William Hays Statistics

ISBN 13: 9780030744679

Statistics

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9780030744679: Statistics

Designed for advanced courses in psychology and educational psychology, this systematic introduction to statistics and experimental design adheres stringently to basic probablility theory and principles from mathematical statistics. The Fifth Edition, revised and updated, retains the reliable structure and scrupulous attention to accuracy that has made this text a classic in the field.

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Preface. Introduction. Elementary Probability Theory. Frequency and Probability Distributions. A Discrete Random Variable: The Binomial. Central Tendency and Variability. Sampling Distributions and Point Estimation. Normal Population and Sampling Distributions. Hypothesis Testing. Inferences About Population Means. The Chi-Square and F Distributions. The General Linear Model and the Analysis of Variance. Comparisons Among Means. Factorial Designs and Higher-Order Analysis of Variance. Analysis of Variance Models II and III: Random Effects and Mixed Models. Problems in Regression and Correlation. Partial and Multiple Regression. Further Topics in Regression. The Analysis of Covariance. Analyzing Qualitative Data: Chi-Square Tests. Terms You Should Know. Practice Exercises. Exercises. Appendix A: Rules of Summation. Appendix B: The Algebra of Expectations. Appendix C: Joint Random Variables and Linear Combinations. Appendix D: Some Principles and Applications of Matrix Algebra. Appendix E: Sets and Functions. Appendix F: Tables. Appendix G: Solutions to Selected Exercises References and Suggestions for Further Reading. Glossary of Symbols. Index.

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