Overview

Revised edition March 2024. This book teaches students and researchers the math and application (statistical tests) of Statistics using simple arithmetic and only five simple formulas. All parametric statistical tests, from the most simple to very complex, are covered with examples. Few introductory Statistics textbooks cover this wide range. Few Statistics books cover statistical design. This is necessary in experimental sciences. This book explains with words the logic of applied statistics and provides many step-by-step examples. The author of this book is a retired professor of Medicine with a life-long teaching and research experience. TABLE OF CONTENTS (425 pages) PART 1 THEORY CONCEPTS STATISTICAL TESTS What is Statistics Descriptive Statistics Inferential Statistics Non-parametric Statistics Parametric Statistics The median The mode The mean Variance The standard normal curve The normal-distribution table - how to use Standard error of the mean The t-test The t-distribution table Paired t-test 2 x 2 factorial Analysis of Variance ANOVA 2 x 3 factorial Analysis of Variance ANOVA ANOVA mixed split plot complex design ANOVA repeated measures List of summary tables of ANOVA designs Formulas for df in ANOVA PART 2 LECTURE AND LAB Lecture 1 Numbers Quantities Measurement Lecture 2 Goddess Normal Curve Lecture 3 Variance and standard deviation Lecture 4 The uses of the normal distribution Lecture 5 The t-test Lecture 6 Analysis of variance One-way ANOVA Lecture 7 Analysis of Variance Factorial Designs Two-Way ANOVA Lecture 8 Repeated measures, correlated groups Lecture 9 Complex, mixed, split-plot designs PART 3.STATISTICAL DESIGN Identify the design-case 1 Identify the design-case 2 Identify the design-case 3 Identify the design-case 4 Identify the design-case 5 Identify the design-case 6 Identify the design-case 7 Identify the design-case 8 Identify the design-case 9 Identify the design-case 10 Identify the design-case 11 Identify the design-case 12 Identify the design-case 13 PART 4. PRACTICE EXERCISES The mean: practice exercises and solutions Variance: practice exercises and solution The problem The solution The sum of squares: practice exercises and solutions The problem The solution Standard deviation practice exercises and solutions The problem The solution ANOVA mixed split plot- practice example Statistical design practice question 2 APPENDIX Five simple formulas for all parametric statistics Statistical Tables The Normal Distribution Table The t-distribution Table The F Distribution Table Key to the design questions of Part 3 FAQ Frequently Asked Questions The standard normal curve formula Epilogue

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