KIPAC / StatisticalMethods

Course notes and resources for Stanford University graduate course PHYS366: Statistical Methods in Astrophysics
https://kipac.github.io/StatisticalMethods
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missing data chunk #142

Closed abmantz closed 6 years ago

abmantz commented 7 years ago

Possibly helpful to discuss PGM conventions for this case, work out the first part of the exercise explicitly.

abmantz commented 7 years ago

Trying to interpret this months later... I'm pretty sure the PGM conventions refer to

  1. not distinguishing "obs" and "mis" quantities at the PGM level
  2. clarifying that the binomial term is the likelihood associated with obs/mis group membership (as a vector) -- this doesn't translate perfectly to a PGM, where stacks (somewhat) imply independence, but oh well.
drphilmarshall commented 7 years ago

I think the stacked plates should indeed only be used when referring to N independent objects - whose common hyperparameters then lie outside the plate. We should try and draw a PGM that preserves this (or abandons the plate in favor of vector quantities) while still making the binomial PDF explicit. I'm sure its possible - if the math can be written, surely the DAG can be drawn?

abmantz commented 7 years ago

In this case, I think moving the obs/mis indicator variables to a vector outside the plates would do it. The conditionals should be such that everything inside the plate is still independent for different sources.

This is one of the requested topics for the upcoming LSSTC DSF session, so I'll have to work it out in the next few weeks anyhow.

abmantz commented 7 years ago

Now closed in the dsfp_sep17 branch, although not merged into master.

abmantz commented 7 years ago

Updated issue! Come up with better example scenarios than the M-sigma relation. It should be much easier if the missingness mechanism is intuitive and plausible. Also

abmantz commented 6 years ago

Hopefully closed by 33b4cc0278d608cce9ac5d9415a063cf0ec786e7