| |
| |
Preface | |
| |
| |
| |
Why the Social Researcher Uses Statistics | |
| |
| |
The Nature of Social Research | |
| |
| |
Why Test Hypotheses? | |
| |
| |
The Stages of Social Research | |
| |
| |
Using Series of Numbers to Do Social Research | |
| |
| |
Functions of Statistics | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Problems | |
| |
| |
Looking at the Larger Picture: A Student Survey | |
| |
| |
| |
Description | |
| |
| |
| |
Organizing the Data | |
| |
| |
Frequency Distributions of Nominal Data | |
| |
| |
Comparing Distributions | |
| |
| |
Proportions and Percentages | |
| |
| |
Ratios and Rates | |
| |
| |
Simple Frequency Distributions of Ordinal and Interval Data | |
| |
| |
Grouped Frequency Distributions of Interval Data | |
| |
| |
Cumulative Distributions | |
| |
| |
Percentile Ranks | |
| |
| |
Dealing with Decimal Data | |
| |
| |
Flexible Class Intervals | |
| |
| |
Cross-Tabulations | |
| |
| |
Graphic Presentations | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Problems | |
| |
| |
| |
Measures of Central Tendency | |
| |
| |
The Mode | |
| |
| |
The Median | |
| |
| |
The Mean | |
| |
| |
Taking One Step at a Time | |
| |
| |
Comparing the Mode, Median, and Mean | |
| |
| |
Obtaining the Mode, Median, and Mean from a Simple Frequency Distribution | |
| |
| |
Obtaining the Mode, Median, and Mean from a Grouped Frequency Distribution | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Mode, Median, and Mean for Raw Scores | |
| |
| |
Problems | |
| |
| |
| |
Measures of Variability | |
| |
| |
The Range | |
| |
| |
The Mean Deviation | |
| |
| |
The Variance and Standard Deviation | |
| |
| |
The Raw-Score Formula for Variance and Standard Deviation | |
| |
| |
The Meaning of the Standard Deviation | |
| |
| |
Comparing Measures of Variability | |
| |
| |
Obtaining the Variance and Standard Deviation from a Simple Frequency Distribution | |
| |
| |
Obtaining the Variance and Standard Deviation from a Grouped Frequency Distribution | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Variance and Standard DEviation for Raw Scores | |
| |
| |
Problems | |
| |
| |
Looking at the Larger Picture: Describing Data | |
| |
| |
| |
From Description to Decision Making | |
| |
| |
| |
Probability and the Normal Curve | |
| |
| |
Rules of Probability | |
| |
| |
Probability Distributions | |
| |
| |
The Normal Curve as a Probability Distribution | |
| |
| |
Characteristics of the Normal Curve | |
| |
| |
The Model and the Reality of the Normal Curve | |
| |
| |
The Area under the Normal Curve | |
| |
| |
Standard Scores and the Normal Curve | |
| |
| |
Finding Probability under the Normal Curve | |
| |
| |
Obtaining Percentile Ranks from the Normal Curve | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Probability under the Normal Curve | |
| |
| |
Step-by-Step Study Guide: Percentile Ranks from the Normal Curve | |
| |
| |
Problems | |
| |
| |
| |
Samples and Populations | |
| |
| |
Sampling Methods | |
| |
| |
Sampling Error | |
| |
| |
Sampling Distribution of Means | |
| |
| |
Standard Error of the Mean | |
| |
| |
Confidence Intervals | |
| |
| |
The t Distribution | |
| |
| |
Estimating Proportions | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Confidence Interval for the Mean Using z | |
| |
| |
Step-by-Step Study Guide: Confidence Interval for the Mean Using t | |
| |
| |
Step-by-Step Study Guide: Confidence Interval for the Proportion | |
| |
| |
Problems | |
| |
| |
Looking at the Larger Picture: Generalizing from Samples to Populations | |
| |
| |
| |
Decision Making | |
| |
| |
| |
Testing Differences between Means | |
| |
| |
The Null Hypothesis: No Difference between Means | |
| |
| |
The Research Hypothesis: A Difference between Means | |
| |
| |
Sampling Distribution of Differences between Means | |
| |
| |
