Jez Liberty on his blog explains the use of Moving Median instead of Moving Average:
[quote]â€œWhile searching for robustness, you might come across the term of robust statistical estimator: the median, for instance, is a robust measure of central tendency, while the mean (average) is not (the latter is much more sensitive to outliers).â€
Moving Median: a better indicator than Moving Average?

 Roundtable Fellow
 Posts: 98
 Joined: Fri Oct 20, 2006 2:25 pm
 Location: London, UK
Moving Median: a better indicator than Moving Average?
 Attachments

 Performance Moving Average vs Moving Median.jpg (89.44 KiB) Viewed 4660 times

 Roundtable Knight
 Posts: 123
 Joined: Tue Nov 03, 2009 8:49 am
 Location: London
 Contact:
Yes  the median calculation is a fairly bit more computerintensive, which is not a real issue nowadays, but I suspect it is one of the reasons why Moving Averages have been so much more popular than the Median (ie the computation difference was probably much more significant in the good old days of paper calculations, handheld calculators, etc. when Technical Analysis was still in its infancy, and the MA has just become legacy  an effective one at that though...)LeviF wrote:I have noticed that moving median takes quite a bit longer to calculate than an EMA.

 Roundtable Knight
 Posts: 138
 Joined: Wed Nov 10, 2004 4:36 pm
It doesn't surprise me at all that a moving median performs worse (Jez Liberty's blog post) than a moving average, in terms of a crossover system; the whole idea of robust in the context of a median is that it is resistant to change despite changes in the underlying data. This being the case, why would one expect it to be good at detecting changes in trend?
Out of curiosity I did a simple test of a rolling 45 bar median of the close (EOD) on a few randomly selected commodity futures, detailed below. The percentage figure represents the number of days over the test period in which the value of the median is exactly the same as its previous value.
S&P Emini 42.3%
Gold 45.2%
Crude Oil 39.5%
10 Yr Treasuries 44.7%
EURUSD spot forex 40.8%
Live Cattle 40.3%
Dollar Index 39.3%
Soybeans 41.1%
Corn 43.8%
Cocoa 45.7%
It's interesting to note that the median is robust in another context, namely that it is approximately equally unresponsive to change across a range of instruments.
Out of curiosity I did a simple test of a rolling 45 bar median of the close (EOD) on a few randomly selected commodity futures, detailed below. The percentage figure represents the number of days over the test period in which the value of the median is exactly the same as its previous value.
S&P Emini 42.3%
Gold 45.2%
Crude Oil 39.5%
10 Yr Treasuries 44.7%
EURUSD spot forex 40.8%
Live Cattle 40.3%
Dollar Index 39.3%
Soybeans 41.1%
Corn 43.8%
Cocoa 45.7%
It's interesting to note that the median is robust in another context, namely that it is approximately equally unresponsive to change across a range of instruments.