On the validity of Davies' test for periodicity

Details On the validity of Davies' test for periodicity On the validity of Davies' test for periodicity

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..356n&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, July 15, 1991, p. 356-359. Research supported by I

Statistics

5

Astronomical Photometry, Computerized Simulation, Null Hypothesis, Optimization, Statistical Tests, Light Curve, Stellar Magnitude, Variable Stars, White Noise

Scientific paper

Davies' test, based on the phase-dispersion minimization method, is applied to some example situations to demonstrate that it can only be employed in a limited manner. Two simulations are described in which 500 artifical data sets are generated under the null hypothesis of no periodicity to illustrate the statistical properties of Davies' test when the period is fixed and when a search for the period is conducted. It is shown that the test cannot be used to test periods that are identified by conducting a period search of the data. A nonparametric randomization test is recommended as a suitable alternative test for periodicity.

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