Hi,
I was wondering if it makes sense to use RP for the analysis of reaction times? The idea behind this is that some cognitive system generates a time series of reaction times and that I can reconstruct the attractor in phase space.
Three questions arise:
1. The minimal number of data points I have is 80 reaction times (the maximal number of data points I have is 200). I'm not sure if 80 data points are enough. I used the crqafunction and it seems to work (see attachment reactiontimes1), but is it theoretically sound?
2. For the above calculation of the 80 reaction times I used dimension 1 and delay 1. I'm not sure, if this is correct. In other words: Which dimension and delay to choose?
3. When I use a higher dimension the RP Quantification measures become flat or are not computed (see attachment reactiontimes2). So the only dimension where I get some useful measure is 1.
Thanks in advance
RP with reaction times: Dimension and delay

 Senior
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 Joined: Wed Feb 19, 2014 09:53
 Affiliation (Univ., Inst., Dept.): Univ. Bochum
 Location: Bochum, Germany
 Research field: Neuroscience/Psychology
RP with reaction times: Dimension and delay
 Attachments

 Calculation fo reaction times with 80 data points with delay 1 and dimension 3
 reactiontimes2.png (55.53 KiB) Viewed 5451 times

 Calculation of reaction times with 80 data points with delay and dimension of 1
 reactiontimes1.png (62.09 KiB) Viewed 5451 times
 Norbert
 Expert
 Posts: 183
 Joined: Wed Jan 4, 2006 11:03
 Affiliation (Univ., Inst., Dept.): Potsdam Institute for Climate Impact Research, Germany
 Location: Potsdam, Germany
 Location: Potsdam Institute for Climate Impact Research, Germany
Re: RP with reaction times: Dimension and delay
Hi,
I think an answer depends on your research question. For example, do you need a time resolved RQA? From your plots I can see that you divided your very short time series again in smaller chunks of length 40. This is really very short. You should know that then the statistical reliability of the RQA measures decreases very fast.
In principle, you can apply the method on such short data, but you cannot interpret the results with much confidence. It would then good to perform a significance test. The results would give you an idea how much confident you can be with the RQA results.
Embedding for such short data is not to be recommended.
You should have a look in to the literature for the significance test.
Best
Norbert
I think an answer depends on your research question. For example, do you need a time resolved RQA? From your plots I can see that you divided your very short time series again in smaller chunks of length 40. This is really very short. You should know that then the statistical reliability of the RQA measures decreases very fast.
In principle, you can apply the method on such short data, but you cannot interpret the results with much confidence. It would then good to perform a significance test. The results would give you an idea how much confident you can be with the RQA results.
Embedding for such short data is not to be recommended.
You should have a look in to the literature for the significance test.
Best
Norbert

 Senior
 Posts: 16
 Joined: Wed Feb 19, 2014 09:53
 Affiliation (Univ., Inst., Dept.): Univ. Bochum
 Location: Bochum, Germany
 Research field: Neuroscience/Psychology
Re: RP with reaction times: Dimension and delay
Thanks for the fast reply
I want as many RQA measures as possible. I chose a time window of 40 arbitrarily in this pictures, but my idea is to use the smallest value possible to get more measures. I'm not sure if I understood you correctly, is a smaller time window (e.g. 25) better or worse than a greater one?Norbert wrote: I think an answer depends on your research question. For example, do you need a time resolved RQA? From your plots I can see that you divided your very short time series again in smaller chunks of length 40. This is really very short. You should know that then the statistical reliability of the RQA measures decreases very fast.
Do you mean some permutation tests to test if a specific value is at the edge of the, e.g. DETdistribution indicating a "real" chaosorder transition?In principle, you can apply the method on such short data, but you cannot interpret the results with much confidence. It would then good to perform a significance test. The results would give you an idea how much confident you can be with the RQA results.
At what length of a time series would you recommend using an embedding dimension higher than 1?Embedding for such short data is not to be recommended.
Can you maybe recommend a paper?You should have a look in to the literature for the significance test.