An Omnibus Test for Univariate and Multivariate Normality


Book Description

We suggest a convenient version of the omnibus test for normality, using skewness and kurtosis based on Shenton and Bowman [Journal of the American Statistical Association (1977) Vol. 72, pp. 206211], which controls well for size, for samples as low as 10 observations. A multivariate version is introduced. Size and power are investigated in comparison with four other tests for multivariate normality. The first power experiments consider the whole skewness-kurtosis plane; the second use a bivariate distribution which has normal marginals. It is concluded that the proposed test has the best size and power properties of the tests considered.




Testing For Normality


Book Description

Describes the selection, design, theory, and application of tests for normality. Covers robust estimation, test power, and univariate and multivariate normality. Contains tests ofr multivariate normality and coordinate-dependent and invariant approaches.




An Overall Test for Multivariate Normality


Book Description

There are a number of methods in the statistical literature for testing whether observed data came from a multivariate normal(MVN) distribution with an unknown mean vector and covariance matrix. Let X1 ... be an iid sample of size n from a p-variate normal distribution. Denote the sample mean and sample variance-covariance matrix by X and S respectively. Most of the tests of multivariate normality are based on the results that Yi-S-1/2(Xi - X), i=1,.., n, are asymptotically iid as p-variate normal than zero mean vector and identity covariance matrix. Tests developed by Andrews et al., Mardina and others are direct functions of Yi. We note that the N=np components of the Yi's put together can be considered as an asymptotically iid sample of size N from a univariate normal any well known test based on N independent observations for univariate normality. In Particular we can use univariate skewness and kurtosis tests, which are sensitive to deviations from normality.




Multivariate Analysis of Variance


Book Description

Bray's monograph considers the multivariate form of analysis of variance (MANOVA). It is a technique which can be used in such different academic disciplines as psychology, sociology, biology, and education.




Applied Multivariate Statistical Concepts


Book Description

More comprehensive than other texts, this new book covers the classic and cutting edge multivariate techniques used in today’s research. Ideal for courses on multivariate statistics/analysis/design, advanced statistics or quantitative techniques taught in psychology, education, sociology, and business, the book also appeals to researchers with no training in multivariate methods. Through clear writing and engaging pedagogy and examples using real data, Hahs-Vaughn walks students through the most used methods to learn why and how to apply each technique. A conceptual approach with a higher than usual text-to-formula ratio helps reader’s master key concepts so they can implement and interpret results generated by today’s sophisticated software. Annotated screenshots from SPSS and other packages are integrated throughout. Designed for course flexibility, after the first 4 chapters, instructors can use chapters in any sequence or combination to fit the needs of their students. Each chapter includes a ‘mathematical snapshot’ that highlights the technical components of each procedure, so only the most crucial equations are included. Highlights include: -Outlines, key concepts, and vignettes related to key concepts preview what’s to come in each chapter -Examples using real data from education, psychology, and other social sciences illustrate key concepts -Extensive coverage of assumptions including tables, the effects of their violation, and how to test for each technique -Conceptual, computational, and interpretative problems mirror the real-world problems students encounter in their studies and careers -A focus on data screening and power analysis with attention on the special needs of each particular method -Instructions for using SPSS via screenshots and annotated output along with HLM, Mplus, LISREL, and G*Power where appropriate, to demonstrate how to interpret results -Templates for writing research questions and APA-style write-ups of results which serve as models -Propensity score analysis chapter that demonstrates the use of this increasingly popular technique -A review of matrix algebra for those who want an introduction (prerequisites include an introduction to factorial ANOVA, ANCOVA, and simple linear regression, but knowledge of matrix algebra is not assumed) -www.routledge.com/9780415842365 provides the text’s datasets preformatted for use in SPSS and other statistical packages for readers, as well as answers to all chapter problems, Power Points, and test items for instructors







Analysis of Multiple Dependent Variables


Book Description

Multivariate procedures allow social workers and other human services researchers to analyze complex, multidimensional social problems and interventions in ways that minimize oversimplification. This pocket guide provides a concise, practical, and economical introduction to four procedures for the analysis of multiple dependent variables: multivariate analysis of variance (MANOVA), multivariate analysis of covariance (MANCOVA), multivariate multiple regression (MMR), and structural equation modeling (SEM). Each procedure will be presented in a way that allows readers to compare and contrast them in terms of (1) appropriate research context; (2) required statistical assumptions, including levels of measurement of variables to be modeled; (3) analytical steps; (4) sample size; and (5) strengths and weaknesses. This invaluable guide facilitates course extensibility in scope and depth by allowing instructors to supplement course content with rigorous statistical procedures. Detailed annotated examples using Stata, SPSS (PASW), SAS, and Amos, together with additional resources, discussion of key terms, and a companion website, make this an unintimidating guide for producers and consumers of social work research knowledge.




Studies on Economic Development and Growth in Selected African Countries


Book Description

This book is a collection of studies on economic development and growth in selected African countries. It consists of an introduction/summary and 15 inter-related empirical studies grouped into 5 research areas: women’s empowerment and demand for healthcare; the impact of institutions, aid, inflation and FDI on economic growth; capital structure and bank-loan growth effects; trade, mineral exports and exchange rate; and growth, productivity and efficiency in various industries. While it provides a comprehensive picture of the state of economic development and growth in most parts of the continent, the main focus is on economic development and growth in Ethiopia and Rwanda – two countries undergoing rapid economic and social development.




Effective Investments on Capital Markets


Book Description

This proceedings volume presents current research and innovative solutions into capital markets, particularly in Poland. Featuring contributions presented at the 10th Capital Market Effective Investments (CMEI 2018) conference held in Międzyzdroje, Poland, this book explores the future of capital markets in Poland as well as comparing it with the capital markets of other developed regions around the world. Divided into four parts, the enclosed papers provide a background into the theoretical foundations of capital market investments, explores different approaches—both classical and contemporary—to investment decision making, analyzes the behaviors of investors using experimental economics and behavioral finance, and explores practical issues related to financial market investments, including real case studies. In addition, each part of the book begins with an introductory chapter written by thematic editors that provides an outline of the subject area and a summary of the papers presented.




Exploring the Mechanics of Chronic Inflation and Hyperinflation


Book Description

This book presents a theoretical framework to explain chronic inflation and hyperinflation. The roots of these two phenomenon are a fiscal monetary regime in which money issues finance the public deficit. Chronic inflation is modeled by using both the old and the new Keynesian model, with a different policy rule. Instead of using the Taylor rule, the central bank policy rule states that money is issued to finance the public deficit. The chronic inflation models take into account the fact that indexation mechanisms adjust prices and wages, yielding the inertial component of inflation. The dynamics of these models can be very unstable under parameter changes or shocks that hit the economy. The previous hyperinflation models surveyed in this book attempt to explain hyperinflation as a bubble phenomenon because they assume a constant real deficit financed by money. The mechanics of hyperinflation models in this book explains hyperinflation by a fiscal crisis, characterized by an increasing fiscal deficit. This fiscal crisis yields an intertemporal budget constraint that is not sustainable. The analysis of the pathology of hyperinflation uses the same tools employed to understand the pathologies of public debt and external debt crises. The hyperinflation model allows a taxonomy of hyperinflations, namely bubble, weak and strong, that can be tested with the inflation tax revenue curve.