1 Design of Experiments: Models Introduction
2 Design of Experiments: Projection Matrix onto c(X)
3 Design of Experiments: Projection Matrix onto c(X) Example
4 Design of Experiments: Least Square Estimator of Beta
5 Estimability (part 1/4): Necessary and Sufficient Conditions
6 Estimability (part 2/4): Unique Unbiased Estimator
7 Estimability (part 3/4): Gauss Markov Theorem
8 Estimability (part 4/4): Generating Estimable Functions
9 Design of Experiments: Estimating the Error Variance
10 1-way fixed-effects ANOVA (part 1/10): Model Development
11 1-way fixed-effects ANOVA (part 1/10): (Example) Model Development
12 1-way fixed-effects ANOVA (part 2/10): Estimating Parameters
13 1-way fixed-effects ANOVA (part 2/10): (Example) Estimating Parameters
14 1-way fixed-effects ANOVA (part 3/10): Partitioning the Sum of Squares
15 1-way fixed-effects ANOVA (part 3/10): (Example) Partitioning the Sum of Squares
16 1-way fixed-effects ANOVA (part 4/10): Sum of Squares Derivations
17 1-way fixed-effects ANOVA (part 4/10): (Example) Sum of Squares Derivations
18 1-way fixed-effects ANOVA (part 5/10): F Test and C.I.'s
19 1-way fixed-effects ANOVA (part 5/10): (Example) F Test and C.I.'s
20 1-way fixed-effects ANOVA (part 6/10): Unbalanced Case
21 1-way fixed-effects ANOVA (part 7/10): Contrasts
22 1-way fixed-effects ANOVA (part 7/10): (Example) Contrasts
23 1-way fixed-effects ANOVA (part 8/10): Contrasts with Normal Assumptions
24 1-way fixed-effects ANOVA (part 8/10): (Example) Contrasts with Normal Assumptions
25 1-way fixed-effects ANOVA (part 9/10): Orthogonal Contrasts
26 1-way fixed-effects ANOVA (part 9/10): (Example) Orthogonal Contrasts
27 1-way fixed-effects ANOVA (part 10/10): Partitioning SS(trt)
28 1-way fixed-effects ANOVA (part 10/10): (Example) Partitioning SS(trt)
29 1-way fixed-effects ANOVA (part 11/10): Residuals
30 1-way fixed-effects ANOVA (part 11/10): (Example) Residuals
31 1-way Random-Effects ANOVA(part 1/6): Model Development
32 1-way Random-Effects ANOVA(part 2/6): Distributional Properties of SS
33 1-way Random-Effects ANOVA(part 3/6): Another Proof for the Distribution for SS(trt)
