Physics research that involves lots of statistical analysis?

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I'm currently in a physics grad program and am interested in doing research where statistical analysis is involved by using R or SAS. What fields of physics research relies on this the most? Should I look into theory, computational, or experimental groups? Or perhaps observational astronomy?
 
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Look for "inverse problems" - this is where you start out with a lot of data and you try to find out what theory gives rise to the data. That is heavy in statistical analysis.

Any the areas you have listed may have the kind of work you want since inverse problems appear everywhere.
You will have to ask at your grad school. Students normally get further by looking for work in a field that interests them, then apply their favorite tools to a problem in that field.