safeZTestStat {safestats}

Computes E-Values Based on the Z-Statistic

Description

Computes e-values using the z-statistic and the sample sizes only based on the test defining parameter phiS.

Usage

safeZTestStat(
  z,
  phiS,
  n1,
  n2 = NULL,
  alternative = c("twoSided", "less", "greater"),
  paired = FALSE,
  sigma = 1,
  ...
)

Arguments

z

numeric that represents the observed z-statistic.

phiS

numeric this defines the safe test S, i.e., a likelihood ratio of z distributions with in the denominator the likelihood with mean difference 0 and in the numerator an average likelihood defined by the likelihood at the parameter value. For the two sided case 1/2 at the parameter value and 1/2 at minus the parameter value.

n1

integer that represents the size in a one-sample z-test, (n2=NULL). When n2 is not NULL, this specifies the size of the first sample for a two-sample test.

n2

an optional integer that specifies the size of the second sample. If it's left unspecified, thus, NULL it implies that the z-statistic is based on one-sample.

alternative

a character string specifying the alternative hypothesis must be one of "twoSided" (default), "greater" or "less".

paired

a logical, if TRUE ignores n2, and indicates that a paired z-test is performed.

sigma

numeric, the assumed known standard deviation, default 1.

...

further arguments to be passed to or from methods.

Value

Returns an e-value.

Examples

safeZTestStat(z=1, n1=100, phiS=0.4)
safeZTestStat(z=3, n1=100, phiS=0.3)