R: Confidence limits for a noncentrality parameter from a...

conf.limits.nct.M1 {MBESS}

R Documentation

Confidence limits for a noncentrality parameter from a t-distribution (Method 1 of 3)

Description

Largely internal function to determine the noncentrality parameters necessary to form a confidence interval for the population noncentrality parameter and related parameters. Method 1 uses the optimize function to determine the critical values. This function requires the ncp to be positive, but the function that should be used conf.limits.nct does not.

Usage

conf.limits.nct.M1(ncp, df, conf.level = .95, alpha.lower = NULL, 
alpha.upper = NULL, min.ncp = -3 * ncp, max.ncp = 3 * ncp, 
tol = 1e-09, sup.int.warns = TRUE, ...)

Arguments

`ncp`	the noncentrality parameter (e.g., observed t-value) of interest
`df`	the degrees of freedom
`conf.level`	the level of confidence for a symmetric confidence interval
`alpha.lower`	the proportion of values beyond the lower limit of the confidence interval (cannot be used with `conf.level`)
`alpha.upper`	the proportion of values beyond the upper limit of the confidence interval (cannot be used with `conf.level`)
`min.ncp`	lower noncentral parameter from which to start the search process
`max.ncp`	lower noncentral parameter from which to start the search process
`tol`	is the tolerance of the iterative method for determining the critical values
`sup.int.warns`	Suppress internal warnings (from internal functions): TRUE or FALSE
`...`	allows one to potentially include parameter values for inner functions

Value

`Lower.Limit`	Value of the distribution with `Lower.Limit` noncentral value that has at its specified quantile `F.value`
`Prob.Less.Lower`	Proportion of the distribution beyond (i.e., less than) `Lower.Limit`
`Upper.Limit`	Value of the distribution with `Upper.Limit` noncentral value that has at its specified quantile `F.value`
`Prob.Greater.Upper`	Proportion of the distribution beyond (i.e., larger than) `Upper.Limit`

Author(s)