After doing these courses, I feel confident creating professional visualizations and dashboards
Shoebur RahmanProcurement Specialist, Giz Bangladesh
课程介绍
When working with data that contains many variables, we are often interested in studying the relationship between these variables using multivariate statistics. In this course, you'll learn ways to analyze these datasets. You will also learn about common multivariate probability distributions, including the multivariate normal, the multivariate-t, and some multivariate skew distributions. You will then be introduced to techniques for representing high dimensional data in fewer dimensions, including principal component analysis (PCA) and multidimensional scaling (MDS).
先修要求
课程大纲
课程大纲
1
Reading and plotting multivariate data
In this introduction to multivariate data, you will learn how to read and summarize it. You will learn how to summarize multivariate data using descriptive statistics, such as the mean vector, variance-covariance, and correlation matrices. You'll then explore plotting techniques to provide insights into multivariate data.
- Reading multivariate data50 经验值
- Reading multivariate data using read.table100 经验值
- Specifying datatypes for columns100 经验值
- Mean vector and variance-covariance matrix50 经验值
- Calculating the mean vector100 经验值
- Calculating the variance-covariance matrix100 经验值
- Calculating the correlation matrix100 经验值
- Plotting multivariate data50 经验值
- Pairs plot using base graphics and lattice100 经验值
- 3D plotting techniques100 经验值
2
Multivariate Normal Distribution
This chapter will introduce you to the most important and widely used multivariate probability distribution, the multivariate normal. You will learn how to generate random samples from a multivariate normal distribution and how to calculate and plot the densities and probabilities under this distribution. You will also learn how to test if a dataset follows multivariate normality.
3
Other Multivariate Distributions
This chapter introduces a host of probability distributions to model non-normal data. In particular, you will be introduced to multivariate t-distributions, which can model heavier tails and are a generalization of the univariate Student's t-distribution. You will be introduced to various skew distributions, which are specifically designed to model data that are right or left skewed.
4
Principal Component Analysis and Multidimensional Scaling
In the final chapter, you will be introduced to techniques for analyzing high dimensional data, including principal component analysis (PCA) and multidimensional scaling (MDS). You will also learn to implement these techniques by analyzing data.
R
Multivariate Probability Distributions in R
课程完成
