Problems with meta-analyses

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Meta-analyses are supposed to combine the evidence on a topic from many studies (e.g., does melatonin help sleep?) to produce an answer. Many people even consider them the gold standard for evidence about scientific questions. Unfortunately, taking a weighted average of many different studies sometimes doesn't work because averaging the studies can be meaningless. Suppose a meta-analysis on "meditation for depression" tries to average the results of a one-hour app-based mindfulness medita...
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Can you have causation without correlation? (Surprisingly, yes)

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Usually, when X causes Y that means that X is correlated with Y. This may seem obvious simply because correlation is simply a measure of the extent to which Y goes up, on average, when X goes up. But, fascinatingly, there are some special cases where you can have causation WITHOUT correlation. Here are five ways causation without correlation can occur: 1. Averaging: increasing A sometimes causes increasing B, but other times, it causes B to decrease. The two balance out. Since correlation...
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