STATISTICAL TESTING OF MODEL HYPOTHESIS IN BINOMIAL REGRESSION

Award Information
Agency:
Department of Defense
Branch
Navy
Amount:
$192,211.00
Award Year:
1991
Program:
SBIR
Phase:
Phase II
Contract:
n/a
Award Id:
12332
Agency Tracking Number:
12332
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
7735 Old Georgetown Rd - #410, Bethesda, MD, 20814
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
Dr Gary Knott
(301) 424-0014
Business Contact:
() -
Research Institute:
n/a
Abstract
NUMEROUS MILITARILY SIGNIFICANT PROBLEMS, SUCH AS THE EVALUATION OF WEAPONS SYSTEM EFFECTIVENESS, THE SENSITIVITY AND RELIABILITY OF MUNITIONS, AND THE VULNERABILITY OF COMPLEX STRUCTURES TO SEVERE LOADING CONDITIONS, OFTEN INVOLVE THE REGRESSION OF A BINOMIAL PROPORTION (NUMBER OF SUCCESSES/NUMBER OF TRIALS) ON SOME LOADING FUNCTIONS OR QUANTITY THAT IS ASSUMED TO CHARACTERISE THE SEVERITY OF THE TRAIL ENVIRONMENT. THE PROBABILITY OF SUCCESS ESTIMATED IN THIS MANNER (AS THE MEAN OF THE BINOMIAL PROPORTION) AS WELL AS FURTHER INFERENCE, IS DEPENDENT UPON THE ASSUMED MODEL HYPOTHESIS, I.E., THE LOADING FUNCTION (OR CLASS OF FUNCTIONS) EMPLOYED AND THE CLASS OF DISTRIBUTIONS USED TO RELATE PROBABILITY OF SUCCESS TO LOADING LEVEL. THE CREDIBILITY OF ANY PREDICTION MODEL DEVELOPED IN THIS MANNER DEPENDS ON A STATISTICAL TEST OF THE MODEL HYPOTHESIS AND THE POWER OF THE TEST AGAINST ALTERNATIVE MODEL HYPOTHESES. IN PHASE I, A CHI-SQUARED-BASED GOODNESS-OF-FIT TEST FOR MODELS OF BINOMIAL FAILURE DATA WILL BE STUDIED BY SIMULATION, AND CORRESPONDING POWER AND SAMPLE-SIZE RESULTS WILL BE TABULATED AND MODELED. A NOVEL GOODNESS-OF-FIT TEST BASED ON BINARY STORAGE TREE STRUCTURES WILL BE EXPLORED. THIS TEST HAS PROMISE TO SUPERCEDE THE KOLMOGOROV-SMIRNOV TEST IN SOME CIRCUMSTANCES. IN PHASE II, THIS AND OTHER GOODNESS-OF-FIT TESTS WILL BE FURTHER DEVELOPED.

* information listed above is at the time of submission.

Agency Micro-sites


SBA logo

Department of Agriculture logo

Department of Commerce logo

Department of Defense logo

Department of Education logo

Department of Energy logo

Department of Health and Human Services logo

Department of Homeland Security logo

Department of Transportation logo

Enviromental Protection Agency logo

National Aeronautics and Space Administration logo

National Science Foundation logo
US Flag An Official Website of the United States Government