Question

Answer the following about computational Bayesian analysis. For 10 points each:
[10m] Stan is one language that is useful for drawing samples and checking convergence using these methods. These numerical methods are exemplified by the Metropolis-Hastings algorithm.
ANSWER: Monte Carlo methods [accept MCMC or Markov Chain Monte Carlo methods; prompt on MC]
[10h] Stan is named after this man, known for pioneering the Monte Carlo method. His work on non-Euclidean metrics built a foundation for cellular automata theory.
ANSWER: Stanislaw (“sta-ni-slav”) Ulam
[10e] Packages that use Stan often fit mixed models, which contain both fixed effects and effects described by this word. Monte Carlo methods rely on “sampling” described by this adjective.
ANSWER: random effects [accept random sampling]
<Jay Kim, Other Science>

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Summary

2024 Penn Bowl Berkeley11/02/2024Y225.00100%100%50%
2024 Penn Bowl CWRU11/02/2024Y410.00100%0%0%
2024 Penn Bowl Chicago11/02/2024Y817.50100%63%13%
2024 Penn Bowl Florida10/26/2024Y215.00100%50%0%
2024 Penn Bowl Harvard10/26/2024Y417.50100%75%0%
2024 Penn Bowl Mainsite11/02/2024Y326.67100%100%67%
2024 Penn Bowl Texas11/02/2024Y215.00100%50%0%
2024 Penn Bowl UK10/26/2024Y518.00100%60%20%
2024 Penn Bowl UNC10/26/2024Y316.67100%33%33%

Data

Illinois AWUSTL1001020
Indiana BIllinois C001010
Chicago AIndiana A10101030
Northwestern APurdue1001020
MinnesotaNorthwestern B001010
Notre Dame AIllinois B1001020
Chicago BNotre Dame B1001020
SIUENotre Dame C001010