| Chapter 1 | Introduction | |
| 1.1 | What is Statistics? | 1 |
| 1.2 | Variables | 2 |
| 1.3 | Functions | 4 |
| Chapter 2 | Frequency Distributions | |
| 2.1 | Data Description: Graphs | 7 |
| 2.2 | Class Intervals and Class Limits | 12 |
| 2.3 | Frequency Histograms and Relative Frequency Histograms | 16 |
| 2.4 | Cumulative Frequency Distributions | 17 |
| 2.5 | Types of Frequency Curves | 25 |
| Chapter 3 | Numerical Methods of Describing Data | |
| 3.1 | Introduction | 29 |
| 3.2 | Notation and Definitions of Means | 30 |
| 3.3 | Measures of Central Tendency | 43 |
| Quiz: Introduction - Numerical Methods of Describing Data | 53 |
| Chapter 4 | Measures of Variability | |
| 4.1 | Range and Percentiles | 58 |
| 4.2 | Measures of Dispersion | 61 |
| 4.3 | Simplified Methods For Computing the Standard Deviation and Variance | 66 |
| 4.4 | Coding Methods | 77 |
| Chapter 5 | Moments and Parameters of Distributions | |
| 5.1 | Moments | 86 |
| 5.2 | Coefficients of Skewness: Kurtosis | 92 |
| Chapter 6 | Probability Theory: Basic Definitions and Theorems | |
| 6.1 | Classical Definition of Probability | 97 |
| 6.2 | Relative Frequency: Large Numbers | 100 |
| 6.3 | Independent and Dependent Events: Conditional Probability | 101 |
| 6.4 | The Calculus of Probability | 110 |
| 6.5 | Probability Distributions | 115 |
| 6.6 | Combinational Analysis | 123 |
| 6.7 | Set Theory and Probability | 132 |
| Quiz: Measures of Variability-Probability Theory | 135 |
| Chapter 7 | Distributions | |
| 7.1 | The Binomial Distribution | 140 |
| 7.2 | The Multinomial Distribution | 144 |
| 7.3 | The Normal Distribution | 146 |
| 7.4 | The Poisson Distribution | 152 |
| Quiz: Distributions | 155 |
| Chapter 8 | Sampling Theory | |
| 8.1 | Sampling | 158 |
| 8.2 | Sampling Distributions | 161 |
| 8.3 | The Central Limit Theorem | 161 |
| 8.4 | Sampling Distribution of Proportions | 167 |
| 8.5 | Sampling Distributions of Sums and Differences | 169 |
| 8.6 | Standard Errors | 174 |
| Chapter 9 | Statistical Inference: Large Samples | |
| 9.1 | Estimation of Parameters | 175 |
| 9.2 | Point Estimation of [mu] | 177 |
| 9.3 | Interval Estimation of [mu] | 180 |
| 9.4 | Test of Hypothesis | 185 |
| Quiz: Sampling Theory-Statistical Inference | 191 |
| Chapter 10 | Statistical Inference: Small Samples | |
| 10.1 | Small Samples | 195 |
| 10.2 | Student's t Distribution | 196 |
| 10.3 | Tests of Hypotheses and Signficance | 201 |
| 10.4 | The Chi-Square Distribution | 207 |
| 10.5 | Control Charts | 210 |
| Chapter 11 | Mathematical Models Relating Independent and Dependent Variables | |
| 11.1 | Relationships Between Variables | 212 |
| 11.2 | Probabilistic Models | 215 |
| 11.3 | The Method of Least Squares | 216 |
| Chapter 12 | General Linear Model Inferences: Correlation Theory | |
| 12.1 | Introduction | 223 |
| 12.2 | Single Parameter | 223 |
| 12.3 | Correlation | 228 |
| 12.4 | Computational Formulas | 238 |
| Quiz: Statistical Inference - General Linear Model Inferences: Correlation Theory | 254 |
| Chapter 13 | Experimental Design | |
| 13.1 | Design of an Experiment | 260 |
| 13.2 | Completely Randomized Design | 270 |
| Chapter 14 | Count Data: The Chi-Square Test | |
| 14.1 | Count Data | 276 |
| 14.2 | Definition of X[superscript 2] | 278 |
| 14.3 | Contingency Tables | 286 |
| 14.4 | Yates' Correction Factor: Some Helpful Formulas | 297 |
| Chapter 15 | Time Series | |
| 15.1 | Time Series | 303 |
| 15.2 | Relatives and Indices | 303 |
| 15.3 | Analysis of Time Series | 308 |
| 15.4 | Moving Averages | 310 |
| Quiz: Experimental Design - Time Series | 313 |
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