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Alex Dvornikov edited To_bridge_theory_with_experiment__.tex
over 8 years ago
Commit id: 9c3c22db3837fad3ec9b2497c2c39817847d7e41
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To bridge theory with experiment, we compared our light curves to Eric Hsiao's theoretical light curves. Prof. Hsiao's model encompassed 3 parameters (peak magnitude, peak day, and light curve stretch). We sampled this 3 dimensional parameter space and found the optimal \(\chi^2\). There are several ways of going about this optimization. We chose the simplest - minimizing \(\chi^2\). This method is simple but has a drawback. We cannot report a confidence level. Had we brute force populated the parameter space and marginalized the probability along each dimension we could then report a confidence level of our choice.
Below are the comparisons of the data to the fit. Due to a close agreement, we elected to not plot the light curves for the reference stars. We believe that the reference stars did not vary significantly and did not cause systematic error from night to night. Following the comparison plots, the remaining pages are the code behind this assignment.