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Tables of Contents for Statistical Reasoning in Psychology and Education

Chapter/Section Title

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Introduction.

Preliminary Concepts.

Frequency Distributions, Percentiles, and Percentile Ranks.

Graphic Representation of Frequency Distributions.

Central Tendency.

Variability and Standard z-Scores.

Standard Scores and the Normal Curve.

Correlation.

Prediction.

Interpretive Aspects of Correlation and Regression.

Probability.

Random Sampling and Sampling Distributions.

Introduction to Statistical Inference: Testing Hypotheses About Single Means (z and t).

Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power.

Testing Hypotheses About the Difference Between Two Independent Groups.

Testing for a Difference between Two Dependent (Correlated) Groups.

Inference About Correlation Coefficients.

An Alternative to Hypothesis Testing: Confidence Intervals.

Chi-Square and Inference About Frequencies.

Testing for Differences Among Three or More Groups: One-Way Analysis of Variance (and Some Alternatives).

Factorial Analysis of Variance: the Two-Factor Design for Independent Groups.

Some (Almost) Assumption-Free Tests.

Epilogue: The Realm of Statistics.

Appendix A: Review of Basic Mathematics.

Appendix B: Summation Rules.

Appendix C: List of Symbols.

Appendix D: Answers to Problems.

Appendix E: Statistical Tables.

References.