Approximate Confidence-Bounds For Ratios Of Variance-Components In 2-Way Unbalanced Crossed Models With Interactions
Title - Alternative
Commun. Stat.-Simul. Comput.
Consider the general unbalanced two-factor crossed components-of-variance model with interaction given by Y(ijk) = mu + A(i) + B(j) + C(ij) + E(ijk) (i = 1,2,...a; j = 1,...,b;k = 1,...n(ij) greater-than-or-equal-to 0) A(i),B(j),C(ij) and E(ijk) are independent unobservable random variables. Also A(i) approximately N(0, sigma-A2),B(j) approximately N(0, sigma-B2), C(ij) approximately N(0, sigma-C2) and E(ijk) approximately N(0, sigma-E2). In this paper approximate confidence bounds are obtained for rho-A = sigma-A2/sigma-2 and rho-B = sigma-B2/sigma-2 (where sigma-2 = sigma-A2 + sigma-B2 + sigma-C2 + sigma-E2) for special cases of the above model. The balanced incomplete block model is studied as a special case.
Communications in Statistics-Simulation and Computation
Kazempour, M K. and Graybill, F A., "Approximate Confidence-Bounds For Ratios Of Variance-Components In 2-Way Unbalanced Crossed Models With Interactions" (1991). Faculty Bibliography. 1300.