Efficiency robust tests of independence in contingency tables with ordered classifications. 1996

M J Podgor, and J L Gastwirth, and C R Mehta
National Eye Institute, Division of Biometry and Epidemiology, National Institutes of Health, Bethesda, Maryland 20892-2510, USA.

Ordered categorical data occur frequently in biomedical research. The linear by linear association test for ordered R x C tables permits the investigator to specify row and column scores for analysis. When an investigator believes that there may be more than one set of reasonable scores or when more than one investigator proposes scores, we need a method to decide upon a single procedure to use. We show how to use efficiency robustness principles to combine tests from two or more sets of scores into one robust test for analysis. This test minimizes the worst possible efficiency loss over all the sets of scores. We illustrate the methodology for the R x C case and, in detail, for the important special 2 x C case.

UI MeSH Term Description Entries
D007231 Infant, Newborn An infant during the first 28 days after birth. Neonate,Newborns,Infants, Newborn,Neonates,Newborn,Newborn Infant,Newborn Infants
D008268 Macular Degeneration Degenerative changes in the RETINA usually of older adults which results in a loss of vision in the center of the visual field (the MACULA LUTEA) because of damage to the retina. It occurs in dry and wet forms. Maculopathy,Maculopathy, Age-Related,Age-Related Macular Degeneration,Age-Related Maculopathies,Age-Related Maculopathy,Macular Degeneration, Age-Related,Macular Dystrophy,Maculopathies, Age-Related,Age Related Macular Degeneration,Age Related Maculopathies,Age Related Maculopathy,Age-Related Macular Degenerations,Degeneration, Macular,Dystrophy, Macular,Macular Degeneration, Age Related,Macular Degenerations,Macular Dystrophies,Maculopathies,Maculopathy, Age Related
D011247 Pregnancy The status during which female mammals carry their developing young (EMBRYOS or FETUSES) in utero before birth, beginning from FERTILIZATION to BIRTH. Gestation,Pregnancies
D012107 Research Design A plan for collecting and utilizing data so that desired information can be obtained with sufficient precision or so that an hypothesis can be tested properly. Experimental Design,Data Adjustment,Data Reporting,Design, Experimental,Designs, Experimental,Error Sources,Experimental Designs,Matched Groups,Methodology, Research,Problem Formulation,Research Methodology,Research Proposal,Research Strategy,Research Technics,Research Techniques,Scoring Methods,Adjustment, Data,Adjustments, Data,Data Adjustments,Design, Research,Designs, Research,Error Source,Formulation, Problem,Formulations, Problem,Group, Matched,Groups, Matched,Matched Group,Method, Scoring,Methods, Scoring,Problem Formulations,Proposal, Research,Proposals, Research,Reporting, Data,Research Designs,Research Proposals,Research Strategies,Research Technic,Research Technique,Scoring Method,Source, Error,Sources, Error,Strategies, Research,Strategy, Research,Technic, Research,Technics, Research,Technique, Research,Techniques, Research
D002338 Carotenoids The general name for a group of fat-soluble pigments found in green, yellow, and leafy vegetables, and yellow fruits. They are aliphatic hydrocarbons containing 4 terpene subunits. Carotenes,Carotenoid,Tetraterpene Derivatives,Tetraterpenes,Carotene,Derivatives, Tetraterpene
D002965 Classification The systematic arrangement of entities in any field into categories classes based on common characteristics such as properties, morphology, subject matter, etc. Systematics,Taxonomy,Classifications,Taxonomies
D003627 Data Interpretation, Statistical Application of statistical procedures to analyze specific observed or assumed facts from a particular study. Data Analysis, Statistical,Data Interpretations, Statistical,Interpretation, Statistical Data,Statistical Data Analysis,Statistical Data Interpretation,Analyses, Statistical Data,Analysis, Statistical Data,Data Analyses, Statistical,Interpretations, Statistical Data,Statistical Data Analyses,Statistical Data Interpretations
D005260 Female Females
D005835 Genitalia The external and internal organs involved in the functions of REPRODUCTION. Accessory Sex Organs,Genital Organs,Sex Organs, Accessory,Genital System,Genitals,Reproductive Organs,Reproductive System,Accessory Sex Organ,Genital,Genital Organ,Genital Systems,Organ, Accessory Sex,Organ, Genital,Organ, Reproductive,Organs, Accessory Sex,Organs, Genital,Organs, Reproductive,Reproductive Organ,Reproductive Systems,Sex Organ, Accessory,System, Genital,System, Reproductive,Systems, Genital,Systems, Reproductive
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man

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