Applied Regression Analysis

Detalles Bibliográficos
Autor principal: Draper, Norman R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 1998.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 ß0 and ß1
  • Standard Deviation of the Slope B1
  • Confidence Interval for ß1
  • Confidence Interval for ß1
  • Test for Ho: ß1 = ß10 Versus H1: ß1 ≠ ß10
  • Reject or Do Not Reject
  • Confidence Interval Represents a Set of Tests
  • Standard Deviation of the Intercept
  • Confidence Interval for ß0
  • 1.5. F-test for Significance of Regression
  • P-values for F-statistics
  • F = T2
  • P-values for T-statistics
  • 1.6. the Correlation Between X and Y
  • Correlation and Regression
  • Rxy and R Connections
  • Testing a Single Correlation
  • 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

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