For two matched-pair samples x and y, perform a sign test of the null hypothesis PROB (x > y) == PROB (x < y) == 1/2.
Under the null, the test statistic b roughly follows a
binomial distribution with parameters
n = sum (x != y)
and p = 1/2.
With the optional argument alt
, the alternative of interest can be
selected. If alt is "!="
or "<>"
, the null
hypothesis is tested against the two-sided alternative
PROB (x < y) != 1/2. If alt is ">"
, the one-sided
alternative PROB (x > y) > 1/2 ("x is stochastically greater
than y") is considered. Similarly for "<"
, the one-sided
alternative PROB (x > y) < 1/2 ("x is stochastically less than
y") is considered. The default is the two-sided case.
The p-value of the test is returned in pval.
If no output argument is given, the p-value of the test is displayed.
Package: statistics