1995
DOI: 10.1016/0165-1765(94)00638-i
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Spurious deterministic seasonality

Abstract: It is sometimes assumed that the R 2 of a regression of a first-order differenced time series on seasonal dummy variables reflects the amount of seasonal fluctuations that can be explained by deterministic variation in the series. In this paper we show that neglecting the presence of seasonal unit roots may yield spuriously high values of this coefficient.

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Cited by 66 publications
(19 citation statements)
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“…Analysis of the consequences of misspecifying the seasonal structure can be found in da Silva and Artur (1999) and Franses, Hylleberg, and Lee (1995). For example, if seasonality is deterministic and seasonal differencing is applied, overdifferencing will result.…”
Section: Testing For Linearitymentioning
confidence: 99%
“…Analysis of the consequences of misspecifying the seasonal structure can be found in da Silva and Artur (1999) and Franses, Hylleberg, and Lee (1995). For example, if seasonality is deterministic and seasonal differencing is applied, overdifferencing will result.…”
Section: Testing For Linearitymentioning
confidence: 99%
“…Franses et al (1995) argue that high R 2 values may also follow from seasonal unit roots, which issue will be addressed in the next section. Even then, the dummy regressions serve as a convenient descriptive measure of the strength of seasonality in the series.…”
Section: Introductionmentioning
confidence: 99%
“…For example, when a time series exhibits seasonal unit roots, deterministic seasonality is also usually present at some extent [ see Abeysinghe (1994) and Lopes(1999), inter alia ]. Recently, Franses, Hylleberg and Lee (1995) pointed out that solely considering seasonality as deterministic while the time series is actually affected by seasonal unit roots results in spurious statistical inference. However, ignoring or avoiding deterministic seasonality in integrated time series should not be drawn from the conclusions of these authors.…”
Section: Introductionmentioning
confidence: 99%