StatisticsPreface. 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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actually analysis of variance assumption average Bernoulli process binomial distribution calculated cell chi-square class interval coefficient column comparisons confidence interval correlation decision rule degrees of freedom discrete random variable drawn at random elementary events equal exactly example Exercise expected experimenter F test Factor Figure frequency distribution given H₁ independent individual inference interaction effects joint events limits linear mathematical measurement median methods N₁ normal distribution null hypothesis number of successes observations occur outcome pairs parameter particular population distribution population mean predicted probability distribution problem proportion random sample ratio region of rejection regression rejection region relative frequency represented sample mean sample result sample space sample variance sampling distribution Section shown significant simple experiment situation SS total standard deviation standard error statistical subjects sum of squares Suppose symbol Table theoretical treatment trials true Type I error weights