BGPsv: CI calculation for the total variance parameter in a...

Description Usage Arguments Value References

Description

Consider a random-effects ANOVA model, Y_{ij}=μ+u_i+ε_{ij}, where the random-effects u_i\sim N(0,σ_a^2) and the random error components ε_{ij}\sim N(0,σ^2). We want to compute CI for the total variance parameter σ_a^2+σ^2. An asymptotic approach and a generalized pivotal test approach are implemented. See the two references.

Usage

1
BGPsv(Y, A, alpha = 0.1, Nmax = 1e+05)

Arguments

Y

observed outcomes in an ANOVA model

A

factor level

alpha

desired significance level for the confidence interval

Nmax

total number of generalized pivotal statistics to be generated

Value

GCI

generalized CI from Park and Burdick (2004)

BCI

asymptotic CI from Burdick and Graybill (1984)

References

Burdick, R.K., Graybill, F.A., 1984. Confidence intervals on linear combinations of variance components in the unbalanced one-way classification. Technometrics 26, 131–136.

Park, D.J., Burdick, R.K., 2004. Confidence intervals on total variance in a regression model with an unbalanced one-fold nested error structure. Comm. Statist. Theory Methods 33, 2735–2743.


baolinwu/IPAM documentation built on May 9, 2019, 2:21 a.m.