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Index
About This E-Book
Title Page
Copyright Page
Contents at a Glance
Contents
About the Author
Acknowledgments
We Want to Hear from You!
Reader Services
Introduction
1. Measuring Variation: How Values Differ
How Variation Is Measured
The Standard Deviation
The Standard Error of the Mean
2. Correlation
Measuring Correlation
Calculating Correlation
Correlation and Causation
Restriction of Range
3. Simple Regression
Predicting with Correlation and Standard Scores
Predicting with Regression Coefficient and Intercept
Shared Variance
The TREND() Function
Partial and Semipartial Correlations
4. Using the LINEST() Function
Array-Entering LINEST()
Comparing LINEST() to SLOPE() and INTERCEPT()
The Standard Error of a Regression Coefficient
The Squared Correlation, R2
The Standard Error of Estimate
Understanding LINEST()’s F-ratio
The General Linear Model, ANOVA, and Regression Analysis
Other Ancillary Statistics from LINEST()
5. Multiple Regression
A Composite Predictor Variable
Understanding the Trendline
Mapping LINEST()’s Results to the Worksheet
Building a Multiple Regression Analysis from the Ground Up
Using the Standard Error of the Regression Coefficient
Using the Models Comparison Approach to Evaluating Predictors
Estimating Shrinkage in R2
6. Assumptions and Cautions Regarding Regression Analysis
About Assumptions
The Straw Man
Coping with Nonlinear and Other Problem Distributions
The Assumption of Equal Spread
Unequal Variances and Sample Sizes
7. Using Regression to Test Differences Between Group Means
Dummy Coding
Effect Coding
Orthogonal Coding
Factorial Analysis
Statistical Power, Type I and Type II Errors
Coping with Unequal Cell Sizes
8 The Analysis of Covariance
Contrasting the Results
Structuring a Conventional ANCOVA
Structuring an ANCOVA Using Regression
Checking for a Common Regression Line
Testing the Adjusted Means: Planned Orthogonal Coding in ANCOVA
ANCOVA and Multiple Comparisons Using the Regression Approach
Multiple Comparisons via Planned Nonorthogonal Contrasts
Multiple Comparisons with Post Hoc Nonorthogonal Contrasts
Index
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