The title above is click bait and I hope you will forgive me for using it.
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The answers from many CLL experts would be that causation has not been proven by clinical trial data since there are ethical and statistical problems with designing the studies.
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We had an interesting discussion today on Coincidence vs. Causation and I thought I would post the YouTube videos I found.
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There are many symptoms & problems that appear more frequently among CLL patients, but the purist researchers will respond that "Correlation does not imply causation"
see : youtube.com/watch?v=XoLxQfi...
youtube.com/watch?v=GtV-VYd...
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To me that is similar to saying that both your CLL and your skin/ back / infection/ etc. issues were "both at the scene of the crime"
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Your hematologist could be correct that no one has proven that CLL causes the problem , but there are statistics that show that CLL patients have more of the problem. But whether the cause is a direct result of CLL or indirectly related via some undiscovered cause that damaged your immune system allowing the infection or cancer to develop undeterred.
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So like skin cancer problems with CLL, and that patients with low Vitamin D3 do worse, no clinical studies have proven the actual causes, but the statistics are like heavy smoke indicating a fire / cause somewhere yet to be discovered.
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Len