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Timeframes are not created Equal



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Basic tenets:

-    The markets are fractal
-    Multiple timeframes are important to assist in staying with a larger
timeframe trend than that timeframe one is trading.

Observation:

-    The look of the bars for different timeframes is different (c.f., eod
bars vs. 5 min bars vs. 30 min bars)
-    This difference in "look" is a function of specific characteristics of
bars that may be specified as mathematical expressions.  (How can this point
be stated more accurately and clearly?)

Proposition:

-    The same system backtested on different timeframes will have varying
results partially because the system will turn out to be better or worse at
leveraging the opportunities implicit in a specific timeframes bar
characteristics/expression list.

Question:

-    What are the specific mathematical expressions that, taken as a set,
account for the difference in "look" across timeframes?

Untested First Cut at the Expression List:

-    Average True Range of timeframe 1 for last x number of bars / Average
range of price intersection at timeframe 1 from bar to bar for last x number
of bars
-    Average True Range of timeframe 1 for last x number of bars / Average
True Range at Timeframe 2 of last x number of bars (there is a proportionate
relationship between Timeframe 1 and 2, c.f., Elder's "Factor of Five")

Thoughts about this expression list?  What didn't I get right?  What have I
missed?

Anyone know of writing in the public domain on this topic?  (Crabel is
getting at this for eod right?  But has anyone written a cross-timeframe
study?)

Steven Buss
Walnut Creek, CA
sbuss@xxxxxxxxxxx
"There's nothing more practical than good theory."