# in order to remember stuff i need to understand their

Brooklynn Hubbard 2022-05-10 Answered
in order to remember stuff i need to understand their reason. Right now i cannot remember what is type 1 error and what is type 2 error why is the reason type 1 is false positive?
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Mathias Patrick
Keeping in mind that we're discussing Neyman-Pearson type hypothesis testing, if we're going to number them (and I am not saying there's necessarily a strong reason to do that), there's a logical reason to give one of the two error types primacy:
The Type I error rate is the one you choose (when you set your significance level).
The Type II error rate is then a consequence of that choice (along with some other things like effect size and sample size).
This distinction (that the first kind of error is the one whose rate you choose while the second rate follows) seems to have been pretty much there right from the start. They (Neyman and Pearson) certainly defined the first and second types, and the NP testing framework has always had that 'choose the first rate the second follows' structure.
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studovnaem4z6
In an experiment we want to be 95% sure that our conclusion (the alternative hypothesis) is true. That leaves 5% chance that we are plain wrong. This type of error is pretty straight forward and therefore considered the first type of error that can occur (false positive). The probability is also straight forward. It is simply the 5% that we defined ourself anyway ($\alpha$).
The second type of error is more convoluted. It is the chance we are not sure enough to draw our conclusion (the alternative hypothesis), even though it is true anyway.
The second type of error is not really a false negative, since we can never draw the conclusion that the alternative hypothesis is false (i.e. negative). We can only say we do not have sufficient proof that the alternative hypothesis is true. Usually it cannot be determined either, or at least not without making precarious assumptions. As I said, it is a bit more convoluted.