Statistics for college students and researchers: Third Edition

Michael M. Nikoletseas

Mar 2024 · MICHAEL NIKOLETSEAS

About this ebook

This book teaches students and researchers how to analyze their data (statistical tests) using simple arithmetic and only five simple formulas.All statistical tests, from the most simple to very complex) are included with examples.

The most important achievement of this book is to explain with words the logic of applied statistics, This is necessary in experimental sciences.

TABLE OF CONTENTS

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

The F-distribution table - how to use

2 x 2 factorial Analysis of Variance ANOVA

2 x 3 factorial Analysis of Variance ANOVA

ANOVA mixed split plot

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

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, discussion

FAQ Frequently Asked Questions

The standard normal curve formula

About the author

Dr. Michael Nikoletseas ia retired professor of Neuroscience. A lsit of his books and research articles may be seen at the catalogue of Oxford University.