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I'm trying to estimate factor loadings on portfolios over time for portfolios that are traded pretty frequently. I have a sense that several portfolios are loading on the Fama-French HML factor dynamically, and OLS estimates show that there is not a statistically significant loading on the HML factor.

I'd like to estimate the portfolios' loadings on the market and HML factors over time using the Kalman filter, but I also want to make sure I don't overfit a model and include extraneous variables. Is there a standard procedure for ensuring that I'm not adding unnecessary variables to a Kalman filter regression?

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