Manuals/calci/FTESTANALYSIS

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FTESTANALYSIS(ar1,ar2,alpha,newtableflag)


  • and are array of data.
  • is the significance level.
  • is the logical value.

Description

  • This function gives the analysis of variance.
  • This statistics used to determine the significant difference of three or more variables or multivariate collected from experimental

research.

  • So this analysis is depending on the hypothesis.
  • The hypotheses for this test are
  (null hypothesis, variances are equal)
  (alternative hypothesis, variances are not equal)
  • For example, the comparison of SCORES across GROUPS,where there are two groups.
  • The purpose is to determine if the mean SCORE on a test is different for the two groups tested (i.e., control and treatment groups)
  • In FTESTANALYSIS(ar1,ar2,alpha,newtableflag) where is the data of first array, is the data of second array.
  • is the significance level which ranges from 0 to 1.
  • is the logical value like TRUE or FALSE.
  • TRUE is indicating the result will display in new worksheet.Suppose we are omitted the lv value it will consider the value as FALSE.
  • The F statistic of this function calculated by:

has an F-distribution with Failed to parse (syntax error): {\displaystyle n−1} and Failed to parse (syntax error): {\displaystyle m−1} degrees of freedom.

  • Also is the sample variance of first set of values.
  • And is the sample variance of second set of values.
  • If the f-value from the test is higher than the f-critical value then the null hypothesis should be rejected and the variances are unequal.
  • So the following cases will occur:
  • If the variances are assumed to NOT be equal, proceed with the t-test that assumes non-equal variances.
  • If the variances are assumed to be equal, proceed with the t-test that assumes equal variances.
  • In this function 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.

Examples

1.{| class="wikitable" |+Spreadsheet |- ! !! A !! B |- !1 |15 || 21 |- !2 |27 || 12 |- !3 |19 || 30 |- !4 |32 || 11 |} FTESTANALYSIS(A1:A4,B1:B4,0.5,TRUE)

Variable1 Variable2 Mean 23.25 18.5
Variance 58.916666666666664 79
Observations 4 4
Degree Of Freedom 3 3
F-Value 0.7457805907172995
P(F<=f) one-tail 0.407624533735915
F Critical one-tail 1
| 12
| 45
| 23

|}

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

See Also

References

F Test