1988
DOI: 10.1093/jnci/80.15.1198
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Regression Models in Clinical Studies: Determining Relationships Between Predictors and Response

Abstract: Multiple regression models are increasingly being applied to clinical studies. Such models are powerful analytic tools that yield valid statistical inferences and make reliable predictions if various assumptions are satisfied. Two types of assumptions made by regression models concern the distribution of the response variable and the nature or shape of the relationship between the predictors and the response. This paper addresses the latter assumption by applying a direct and flexible approach, cubic spline fu… Show more

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Cited by 801 publications
(520 citation statements)
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“…In dose-response analysis, we used the method proposed by Greenland and Longnecker (Greenland et al, 1992) and Orsini (Orsini et al, 2006) to compute the trend from the correlated Log HR estimates across categories of sleep duration. We examined a potential nonlinear doseresponse relationship between sleep durations and cancer risk by modeling sleep durations using restricted cubic splines with 3 knots at percentiles 25%, 50%, and 75% of the distribution (Harrell et al, 1988). Heterogeneity of HRs across studies was tested by Q-statistic (P<0.05 was considered indicative of statistically significant heterogeneity) and quantified by the I 2 statistic (values of 25%, 50%, and 75% were considered to represent low, medium, and high heterogeneity, respectively) (Higgins et al, 2003).…”
Section: Discussionmentioning
confidence: 99%
“…In dose-response analysis, we used the method proposed by Greenland and Longnecker (Greenland et al, 1992) and Orsini (Orsini et al, 2006) to compute the trend from the correlated Log HR estimates across categories of sleep duration. We examined a potential nonlinear doseresponse relationship between sleep durations and cancer risk by modeling sleep durations using restricted cubic splines with 3 knots at percentiles 25%, 50%, and 75% of the distribution (Harrell et al, 1988). Heterogeneity of HRs across studies was tested by Q-statistic (P<0.05 was considered indicative of statistically significant heterogeneity) and quantified by the I 2 statistic (values of 25%, 50%, and 75% were considered to represent low, medium, and high heterogeneity, respectively) (Higgins et al, 2003).…”
Section: Discussionmentioning
confidence: 99%
“…The second model assumed a linear effect of the exposure (i.e., as a continuous variable based on the estimated milligrams of prescribed glucocorticoids, with 'no prescriptions before the index date' as reference). The third model was fitted to test for a nonlinear effect by treating the exposure as a restricted cubic spline (Harre et al, 1988). Trend tests were used to evaluate the statistical significance of the effect of increasing amounts of prescribed oral glucocorticoids on the risk of these cancers (dose -response relationship).…”
Section: Discussionmentioning
confidence: 99%
“…A more informative analysis would be the Cox proportional hazards regression analysis (19), using the development of arthritis as a time-dependent covariate and the CD4 counts and stage of HIV infection included as baseline fixed covariates. Unfortunately, the size of the cohort and the limited number of uncensored observations (i.e., AIDS or death) make the application of this model problematic (20,21). Both of these statistical limitations will, we hope, be overcome with enlargement of the study cohort and extension of the observation period.…”
Section: Discussionmentioning
confidence: 99%