B****r 发帖数: 647 | 1 有三组data,a, b, c
statistically significant: a>c, b>c
如果把a,b合并,还能保证这组新的data>c么? | P****D 发帖数: 11146 | | s*****r 发帖数: 790 | 3 it is not necessary.
consider this case: a>c is just significant, b>c is just significant,
mean of b is greater than mean of a, they have same sd. the combined data
has mean smaller than b, but a larger sd. when you calibrate the numbers
carefully, you get insignificant results.
【在 B****r 的大作中提到】 : 有三组data,a, b, c : statistically significant: a>c, b>c : 如果把a,b合并,还能保证这组新的data>c么?
| c******n 发帖数: 380 | 4 Isn't it an example of Simpson Paradox? | s*****r 发帖数: 790 | 5 it is a little different I guess. Simpson Paradox needs to pool c as well
but here there is only one group of c.
【在 c******n 的大作中提到】 : Isn't it an example of Simpson Paradox?
| B****r 发帖数: 647 | 6 Got it, thanks!
【在 s*****r 的大作中提到】 : it is not necessary. : consider this case: a>c is just significant, b>c is just significant, : mean of b is greater than mean of a, they have same sd. the combined data : has mean smaller than b, but a larger sd. when you calibrate the numbers : carefully, you get insignificant results.
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