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Manuals/calci/FTEST
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Revision as of 09:24, 10 December 2013
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09:24, 10 December 2013
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*It's sample means: <math>\bar X=\frac{1}{n} \sum_(i=1)^n Xi</math> and <math>\bar Y =\frac {1}{m} \sum_{i=1}^m Yi</math> .
*It's sample means: <math>\bar X=\frac{1}{n} \sum_(i=1)^n Xi</math> and <math>\bar Y =\frac {1}{m} \sum_{i=1}^m Yi</math> .
*The sample variances :
*The sample variances :
−
<math>SX^2=\frac{1}{n-1} \sum_{i=1}^n (Xi-\bar X
)
)^2</math>
+
<math>SX^2=\frac{1}{n-1} \sum_{i=1}^n (Xi-\bar X)^2</math>
−
and :
+
and
−
<math>SY^2=\frac{1}{m-1} \sum_{i=1}^m (Yi-\bar Y)^2.
+
:<math>SY^2=\frac{1}{m-1} \sum_{i=1}^m (Yi-\bar Y)^2.
*Then the Test Statistic = <math>\frac {Sx^2}{Sy^2}<math> has an F-distribution with <math>n−1</math> and <math>m − 1</math> degrees of freedom.
*Then the Test Statistic = <math>\frac {Sx^2}{Sy^2}<math> has an F-distribution with <math>n−1</math> and <math>m − 1</math> degrees of freedom.
*In FTEST(ar1,ar2) where <math>ar1</math> is the data of first array, <math>ar2</math> is the data of second array.
*In FTEST(ar1,ar2) where <math>ar1</math> is the data of first array, <math>ar2</math> is the data of second array.
Abin
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