present. New edition of Burton Stein’s classic text provides a narrative from 7000 BC up to the twenty-first century Includes updated and extended coverage of the modern period, with a new chapter covering the death of Nehru in 1964 to the present Expands coverage of India's internal political and economic development, and its wider diplomatic role in the region Features a new introduction, updated glossary and further reading sections, and numerous figures, photographs and fully revised maps Part of The Blackwell History of the World Series The goal of this ambitious series is to provide an accessible source of knowledge about the entire human past, for every curious person in every part of the world. It will comprise some two dozen volumes, of which some provide synoptic views of the history of particular regions while others consider the world as a whole during a particular period of time. The volumes are narrative in form, giving balanced attention to social and cultural history (in the broadest sense) as well as to institutional development and political change. Each provides a systematic account of a very large subject, but they are also both imaginative and interpretative. The Series is intended to be accessible to the widest possible readership, and the accessibility of its volumes is matched by the style of presentation and production.

Heir to a diverse array of traditions, the Indian subcontinent boasts customs that are distinguished by a constant juxtaposition of the ancient and the modern. The omnibus culture that has resulted from a rich history reflects an accommodation of ideas from across the globe and over time. This inviting narrative examines the tapestry of major events and beliefs that imbue everyday Indian life with vitality, and it presents the remarkable achievements in writing and the arts that have influenced individuals throughout the world.

The AQUASTAT Programme was initiated with a view to presenting a comprehensive picture of water resources and irrigation in the countries of Africa, Asia, Latin America and the Caribbean and providing systematic, up-to-date and reliable information on water for agriculture and rural development. This report presents the results of the most recent survey carried out in the 22 countries of the Southern and Eastern Asia region, and it analyzes the changes that have occurred in the ten years since the first survey. Following the AQUASTAT methodology, the survey relied as much as possible on country-based statistics and information.

The need to understand and quantify change is fundamental throughout the environmental sciences. This might involve describing past variation, understanding the mechanisms underlying observed changes, making projections of possible future change, or monitoring the effect of intervening in some environmental system. This book provides an overview of modern statistical techniques that may be relevant in problems of this nature. Practitioners studying environmental change will be familiar with many classical statistical procedures for the detection and estimation of trends. However, the ever increasing capacity to collect and process vast amounts of environmental information has led to growing awareness that such procedures are limited in the insights that they can deliver. At the same time, significant developments in statistical methodology have often been widely dispersed in the statistical literature and have therefore received limited exposure in the environmental science community. This book aims to provide a thorough but accessible review of these developments. It is split into two parts: the first provides an introduction to this area and the second part presents a collection of case studies illustrating the practical application of modern statistical approaches to the analysis of trends in real studies. Key Features: Presents a thorough introduction to the practical application and methodology of trend analysis in environmental science. Explores non-parametric estimation and testing as well as parametric techniques. Methods are illustrated using case studies from a variety of environmental application areas. Looks at trends in all aspects of a process including mean, percentiles and extremes. Supported by an accompanying website featuring datasets and R code. The book is designed to be accessible to readers with some basic statistical training, but also contains sufficient detail to serve as a reference for practising statisticians. It will therefore be of use to postgraduate students and researchers both in the environmental sciences and in statistics.