An Introduction to Statistics | |
Features of the Book | |
Tips for Doing Well in Statistics: How to Succeed in Statistics by Really Trying | |
A Note About Notation and Rounding | |
Hypotheses | |
Variables | |
Scales of Measurement | |
Summary | |
Key Terms | |
Problems | |
References | |
Frequency Distributions | |
Ranked Distributions | |
Frequency Distributions | |
Grouped Frequency Distributions | |
Apparent Limits and Real Limits: What You See Versus What is Meant | |
Midpoint: The Center of the Class Interval | |
Visual Summary: Creating a Group Frequency Distribution | |
Cumulative Frequency | |
Relative Frequency and Cumulative Relative Frequency | |
Cumulative Percent | |
On the Internet: Creating a Grouped Frequency Distribution | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Graphs | |
Basics in Constructing a Graph | |
Frequency Histogram | |
Frequency Polygon | |
Relative Frequency Polygon | |
Cumulative Frequency Polygon | |
Cumulative Relative Frequency Polygon | |
Cumulative Percent Polygon | |
Stem and Leaf Diagrams | |
Changing the Shape of a Graph | |
Summary | |
Key Terms | |
Problems | |
Measures of Central Tendency | |
The Mean | |
The Median | |
The Mode | |
Mean, Median, or Mode: A Question of Skew | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Reference | |
Measures of Variability | |
The Range | |
Mean Deviation | |
The Variance: The Mean of the Squared Deviations | |
Standard Deviation: The Square Root of the Variance | |
Computational Formulas | |
Calculating Variability from Grouped Frequency Distributions | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Reference | |
Scaled Scores and Standard Scores: How to Change Apples into Oranges | |
Scales Scores | |
Adding or Subtracting a Constant: No change in Variability | |
Multiplying or Dividing by a Constant: A Concurrent Change in Mean and Standard Deviation | |
Standard Scores (z Scores) | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
The Normal Curve | |
Characteristics of the Normal Curve | |
Finding Proportions and Percentages | |
Finding Percentiles | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Correlation | |
The Nature of Correlation | |
Types of Correlation: How Are Variables Related? | |
Degree of Correlation: How Strongly Are Variables Related? | |
The Correlation Coefficient | |
The Covariance | |
Computing the Correlation Coefficient | |
Computational Formulas for the Covariance and Correlation Coefficient | |
The Significance of the Correlation Coefficient | |
Interpreting the Correlation Coefficient: What do the Numbers Mean? | |
Using Table R | |
The Coefficient of Determination | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
References | |
Regression | |
Making Predictions via Linear Regression | |
The Regression Line: Faster Predictions | |
The Standard Error of the EstimateSummary | |
Key Terms | |
Formulas | |
Problems | |
Probability Theory and Sampling | |
Probability Theory | |
Sampling | |
The Standard Error of the Estimate | |
The Central Limit Theorem | |
The z Test | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Experimental Design | |
Developing a Hypothesis | |
Identifying Variables | |
Factors in Experimental Design | |
Important Aspects of Experimental Design | |
Statistical Significance | |
Power | |
Summary | |
Key Terms | |
Problems | |
References | |
t TESTS | |
z Tests (A Review) | |
t Tests | |
Single-Sample t Tests | |
t Tests between Two Independent Sample Means | |
t Tests for Correlated Samples | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
One-Way Analysis of Variance | |
Analysis of Variance: One Test is Better Than Many | |
Hypothesis Testing and Analysis of Variance | |
Conducting an Analysis of Variance | |
The F Test | |
Computational Formula for F | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Reference | |
Two-Way Analysis of Variance | |
Main Effects | |
Interaction | |
Computation of Sums of Squares for Two-Way Analysis of Variance | |
Computation of Degrees of Freedom for Two-Way Analysis of Variance | |
Computation of the Mean Squares for Two-Way Analysis of Variance | |
Computation of the F Ratios for Two-Way Analysis of Variance | |
Significance of the Main Effects | |
Significance of the Interaction | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
Reference | |
Chi-Square and Other Nonparametric Statistics | |
Chi-Square | |
The Mann-Whitney U Test | |
The Wilcoxen T Test | |
The Kruskal-Wallis Test | |
Summary | |
Key Terms | |
Formulas | |
Problems | |
References | |
Tables | |
Solutions to Odd-Numbered Problems | |
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