1. Getting Started 1

1.1. The MATLAB Statistics Toolbox 1

1.2. Data in MATLAB 2

1.3. Simple descriptive methods 3

1.4. Numerical summaries of quantitative data 4

1.5. Graphical summaries of quantitative data 6

4.1. Available distributions and calculations 12

4.2. Computation of binomial probabilities 13

4.3. Computation of Poisson probabilities 15

4.4. Computation of normal probabilities 17

4.5. Computing percentage points for the normal distribution 19

5.1. Introduction 19

5.2. The uniform distribution 20

5.3. Other distributions 21

5.4. Simulation of normal and lognormal random variables 23

5.5. Further applications of simulation 25

6.1. One-sample t-test 28

6.2. Paired t-test 29

6.3. Two-sample t-test 29

6.4. The sign test 29

6.5. The Wilcoxon signed rank test 30

7.1. Simple linear regression: fitting lines to data 30

7.2. Fitting the simple linear regression model in MATLAB 32

8.1. The multiple linear regression model 39

8.2. Estimation of model parameters 39

8.3. Inference for model coefficients 42

8.4. Confidence intervals for the mean and prediction intervals 44

8.5. Assessing overall model adequacy 45

8.6. Stepwise approaches to model selection 48

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8.7. Residuals and influence in multiple linear regression 51

9.1. One way ANOVA 53