Background-Welcome
Introduction
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Welcome to the class
Course textbook
Grading
Background-Relevant matrix results
In this module
Matrix derivatives
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Coding example
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Background-Centering and means
Centering by matrix multiplication
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Coding example
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Background-Variance
Variance via matrix multiplication
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Coding example
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One and two parameter regression-Single parameter basics
Before you begin
Regression through the origin
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Centering first
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Coding example
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One and two parameter regression-Linear regression
Before you begin
Connection with linear regression
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Coding example
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Fitted values and residuals
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Linear regression-Least squares for linear regression
Before you begin
Least squares
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Coding example
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Linear regression-Prediction
Prediction
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Coding example
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Linear regression-Residuals
Residuals
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Coding example
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Linear regression-Generalizations
Generalizations
Generalizations
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Generalizations example
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General least squares-Least squares
Before you begin
Least squares
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Coding example
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Second derivation of least squares
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General least squares-Projections
Projections
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General least squares-Least squares, third derivation
Third derivation of least squares
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Coding example
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Least squares examples-Examples
Basic examples of design matrices and fits
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Group effects
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Change of parameterization
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ANCOVA
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Bases and residuals-Bases
Bases, introduction
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Bases 2, Fourier
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Bases 3, SVDs
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Bases, coding example
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Bases and residuals-Residuals
Introduction to residuals
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Partitioning variability
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