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