It includes numerous social work practice examples, and discusses types of statistical analyses that are most likely to be encountered by social work practitioners and researchers, but assumes no prior experience with statistics. This edition has been reorganized and updated, with new content added on statistical power, effect size, and measures of association. New topics have been incorporated, including logistic regression and other methods of analysis not in prior editions. New figures and new content on sampling distributions and standard scores (z-scores) have also been added. For anyone interested in research methods and social work.
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Table of Contents
Each chapter concludes with “Concluding Thoughts” and “Study Questions.”
1. Introduction to Statistical Analysis.
Uses of Statistical Analysis.
General Methodological Terms.
Levels of Measurement.
Other Measurement Classifications.
Levels of Measurement and Analysis of Data.
Categories of Statistical Analyses.
2. Frequency Distributions and Graphs.
Grouped Frequency Distributions.
Using Frequency Distributions to Analyze Data.
Misrepresentation of Data.
Graphical Presentation of Data.
A Common Mistake in Displaying Data.
3. Central Tendency and Variability.
4. Normal Distributions.
Converting Raw Scores to z Scores and Percentiles.
Deriving Raw Scores from Percentiles.
5. Introduction to Hypothesis Testing.
Refuting Sampling Error.
Testing the Null Hypothesis.
Errors in Drawing Conclusions about Relationships.
Statistically Significant Relationships and Meaningful Findings.
6. Sampling Distributions and Hypothesis Testing.
Sample Size and Sampling Error.
Sampling Distributions and Inference.
Sampling Distribution of Means.
Estimating Parameters from Statistics.
7. Selecting a Statistical Test.
The Importance of Selecting the Correct Test.
Factors to Consider When Selecting a StatisticalTest.
Parametric and Nonparametric Tests.
Multivariate Statistical Tests.
General Guidelines for Test Selection.
Getting Help with Data Analyses.
Uses of Correlation.
Interpreting Linear Correlations.
Computation and Presentation
of Pearson's r.
Using Pearson's r for Inference.
Using Correlation with Three or More Variables.
Other Multivariate Tests That Use Correlation.
9. Regression Analyses.
What Is Prediction?
What Is Simple Linear Regression?
Computation of the Regression Equation.
More About the Regression Line.
Using Regression Analyses in Social Work Practice.
Regression with Three or More Variables.
Other Types of Regression Analysis.
The Chi-Square Test of Association.
Using Chi-Square in Social Work Practice.
Chi-Square with Three or More Variables.
Special Applications of the Chi-Square Formula.
11. t Tests and Analysis of Variance.
The Use of t Tests.
The One-Sample t Test.
The Dependent t Test.
The Independent t Test.
Simple Analysis of Variance (One-Way ANOVA).
Multiple Analysis of Variance.