T-test and F-test for goodness of fit

• The F test compares the variances of the Y values to the variances of the fitted Y values.
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• The T test compares the means of the differences between the Y values and the fitted Y values to the 
• corresponding mean standard deviations.
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• Both the F and T tests judge goodness of fit depending on how close the results of the calculations are to 1.
• 
  
• The T test compares the means of the differences between the Y values and the fitted Y values to the corresponding mean standard deviations. 

• Both the F and T tests judge goodness of fit depending on how close the results of the calculations are to 1.

http://books.google.com/books?id=tIsjh56pI0IC&pg=PA159&lpg=PA159&dq=nonlinear+regression%22+t+test%22&source=bl&ots=dPZAyra-P3&sig=g-GIgmlz2SA8LmBy-xfaaTrPZO8&hl=en&sa=X&ei=PJBlUZd2kajgA-2fgMgB&ved=0CEwQ6AEwAw#v=onepage&q=nonlinear%20regression%22%20t%20test%22&f=false