34 1-way Random-Effects ANOVA(part 4/6): Variance Components Estimation
35 1-way Random-Effects ANOVA(part 5/6): F Test & C I's
36 1-way Random-Effects ANOVA(part 6/6): R Software
37 Repeated Measures 1-way fixed effects ANOVA (part 1/7): Model Development
38 Repeated Measures 1-way fixed effects ANOVA (part 2/7): Perpendicular Projection Matrices
39 Repeated Measures 1-way fixed effects ANOVA (part 3/7): Column Space of the Design Matrix
40 Repeated Measures 1-way fixed effects ANOVA (part 4/7): Partitioning the Sum of Squares
41 Repeated Measures 1-way fixed effects ANOVA (part 5/7): Distributional Properties of the SS.
42 Repeated Measures 1-way fixed effects ANOVA (part 6/7): Contrasts
43 Repeated Measures 1-way fixed effects ANOVA (part 7/7): R Software Illustrating Parts 1-6
44 Randomized Complete Blocks ANOVA (part 1/6): Model Development
45 Randomized Complete Blocks ANOVA (part 2/6): Projection Matrices and Column Spaces
46 Randomized Complete Blocks ANOVA (part 3/6): Sum of Squares and F-Test
47 Randomized Complete Blocks ANOVA (part 4/6): Estimability and Treatment Contrasts
48 Randomized Complete Blocks ANOVA (part 5/6): Random Treatment Effects
49 Randomized Complete Blocks ANOVA (part 6/6): R Software Illustration
50 The Regression Approach to ANOVA (part 1/4): Partial F Test
51 The Regression Approach to ANOVA (part 2/4): Type I, II, III, IV Sum of Squares
52 The Regression Approach to ANOVA (part 3/4): Balanced Designs
53 The Regression Approach to ANOVA (part 4/4): R Software Illustration
54 Balanced Incomplete Block Design (part 0/8): Rough Draft
55 Balanced Incomplete Block Design (part 1/8): Model Development
56 Balanced Incomplete Block Design (part 2/8): Column Spaces of the Design Matrix
57 Balanced Incomplete Block Design (part 3/8): Deriving the Least Squares Estimates
58 Balanced Incomplete Block Design (part 4/8): Sum of Squares Error and Partial F Test
59 Balanced Incomplete Block Design (part 5/8): Notation and Properties for Upcoming Contrast Videos
60 Balanced Incomplete Block Design (part 6/8): Estimability and Treatment Contrasts
61 Balanced Incomplete Block Design (part 7/8): Partitioning SS(trt) with Orthogonal Contrasts
62 Balanced Incomplete Block Design (part 8/8): R Software Illustration
63 Analysis of Covariance (part 1/9): Model Development
64 Analysis of Covariance (part 2/9): Column Spaces of the Design Matrix
65 Analysis of Covariance (part 3/9): Deriving the Least Squares Estimates
66 Analysis of Covariance (part 4/9): Sum of Squared Error and Partial F Tests
67 Analysis of Covariance (part 5/9): Estimability and Treatment Contrasts
68 Analysis of Covariance (part 6/9): Balanced 1-way fixed-effects ANOVA with 1 Covariate
69 Analysis of Covariance (part 7/9): Balanced Randomized Complete Block Design ANOVA with 1 Covariate
70 Analysis of Covariance (part 8/9): 1-way fixed-effects ANOVA w/ 1covariate
71 Analysis of Covariance (part 9/9): 2 Factor ANOVA w/ 2 covariate (NoInteraction)
72 Balanced 2 Factor Factorial Design without Interaction (part 1/7): Model Development
73 Balance 2 Factor Factorial Design without Interaction (part 2/7):Column Spaces of the Design Matrix
74 Balanced 2 Factor Factorial Design without Interaction (part 3/7): Partitioning the SS
75 Balanced 2 Factor Factorial Design without Interaction (part 4/7): Distribution of Sum of Squares
76 Balanced 2 Factor Factorial Design without Interaction (part 5/7): F Tests for Factor Effects
77 Balanced 2 Factor Factorial Design without Interaction (part 6/7): Contrasts
78 Balanced 2 Factor Factorial Design without Interaction (part 7/7): R Software Illustration
79 Balanced 2 Factor Factorial Design with Interaction (part 1/8): Model Development
80 Balanced 2 Factor Factorial Design with Interaction (part 2/8): Column Spaces of the Design Matrix
81 Balanced 2 Factor Factorial Design with Interaction (part 3/8): Partitioning the SS
82 Balanced 2 Factor Factorial Design with Interaction (part 4/8): Distribution of SS and F Tests
83 Balanced 2 Factor Factorial Design with Interaction (part 5/8): Contrasts
84 Balanced 2 Factor Factorial Design with Interaction (part 6/8): Random Effects Model
85 Balanced 2 Factor Factorial Design with Interaction (part 7/8): Random Effects Model F Tests
86 Balanced 2 Factor Factorial Design with Interaction (part 8/8): R Software Illustration
87 Hierarchical Designs (part 1/11): Model Development
88 Hierarchical Designs (part 2/11): Columns Spaces of the Design Matrix
89 Hierarchical Designs (part 3/11): Partitioning the SS
90 Hierarchical Designs (part 4/11): Distribution of SS and F Tests
91 Hierarchical Designs (part 5/11): Contrasts
92 Hierarchical Designs (part 6/11): Random Effects
93 Hierarchical Designs (part 7/11): Variance Components Estimation
94 Hierarchical Designs (part 8/11): 3 Stage Nested
95 Hierarchical Designs (part 9/11): Nested and Crossed
96 Hierarchical Designs (part 10/11): R Illustration of 2-Stage Nested Design
97 Hierarchical Designs (part 11/11): R Illustration of a Nested and Crossed Design
98 Split Plot Design (part1/10): Model Development
99 Split Plot Design (part 2/10): Design Matrix
100 Split Plot Design (part 3/10): Perpendicular Projection Matrices
101 Split Plot Design (part 4/10): Column Spaces of the Design Matrix
102 Split Plot Design (part 5/10): Best Linear Unbiased Estimate
103 Split Plot Design (part 6/10): Partitioning the Total SS
104 Split Plot Design (part 7/10): Expected SS
105 Split Plot Design (part 8/10): Distribution of SS
106 Split Plot Design (part 9/10): F Tests
107 Split Plot Design (part 10/10): R Illustration / Example