Accession Number:

AD0769841

Title:

The Comparison of Several Response Functions with a Standard.

Descriptive Note:

Research rept.,

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF STATISTICS

Personal Author(s):

• Jensen,Donald R.

Report Date:

1973-12-01

Pagination or Media Count:

22.0

Abstract:

Let B sub 0, B sub 1,...,B sub k be r-dimensional parameters associated with k1 response models of similar type. In the study the author undertakes the simultaneous comparison of B sub 1,...,B sub k against B sub 0 as standard. Variance ratio statistics are given their joint distribution is described and conservative procedures are found using Scheffe type projections onto suitable r-dimensional linear subspaces. Under further structure probability bounds for the joint distribution of the several statistics are given in terms of their marginal distributions. A numerical illustration is provided. Author

Descriptors:

• (*Statistical distributions
• Analysis of variance)
• Statistical tests
• Least squares method
• Matrices(Mathematics)
• Biometry
• Theorems
• Probability

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE