The coefficient of cyclic variation: A novel statistic to measure the magnitude of cyclic variation

被引:7
作者
Fulford A.J.C. [1 ,2 ]
机构
[1] MRC Keneba, MRC Unit, P.O. Box 273, Banjul
[2] MRC International Nutrition Group, Department Public Health, London School of Hygiene and Tropical Medicine, London
来源
Emerging Themes in Epidemiology | / 11卷 / 1期
基金
英国医学研究理事会;
关键词
Circular data; Coefficient of circular variation; Cosinor analysis; Periodic regression; Truncated fourier series;
D O I
10.1186/1742-7622-11-15
中图分类号
学科分类号
摘要
Background: Periodic or cyclic data of known periodicity are frequently encountered in epidemiological and biomedical research: for instance, seasonality provides a useful experiment of nature while diurnal rhythms play an important role in endocrine secretion. There is, however, little consensus on how to analysis these data and less still on how to measure association or effect size for the often complex patterns seen.; Results: A simple statistic, readily derived from Fourier regression models, provides a readily-understood measure cyclic variation in a wide variety of situations.; Conclusion: The coefficient of cyclic variation or similar statistics derived from the variance of a Fourier series could provide a universal means of summarising the magnitude of periodic variation. © 2014 Fulford; licensee BioMed Central Ltd.
引用
收藏
相关论文
共 6 条
[1]  
Nelson W., Tong Y.L., Lee J.K., Halberg F., Methods for cosinor-rhythmometry, Chronobiologia, 6, pp. 305-323, (1979)
[2]  
Fernandez J.R., Hermida R.C., Mojon A., Chronobiological analysis techniques. Application to blood pressure, Phil Trans R Soc A, 367, pp. 431-445, (2009)
[3]  
Bliss C.I., Periodic regression in biology and climatology, Bull Conn Agric Exp Station New Haven, 615, pp. 1-55, (1958)
[4]  
Cox N.J., Speaking stata: In praise of trigonometric predictors, Stata J, 6, 4, pp. 561-579, (2006)
[5]  
Fulford A.J.C., Rayco-Solon P., Prentice A.M., Statistical modelling of the seasonality of preterm delivery and intrauterine growth restriction in rural Gambia, Paediatr Perinat Epidemiol, 20, 3, pp. 251-259, (2006)
[6]  
Pewsey A., Neuhauser M., Ruxton G.D., Correlation and Regression, Circular Statistics in R, pp. 149-170, (2013)