#### Title

Approximate Confidence-Bounds For Ratios Of Variance-Components In 2-Way Unbalanced Crossed Models With Interactions

#### Abbreviated Journal Title

Commun. Stat.-Simul. Comput.

#### Abstract

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.

#### Journal Title

Communications in Statistics-Simulation and Computation

#### Volume

20

#### Issue/Number

4

#### Publication Date

1-1-1991

#### Document Type

Article

#### Language

English

#### First Page

955

#### Last Page

967

#### WOS Identifier

#### ISSN

0361-0918

#### Recommended Citation

"Approximate Confidence-Bounds For Ratios Of Variance-Components In 2-Way Unbalanced Crossed Models With Interactions" (1991). *Faculty Bibliography 1990s*. 258.

https://stars.library.ucf.edu/facultybib1990/258

## Comments

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