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Math and StatisticsStatistics and Probability

Multivariable and Multigroup Receiver Operating Characteristics Curve Analyses for Qualitative and Quantitative Analysis

Authors: Waleed M Maswadeh; A P Snyder; ARMY EDGEWOOD CHEMICAL BIOLOGICAL CENTER APG MD RESEARCH AND TECHNOLOGY DIR
Abstract:
An algorithm was developed using univariate statistics to reduce and analyze multivariate and multiple group data sets. The algorithm features the quantitative and selectivity figures of merit of receiver operating characteristics (ROC) curve methodology. This merging of two separate statistical analysis techniques resulted in the ability to address more than one variable in more than two experimental groups in a systematic fashion. The classic Fisher iris flower data set is treated as one variable and two cases at a time following conventional ROC curve methodology. Redundant, noisy, and low information containing variables are removed. The remaining information-rich variables are systematically merged using ROC curve techniques. The new algorithm using ROC curve techniques produces a master vector of down selected variables. The ROC curve technique can be used to process any data distribution whether linear or nonlinear; the inherent trend and fundamental nature of the raw data arc not compromised. No data set normalization or scaling procedures are necessary. Combining qualitative and quantitative aspects of data analysis into a univariate statistical method provides advantages in terms of algorithm understanding for the layman as well as enhanced computer efficiency and information-rich analysis.

Limitations: APPROVED FOR PUBLIC RELEASE
Description: Final rept. Dec 2009-Aug 2010
Pages: 45
Report Date: Jan 2012
Report Number: A984455
Keywords relating to this report:
ALGORITHMS
COMPUTERS
DATA BASES
DATA MANAGEMENT
DATA PROCESSING
DISTRIBUTION
EFFICIENCY
GRAPHS
GROUPS(MATHEMATICS)
IRIS
METHODOLOGY
MULTIVARIATE ANALYSIS
NORMALIZING(STATISTICS)
PATTERNS
QUALITATIVE ANALYSIS
QUANTITATIVE ANALYSIS
RECEIVERS
SCALING FACTOR
SKILLS
STATISTICAL ANALYSIS
STATISTICAL PROCESSES
TIME
VECTOR ANALYSIS
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