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General Linear Models: Design of Experiments

statisticsmatt via YouTube

Syllabus

Design of Experiments: Models Introduction.
Design of Experiments: Projection Matrix onto c(X).
Design of Experiments: Projection Matrix onto c(X) Example.
Design of Experiments: Least Square Estimator of Beta.
Estimability (part 1/4): Necessary and Sufficient Conditions.
Estimability (part 2/4): Unique Unbiased Estimator.
Estimability (part 3/4): Gauss Markov Theorem.
Estimability (part 4/4): Generating Estimable Functions.
Design of Experiments: Estimating the Error Variance.
1-way fixed-effects ANOVA (part 1/10): Model Development.
1-way fixed-effects ANOVA (part 1/10): (Example) Model Development.
1-way fixed-effects ANOVA (part 2/10): Estimating Parameters.
1-way fixed-effects ANOVA (part 2/10): (Example) Estimating Parameters.
1-way fixed-effects ANOVA (part 3/10): Partitioning the Sum of Squares.
1-way fixed-effects ANOVA (part 3/10): (Example) Partitioning the Sum of Squares.
1-way fixed-effects ANOVA (part 4/10): Sum of Squares Derivations.
1-way fixed-effects ANOVA (part 4/10): (Example) Sum of Squares Derivations.
1-way fixed-effects ANOVA (part 5/10): F Test and C.I.'s.
1-way fixed-effects ANOVA (part 5/10): (Example) F Test and C.I.'s.
1-way fixed-effects ANOVA (part 6/10): Unbalanced Case.
1-way fixed-effects ANOVA (part 7/10): Contrasts.
1-way fixed-effects ANOVA (part 7/10): (Example) Contrasts.
1-way fixed-effects ANOVA (part 8/10): Contrasts with Normal Assumptions.
1-way fixed-effects ANOVA (part 8/10): (Example) Contrasts with Normal Assumptions.
1-way fixed-effects ANOVA (part 9/10): Orthogonal Contrasts.
1-way fixed-effects ANOVA (part 9/10): (Example) Orthogonal Contrasts.
1-way fixed-effects ANOVA (part 10/10): Partitioning SS(trt).
1-way fixed-effects ANOVA (part 10/10): (Example) Partitioning SS(trt).
1-way fixed-effects ANOVA (part 11/10): Residuals.
1-way fixed-effects ANOVA (part 11/10): (Example) Residuals.
1-way Random-Effects ANOVA(part 1/6): Model Development.
1-way Random-Effects ANOVA(part 2/6): Distributional Properties of SS.
1-way Random-Effects ANOVA(part 3/6): Another Proof for the Distribution for SS(trt).
1-way Random-Effects ANOVA(part 4/6): Variance Components Estimation.
1-way Random-Effects ANOVA(part 5/6): F Test & C I's.
1-way Random-Effects ANOVA(part 6/6): R Software.
Repeated Measures 1-way fixed effects ANOVA (part 1/7): Model Development.
Repeated Measures 1-way fixed effects ANOVA (part 2/7): Perpendicular Projection Matrices.
Repeated Measures 1-way fixed effects ANOVA (part 3/7): Column Space of the Design Matrix.
Repeated Measures 1-way fixed effects ANOVA (part 4/7): Partitioning the Sum of Squares.
Repeated Measures 1-way fixed effects ANOVA (part 5/7): Distributional Properties of the SS..
Repeated Measures 1-way fixed effects ANOVA (part 6/7): Contrasts.
Repeated Measures 1-way fixed effects ANOVA (part 7/7): R Software Illustrating Parts 1-6.
Randomized Complete Blocks ANOVA (part 1/6): Model Development.
Randomized Complete Blocks ANOVA (part 2/6): Projection Matrices and Column Spaces.
Randomized Complete Blocks ANOVA (part 3/6): Sum of Squares and F-Test.
Randomized Complete Blocks ANOVA (part 4/6): Estimability and Treatment Contrasts.
Randomized Complete Blocks ANOVA (part 5/6): Random Treatment Effects.
Randomized Complete Blocks ANOVA (part 6/6): R Software Illustration.
The Regression Approach to ANOVA (part 1/4): Partial F Test.
The Regression Approach to ANOVA (part 2/4): Type I, II, III, IV Sum of Squares.
The Regression Approach to ANOVA (part 3/4): Balanced Designs.
The Regression Approach to ANOVA (part 4/4): R Software Illustration.
Balanced Incomplete Block Design (part 0/8): Rough Draft.
Balanced Incomplete Block Design (part 1/8): Model Development.
