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I have some time-series data that I wish to test to see if a certain factor has an effect. There are few samples per time step (10 on average), but the whole time-series has 306 samples. When divided into groups based upon a factor the result is non-normal and non homogeneous. I wish to test the effect of the factor, and if possible, determine a linear trend over the time-series accounting for this effect.

To test the effect, I performed an aligned rank transform on the data, then used an ANOVA. However this does not take into account time. To do this I tried a General Linear Model on the transformed data using the factor as a fixed effect and time as a covariate. Does this sound correct?

What is the correct way to include time information in a factorial analysis when the number of samples per unit time is quite low?

Edit: Additional information:

Time Series Time Series

Factor Factor

Note: software used is SPSS, stats experience is beginner.

Download Data Here:

Data

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  • $\begingroup$ please clarify "There are few samples per time step (10 on average), but the whole time-series has 306 samples. " Actually show the data and that might help. $\endgroup$
    – IrishStat
    Commented Apr 21, 2012 at 23:27
  • $\begingroup$ Can you please present a table of values of three columns showing time , output value and factor . $\endgroup$
    – IrishStat
    Commented Apr 22, 2012 at 1:44
  • $\begingroup$ @IrishStat Rather than a table, I have provided a link to a CSV file of the data. I tried to paste in the values into this post but I would have had to format each line. $\endgroup$ Commented Apr 22, 2012 at 2:04
  • $\begingroup$ I'm not familiar with the aligned rank transform, but it seems utilizing multi level models (i.e. MIXED in SPSS command lingo) may be a fruitful approach to be able to incorporate any temporal trends (perhaps in the original units instead of the ranked units). $\endgroup$
    – Andy W
    Commented Apr 22, 2012 at 12:23
  • $\begingroup$ I have looked at the data and I am still a little confused. Are you monitoring a particular sample/item over time while applying a "factor" at each point in time or sometimes not applying a factor or maybe not even observing/recording each unique sample/item at certain points in time ? Time series analysis is the study of possible "time" effects on individual items. $\endgroup$
    – IrishStat
    Commented Apr 22, 2012 at 15:32

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