Manuals/calci/FTEST

FTEST(Array1,Array2)


  • and are array of data.
    • FTEST(), returns the result of an F-test.

Description

  • This function gives the result of F-test.
  • The F-test is designed to test if two population variances are equal.
  • It does this by comparing the ratio of two variances.
  • So, if the variances are equal, the ratio of the variances will be 1.
  • Let X1,...Xn and Y1,...Ym be independent samples each have a Normal Distribution .
  • It's sample means:

  and

  .
  • The sample variances :
 

and

 
  • Then the Test Statistic =   has an F-distribution with 'n−1' and 'm−1' degrees of freedom.
  • In FTEST(Array1,Array2) where   is the data of first array,   is the data of second array.
  • The array may be any numbers, names, or references that contains numbers.
  • values are not considered if the array contains any text, logical values or empty cells.

When the   or   is less than 2 or the variance of the array value is zero, then this function will return the result as error.

ZOS

  • The syntax is to calculate FTEST in ZOS is  .
    •   and   are array of data.
  • For e.g.,FTEST([15,29,30],[62,74,80])
F-Test

Examples

1.

DATA1
15 27 19 32
DATA2
21 12 30 11
=FTEST(B4:B8,C4:C8)=0.81524906747183

2.

DATA1
5 8 12 45 23
DATA2
10 20 30 40 50
=FTEST(A1:A5,C1:C5)=0.9583035732212274  

3.

DATA1
14 26 37
DATA2
45 82 21 17
FTEST(B1:B3,C1:C4} = 0.26412211240525474

4.

DATA1
14
DATA1
45 65
=FTEST(B1,C2:C3)=NAN

Related Videos

F-Test

See Also

References

F Test