OTHER CONCEPTS COVERED IN THE ARTICLES xi
WHY THIS BOOK IS NEEDED xix
WHAT MAKES THIS BOOK UNIQUE? xxiii
HOW TO USE THIS BOOK xxv
ALPHA, 𝜶 1
ALPHA AND BETA ERRORS 9
ALPHA, p, CRITICAL VALUE, AND TEST STATISTIC –HOW THEY WORK TOGETHER 14
ALTERNATIVE HYPOTHESIS 22
ANALYSIS OF MEANS (ANOM) 27
ANOVA – PART 1: WHAT IT DOES 32
ANOVA – PART 2: HOW IT DOES IT 36
ANOVA – PART 3: 1-WAY (AKA SINGLE FACTOR) 42
ANOVA – PART 4: 2-WAY (AKA 2-FACTOR) 47
ANOVA vs. REGRESSION 54
BINOMIAL DISTRIBUTION 62
CHARTS/GRAPHS/PLOTS – WHICH TO USE WHEN 69
CHI-SQUARE – THE TEST STATISTIC AND ITS DISTRIBUTIONS 76
CHI-SQUARE TEST FOR GOODNESS OF FIT 82
CHI-SQUARE TEST FOR INDEPENDENCE 89
CHI-SQUARE TEST FOR THE VARIANCE 98
CONFIDENCE INTERVALS – PART 1: GENERAL CONCEPTS 101
CONFIDENCE INTERVALS – PART 2: SOME SPECIFICS 108
CONTROL CHARTS – PART 1: GENERAL CONCEPTS AND PRINCIPLES 113
CONTROL CHARTS – PART 2: WHICH TO USE WHEN 119
CORRELATION – PART 1 124
CORRELATION – PART 2 129
CRITICAL VALUE 135
DEGREES OF FREEDOM 141
DESIGN OF EXPERIMENTS (DOE) – PART 1 146
DESIGN OF EXPERIMENTS (DOE) – PART 2 151
DESIGN OF EXPERIMENTS (DOE) – PART 3 158
DISTRIBUTIONS – PART 1: WHAT THEY ARE 165
DISTRIBUTIONS – PART 2: HOW THEY ARE USED 171
DISTRIBUTIONS – PART 3: WHICH TO USE WHEN 177
ERRORS – TYPES, USES, AND INTERRELATIONSHIPS 178
EXPONENTIAL DISTRIBUTION 184
F 189
FAIL TO REJECT THE NULL HYPOTHESIS 195
HYPERGEOMETRIC DISTRIBUTION 200
HYPOTHESIS TESTING – PART 1: OVERVIEW 202
HYPOTHESIS TESTING – PART 2: HOW TO 208
INFERENTIAL STATISTICS 212
MARGIN OF ERROR 220
NONPARAMETRIC 223
NORMAL DISTRIBUTION 230
NULL HYPOTHESIS 235
p, p-VALUE 241
p, t, AND F: “>”OR “
ANDREW A. JAWLIK received his B.S. in Mathematics and his M.S. in Mathematics and Computer Science from the University of Michigan. He held jobs with IBM in marketing, sales, finance, and information technology, as well as a position as Process Executive. In these jobs, he learned how to communicate difficult technical concepts in easy - to - understand terms. He completed Lean Six Sigma Black Belt coursework at the IASSC - accredited Pyzdek Institute. In order to understand the confusing statistics involved, he wrote explanations in his own words and graphics. Using this material, he passed the certification exam with a perfect score. Those statistical explanations then became the starting point for this book.
Everyone needs to know a bit about the interpretation of statistical data Academic libraries catering for mathematicians and for postgraduate scientific researchers would find this book a useful quick reference tool. Martin Guha, Reference Reviews, Vol 31, No 3.
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