F.and.R2.Noncentral.Conversion function

Conversion functions from noncentral noncentral values to their corresponding and vice versa, for those related to the F-test and R Square.

Given values of test statistics (and the appropriate additional information) the value of the noncentral values can be obtained. Likewise, given noncentral values (and the appropriate additional information) the value of the test statistic can be obtained.

Rsquare2F(R2 = NULL, df.1 = NULL, df.2 = NULL, p = NULL, N = NULL)

F2Rsquare(F.value = NULL, df.1 = NULL, df.2 = NULL)

Lambda2Rsquare(Lambda = NULL, N = NULL)

Rsquare2Lambda(R2 = NULL, N = NULL)

Arguments

• R2: squared multiple correlation coefficient (population or observed)
• df.1: degrees of freedom for the numerator of the F-distribution
• df.2: degrees of freedom for the denominator of the F-distribution
• p: number of predictor variables for R2
• N: sample size
• F.value: The obtained F value from a test of significance for the squared multiple correlation coefficient
• Lambda: The noncentral parameter from an F-distribution

Details

These functions are especially helpful in the search for confidence intervals for noncentral parameters, as they convert to and from related quantities.

Returns

Returns the converted value from the specified function.

Author(s)

Ken Kelley (University of Notre Dame, KKelley@ND.Edu )

See Also

ss.aipe.R2, ci.R2, conf.limits.nct, conf.limits.ncf

Examples

Rsquare2Lambda(R2=.5, N=100)