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Comparing two strategies, pooled, Welch, or paired t-test?

Strategy A and strategy B each traded for 100100 days. You want to know whether their mean daily returns genuinely differ.

Set up the test. When do you pool variances, when do you use Welch's test, and when should you pair the observations?

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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