Thirty years have elapsed since the original edition of this book was written—years of political tensions and upheaval ^nd of enormous progress in technical development. This last has been reflected in changes in some of the examples cited—from an automobile with two-wheel brakes in the 1920’s to the orbit of an earth satellite in the late 1950’s, and from methods for using hand calculators and card tabulators to those for electronic computers. Despite this technical progress, the basic elements of correlation analysis continue unchanged. The major emphasis, however, has shifted from correlation to regression, and the wide range of uses of the method in varied fields has led to many specialized applications or modifications. This is especially true in econometrics. Here the long controversy over mutually intercorrelated variables has finally produced an effective simultaneous- equation method for dealing with situations where single-equation solutions are inadequate; but apparently such situations are relatively infrequent.
Author(s): Ezekiel M., Fox K.A.
Publisher: Wiley
Year: 1963
Language: English
Pages: 562
City: New York
Tags: Математика;Теория вероятностей и математическая статистика;Математическая статистика;
Ezekiel M.,Fox K.A. Methods of correlation and regression analysis, linear and curvilinear(Wiley,3rd ed.,1963)(ASIN B003I62S6C)(600dpi)(562p) 3......Page 3
Copyright 4......Page 4
Preface to Third Edition v 5......Page 5
Preface to First Edition ix 8......Page 8
Contents xiii 11......Page 11
Chapter 1 Measuring the variability of a statistical series 1 14......Page 14
2 Judging the reliability of statistical results 14......Page 27
3 The relation between two variables, and the idea of function 32......Page 45
4 Determining the way one variable changes when another changes: (1) by the use of averages 44......Page 57
Chapter 5 Determining the way one variable changes when another changes: (2) according to the straight-line function 55......Page 68
6 Determining the way one variable changes when another changes: (3) for curvilinear functions 69......Page 82
7 Measuring accuracy of estimate and degree of correlation 118......Page 131
8 Practical methods for working out two-variable correlation and regression problems 134......Page 147
9 Three measures of correlation and regression—the meaning and use for each 147......Page 160
Chapter 10 Determining multiple linear regressions: (1) by successive elimination 151......Page 164
11 Determining multiple regressions: (2) by fitting a linear regression equation 170......Page 183
12 Measuring accuracy of estimate and degree of correlation for linear multiple regressions 188......Page 201
13 Practical methods for working out multivariable correlation and regression problems 199......Page 212
Chapter 14 Determining multiple curvilinear regressions by algebraic and graphic methods 204......Page 217
15 Measuring accuracy of estimate and degree of correlation for curvilinear multiple regressions 249......Page 262
16 Short-cut graphic methods of determining net regression lines and curves 254......Page 267
Chapter 17 The sampling significance of correlation and regression measures 279......Page 292
18 Influence of selection of sample and accuracy of observation on correlation and regression results 306......Page 319
19 Estimating the reliability of an individual forecast 318......Page 331
20 The use of error formulas with time series 325......Page 338
Chapter 21 Measuring the relation between one variable and two or more others operating jointly\t348......Page 361
22 Measuring the way a dependent variable changes with changes in a qualitative independent variable 378......Page 391
23 Cross-classification and the analysis of variance 388......Page 401
24 Fitting systems of two or more simultaneous equations 413......Page 426
Chapter 25 Types of problems to which correlation and regression analysis have been applied 434 ......Page 447
26 Steps in research work, and the place of statistical analysis 468......Page 481
Appendix 1 Glossary and important equations 479......Page 492
2 Methods of computation 489......Page 502
3 Technical notes 531......Page 544
Author Index 537......Page 550
Subject Index 543......Page 556
cover......Page 1
