| PART I. INTRODUCTION |
| Chapter 1. INTRODUCTION |
| 1.1 Scope and arrangement of the book |
| 1.2 Problem solving |
| 1.3 The nature of geological data |
| 1.4 Sources of data for examples of analyses |
| 1.5 Models |
| PART II. UNIVARIATE STATISTICAL METHODS |
| Chapter 2. DISTRIBUTIONS |
| 2.1 Observations |
| 2.2 Empirical frequency distributions |
| 2.3 Histograms |
| 2.4 Theoretical frequency distributions |
| 2.5 Probability |
| Chapter 3. SAMPLING |
| 3.1 Populations and samples |
| 3.2 Target and sampled populations |
| 3.3 "Mean, variance, standard deviation, and coefficient of variation" |
| 3.4 Random samples |
| 3.5 Sampling distributions |
| 3.6 Distribution of the sample mean |
| 3.7 Distribution of the sample variance and the chi-square distribution |
| Chapter 4. INFERENCE |
| 4.1 Estimation of population parameters |
| 4.2 Point and interval estimates |
| 4.3 Student's t-distribution |
| 4.4 Confidence intervals for the population mean |
| 4.5 Example estimation of ore grade with confidence intervals |
| 4.6 Confidence intervals for the population variance |
| 4.7 Hypothesis tests |
| 4.8 Bayesian statistics |
| 4.9 Indications |
| Chapter 5. ANALYSIS OF VARIANCE |
| 5.1 Comparison of more than two means |
| 5.2 The F-distribution |
| 5.3 One-way analysis of variance |
| 5.4 Examples of one-way analysis of variance |
| 5.5 Analysis of variance of nested data |
| 5.6 An example of nested analysis of variance |
| 5.7 Randomized blocks |
| 5.8 Linear combinations |
| 5.9 Single degree of freedom |
| 5.10 Examples of analysis with single degree of freedom |
| 5.11 Linear models |
| 5.12 Multiple comparisons |
| 5.13 Relationships among basic statistical distributions |
| Chapter 6. DISTRIBUTIONS AND TRANSFORMATIONS |
| 6.1 Some discrete distributions |
| 6.2 The lognormal distribution |
| 6.3 Transformations |
| 6.4 Graphical representation of data |
| 6.5 Mixed-frequency distributions |
| PART III. SAMPLING AND VARIABILITY IN GEOLOGY |
| Chapter 7. GEOLOGICAL SAMPLING |
| 7.1 Introduction |
| 7.2 Geological factors that affect sampling |
| 7.3 Hand-specimen sampling of outcrops |
| 7.4 Drill sampling |
| 7.5 Channel and chip sampling |
| 7.6 Modal analysis |
| 7.7 Other sampling methods |
| 7.8 Range of geological variability |
| Chapter 8. VARIABILITY IN GEOLOGICAL |
| 8.1 Problems of geological variability |
| 8.2 Natural variability |
| 8.3 Sampling bias and variability |
| 8.4 Preparation bias and variability |
| 8.5 Analytical bias and variability |
| 8.6 Experimental designs |
| Index |