Statistical Methods in MATLAB

Day 1 of 2

Importing and Organizing Data

Objective:Bring data into MATLAB and organize it for analysis. Perform common tasks, such as merging data and dealing with missing data.

• Importing data
• Data types
• Tables of data
• Merging data
• Categorical data
• Missing data

Exploring Data

Objective:Perform basic statistical investigation of a data set, including visualization and calculation of summary statistics.

• Plotting
• Central tendency
• Spread
• Shape
• Correlations
• Grouped data

Distributions

Objective:Investigate different probability distributions and fit distributions to a data set.

• Probability distributions
• 分布参数
• Comparing and fitting distributions
• Nonparametric fitting

Hypothesis Tests

Objective:Determine how likely an assertion about a data set is. Apply hypothesis tests for common uses, such as comparing two distributions and determining confidence intervals for a sample mean.

• Hypothesis tests
• Tests for normal distributions
• Tests for nonnormal distributions

Day 2 of 2

Analysis of Variance

Objective:Compare the sample means of multiple groups and find statistically significant differences between groups.

• Multiple comparisons
• One-way ANOVA
• N-way ANOVA
• MANOVA
• Nonnormal ANOVA
• Categorical correlations

Regression

Objective:Perform predictive modeling by fitting linear and nonlinear models to a data set. Explore techniques for improving model quality.

• Linear regression models
• Fitting linear models to data
• Evaluating the fit
• Adjusting the model
• Logistic and generalized linear regression
• Nonlinear regression

Working with Multiple Dimensions

Objective:Simplify high-dimensional data sets by reducing the dimensionality.

• Feature transformation
• Feature selection

Random Numbers and Simulation

Objective:Use random numbers to evaluate the uncertainty or sensitivity of a model, or perform simulations. Generate random numbers from various distributions, and manage the MATLAB random number generation algorithms.

• Bootstrapping and simulation
• Generating numbers from standard distributions
• Generating numbers from arbitrary distributions
• Controlling the random number stream