Analysis of Reliability Experiments with Random Blocks and Subsampling

Reliability experiments provide important information regarding the life of a product, including how various factors may affect product life. Current analyses of reliability data usually assume a completely randomized design. However, reliability experiments frequently contain subsampling which is a restriction on randomization. A typical experiment involves applying treatments to test stands, with several items placed on each test stand. In addition, raw materials used in experiments are often produced in batches. In some cases one batch may not be large enough to provide materials for the entire experiment and more than one batch must be used. These batches lead to a design involving blocks. This dissertation proposes two methods for analyzing reliability experiments with random blocks and subsampling. The first method is a two-stage method which can be implemented in software used by most practitioners, but has some limitations. Therefore, a more rigorous nonlinear mixed model method is proposed.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Statistics

Department dc:contributor.department

Statistics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2012

Author dc:creator

• Kensler, Jennifer Lin Karam

Chair dc:contributor.committeechair

• Vining, G. Geoffrey

Committee members dc:contributor.committeemember

• Freeman, Laura J.
• Hong, Yili
• Woodall, William H.

• Design of Experiments
• Regression with Lifetime Data
• Random Effects
• Weibull Distribution

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-07262012-115414

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/28415