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An outstanding introduction to the fundamentals of regression analysis-updated and expanded The methods of regression analysis are the most widely used statistical tools for discovering the relationships among variables. This classic text, with its emphasis on clear, thorough presentation of concepts and applications, offers a complete, easily accessible introduction to the fundamentals of regression analysis. Assuming only a basic knowledge of elementary statistics, Applied Regression Analysis, Third Edition focuses on the fitting and checking of both linear and nonlinear regression models, u
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monografia Rebiun25210458 https://catalogo.rebiun.org/rebiun/record/Rebiun25210458 m o d | cr#-n--------- 140902t19981998njua ob 001 0 eng d 1-118-62568-4 1-118-62559-5 1-118-62562-5 0-585-32194-9 MiAaPQ eng rda pn MiAaPQ MiAaPQ eng Draper, Norman Richard author Applied regression analysis Norman R. Draper, Harry Smith 3rd ed Hoboken, New Jersey John Wiley & Sons, Inc. 1998 Hoboken, New Jersey Hoboken, New Jersey John Wiley & Sons, Inc. 1998 1 online resource ( xvii, 706 p.) 1 online resource ( xvii, 706 p.) Wiley Series in Probability and Statistics Description based upon print version of record Includes bibliographical references and indexes Cover ; Title Page ; Copyright ; Contents ; Preface to the Third Edition ; About the Software ; Chapter 0: Basic Prerequisite Knowledge ; 0.1. Distributions : Normal, t, and F; Normal Distribution ; Gamma Function ; t-distribution ; F-distribution ; 0.2. Confidence Intervals (or Bands) and T-tests ; 0.3. Elements of Matrix Algebra ; Matrix, Vector, Scalar ; Equality ; Sum and Difference ; Transpose ; Symmetry ; Multiplication ; Special Matrices and Vectors ; Orthogonality ; Inverse Matrix ; Obtaining an Inverse ; Determinants ; Common Factors Chapter 1: Fitting a Straight Line by Least Squares 1.0. Introduction: the Need for Statistical Analysis ; 1.1. Straight Line Relationship Between Two Variables ; 1.2. Linear Regression: Fitting a Straight Line by Least Squares ; Meaning of Linear Model ; Least Squares Estimation ; Pocket-calculator Form ; Calculations for the Steam Data ; Centering the Data ; 1.3. The Analysis of Variance ; Sums of Squares ; Degrees of Freedom (df) ; Analysis of Variance Table ; Steam Data Calculations ; Skeleton Analysis of Variance Ta Ble ; R2 Statistic ; 1.4. Confidence Intervals and Tests for 0 and 1 1.8. Historical Remarks Appendix 1 A. Steam Plant Data ; Exercises ; Chapter 2: Checking the Straight Line Fit ; 2.1. Lack of Fit and Pure Error ; General Discussion of Variance and Bias ; How Big Is (Sv(B2? ; Genuine Repeats Are Needed ; Calculation of Pure Error and Lack of Fit Mean Squares ; Special Formula When Nj = 2 ; Split of the Residual ss ; Effect of Repeat Runs on R2 ; Looking at the Data and Fitted Model ; Pure Error in the Many Predictors Case ; Adding (or Dropping) X''s Can Affect Maximum R2 ; Approximate Repeats ; Generic Pure Error Situations Illustrated Via Straight Line Fits 2.2. Testing Homogeneity of Pure Error Bartlett''s Test ; Bartlett''s Test Modified for Kurtosis ; Levene''s Test Using Means ; Levene''s Test Using Medians ; Some Cautionary Remarks ; A Second Example ; 2.3. Examining Residuals: the Basic Plots ; How Should the Residuals Behave? ; 2.4. Non-normality Checks on Residuals ; Normal Plot of Residuals ; 2.5. Checks for Time Effects, Nonconstant Variance, Need for Transformation, and Curvature ; Three Questions and Answers ; Comment ; 2.6. Other Residuals Plots ; Dependencies Between Residuals ; 2.7. Durbin-watson Test 2.8. Reference Books for Analysis of Residuals An outstanding introduction to the fundamentals of regression analysis-updated and expanded The methods of regression analysis are the most widely used statistical tools for discovering the relationships among variables. This classic text, with its emphasis on clear, thorough presentation of concepts and applications, offers a complete, easily accessible introduction to the fundamentals of regression analysis. Assuming only a basic knowledge of elementary statistics, Applied Regression Analysis, Third Edition focuses on the fitting and checking of both linear and nonlinear regression models, u English Smith, Harry 1923-2012) editor 1-322-09478-0 0-471-17082-8 Wiley series in probability and statistics