If the test rejects the null, then it has determined that the new set of incoming data is no longer purely oscillatory in the mean reverting sense (it is now unit root and exhibits growth). Unless I misinterpreted, the OP wants to find a statistical method to determine such behavior beyond purely eyeballing the data stream. Since I assume the OP is also referring to a dynamic data stream, one could simply run the test with a sliding window and use the p result to determine if the regime is changing from mean reverting to growth.
I'm not sure how an alternate form of regression fitting says anything about the question as I interpreted it (although, hopefully the poster can respond). -- View this message in context: http://r.789695.n4.nabble.com/Detecting-Growth-Trends-tp2402080p2402347.html Sent from the R help mailing list archive at Nabble.com. ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.