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Statistics book table of contents

statistics textbook

Statistics book table of contents

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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

PART 1 THEORY CONCEPTS STATISTICAL TESTS 5

What is Statistics 7
Descriptive Statistics 7
Inferential Statistics 7
Non-parametric Statistics 8
Parametric Statistics 8
The median 10
The mode 11
The mode is the most frequent value in a range of scores. 11
The mean 12
Variance 14
The standard normal curve 23
The normal-distribution table - how to use 28
Standard error of the mean 29
The t-test 31
The t-distribution table 35
Paired t-test 38
The F-distribution table - how to use 44
2 x 2 factorial Analysis of Variance ANOVA 46
2 x 3 factorial Analysis of Variance ANOVA 54
ANOVA mixed split plot 63
ANOVA repeated measures 71
List of summary tables of ANOVA designs 76
Formulas for df in ANOVA 79

PART 2 LECTURE AND LAB 83
Lecture 1 Numbers Quantities Measurement 88
Lecture 2 98
Goddess Normal Curve 98
Lecture 3 112
Variance and standard 112
deviation 112
Lecture 4 122
The uses of the normal 122
distribution 122
Lecture 5 151
The t-test 151
Lecture 6 196
Analysis of variance 196
One-way ANOVA 196
Lecture 7 223
Analysis of Variance 223
Factorial Designs 223
Two-Way ANOVA 223
Lecture 8 261
Repeated measures, 261
correlated groups 261
Lecture 9 271
Complex, mixed, split-plot designs 271

PART 3.STATISTICAL DESIGN 286
Identify the design-case 1 287
Identify the design-case 2 288
Identify the design-case 3 289
Identify the design-case 4 290
Identify the design-case 5 291
Identify the design-case 6 292
Identify the design-case 7 293
Identify the design-case 8 294
Identify the design-case 9 295
Identify the design-case 10 296
Identify the design-case 11 297
Identify the design-case 12 298
Identify the design-case 13 299

PART 4.PRACTICE EXERCISES 300
The mean: practice exercises and solutions 301
Variance: practice exercises and solution 302
The problem 302
The solution 304
The sum of squares: practice exercises and solutions 305
The problem 305
The solution 306
Standard deviation practice exercises and solutions 307
The problem 307
The solution 309
ANOVA mixed split plot- practice example 310
Statistical design practice question 2 315

APPENDIX 317
Five simple formulas for all parametric statistics 318
Statistical Tables 320
The Normal Distribution Table 321
The t-distribution Table 323
The F Distribution Table 328
FAQ Frequently Asked Questions 332
The standard normal curve formula 339
Epilogue 343

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