STATS_BINOMIAL_TEST

Syntax

Description of the illustration stats_binomial_test.gif

Description of the illustration stats_binomial_test.eps

Purpose

STATS_BINOMIAL_TEST is an exact probability test used for dichotomous variables, where only two possible values exist. It tests the difference between a sample proportion and a given proportion. The sample size in such tests is usually small.

This function takes three required arguments: expr1 is the sample being examined, expr2 contains the values for which the proportion is expected to be, and p is a proportion to test against. The optional fourth argument lets you specify the meaning of the NUMBER value returned by this function, as shown in Table 7-3. For this argument, you can specify a text literal, or a bind variable or expression that evaluates to a constant character value. If you omit the fourth argument, then the default is 'TWO_SIDED_PROB'.

See Also: in Oracle Database Globalization Support Guide for the collation determination rules for STATS_BINOMIAL_TEST

Table 3 STATS_BINOMIAL Return Values

Argument	Return Value Meaning
'TWO_SIDED_PROB'	The probability that the given population proportion, p, could result in the observed proportion or a more extreme one.
'EXACT_PROB'	The probability that the given population proportion, p, could result in exactly the observed proportion.
'ONE_SIDED_PROB_OR_MORE'	The probability that the given population proportion, p, could result in the observed proportion or a larger one.
'ONE_SIDED_PROB_OR_LESS'	The probability that the given population proportion, p, could result in the observed proportion or a smaller one.

'EXACT_PROB' gives the probability of getting exactly proportion p. In cases where you want to test whether the proportion found in the sample is significantly different from a 50-50 split, p would normally be 0.50. If you want to test only whether the proportion is different, then use the return value 'TWO_SIDED_PROB'. If your test is whether the proportion is more than the value of expr2, then use the return value 'ONE_SIDED_PROB_OR_MORE'. If the test is to determine whether the proportion of expr2 is less, then use the return value 'ONE_SIDED_PROB_OR_LESS'.

STATS_BINOMIAL_TEST Example

The following example determines the probability that reality exactly matches the number of men observed under the assumption that 69% of the population is composed of men:

SELECT AVG(DECODE(cust_gender, 'M', 1, 0)) real_proportion,
       STATS_BINOMIAL_TEST
         (cust_gender, 'M', 0.68, 'EXACT_PROB') exact,
       STATS_BINOMIAL_TEST
         (cust_gender, 'M', 0.68, 'ONE_SIDED_PROB_OR_LESS') prob_or_less
  FROM sh.customers;