Balanced Incomplete Block Design (part 2/8): Column Spaces of the Design Matrix.
Balanced Incomplete Block Design (part 3/8): Deriving the Least Squares Estimates.
Balanced Incomplete Block Design (part 4/8): Sum of Squares Error and Partial F Test.
Balanced Incomplete Block Design (part 5/8): Notation and Properties for Upcoming Contrast Videos.
Balanced Incomplete Block Design (part 6/8): Estimability and Treatment Contrasts.
Balanced Incomplete Block Design (part 7/8): Partitioning SS(trt) with Orthogonal Contrasts.
Balanced Incomplete Block Design (part 8/8): R Software Illustration.
Analysis of Covariance (part 1/9): Model Development.
Analysis of Covariance (part 2/9): Column Spaces of the Design Matrix.
Analysis of Covariance (part 3/9): Deriving the Least Squares Estimates.
Analysis of Covariance (part 4/9): Sum of Squared Error and Partial F Tests.
Analysis of Covariance (part 5/9): Estimability and Treatment Contrasts.
Analysis of Covariance (part 6/9): Balanced 1-way fixed-effects ANOVA with 1 Covariate.
Analysis of Covariance (part 7/9): Balanced Randomized Complete Block Design ANOVA with 1 Covariate.
Analysis of Covariance (part 8/9): 1-way fixed-effects ANOVA w/ 1covariate.
Analysis of Covariance (part 9/9): 2 Factor ANOVA w/ 2 covariate (NoInteraction).
Balanced 2 Factor Factorial Design without Interaction (part 1/7): Model Development.
Balance 2 Factor Factorial Design without Interaction (part 2/7):Column Spaces of the Design Matrix.
Balanced 2 Factor Factorial Design without Interaction (part 3/7): Partitioning the SS.
Balanced 2 Factor Factorial Design without Interaction (part 4/7): Distribution of Sum of Squares.
Balanced 2 Factor Factorial Design without Interaction (part 5/7): F Tests for Factor Effects.
Balanced 2 Factor Factorial Design without Interaction (part 6/7): Contrasts.
Balanced 2 Factor Factorial Design without Interaction (part 7/7): R Software Illustration.
Balanced 2 Factor Factorial Design with Interaction (part 1/8): Model Development.
Balanced 2 Factor Factorial Design with Interaction (part 2/8): Column Spaces of the Design Matrix.
Balanced 2 Factor Factorial Design with Interaction (part 3/8): Partitioning the SS.
Balanced 2 Factor Factorial Design with Interaction (part 4/8): Distribution of SS and F Tests.
Balanced 2 Factor Factorial Design with Interaction (part 5/8): Contrasts.
Balanced 2 Factor Factorial Design with Interaction (part 6/8): Random Effects Model.
Balanced 2 Factor Factorial Design with Interaction (part 7/8): Random Effects Model F Tests.
Balanced 2 Factor Factorial Design with Interaction (part 8/8): R Software Illustration.
Hierarchical Designs (part 1/11): Model Development.
Hierarchical Designs (part 2/11): Columns Spaces of the Design Matrix.
Hierarchical Designs (part 3/11): Partitioning the SS.
Hierarchical Designs (part 4/11): Distribution of SS and F Tests.
Hierarchical Designs (part 5/11): Contrasts.
Hierarchical Designs (part 6/11): Random Effects.
Hierarchical Designs (part 7/11): Variance Components Estimation.
Hierarchical Designs (part 8/11): 3 Stage Nested.
Hierarchical Designs (part 9/11): Nested and Crossed.
Hierarchical Designs (part 10/11): R Illustration of 2-Stage Nested Design.
Hierarchical Designs (part 11/11): R Illustration of a Nested and Crossed Design.
Split Plot Design (part1/10): Model Development.
Split Plot Design (part 2/10): Design Matrix.
Split Plot Design (part 3/10): Perpendicular Projection Matrices.
Split Plot Design (part 4/10): Column Spaces of the Design Matrix.
Split Plot Design (part 5/10): Best Linear Unbiased Estimate.
Split Plot Design (part 6/10): Partitioning the Total SS.
Split Plot Design (part 7/10): Expected SS.
Split Plot Design (part 8/10): Distribution of SS.
Split Plot Design (part 9/10): F Tests.
Split Plot Design (part 10/10): R Illustration / Example.

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