The Analysis of Time Series: Theory and Practice

Chatfield, Christopher

doi:10.1007/978-1-4899-2925-9

Cited by 331 publications

(227 citation statements)

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“…A formal description ofautocorrelation and spectral analysis techniques, and details oftheir application, are set out in the Appendix. Detailed reviews of both methods are given by Jenkins & Watts (1968), Chatfield (1975) and Box & Jenkins (1976).…”

Section: Methodsmentioning

confidence: 99%

“…By contrast, spectral analysis examines the contribution of oscillations at different frequencies to the observed series. Spectral analysis is based on the concept of a theoretical (power) spectrum, which partitions the total variance (or power) of the series between sinusoidal components up to a maximum, directly measurable, frequency of one cycle every two observations (Chatfield, 1975).…”

Section: Spectral Analysismentioning

confidence: 99%

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Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: time series analysis

Anderson

Grenfell

May

1984

J. Hyg.

156

133

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SUMMARYThis paper uses the techniques of time series analysis (autocorrelation and spectral analysis) to examine oscillatory secular trends in the incidence of infectious diseases and the impact of mass vaccination programmes on these well-documented phenomena. We focus on three common childhood diseases: pertussis and mumps (using published disease-incidence data for England and Wales) and measles (using data from England and Wales, Scotland, North America and France). Our analysis indicates highly statistically significant seasonal and longer-term cycles in disease incidence in the prevaccination era. In general, the longer-term fluctuations (a 2-year period for measles, 3-year periods for pertussis and mumps) account for most of the cyclical variability in these data, particularly in the highly regular measles series for England and Wales. After vaccination, the periods of the longer-term oscillations tend to increase, an observation which corroborates theoretical predictions. Mass immunization against measles (which reduces epidemic fluctuations) magnifies the relative importance of the seasonal cycles. By contrast, we show that high levels of vaccination against whooping cough in England and Wales appear to have suppressed the annual cycle.

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Section: Methodsmentioning

confidence: 99%

Section: Spectral Analysismentioning

confidence: 99%

Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: time series analysis

Anderson

Grenfell

May

1984

J. Hyg.

156

133

View full text Add to dashboard Cite

show abstract

“…kasin8 · (4) e is the angle from the beam axis, 11 (x) is the first order Bessel function of the first kind, a is the transducer crystal radius and k is the wavevector modulus. The amplitude of any frequency component incident onto a small integration area is then determined by F( w), together with equation (4) ..…”

Section: Other Model Parametersmentioning

confidence: 99%

“…The amplitude of any frequency component incident onto a small integration area is then determined by F( w), together with equation (4) .. The receptivity of the receiver is calculated using an expression of the form of equation ( 4 ).…”

Section: Other Model Parametersmentioning

confidence: 99%

Modelling Ultrasonic Inspection of Rough Defects

Ogilvy

1989

Review of Progress in Quantitative Nondestructive Evaluation

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“…Trend analysis allows data to be aggregated over equal intervals in time enabling current estimates to be placed into a more meaningful historical perspective (Chatfield 1975). This enables description of the current state of play in relation to earlier outcomes (Trewin 2003).…”

Section: Introductionmentioning

confidence: 99%