conf.limits.nc.chisq: Confidence limits for noncentral chi square parameters (function and documentation from package 'MBESS' version 4.4.3) 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.

Description

Confidence limits for noncentral chi square parameters (function and documentation from package 'MBESS' version 4.4.3) 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 = 0.95,
  df = NULL,
  alpha.lower = NULL,
  alpha.upper = NULL,
  tol = 1e-09,
  Jumping.Prop = 0.1
)

Value

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

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)

Author

Ken Kelley (University of Notre Dame; KKelley@ND.edu), Keke Lai (University of California--Merced)

Details

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