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From O-C to SCUSUM+

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Grant Foster

American Association of Variable Star Observers, 25 Birch Street, Cambridge, MA 02138

Presented at the October 1993 Meeting

Abstract

Standard O-C (Observed-Computed) analysis assumes that the residual deviations of observed times from linearity are independent random variables. As Koen and Lombard (1993) point out, when a star's period is not constant but fluctuates about a constant mean value, this assumption leads to false confirmation that the period is changing. They supply an alternate test, CUSUM (CUmulative SUMs), which amounts to a series of scaled comparisons of "before" and "after" series averages. It can be extended by computing a separate scale factor for each individual CUSUM, yielding the SCUSUM test. This can be further extended to the SCUSUM+ test by including the effect of lag-1 correlation of the data.