Summary
Figure 1 upper graph shows a plot of data suggesting a curvilinear rather than linear relationship between the x- and y-values. Polynomial regression analysis or Fourier analysis can be used to study these data. Polynomial analysis is an extension of simple linear regression, where a model is used to allow for the existence of other kinds of systematic dependence of the independent y variable (blood presure) on the dependent x variable (time).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
6. References
Owens P, Lyons S, O’Brien E. Ambulatory blood pressure in hypertensive population: patterns and prevalence of hypertensive subforms. J Hypertens 1998; 16: 1735–1745.
Zanchetti A. Twenty-four-hour ambulatory blood pressure evaluation of antihypertensive agents. J Hypertens 1997; 15: S21–S25.
Omboni S, Parati G, Palatini P, Vanasia A, Muiesan ML, Cuspidi C, Mancia G. Reproducibility and clinical value of nocturnal hypotension: prospective evidence from the SAMPLE study. J Hypertens 1998; 16: 733–738.
Bleniaszewski L, Staessen JA, Byttebier G, De Leeuw PW, Van Hedent T, Fagard R. Trough-to-peak versus surface ration in the assessment of antihypertensive agents. Blood Press 1997; 4: 350–357.
Van de Luit L, Van der Meulen J, Cleophas TJ, Zwinderman AH. Amplified amplitudes of circadian rhythms and nighttime hypotension in patients with chronic fatigue syndrome; improvement by inopamil but not by melatonin. Eur J Intern Med 1998; 9: 99–103.
Van de Luit L, Cleophas TJ, Van der Meulen J, Zwinderman AH. Nighttime hypotension in mildly hypertensive patients prevented by beta-blockers but not by ACE-inhibitors or calcium channel blockers. Eur J Intern Med 1998; 9: 251–256.
O’Brien E, Atkins N, Staessen J. State of the market, a review of ambulatory blood pressure-monitoring devices. Hypertension 1995; 26: 835–842.
Hays WL. Curvilinear regression. In: Hays WL, Statistics, Holt, Rinehart and Winston, Inc, Chicago, 4th edition, 1988, pp 698–716.
SPSS. Statistical Software. Professional Statistics. Chicago, Ill, 1996.
Harvard Graphics-3. Statistical Software. Boston MA, Harvard, Inc, 1995.
Scheidel B, Lemmer B, Blume H. Influence of time of day on pharmacokinetics and hemodynamic effects of beta-blockers. In: Clinical Chronopharmacology. Munich, Germany: Zuckschwerdt Verlag, 1990; vol 6: 75–79.
Lemmer B, Scheidel B, Behne S. Chronopharmacokinetics and chronopharmacodynamics of cardiovascular active drugs: propranolol, organic nitrates, nifedipine. Ann NY Acad Sci 1991; 618: 166–171.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Cleophas, T.J., Zwinderman, A.H., Cleophas, T.F. (2002). Curvilinear Regression. In: Statistics Applied to Clinical Trials. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0337-7_10
Download citation
DOI: https://doi.org/10.1007/978-94-010-0337-7_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0570-1
Online ISBN: 978-94-010-0337-7
eBook Packages: Springer Book Archive