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What is the risk of performing the t-test using pooled variance, if the variances between the 2 samples are actually unequal?

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This may lead to a false negative or a false positive on the conclusion. This is because the statistic being tested is not truly indicative of the two samples, which could end up tainting the final statistic. Having a statistic that is incorrect can lead to both Type I and Type II errors.
User AntonPiatek
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