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Multiple regression as a general data-analytic system.

Published on Jan 1, 1968in Psychological Bulletin16.405
· DOI :10.1037/h0026714
Jacob Cohen65
Estimated H-index: 65
(York University)
Abstract
  • References (10)
  • Citations (925)
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References10
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Basic Prerequisite Knowledge. Fitting a Straight Line by Least Squares. Checking the Straight Line Fit. Fitting Straight Lines: Special Topics. Regression in Matrix Terms: Straight Line Case. The General Regression Situation. Extra Sums of Squares and Tests for Several Parameters Being Zero. Serial Correlation in the Residuals and the Durbin--Watson Test. More of Checking Fitted Models. Multiple Regression: Special Topics. Bias in Regression Estimates, and Expected Values of Mean Squares and Sum...
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I Multivariate Method and Theory Construction.- 1 Psychological Theory and Scientific Method.- 1. The Role of Methodology in Science.- 2. Design of This Book.- 3. Some Major Historical Springs of Methodological Tradition.- 4. What Is and What Might Be in Present-Day Research Method Concepts.- 5. The Nature of the Inductive-Hypothetico-Deductive (IHD) Method in Science.- 6. Summary.- References.- 2 The Principles of Experimental Design and Analysis in Relation to Theory Building.- 1. The Six Basi...
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1 Introduction.- 1 Case of two means.- 2 Error rates.- 2.1 Probability of a nonzero family error rate.- 2.2 Expected family error rate.- 2.3 Allocation of error.- 3 Basic techniques.- 3.1 Repeated normal statistics.- 3.2 Maximum modulus (Tukey).- 3.3 Bonferroni normal statistics.- 3.4 ?2 projections (Scheffe).- 3.5 Allocation.- 3.6 Multiple modulus tests (Duncan).- 3.7 Least significant difference test (Fisher).- 4 p-mean significance levels.- 5 Families.- 2 Normal Univariate Techniques.- 1 Stud...
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#1George W. SnedecorH-Index: 1
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ABSTRACT This paper is concerned with the solution of typical analysis of variance problems using general purpose multiple regression computer programs. Specific models, restrictions on the parameters for hypothesis testing, and computational aspects are discussed. It is argued that this approach has many pedagogical advantages over traditional procedures.
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CHAPTER 1: Introduction to Design CHAPTER 2: Principles of Estimation and Inference: Means and Variance CHAPTER 3: Design and Analysis of Single-Factor Experiments: Completely Randomized Design CHAPTER 4: Single-Factor Experiments Having Repeated Measures on the Same Element CHAPTER 5: Design and Analysis of Factorial Experiments: Completely-Randomized Design CHAPTER 6: Factorial Experiments: Computational Procedures and Numerical Example CHAPTER 7: Multifactor Experiments Having Repeated Measur...
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Abstract The use of dummy variables requires the imposition of additional constraints on the parameters of regression equations if determinate estimates are to be obtained. Among the possible constraints the most useful are (a) to set the constant term of the equation to zero, or (b) to omit one of the dummy variables from the equation. In working with a single system of classes either constraint can be used, and results from the application of one are readily derived from those obtained from th...
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