Contradictory correlations between derived scales. 1991

M J Thompson, and D J Hand, and B S Everitt
Faculty of Mathematics, Open University, Milton Keynes, U.K.

In a clinical trial one scale of pain relief is scored backwards relative to another (high on one corresponding to low on the other), with a consequent large negative correlation. But two derived scales of total pain, obtained by multiplying average pain relief on each scale by duration of pain (common to both pain relief measurements) gave an almost zero correlation. This apparent contradiction is explained by the inverse relationship between the pain relief scales and the large differences in duration of pain experienced by the patients.

UI MeSH Term Description Entries
D008964 Molar, Third The aftermost permanent tooth on each side in the maxilla and mandible. Tooth, Wisdom,Teeth, Wisdom,Molars, Third,Third Molar,Third Molars,Wisdom Teeth,Wisdom Tooth
D010147 Pain Measurement Scales, questionnaires, tests, and other methods used to assess pain severity and duration in patients or experimental animals to aid in diagnosis, therapy, and physiological studies. Analgesia Tests,Analogue Pain Scale,Formalin Test,McGill Pain Questionnaire,Nociception Tests,Pain Assessment,Pain Intensity,Pain Severity,Tourniquet Pain Test,Visual Analogue Pain Scale,Analog Pain Scale,Assessment, Pain,McGill Pain Scale,Visual Analog Pain Scale,Analgesia Test,Analog Pain Scales,Analogue Pain Scales,Formalin Tests,Intensity, Pain,Measurement, Pain,Nociception Test,Pain Assessments,Pain Intensities,Pain Measurements,Pain Questionnaire, McGill,Pain Scale, Analog,Pain Scale, Analogue,Pain Scale, McGill,Pain Severities,Pain Test, Tourniquet,Questionnaire, McGill Pain,Scale, Analog Pain,Scale, Analogue Pain,Scale, McGill Pain,Severity, Pain,Test, Analgesia,Test, Formalin,Test, Nociception,Test, Tourniquet Pain,Tests, Nociception,Tourniquet Pain Tests
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
D002986 Clinical Trials as Topic Works about pre-planned studies of the safety, efficacy, or optimum dosage schedule (if appropriate) of one or more diagnostic, therapeutic, or prophylactic drugs, devices, or techniques selected according to predetermined criteria of eligibility and observed for predefined evidence of favorable and unfavorable effects. This concept includes clinical trials conducted both in the U.S. and in other countries. Clinical Trial as Topic
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
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D014081 Tooth Extraction The surgical removal of a tooth. (Dorland, 28th ed) Extraction, Tooth,Extractions, Tooth,Tooth Extractions

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