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Spurious_Correlation.pdf

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Spurious_Correlation.pdf

  1. 1. Spurious Correlations and how to fix it Dr. Manish Gupte, PhD 1) I did psychiatry study to see effect of employment on mental health improvment. In that simple correlation table shows when patients take up employment their disability reduces. But on closer analysis, we found, only ppl who did not have bad initial disability got job. And severe patients did not get job. So only ok patients got job and ok patients only got better. This role of employment is not actually there. It is suprious correlation. So we made subsets in data based on initial disability level. So we compare initial severe patients with job and without job. Both groups were initial severe patients. then it become clear, job has no role in disablity improment and in short term it causes stress and increases disability. same way group of initially ok patients with and without job. This is in this type of job, maybe creatve job helps with health - some research, art, etc not simple tailoring job. This is short term study, maybe longer term studies show other results 2) Then I analyzed Boston area crime with gun ban. A politician was saying gun ban reduced crime, but when he put ban he increased police level also. So we had to removed effect of police force on crime level. For this again we found how change in police level in same county effects change in crime level. And then found more police means less crime. Simple correlation show no correlation as Govt puts more police where there is more crime. By using difference to calculate correlation we got proper negative sign. Then removing effect of police on crime correctly, we found gun ban actually increased crime. 3) And in Pune we were thinking of using heat map like visualization to place police and ambulance in hot spots. But again police is already near crime hot spots so crime there is under control. And ambulance is already near accident prone and old ppl localities. So again difference and then removing the effect of Govt measures and then putting back police/ambulace for optimization. With simple correlation it give wrong result and it can cause lapse

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