Lower Bound Confidence Intervals

Author

Julia Leigh Peck, Central Washington University

Document Type

Thesis

Date of Degree Completion

Spring 1973

Degree Name

Master of Science (MS)

Department

Mathematics

Committee Chair

William Burrage Owen

Second Committee Member

Frederick Monie Lister

Third Committee Member

David Richard Anderson

Abstract

Consider the onefold nested, equal numbers model

y_ij= μ + a_i + b_ij

where the a_i and b_ij are normally and independently distributed with zero expectations and variances o²_a and o²_b, respectively. This thesis derives a confidence interval for the external component of variance o²_a with a prescribed lower bound on the confidence coefficient. This method is compared with various approximations and with Williams' procedure [12], the only other bounded approximation. The actual confidence coefficient associated with the interval is then evaluated numerically and compared to the lower bound.

Recommended Citation

Peck, Julia Leigh, "Lower Bound Confidence Intervals" (1973). All Master's Theses. 2159.
https://digitalcommons.cwu.edu/etd/2159

Comments

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