Teach Yourself Statistics / Edition 2

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Overview

Bet the odds on Teach Yourself

Teach Yourself Statistics introduces you to the

key concepts and principles of statistics. It will help you understand statistics as they occur in your everyday life.

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Product Details

  • ISBN-13: 9780658000843
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 1/28/2003
  • Series: Teach Yourself Series
  • Edition description: 2ND
  • Edition number: 2
  • Pages: 288
  • Product dimensions: 5.10 (w) x 7.83 (h) x 0.81 (d)

Meet the Author

Alan Graham has lectured in mathematics education at the Open University for over 30 years. His particular interest is statistics and he has written a number of books and OU course units in this field.

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Table of Contents

Foreword xii
1 Introducing Statistics 1
Some good reasons to learn about statistics 1
What sort of statistical questions can be asked? 2
Can you summarize the data? 2
Is there a significant difference between these two sets of results? 3
Is there a close relationship between the two things under consideration? 3
How are statistical questions investigated? 4
Choosing and using your calculator 6
2 Some basic maths 8
Algebra 8
Why letters? 8
Algebraic logic 10
Graphs 15
Notation 21
(Capital) Sigma 21
X bar 22
Summary 23
Comments on exercises 23
3 Graphing data 28
Bar charts 28
Pie charts 34
Pictograms 36
Histograms 36
Stemplots 39
Scattergraphs 42
Time graphs 44
Summary 44
Comments on exercises 45
4 Choosing a suitable graph 47
Types of data 47
Discrete and continuous data 47
Single and paired data 50
Types of statistical judgement 52
Summarizing 52
Comparing 53
Inter-relating 55
Getting the right graph 56
Bar charts and pie charts 56
Stemplots and histograms 60
Summary 62
Comments on exercises 63
5 Summarizing data 65
Introducing averages - finding a middle value 65
Calculating and choosing averages 68
Mode 68
A simple mean (X) 70
A weighted mean (X) 71
Median (Md) 74
Spread 76
5-figure summary 77
Boxplot 79
Range 81
Inter-quartile range (dq) 81
Mean deviation 83
Variance ([sigma][superscript 2]) and Standard deviation ([sigma]) 84
Summary 87
Comments on exercises 88
6 Lies and statistics 89
Misleading graphs 89
Data set A 90
Data set B 93
Data set C 97
Confusing percentages 99
Inappropriate averages 104
Summary 108
Comments on exercises 108
7 Choosing a sample 109
The sampling frame 110
Random sampling 112
Generating random numbers 115
Using random numbers to select a sample 116
Register of Electors 117
Sampling variation 121
Systematic sampling 121
Human error and sampling error 124
Summary 129
8 Collecting information 130
Secondary source data 131
Social Trends 131
Data accuracy 133
Primary source data 135
Experimental design 135
Questionnaire design 138
Summary 142
Comments on exercises 142
9 Reading tables of data 144
Spreadsheets 145
What is a spreadsheet? 145
Why bother using a spreadsheet? 146
Using a spreadsheet 146
What else will a spreadsheet do? 150
Turning the tables 151
Reading the small print 158
Summary 160
Comments on exercises 160
10 Regression: describing relationships between things 164
Paired data 164
The 'best-fit' line 167
Making predictions 172
Summary 178
Calculating the regression coefficients using the formula 179
Comments on exercises 181
11 Correlation: measuring the strength of a relationship 187
Scatter 187
Product-moment correlation coefficient 191
Rank correlation 197
Cause and effect 202
Summary 207
12 Chance and probability 208
Measuring probability 208
Odds 208
Statistical probability 210
Myths and misconceptions about probability 213
Mutually exclusive outcomes and adding probabilities 215
Independence and multiplying probabilities 218
Summary 226
Comments on exercises 226
13 Probability models 228
Compared to what? 228
The uniform distribution 229
The Normal distribution 233
Calculating probabilities from the Normal curve 238
The binomial distribution 242
The binomial expansion 247
Linking the binomial distribution and the binomial expansion 248
Summary 252
Comments on exercises 252
14 Deciding on differences 254
Picturing differences 255
Contexts for investigating differences 260
Some basic terminology 261
What is a test of significance? 266
Stage 1 Set up the hypothesis 266
Stage 2 Calculate the test statistic, S 268
Stage 3 Look up the critical value 268
Stage 4 Is S [less than or equal] C? 269
The z test 269
The binomial test 275
Summary 280
Comments on exercises 281
Appendix 286
Choosing the right statistical technique 286
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