IGNITING A PASSION FOR CHANGE ARSONIST OR MERE ACCELERANT? George W. Cobb Mount Holyoke College USCOTS 2013 Raleigh, NC May 18.

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Presentation transcript:

IGNITING A PASSION FOR CHANGE ARSONIST OR MERE ACCELERANT? George W. Cobb Mount Holyoke College USCOTS 2013 Raleigh, NC May 18

IGNITING A PASSION FOR CHANGE ARSONIST OR MERE ACCELERANT? George W. Cobb Mount Holyoke College USCOTS 2013 Raleigh, NC May 18

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(Just for variety)

1. TYRANNY OF THE COMPUTABLE How we think, and what we teach, are shaped by what we can and cannot compute

2. THE POWER OF SIMULATION Simulation reduces computing areas and probabilities to counting # Yes / # Reps

Google Cobb, TISE

3. FISHER’S VISION Fisher wanted to base p-values on randomization, but he didn’t have the computing power. We do.

P-VALUES AND BAYES P-VALUES: Does x have a detectable effect? Does x belong in our model? BAYES: Posterior distributions for estimation A.P. Dempster (1971) “Model searching and estimation in the logic of inference”

4. BAYESIAN INTERVALS Only Bayesian intervals condition on all the data, and only on the data we actually observed

5. SIMULATION FREES US TO TEACH WHAT REALLY MATTERS It’s not just p-values and Bayesian posteriors. We need more time on what Nick Horton and Danny Kaplan talked about yesterday.

6. THERE IS NO STATISTICAL GRAND THEORY OF EVERYTHING We need both p-values for model choosing (Does x have a detectable effect?) AND Bayesian intervals for estimation (once we have a tentative model)

IGNITING A PASSION FOR CHANGE ARSONIST OR MERE ACCELERANT? George W. Cobb Mount Holyoke College USCOTS 2013 Raleigh, NC May 18