FAQ: Hypothesis Testing - Assumptions of Numerical Hypothesis Tests

#1

This community-built FAQ covers the “Assumptions of Numerical Hypothesis Tests” exercise from the lesson “Hypothesis Testing”.

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FAQs on the exercise Assumptions of Numerical Hypothesis Tests

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#2

In hypothesis testing it says if the ratio of two standard deviation is staying within 10 percent then it should suffice .What i don’t understand is with respect to what should the ratio be 10 percent.what are we comparing ratio with when we say 10 percent ,for example we get the ratio between dist_2/dist_3 as 58 % what does the percentage imply?

#3

I might not have understood what you mean, but 58% means one is almost double the other, and so the two samples are too different in shape to compare reliably, as the tests assume distributions are normal and similar. Up to 10% difference ie within a range of 90% to 110% (depending which sample you divide by) means they are roughly (enough) the same shape.
I don’t know why they have to be the same shape, though!

#4

I think I am wrong when I say 90% to 110%.
I got 0.58 for dist_2/dist_3, but 1.71992083922 for dist_3/dist_2.
But what I take from the explanation is: check the stds before you test, and if they are way different then think again, and if they are close, divide one by the other (smaller divided by larger) to see if the ratio is closer than 90%.

#5

thank you so much it was very confusing