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I. Gusti Ngurah Agung - Applications of Quantile Regression of Experimental and Cross Section Data using EViews: Applications on Experimental and Cross Section Data using EViews

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QUANTILE REGRESSION

A thorough presentation of Quantile Regression designed to help readers obtain richer information from data analyses

The conditional least-square or mean-regression (MR) analysis is the quantitative research method used to model and analyze the relationships between a dependent variable and one or more independent variables, where each equation estimation of a regression can give only a single regression function or fitted values variable. As an advanced mean regression analysis, each estimation equation of the mean-regression can be used directly to estimate the conditional quantile regression (QR), which can quickly present the statistical results of a set nine QR()s for (tau)s from 0.1 up to 0.9 to predict detail distribution of the response or criterion variable. QR is an important analytical tool in many disciplines such as statistics, econometrics, ecology, healthcare, and engineering.

Quantile Regression: Applications on Experimental and Cross Section Data Using EViews provides examples of statistical results of various QR analyses based on experimental and cross section data of a variety of regression models. The author covers the applications of one-way, two-way, and n-way ANOVA quantile regressions, QRs with multi numerical predictors, heterogeneous QRs, and latent variables QRs, amongst others. Throughout the text, readers learn how to develop the best possible quantile regressions and how to conduct more advanced analysis using methods such as the quantile process, the Wald test, the redundant variables test, residual analysis, the stability test, and the omitted variables test. This rigorous volume:

  • Describes how QR can provide a more detailed picture of the relationships between independent variables and the quantiles of the criterion variable, by using the least-square regression
  • Presents the applications of the test for any quantile of any numerical response or criterion variable
  • Explores relationship of QR with heterogeneity: how an independent variable affects a dependent variable
  • Offers expert guidance on forecasting and how to draw the best conclusions from the results obtained
  • Provides a step-by-step estimation method and guide to enable readers to conduct QR analysis using their own data sets
  • Includes a detailed comparison of conditional QR and conditional mean regression

Quantile Regression: Applications on Experimental and Cross Section Data Using EViews is a highly useful resource for students and lecturers in statistics, data analysis, econometrics, engineering, ecology, and healthcare, particularly those specializing in regression and quantitative data analysis.

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Table of Contents List of Tables Chapter 2 Chapter 3 Chapter 4 Chapter - photo 1
Table of Contents
List of Tables
  1. Chapter 2
  2. Chapter 3
  3. Chapter 4
  4. Chapter 5
  5. Chapter 6
  6. Chapter 7
  7. Chapter 8
  8. Chapter 9
  9. Chapter 10
  10. Appendix B
List of Illustrations
  1. Chapter 1
  2. Chapter 2
  3. Chapter 3
  4. Chapter 4
  5. Chapter 5
  6. Chapter 6
  7. Chapter 7
  8. Chapter 8
  9. Chapter 9
  10. Chapter 10
  11. Appendix A
  12. Appendix B
  13. Appendix C
Guide
Pages
Quantile Regression
Applications on Experimental and Cross Section Data Using EViews

I Gusti Ngurah Agung

The Ary Suta Center

Jakarta, Indonesia

This edition first published 2021 2021 John Wiley Sons Ltd All rights - photo 2

This edition first published 2021
2021 John Wiley & Sons Ltd

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of I Gusti Ngurah Agung to be identified as the author of this work has been asserted in accordance with law.

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While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress CataloginginPublication Data

Names: Agung, I Gusti Ngurah, author.

Title: Quantile regression : applications on experimental and cross section data using EViews / I Gusti Ngurah Agung.

Description: First edition. | Hoboken : Wiley, [2021] | Includes bibliographical references.

Identifiers: LCCN 2020025365 (print) | LCCN 2020025366 (ebook) | ISBN 9781119715177 (cloth) | ISBN 9781119715160 (adobe pdf) | ISBN 9781119715184 (epub)

Subjects: LCSH: Quantile regression. | Mathematical statistics. | EViews (Computer file)

Classification: LCC QA278.2 .A32 2021 (print) | LCC QA278.2 (ebook) | DDC 519.5/36dc23

LC record available at https://lccn.loc.gov/2020025365

LC ebook record available at https://lccn.loc.gov/2020025366

Cover Design: Wiley

Cover Images: Kertlis/iStock/Getty Images

Dedicated to my wife Anak Agung Alit Mas, our children Martiningsih, Ratnaningsing, and Darma Putra, as well as all our generation

Preface

This book presents various Quantile Regressions ( QR ), based on the crosssection and experimental data. It has been found that the equation specification or the estimation equation of the LSRegression or MeanRegression ( MR ) can be applied directly for the QuantileRegression. Hence, this book can be considered as an extension or a modification of all MeanRegressions presented in all books, and papers, such as Agung ().

In addition, compare to the MeanRegression (MR), the QuantileRegression is a robust regression having critical advantages over the MR, mainly for the robustness to outliers, no normal distribution assumption, and it can present more complete distribution of the objective, criterion or dependent random variable, using the linear programing estimation method (Davino et al..

The models presented in this book in fact are the extension or modification of all meanregression presented in my second book: Cross Section and Experimental Data Analysis Using EViews (Agung 2011a). For this reason, it is recommended the readers to use also the models in the book to conduct the quantileregression analysis, using their own data sets.

This book contains ten chapters.

presents the applications of the test for medians of any response or criterion variable Yi, by series/group of categorical variables, numerical categorical or the ranks of a numerical variable.

presents the applications of OneWay and TwoWay ANOVA QuantileRegressions. In addition, the application of the object Quantile Process having three alternative options are introduced. As the modification of the parametric DID ( DifferenceInDifferences ) of the means of any variable Yi by two factors or categorical variables, this chapter presents the DID of the Quantile() of any variable Yi, by two categorical variables, starting with two dichotomous variables or 22 factorial QR. It has been well known that the value of a DID is representing the twoway interaction effect of the corresponding two factors, indicating the effect of a factor on the criterion variable Yi depends on the other factor. Then a special 23 factorial QR to demonstrate how to compute its DID.

presents NWay ANOVA QuantileRegressions. Specific for N = 3, alternative equation specifications are presented, starting with a 222 factorial ANOVA QR without an intercept, to show how compute conditional twoway interactions factors, and a threeway interaction factor, which should be tested using the Wald Test. As an extension the 222 factorial ANOVA QR without an intercept, a 223 factorial ANOVA QR without an intercepts to show how to compute the 3way interaction factor. Then selected IJK factorial ANOVA QRs with an intercepts are presented using alternative equation specifications, to show the advantages in using each equation specification.

presents quantile regressions based on bivariate numerical variable (Xi,Yi), starting with the simplest linear quantileregression. Then it is extended quadratic QR and alternative polynomial QRs, and alternative logarithmic QRs with lower and upper bounds.

. Three alternative path diagrams based on the triple variables are presented, as the guide to defined equation specifications of alternative QRs. An additive QR is presented as the simplest QR, which is extended to semilogarithmic and translog QRs, with the examples presented based on an experimental data in Data_Faad.wf1. Then they are extended to interaction QRs. As additional illustrative examples, the statistical results of alternative QRs are presented based on MLogit.wf1, which I consider as a special data in EViews work file. In addition special Quantile Slope Equality Test also is presented as an illustration.

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