What is included with this book?
Professor Watson is Professor of Reproductive Cyrobiology at the Royal Veterinary College, London, UK.
Preface | p. ix |
Preface to First Edition | p. xi |
The whys and wherefores of statistics | p. 1 |
Learning objectives | p. 1 |
Aims of the book | p. 1 |
What is statistics? | p. 2 |
Statistics in veterinary and animal science | p. 3 |
Evidence-based veterinary medicine | p. 4 |
Types of variable | p. 4 |
Variations in measurements | p. 5 |
Terms relating to measurement quality | p. 8 |
Populations and samples | p. 8 |
Types of statistical procedures | p. 9 |
Conclusion | p. 10 |
Exercises | p. 10 |
Descriptive statistics | p. 12 |
Learning objectives | p. 12 |
Summarizing data | p. 12 |
Empirical frequency distributions | p. 12 |
Tables | p. 14 |
Diagrams | p. 14 |
Numerical measures | p. 19 |
The reference range | p. 25 |
Exercises | p. 25 |
Probability and probability distributions | p. 28 |
Learning objectives | p. 28 |
Probability | p. 28 |
Probability distributions | p. 30 |
Discrete probability distributions | p. 30 |
Continuous probability distributions | p. 33 |
Relationships between distributions | p. 42 |
Exercises | p. 43 |
Sampling and sampling distributions | p. 45 |
Learning objectives | p. 45 |
The distinction between the sample and the population | p. 45 |
Statistical inference | p. 45 |
The sampling distribution of the mean | p. 47 |
The confidence interval for a mean | p. 49 |
The sampling distribution of the proportion | p. 51 |
The confidence interval for a proportion | p. 52 |
Bootstrapping and jackknifing | p. 52 |
Exercises | p. 53 |
Experimental design and clinical trials | p. 54 |
Learning objectives | p. 54 |
Types of study | p. 54 |
Introducing clinical trials | p. 58 |
The importance of design in the clinical trial | p. 58 |
The control group | p. 59 |
Assignment of animals to the treatment groups | p. 60 |
The avoidance of bias in the assessment procedure | p. 63 |
Increasing the precision of the estimates | p. 64 |
Further considerations | p. 66 |
Exercises | p. 71 |
An introduction to hypothesis testing | p. 73 |
Learning objectives | p. 73 |
Introduction | p. 73 |
Basic concepts of hypothesis testing | p. 73 |
Type I and Type II errors | p. 77 |
The distinction between statistical and biological significance | p. 78 |
The confidence interval approach to hypothesis testing | p. 79 |
Collecting our thoughts on confidence intervals | p. 80 |
Equivalence and non-inferiority studies | p. 80 |
Exercises | p. 81 |
Hypothesis tests 1 - the t-test: comparing one or two means | p. 83 |
Learning objectives | p. 83 |
Requirements for hypothesis tests for comparing means | p. 83 |
One-sample t-test | p. 85 |
Two-sample t-test | p. 86 |
The paired t-test | p. 90 |
Exercises | p. 94 |
Hypothesis tests 2 - the F-test: comparing two variances or more than two means | p. 95 |
Learning objectives | p. 95 |
Introduction | p. 95 |
The F-test for the equality of two variances | p. 95 |
Levene's test for the equality of two or more variances | p. 97 |
The analysis of variance (ANOVA) for the equality of means | p. 97 |
One-way ANOVA | p. 100 |
Exercises | p. 104 |
Hypothesis tests 3 - the Chisquared test: comparing proportions | p. 107 |
Learning objectives | p. 107 |
Introduction | p. 107 |
Testing a hypothesis about a single proportion | p. 107 |
Comparing two proportions - independent groups | p. 108 |
Testing associations in an r x c contingency table | p. 112 |
Comparing two proportions - paired observations | p. 115 |
The Chi-squared goodness-of-fit test | p. 117 |
Exercises | p. 118 |
Linear correlation and regression | p. 121 |
Learning objectives | p. 121 |
Introducing linear correlation and regression | p. 121 |
Linear correlation | p. 122 |
Simple (univariable) linear regression | p. 127 |
Regression to the mean | p. 137 |
Exercises | p. 137 |
Further regression analyses | p. 141 |
Learning objectives | p. 141 |
Introduction | p. 141 |
Multiple linear regression | p. 141 |
Multiple logistic regression - a binary response variable | p. 148 |
Poisson regression | p. 151 |
Regression methods for clustered data | p. 153 |
Exercises | p. 156 |
Non-parametric statistical methods | p. 158 |
Learning objectives | p. 158 |
Parametric and non-parametric tests | p. 158 |
The sign test | p. 160 |
Wilcoxon signed rank test | p. 162 |
Wilcoxon rank sum test | p. 164 |
Non-parametric analyses of variance | p. 166 |
Spearman's rank correlation coefficient | p. 168 |
Exercises | p. 170 |
Further aspects of design and analysis | p. 174 |
Learning objectives | p. 174 |
Transformations | p. 174 |
Sample size | p. 177 |
Sequential and interim analysis | p. 180 |
Meta-analysis | p. 181 |
Methods of sampling | p. 184 |
Exercises | p. 188 |
Additional techniques | p. 191 |
Learning objectives | p. 191 |
Diagnostic tests | p. 191 |
Bayesian analysis | p. 195 |
Measuring agreement | p. 196 |
Measurements at successive points in time | p. 202 |
Survival analysis | p. 204 |
Multivariate analysis | p. 208 |
Exercises | p. 209 |
Evaluation and reporting - evidence-based veterinary medicine and the CONSORT Statement | p. 212 |
Learning objectives | p. 212 |
Introduction | p. 212 |
What is EBVM? | p. 213 |
Why has EBVM developed? | p. 213 |
What is involved in practising EBVM? | p. 214 |
Integrating EBVM into clinical practice | p. 218 |
Guidelines for reporting results | p. 218 |
Example of CONSORT and EBVM | p. 220 |
Conclusion | p. 221 |
Exercises | p. 221 |
Solutions to exercises | p. 224 |
References | p. 241 |
Appendices | |
Statistical tables | p. 247 |
Tables of confidence intervals | p. 263 |
Glossary of notation | p. 265 |
Glossary of terms | p. 268 |
Flow charts for selection of appropriate tests | p. 286 |
Index | p. 289 |
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