Temporal aggregation and the power of tests for a unit root

Andrew Snell, R Pierse

Research output: Contribution to journalArticlepeer-review

Abstract

The asymptotic local power of unit root tests with the same data span is shown to be independent of sampling frequency. A measure of the power trade-off between sampling frequency and time span for distinct alternatives is derived using an approximate slopes approach. Only small span increases are generally required to maintain power when reducing sampling frequency. Monte Carlo results support the asymptotic analysis for finite samples. An application is made to a consumption function for the UK. Cointegration of consumption and wealth is rejected with quarterly data but convincingly accepted with a longer span of annual data.
Original languageEnglish
Pages (from-to)333-346
Number of pages14
JournalJournal of Econometrics
Volume65
Issue number2
Publication statusPublished - Feb 1995

Keywords

  • unit roots
  • power
  • sampling
  • temporal aggregation

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