RESI (version 1.3.2)

S2chisq: 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)

Value

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

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.

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)