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Introduction to Linear Models and Matrix Algebra

Data Analysis for Life Sciences,

Matrix Algebra underlies many of the current tools for experimental design and the analysis of high-dimensional data. In this introductory online course in data analysis, we will use matrix algebra to represent the linear models that commonly used to model differences between experimental units. We perform statistical inference on these differences. Throughout the course we will use the R programming language to perform matrix operations.

Given the diversity in educational background of our students we have divided the series into seven parts. You can take the entire series or individual courses that interest you. If you are a statistician you should consider skipping the first two or three courses, similarly, if you are biologists you should consider skipping some of the introductory biology lectures. Note that the statistics and programming aspects of the class ramp up in difficulty relatively quickly across the first three courses. You will need to know some basic stats for this course. By the third course will be teaching advanced statistical concepts such as hierarchical models and by the fourth advanced software engineering skills, such as parallel computing and reproducible research concepts.

These courses make up two Professional Certificates and are self-paced:

Data Analysis for Life Sciences:

PH525.1x: Statistics and R for the Life Sciences

PH525.2x: Introduction to Linear Models and Matrix Algebra

PH525.3x: Statistical Inference and Modeling for High-throughput Experiments

PH525.4x: High-Dimensional Data Analysis

Genomics Data Analysis:

PH525.5x: Introduction to Bioconductor

PH525.6x: Case Studies in Functional Genomics

PH525.7x: Advanced Bioconductor

This class was supported in part by NIH grant R25GM114818.

What you'll learn

  • Matrix algebra notation
  • Matrix algebra operations
  • Application of matrix algebra to data analysis
  • Linear models
  • Brief introduction to the QR decomposition

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Rating 4.5 based on 8 ratings
Length 4 weeks
Effort 4 weeks, 2–4 hours per week
Starts On Demand (Start anytime)
Cost $129
From Harvard University, HarvardX via edX
Instructors Rafael Irizarry, Michael Love
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Data Science Mathematics Science
Tags Computer Science Data Analysis & Statistics Math Biology & Life Sciences Science

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Rating 4.5 based on 8 ratings
Length 4 weeks
Effort 4 weeks, 2–4 hours per week
Starts On Demand (Start anytime)
Cost $129
From Harvard University, HarvardX via edX
Instructors Rafael Irizarry, Michael Love
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Data Science Mathematics Science
Tags Computer Science Data Analysis & Statistics Math Biology & Life Sciences Science

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