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Intro to Bayesian Hierarchical Modeling

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1 Intro to Bayesian Hierarchical Modeling
P548: Bayesian Stats with Psych Applications Instructor: John Miyamoto 2/1/2017: Lecture 05-2 Note: This Powerpoint presentation may contain macros that I wrote to help me create the slides. The macros aren’t needed to view the slides. You can disable or delete the macros without any change to the presentation.

2 Psych 548, Miyamoto, Aut ‘16

3 Kruschke Figure 9.7 (p. 236); Three Versions
Psych 548, Miyamoto, Win '17

4 Kruschke Figure 9.7 (p. 236); Three Versions
* Figures 1 and 2a use different notation to describe the same statistical model. * Figures 2a and 2b Psych 548, Miyamoto, Win '17

5 Psych 548, Miyamoto, Aut ‘16

6 Factorization of a Hierarchical Model (Kruschke, Eq. 9.11, p. 222)
Psych 548, Miyamoto, Win '17

7 Factorization of a Hierarchical Model (Kruschke, Eq. 9.11, p. 222)
Same D is independent of w , conditioned on q. Psych 548, Miyamoto, Win '17

8 Factorization of a Hierarchical Model (Kruschke, Eq. 9.11, p. 222)
D is independent of w , conditioned on q. The diagram for a Bayesian graphical model displays the pattern of conditional independence and conditional dependence. In this case, theta "screens off" y from omega (analogous to Gopnik experiments with children's understanding of causal graphs). Psych 548, Miyamoto, Win '17

9 Psych 548, Miyamoto, Aut ‘16

10 Set Up for Instructor Turn off your cell phone. Close web browsers if they are not needed. Classroom Support Services (CSS), 35 Kane Hall, If the display is odd, try setting your resolution to 1024 by 768 Run Powerpoint. For most reliable start up: Start laptop & projector before connecting them together If necessary, reboot the laptop Psych 548, Miyamoto, Aut ‘16


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