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Data Analysis with IBM SPSS Statistics

You're reading from   Data Analysis with IBM SPSS Statistics Implementing data modeling, descriptive statistics and ANOVA

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Product type Paperback
Published in Sep 2017
Publisher Packt
ISBN-13 9781787283817
Length 446 pages
Edition 1st Edition
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Authors (2):
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Ken Stehlik-Barry Ken Stehlik-Barry
Author Profile Icon Ken Stehlik-Barry
Ken Stehlik-Barry
Anthony Babinec Anthony Babinec
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Anthony Babinec
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Toc

Table of Contents (17) Chapters Close

Preface 1. Installing and Configuring SPSS 2. Accessing and Organizing Data FREE CHAPTER 3. Statistics for Individual Data Elements 4. Dealing with Missing Data and Outliers 5. Visually Exploring the Data 6. Sampling, Subsetting, and Weighting 7. Creating New Data Elements 8. Adding and Matching Files 9. Aggregating and Restructuring Data 10. Crosstabulation Patterns for Categorical Data 11. Comparing Means and ANOVA 12. Correlations 13. Linear Regression 14. Principal Components and Factor Analysis 15. Clustering 16. Discriminant Analysis

Assumptions of the classical linear regression model

Multiple regression fits a linear model by relating the predictors to the target variable. The model has the following form:

Y = B0 + B1 * X1 + B2 * X2 + … + Bp * Xp + e

Here, Y is the target variable, the Xs are the predictors, and the e term is the random disturbance. The Bs are capitalized to indicate that the are population parameters. Estimates of the Bs are found from the sample such that the sum of squares of the sample errors is minimized. The term ordinary least squares regression captures this feature.

The assumptions of the classical linear regression model are as follows:

  • The target variable can be calculated as a linear function of a specific set of predictor variables plus a disturbance term. The coefficients in this linear function are constant.
  • The expected value of the disturbance term is zero.
  • The disturbance...
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