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General Linear Models - Design of Experiments

General Linear Models - Design of Experiments

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Balanced Incomplete Block Design (part 2/8): Column Spaces of the Design Matrix

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Balanced Incomplete Block Design (part 2/8): Column Spaces of the Design Matrix

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General Linear Models - Design of Experiments

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

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