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The New Elsmar Cove Forums   The New Elsmar Cove ForumsThe Elsmar Cove Forums
  Statistical Techniques and 6 Sigma
  about a test of significance example

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Author Topic:   about a test of significance example
Doctor Zaius
posted 16 August 2001 10:52 AM           Edit/Delete Message   Reply w/Quote
Two populations, before and after. The response shows statistical significance, Null hypothesis rejected, @ an alpha of 0.05 (t-test). Pretty standard stuff I guess.

The above response is actually calculated by taking two measurements and dividing one by the other.

The same tests of significance applied to the two component measurements shows no difference between populations for ONE of the measurements (significant at alpha = 0.8 or so).

The OTHER component measurement shows significance (rejects the Null hypothesis) at an alpha of 0.15.

Here's the question: How can I have two component measurements, one showing 'no difference' before and after, and the other showing difference at a less-than-spectacular alpha, BUT the test of significance on the CALCULATED response (one divided by the other) shows significance @ a very low alpha?? How can I get "good significance" from two components that offer fair and no significance?

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