Fisher's Exact Test

FISHERSEXACTTEST(DataRange,NewTableFlag)

• $DataRange$ is the array of x and y values.
• $NewTableFlag$ is either TRUE or FALSE. TRUE for getting results in a new cube. FALSE will display results in the same cube.
  
  

DESCRIPTION

• This function gives the test statistic of the Fisher's Exact Test.
• Since this method is more computationally intense, it is best used for smaller samples.
• Like the chi-square test for (2x2) tables, Fisher's exact test examines the relation between two dimensions of the table (classification into rows vs. columns).
• For experiments with small numbers of participants (below 1,000), Fisher’s is more accurate than the chi-square test or G-test.
• The null hypothesis is that these two classifications are not different.
• The P values in this test are computed by considering all possible tables that could give the row and column totals observed.
  
  

ASSUMPTIONS

• Unlike other statistical tests, there isn’t a formula for Fisher’s.
• To get a result for this test, calculate the probability of getting the observed data using the null hypothesis that the proportions are the same for both sets.
  
  

EXAMPLE

SPREADSHEET

	A	B
1	5	3
2	8	9

=FISHERSEXACTTEST([A1:B2], true)

FISHER'S EXACT TEST

	DATA-0	DATA-1	SUM
	5	3	8
	8	9	17
SUM	13	12	25

TABLE

COUNT	PROBABILITY	PROB
0	0.0011899313501144164	0.0011899313501144164
1	0.019038901601830662	0.019038901601830662
2	0.10471395881006865	0.10471395881006865
3	0.2617848970251716	0.2617848970251716
4	0.32723112128146453	0
5	0.2094279176201373	0.2094279176201373
6	0.06663615560640732	0.06663615560640732
7	0.009519450800915331	0.009519450800915331
8	0.0004576659038901602	0.0004576659038901602

SUMMARY

VARIABLE	RESULT
ONE-TAIL	0.38672768878718533
TWO-TAIL	0.6727688787185354
EXACT HYPERGEOMETRIC PROB.	0.2617848970251716

Comparison of software

Conduct Fisher's exact test for the data in the range B2:C4.

SOLUTION
In z3:

In R: