Box-Jenkins modelling in medical research

Statistical Methods in Medical Research

Volumn 5, Issue 1, 1996, Pages 3-22

  Helfenstein, Ulrich ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; INFORMATION PROCESSING; METHODOLOGY; REGRESSION ANALYSIS; RESEARCH; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS;

DATA COLLECTION; DATA INTERPRETATION, STATISTICAL; HUMANS; MODELS, STATISTICAL; REGRESSION ANALYSIS; RESEARCH; RESEARCH DESIGN; STOCHASTIC PROCESSES;

EID: 0030103494     PISSN: 09622802     EISSN: None     Source Type: Journal    
DOI: 10.1177/096228029600500102     Document Type: Article

References (46)

1. Box GEP, Jenkins GM. Time series analysis: forecasting and control, revised edition. San Francisco: Holden Day, 1976.
2. Jenkins GM. Practical experiences with modelling and forecasting time series. St Helier: Gwilym Jenkins & Partners (Overseas) Ltd., 1979.
3. Harvey AC. Time series models. Oxford: P Allan, 1981.
4. Hipel KW, McLeod AI, Lennox WC. Advances in Box-Jenkins modelling, 1. Model construction. Water Resources Research 1977; 13: 567-75.
5. McLeod AI, Hipel KW, Lennox WC. Advances in Box-Jenkins modelling, 2. Applications. Water Resources Research 1977; 13: 577-86.
6. Box GEP, Tiao GC. Intervention analysis with applications to economic and environmental problems. Journal of the American Statistical Association 1975; 70: 70-79.
7. Tiao GC, Box GEP, Hamming WJ. Analysis of Los Angeles photochemical smog data: a statistical overview. Journal of the Air Pollution Control Association 1975; 25: 260-68.
8. Tiao GC, Box GEP, Hamming WJ. A statistical analysis of the Los Angeles ambient carbon monoxide data 1955-1972. Journal of the Air Pollution Control Association 1975; 25: 1129-36.
9. Hipel KW, Lennox WC, Unny TE, McLeod AI. Intervention analysis in water resources. Water Resources Research 1975; 11: 855-61.
10. Cleveland WS. The inverse autocorrelations of a time series and their applications. Technometrics 1972; 14: 277-98.
11. Chatfield C. Inverse autocorrelations. Journal of the Royal Statistical Society, Series A 1979; 142: 363-77.
12. Helfenstein U, Ackermann-Liebrich U, Braun-Fahrländer Ch, Wanner HU. Air pollution and diseases of the respiratory tracts in pre-school children: a transfer function model. Journal of Environmental Monitoring and Assessment 1991; 17: 147-56.
13. Ljung GM, Box GEP. On a measure of lack of fit in time series models. Biometrika 1978; 65: 297-303.
14. Bartlett MS. Some aspects of the time-correlation problem in regard to tests of significance. Journal of the Royal Statistical Society 1935; 98: 536-43.
15. Box GEP, Newbold P. Some comments on a paper of Cohen, Gomme and Kendall. Journal of the Royal Statistical Society, Series A 1979; 134: 229-40.
16. Haugh LD. Checking the independence of two covariance-stationary time series: a univariate residual cross-correlation approach. Journal of the American Statistical Association 1976; 71: 378-85.
17. Haugh LD, Box GEP. Identification of dynamic regression (distributed lag) models connecting two time series. Journal of the American Statistical Association 1977; 72: 121-30.
18. Anon. Europe's river Rhine has suffered one of the worst chemical spills ever. Environmental Science and Technology 1987; 21: 5.
19. Anon. A fishy smell in Basle. Lancet 1987; i: 95.
20. Capel PD, Giger W, Wanner O. Accidental input of pesticides into the Rhine river. Environmental Science and Technology 1988; 22: 992-97.
21. Helfenstein U, Ackermann-Liebrich U, Braun-Fahrländer Ch, Wanner HU. The environmental accident of 'Schweizerhalle' and respiratory diseases: a time series analysis. Statistics in Medicine 1991; 10: 1481-92.
22. Ackermann-Liebrich U, Braun Ch, Rapp RC. Epidemiologic analysis of an environmental disaster: the Schweizerhalle experience. Environmental Research 1992; 58: 1-14.
23. Crabtree BF, Ray SC, Schmidt PM, O'Connor PJ, Schmidt DD. The individual over time: time series applications in health care research. Journal of Clinical Epidemiology 1990; 43: 241-60.
24. Helfenstein U. When did a reduced speed limit show an effect? Exploratory identification of an intervention time. Accident Analysis and Prevention 1990; 22: 79-87.
25. Katzoff M. The application of time series forecasting methods to an estimation problem using provisional mortality statistics. Statistics in Medicine 1989; 8: 353-62.
26. Schnell D, Zaidi A, Reynolds G. A time series analysis of gonorrhea surveillance data. Statistics in Medicine 1989; 8: 343-52.
27. Zaidi A, Schnell D, Reynolds G. Time series analysis of syphilis surveillance data. Statistics in Medicine 1989; 8: 353-62.
28. Watier L, Richardson S, Hubert B. A time series construction of an alert threshold with application to 5. bovismorbificans in France. Statistics in Medicine 1991; 10: 1493-509.
29. Box GEP, Tiao GC. Comparison of forecast and actuality. Applied Statistics 1976; 25: 195-200.
30. Bhattacharyya MN, Layton AP. Effectiveness of seat belt legislation on the Queensland Road Toll. An Australian case study in intervention analysis. Journal of the American Statistical Association 1979; 74: 596-603.
31. Gruchow HW, Rimm AA, Hoffmann G. Alcohol consumption and ischemic heart disease mortality: are time series correlations meaningful? American Journal of Epidemiology 1983; 118: 641-50.
32. Chatfield C. The analysis of time series: an introduction, fourth edition. London: Chapman and Hall, 1989.
33. Helfenstein U. Detecting hidden relations between time series of mortality rates. Methods of Information in Medicine 1990; 29: 57-60.
34. Abraham B, Ledolter J. Statistical methods for forecasting. New York: John Wiley, 1983.
35. Haines LM, Munoz WP, Van Gelderen CJ. ARIMA modelling of birth data. Journal of Applied Statistics 1989; 16: 55-67.
36. Bowie C, Prothero D. Finding causes of seasonal diseases using time series analysis. International Journal of Epidemiology 1981; 10: 87-92.
37. Murphy MFG, Campbell MJ. Sudden infant death syndrome and environmental temperature: an analysis using vital statistics. Journal of Epidemiology and Community Health 1987; 41: 63-71.
38. Derriennic F, Richardson S, Mollié A, Lellouch J. Short-term effects of sulphur dioxide pollution on mortality in two French cities. International Journal of Epidemiology 1989; 18: 186-97.
39. Helfenstein U. Box-Jenkins modelling of some viral infectious diseases. Statistics in Medicine 1986; 5: 37-47.
40. Choi K, Thacker SB. An evaluation of influenza mortality surveillance, 1962-1979. I. Time series forecasts of expected pneumonia and influenza deaths. American Journal of Epidemiology 1981; 13: 215-26.
41. Lassare S, Tan SH. Evaluation of safety measures on the frequency and gravity of traffic accidents in France by means of intervention analysis. In: Anderson OD ed. Time series analysis, theory and practice 1. Amsterdam: North-Holland Publishing Company, 1982: 297-306.
42. Martinez-Schnell B, Zaidi A. Time series analysis of injuries. Statistics in Medicine 1989; 8: 1497-508.
43. Sali GJ. Evaluation of Boise selective traffic enforcement project. Transportation Research Report 1983; 910: 68-74.
44. Amick DR, Marshall PB. Evaluation of the Bonneville County, Idaho, DUI accident prevention program. Transportation Research Report 1983; 910: 81-93.
45. Harvey AC, Durbin J. The effects of seat belt legislation on British road casualities: a case study in structural time series modelling (with Discussion). Journal of the Royal Statistical Society, series A 1986; 149: 187-227.
46. Tsouros AD, Young RJ. Applications of time series analysis: A case study on the impact of computer tomography. Statistics in Medicine 1986; 5: 593-606.