Abstract

Contents: Preface. Part I: Introduction and Statistical Theory. Statistical Theory. Generating Random Numbers. Frequency Distributions. Stem and Leaf Plots. Population Distributions. Measures of Central Tendency. Measures of Dispersion. Sample Size Effects. Tchebysheff Inequality Theorem. Normal Bell-Shaped Curve. Part II: Probability and Probability Distributions. Probability. Joint Probability. Addition Law of Probability. Multiplication Law of Probability. Conditional Probability. Combinations and Permutations. Part III: Monte Carlo and Statistical Distributions. Binomial Distribution. Monte Carlo Simulation. Normal Distribution. t Distribution. Chi-square Distribution. F Distribution. Part IV: Sampling and Inference. Sampling Distributions. Central Limit Theorem. Confidence Intervals. Hypothesis Testing. Type I Error. Type II Error. Part V: Hypothesis Testing in Research. z Test Statistic for Proportions. Chi-square Test Statistic. t Test for Mean Differences. Analysis of Variance. Correlation. Linear Regression. Part VI: Replicability of Findings. Cross Validation. Jackknife. Bootstrap. Meta-Analysis. Significance Testing vs. Practical Importance. Appendix.

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