# Statistics 611 Lecture Notes

### Fall 2012

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Statistics 611 Home Page

- Premlinary Linear Algebra with answers
- Orthogonal Complements
with answers
- Miscellaneous Results, Solving Equations, and Generalized Inverses with answers
- Idempotency and Projection Matrices with answers
- Introduction to the General Linear Model
with answers
- Least Squares Estimation of the Expectation of the Response Vector with answers
- The Orthogonal Projection Matrix onto C(X) and the Normal Equations with answers
- Equivalent Models and Reparameterization with answers
- Gram-Schmidt Orthonormalization
with answers
- Estimable Functions and Their Least Squares Estimators with answers
- Estimable Functions and Their Least Squares Estimators in Reparameterized Models with answers
- Constraints on Solutions to the Normal Equations
with answers
- Constraints on the Parameter Vector
with answers
- The Gauss-Markov Model
with answers
- The Trace of a Matrix
with answers
- Variance Estimation
with answers
- Underfitting and Overfitting
with answers
- The Aitken Model
with answers
- When is the OLSE the BLUE?
with answers
- Best Linear Unbiased Estimation in Constrained Models
- Determinants
with answers
- Eigenvalues, Eigenvectors, and Matrix Decompositions
with answers
- The Multivariate Normal Distribution
with answers
- The Chi Square Distribution
with answers
- The F and t Distributions
with answers
- Distributions of Quadratic Forms
with answers
- Cochran's Theorem and Analysis of Variance
- General Linear Test of a General Linear Hypothesis with answers
- Likelihood Ratio Test of a General Linear Hypothesis with answers
- Reparameterization in Testing
with answers
- Confidence Intervals and Confidence Regions for Estimable Functions
- The Bonferroni Confidence Rectangle
- The Cauchy-Schwarz Inequality and Generalizations
with answers
- Scheffe's Method
with answers
- Tukey's Method
with answers
- Multiple Testing
with answers
- Linear Mixed-Effects Models
- ML and REML Variance Component Estimation
with answers
- ANOVA Variance Component Estimation
with answers
- Best Linear Unbiased Prediction (BLUP)

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