NAMER is used to find Bayes procedure for designing two level, fractional factorial experiments when given partial prior information. Program is written in FORTRAN 4 for IBM 7094 computer

Sidik, S. M.

English

NASA Technical Reports Server

December 1972	 B72-10726 
NASA TECH BRIEF 
Lewis Research Center 
NASA Tech Briefs announce new technology derived from the U.S. space program. They are issued to encourage 
commercial application. Tech Briefs are available on a subscription basis from the National Technical Information 
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be directed to the Technology Utilization Office, NASA, Code KT, Washington, D.C. 20546. 
Optimizing Designs of Two-Level Factorial Experiments 
Given Partial Prior Information (NAMER) 
The problem: 
To be able to compute the utility of all possible 
matchings of physical variables to design variables and 
parameters to estimators for a specified choice of 
defining parameter group or groups. 
How it's done: 
The steps of the design and performance of the 
experiment may be represented as a finite discrete game 
between the experimenter and nature. The decision 
space E, for the experimenter, consists of the choice of 
initial defining parameter group, the choice of the 
sequence or sequences of subgroups that define the 
telescoping, the choice of physical-design .variable match-
ing, and the choice of parameter-estimator matching. 
The decision space N, for nature, consists of the choice 
of which of the parameters are zero and the choice of 
the stopping point of the experiment. The Bayes 
procedure maximizes the expected utility over all 
possible distinct choices of parameter-estimator match-
ings, physical-design variable matchings, and defining 
parameter groups for an assumed strategy for nature. 
This report presents an algorithm and a computer 
program entitled NAMER which computes the expected 
utility of all possible physical-design variable matchings 
and parameter-estimator matchings for a specified choice 
of defining parameter groups. The matchings which 
maximize the expected utilities are saved and printed 
out. The computational procedure utilizes the group 
properties of the parameters and the standard ordering. 
Complete program documentation is presented including 
sample input and output and a sample problem illustra-
ting the usage, and a general flow diagram of the 
computer program. 
Notes: 
1. This program is written in FORTRAN IV to be 
utilized on the IBM-7094 computer. 
2. Inquiries concerning this program should be directed 
to:
COSMIC 
112 Barrow Hall 
University of Georgia 
Athens, Georgia 30601 
Reference: LEW-1 1708 
Patent status: 
NASA has decided not to apply for a patent. 
Source: S. M. Sidik
Lewis Research Center
(LEW-1 1708) 
The solution: 
NAMER can be used to find the Bayes procedure for 
designing two-level fractional factorial experiments when 
given partial prior information. The required prior 
S	 information is: (1) A statement for each parameter giving a prior 
probability that it is not zero; 
(2) A statement of the probability of stopping at each 
contemplated stopping point; and 
(3) A statement of the value to the experimenter of 
an unbiased estimate for each parameter. 
O
Category 09 
This document was prepared under the sponsorship of the National	 Government assumes any liability resulting from the use of the 
Aeronautics and Space Administration. Neither the United States 	 information contained in this document, or warrants that such use 
Government nor any person acting on behalf of the United States 	 will be free from privately owned rights.
S 
https://ntrs.nasa.gov/search.jsp?R=19720000725 2020-03-17T03:44:18+00:00Z


Optimizing designs of two-level factorial experiments given partial prior information (NAMER)

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