STATS_BINOMIAL_TEST
Description of the illustration stats_binomial_test.gif
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 four 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 fourth argument is a return value of type VARCHAR2. If you omit the fourth argument, then the default is TWO_SIDED_PROB. The meaning of the return values is shown in Table 7-3.
Table 7-3 STATS_BINOMIAL Return Values
| Return Value | Meaning |
|---|---|
|
|
The probability that the given population proportion, |
|
|
The probability that the given population proportion, |
|
|
The probability that the given population proportion, |
|
|
The probability that the given population proportion, |
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;