S2chisq: Convert non-zero S to Chi-square statistic

In RESI: Robust Effect Size Index (RESI) Estimation

Convert non-zero S to Chi-square statistic

Description

Converts the robust effect size index (S) to Chi-square statistic, given that S is greater than 0. For an S value of 0, only an upper bound on the Chi-square statistic can be computed. Vector arguments are accepted. If different length arguments are passed they are dealt with in the usual way of R.

Usage

S2chisq(S, df, n)

Arguments

S	The value of the RESI estimate.
df	Number of degrees of freedom of the chi-square statistic.
n	Number of independent samples.

Details

The formula for converting a RESI estimate above 0 to Chi-square statistic is:

chisq = n*S^2 + df

If the RESI estimate is 0, all that is known is that the Chi-square statistic is less than or equal to the degrees of freedom.

Value

Returns a scalar or vector argument of the Chi-square statistic.

Examples

# convert S estimates with corresponding degrees of freedom to Chi-square estimates
S_ests = c(0.2, 0.4, 0.6)
dfs = c(2, 1, 3)
S2chisq(S = S_ests, df = dfs, n = 300)

RESI documentation built on April 3, 2025, 5:26 p.m.