Testing Hypotheses with the Distribution of Differences between Means | |
| |
| |
Levels of Significance | |
| |
| |
Standard Error of the Difference between Means | |
| |
| |
Testing the Difference between Means | |
| |
| |
Comparing the Same Sample Measured Twice | |
| |
| |
Two Sample Tests of Proportions | |
| |
| |
One-Tailed Tests | |
| |
| |
Requirements for Testing the Difference between Means | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Means for Independent Groups | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Means for the Same Sample Measured Twice | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Proportions | |
| |
| |
Problems | |
| |
| |
| |
Analysis of Variance | |
| |
| |
The Logic of Analysis of Variance | |
| |
| |
The Sum of Squares | |
| |
| |
Mean Square | |
| |
| |
The F Ratio | |
| |
| |
A Multiple Comparison of Means | |
| |
| |
Requirements for Using the F Ratio | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Means for Several Independent Groups Using Analysis of Variance | |
| |
| |
Problems | |
| |
| |
| |
Nonparametric Tests of Significance | |
| |
| |
One-Way Chi-Square Test | |
| |
| |
Two-Way Chi-Square Test | |
| |
| |
The Median Test | |
| |
| |
The Mann-Whitney U Test | |
| |
| |
Kruskal-Wallis One-Way Analysis of Variance by Ranks | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Groups for Nominal-Level Data Using Chi-Square | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Groups for Ordinal-Level Data Using the Mann-Whitney U Test | |
| |
| |
Step-by-Step Study Guide: Test of Differences between Several Groups for Ordinal-Level Data Using the Kruskal-Wallis Test | |
| |
| |
Problems | |
| |
| |
Looking at the Larger Picture: Testing for Differences | |
| |
| |
| |
From Decision Making to Association | |
| |
| |
| |
Correlation | |
| |
| |
Strength of Correlation | |
| |
| |
Direction of Correlation | |
| |
| |
Curvilinear Correlation | |
| |
| |
The Correlation Coefficient | |
| |
| |
Pearson's Correlation Coefficient | |
| |
| |
The Importance of Scatter Plots | |
| |
| |
Partial Correlation | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Testing the Strength of Association between Interval-Level Variables Using Pearson's Correlation | |
| |
| |
Problems | |
| |
| |
| |
Regression Analysis | |
| |
| |
The Regression Model | |
| |
| |
Interpreting the Regression Line | |
| |
| |
Prediction Errors | |
| |
| |
Regression and Pearson's Correlation | |
| |
| |
Regression and Analysis of Variance | |
| |
| |
Multiple Regression | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-by-Step Study Guide: Testing the Effect of an Independent Variable on a Dependent Variable Using Regression Analysis | |
| |
| |
Problems | |
| |
| |
| |
Nonparametric Measures of Correlation | |
| |
| |
Spearman's Rank-Order Correlation Coefficient | |
| |
| |
Goodman's and Kruskal's Gamma | |
| |
| |
Correlation Coefficient for Nominal Data Arranged in a 2 [times] 2 Table | |
| |
| |
Correlation Coefficients for Nominal Data in Larger than 2 [times] 2 Tables | |
| |
| |
Lambda | |
| |
| |
Elaboration | |
| |
| |
Summary | |
| |
| |
Terms to Remember | |
| |
| |
Step-By-Step Study Guide: Testing the Strength of Association between Ordinal-Level Variables Using Spearman's Rank-Order Correlation | |
| |
| |
Step-By-Step Study Guide: Testing the Strength of Association between Cross-Tabulated, Ordinal-Level Variables Using Goodman's and Kruskal's Gamma | |
| |
| |
Problems | |
| |
| |
| |
Applying Statistical Procedures to Research Problems | |
| |
| |
Research Situations | |
| |
| |
Research Solutions | |
| |
| |
Appendixes | |
| |
| |
| |
Social Science Data on the Internet | |
| |
| |
| |
A Review of Some Fundamentals of Mathematics | |
| |
| |
| |
Tables | |
| |
| |
| |
List of Formulas | |
| |
| |
Glossary | |
| |
| |
Answers to Selected Problems | |
| |
| |
Index | |