Is Reduction of Pocket Probing Depth Correlated with the Baseline Value or is it "Mathematical Coupling"?
Previous studies using correlation or regression analysis have showed that treatment effects measured by the change in clinical parameters are often associated with baseline values of the same parameters. These studies, however, have a methodological weakness. Correlation/regression between baseline...
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| Vydáno v: | Journal of dental research Ročník 81; číslo 10; s. 722 - 726 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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United States
SAGE Publications
01.10.2002
SAGE PUBLICATIONS, INC |
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| ISSN: | 0022-0345, 1544-0591 |
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| Abstract | Previous studies using correlation or regression analysis have showed that treatment
effects measured by the change in clinical parameters are often associated with
baseline values of the same parameters. These studies, however, have a methodological
weakness. Correlation/regression between baseline measures and the derived change
variable invalidates the statistical procedures of testing the null hypothesis: that
the coefficient of correlation/regression is zero. This is due to the phenomenon of
mathematical coupling. To investigate the impact that this has on the observed
correlation/regression coefficient when in reality this is zero, we used random
simulations of hypothetical data to model the treatment of periodontal pockets.
Results showed a strong probability of obtaining statistically significant
correlation/regression coefficients. To separate this artificial effect of
mathematical coupling from the true underlying biological relationship, one must
apply appropriate analytical strategies to re-evaluate previous evidence within the
periodontal literature. |
|---|---|
| AbstractList | Previous studies using correlation or regression analysis have showed that treatment effects measured by the change in clinical parameters are often associated with baseline values of the same parameters. These studies, however, have a methodological weakness. Correlation/regression between baseline measures and the derived change variable invalidates the statistical procedures of testing the null hypothesis: that the coefficient of correlation/regression is zero. This is due to the phenomenon of mathematical coupling. To investigate the impact that this has on the observed correlation/regression coefficient when in reality this is zero, we used random simulations of hypothetical data to model the treatment of periodontal pockets. Results showed a strong probability of obtaining statistically significant correlation/regression coefficients. To separate this artificial effect of mathematical coupling from the true underlying biological relationship, one must apply appropriate analytical strategies to re-evaluate previous evidence within the periodontal literature. Previous studies using correlation or regression analysis have showed that treatment effects measured by the change in clinical parameters are often associated with baseline values of the same parameters. These studies, however, have a methodological weakness. Correlation/regression between baseline measures and the derived change variable invalidates the statistical procedures of testing the null hypothesis: that the coefficient of correlation/regression is zero. This is due to the phenomenon of mathematical coupling. To investigate the impact that this has on the observed correlation/regression coefficient when in reality this is zero, we used random simulations of hypothetical data to model the treatment of periodontal pockets. Results showed a strong probability of obtaining statistically significant correlation/regression coefficients. To separate this artificial effect of mathematical coupling from the true underlying biological relationship, one must apply appropriate analytical strategies to re-evaluate previous evidence within the periodontal literature. Previous studies using correlation or regression analysis have showed that treatment effects measured by the change in clinical parameters are often associated with baseline values of the same parameters. These studies, however, have a methodological weakness. Correlation/regression between baseline measures and the derived change variable invalidates the statistical procedures of testing the null hypothesis: that the coefficient of correlation/regression is zero. This is due to the phenomenon of mathematical coupling. To investigate the impact that this has on the observed correlation/regression coefficient when in reality this is zero, we used random simulations of hypothetical data to model the treatment of periodontal pockets. Results showed a strong probability of obtaining statistically significant correlation/regression coefficients. To separate this artificial effect of mathematical coupling from the true underlying biological relationship, one must apply appropriate analytical strategies to re-evaluate previous evidence within the periodontal literature.Previous studies using correlation or regression analysis have showed that treatment effects measured by the change in clinical parameters are often associated with baseline values of the same parameters. These studies, however, have a methodological weakness. Correlation/regression between baseline measures and the derived change variable invalidates the statistical procedures of testing the null hypothesis: that the coefficient of correlation/regression is zero. This is due to the phenomenon of mathematical coupling. To investigate the impact that this has on the observed correlation/regression coefficient when in reality this is zero, we used random simulations of hypothetical data to model the treatment of periodontal pockets. Results showed a strong probability of obtaining statistically significant correlation/regression coefficients. To separate this artificial effect of mathematical coupling from the true underlying biological relationship, one must apply appropriate analytical strategies to re-evaluate previous evidence within the periodontal literature. |
| Author | TU Y. -K. GILTHORPE M. S. GRIFFITHS G. S. |
| Author_xml | – sequence: 1 givenname: Y.-K. surname: Tu fullname: Tu, Y.-K. organization: Department of Periodontology, Eastman Dental Institute, University College London, 256 Gray’s Inn Road, London, WC1X 8LD, UK – sequence: 2 givenname: M.S. surname: Gilthorpe fullname: Gilthorpe, M.S. organization: Department of Periodontology, Eastman Dental Institute, University College London, 256 Gray’s Inn Road, London, WC1X 8LD, UK – sequence: 3 givenname: G.S. surname: Griffiths fullname: Griffiths, G.S. organization: Department of Periodontology, Eastman Dental Institute, University College London, 256 Gray’s Inn Road, London, WC1X 8LD, UK |
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| Cites_doi | 10.1111/j.1600-051X.1997.tb00214.x 10.1902/jop.1996.67.11.1216 10.1902/jop.1994.65.2.154 10.1902/jop.2001.72.3.349 10.1111/j.1600-051X.1987.tb01510.x 10.1902/jop.1998.69.3.303 10.1111/j.1834-7819.1990.tb05405.x 10.1902/jop.1993.64.10.968 10.1097/00000658-198103000-00008 10.1111/j.1365-2842.1996.tb00898.x 10.1016/S0140-6736(96)90410-9 10.1016/0021-9681(62)90116-9 10.1152/jappl.1986.60.1.335 10.1097/00005373-199607000-00008 10.1016/S0140-6736(85)91219-X 10.1902/jop.1993.64.8.730 10.1002/sim.4780070903 10.1902/jop.1997.68.6.571 10.1002/sim.4780010109 10.1111/j.1600-051X.1989.tb01624.x 10.1378/chest.113.5.1347 |
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Research Copyright American Association for Dental Research/American Academy of Implant Dentistry Oct 2002 |
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| Keywords | regression coefficient correlation coefficient regression to the mean periodontal research |
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| SubjectTerms | Algorithms correlation coefficient Humans Likelihood Functions Models, Statistical Periodontal Pocket - therapy periodontal research Probability Regression Analysis regression coefficient regression to the mean Research Design - statistics & numerical data Statistics, Nonparametric |
| Title | Is Reduction of Pocket Probing Depth Correlated with the Baseline Value or is it "Mathematical Coupling"? |
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