Description Usage Arguments Value References
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.
1 | BGPsv(Y, A, alpha = 0.1, Nmax = 1e+05)
|
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 |
generalized CI from Park and Burdick (2004)
asymptotic CI from Burdick and Graybill (1984)
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.
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