Accession Number:

ADA151541

Title:

On the Robustness and Efficiency of Some Randomized Designs,

Descriptive Note:

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Wu, C. F.

Report Date:

1981-01-01

Pagination or Media Count:

11.0

Abstract:

A concept of model-robustness is defined in terms of the performance of the design in the presence of model violations. The robustness problem is discussed for several randomization procedures commonly used in experimental design situations. Among them, the balanced completely randomized design, the randomized complete block design and the randomized Latin square design are shown to be model-robust in their own settings. To compare different randomization procedures, we define a concept of efficiency which depends on the particular pattern of model violations. This concept, when applied to different designs, gives results which are consistent with the intuitive grounds on which the designs are suggested. Additional keywords Minimax technique Invariance Systematic design. Author.

Descriptors:

• *EXPERIMENTAL DESIGN
• *MATHEMATICAL MODELS
• EFFICIENCY
• INVARIANCE
• MINIMAX TECHNIQUE
• SYSTEMS APPROACH

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE