• Statistics in medicine · Aug 1991

    Contradictory correlations between derived scales.

    • M J Thompson, D J Hand, and B S Everitt.
    • Faculty of Mathematics, Open University, Milton Keynes, U.K.
    • Stat Med. 1991 Aug 1; 10 (8): 1315-9.

    AbstractIn 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.

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