conf.limits.nc.chisq: Confidence limits for noncentral chi square parameters

In MBESS: The MBESS R Package

Confidence limits for noncentral chi square parameters

Description

Function to determine the noncentral parameter that leads to the observed Chi.Square-value, so that a confidence interval for the population noncentral chi-squrae value can be formed.

Usage

conf.limits.nc.chisq(Chi.Square=NULL, conf.level=.95, df=NULL, 
alpha.lower=NULL, alpha.upper=NULL, tol=1e-9, Jumping.Prop=.10)

Arguments

Chi.Square	the observed chi-square value
conf.level	the desired degree of confidence for the interval
df	the degrees of freedom
alpha.lower	Type I error for the lower confidence limit
alpha.upper	Type I error for the upper confidence limit
tol	tolerance for iterative convergence
Jumping.Prop	Value used in the iterative scheme to determine the noncentral parameters necessary for confidence interval construction using noncentral chi square-distributions (0 < Jumping.Prop < 1)

Details

If the function fails (or if a function relying upon this function fails), adjust the Jumping.Prop (to a smaller value).

Value

Lower.Limit	Value of the distribution with Lower.Limit noncentral value that has at its specified quantile Chi.Square
Prob.Less.Lower	Proportion of cases falling below Lower.Limit
Upper.Limit	Value of the distribution with Upper.Limit noncentral value that has at its specified quantile Chi.Square
Prob.Greater.Upper	Proportion of cases falling above Upper.Limit

Author(s)

Ken Kelley (University of Notre Dame; [e-mail]); Keke Lai (University of California–Merced)

See Also

conf.limits.nct, conf.limits.ncf

Examples

# A typical call to the function.
conf.limits.nc.chisq(Chi.Square=30, conf.level=.95, df=15)

# A one sided (upper) confidence interval.
 conf.limits.nc.chisq(Chi.Square=30, alpha.lower=0, alpha.upper=.05, 
 conf.level=NULL, df=15)

MBESS documentation built on Oct. 26, 2023, 9:07 a.m.