User:Regina/MYDrafts3

Details

Semantics: Let X1, X2, …,Xn be the numbers in the sequence X and Y1, Y2, …,Ym be the numbers in the sequence Y. Then and . Moreover let , and

where Γ is the Gamma function.

Paired Samples

If type=1, a paired Student's test is calculated. It uses the differences of the pairs. So in this case the data X and Y should have the same count n.

TTEST calculates the p-value for a paired-sample comparison of means test. Note that in this case due to the above constraints n=m. With

and

TTEST returns.

Unpaired Samples, Equal Variance

(2)If type = 2, TTEST calculates the p-value of a comparison of means for independent samples from populations with equal variance. With

and

==== Unpaired Samples, Not Necessarily Equal Variances

TTEST returns . (3)If type = 3, TTEST calculates the p-value of a comparison of means for independent samples from populations with not necessarily equal variances. With

and

TTEST returns . For an empty element or an element of type Text or Boolean in X the element at the corresponding position of Y is ignored, and vice versa.