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I have a statistics question.
If i flip a coin it's 50/50 whether its heads or tails. The chances of flipping 2 heads in a row is 25%.
Noting the above, if i flip a head the first time, the chances of a head the second time is still 50/50 as each is independent.
Now on the FTSE, i have data which tells me based on 1000 days, (fake data btw):
# of times last nights high is broken (1 day in a row) = 500
# of times the next nights high is broken (2 days in a row) = 200
# of times the next nights high is broken (3 days in a row) = 50
# of times the next nights high is broken (4 days in a row) = 10
If we had 3 new highs in a row, what's the chance of a high on the 4th day?
20%?
I have a statistics question.
If i flip a coin it's 50/50 whether its heads or tails. The chances of flipping 2 heads in a row is 25%.
Noting the above, if i flip a head the first time, the chances of a head the second time is still 50/50 as each is independent.
Now on the FTSE, i have data which tells me based on 1000 days, (fake data btw):
# of times last nights high is broken (1 day in a row) = 500
# of times the next nights high is broken (2 days in a row) = 200
# of times the next nights high is broken (3 days in a row) = 50
# of times the next nights high is broken (4 days in a row) = 10
If we had 3 new highs in a row, what's the chance of a high on the 4th day?
I would be REALLY interested in hearing from others who have done some statistical work on their respective equity indices if they trade futures. Looking at some FTSE data and I'm kind of blown away with what I'm seeing. Note this is cash hours only, 6 years of data.
- average range 75 points, slightly higher than I expected but there is a long tail in there. 72% of days have a range of between 33 and 95 points
- yesterday's high is broken 53% of the time
- when the high is broken the average new high is 38 points (skewed by several big moves). 64% of the time the new high is 40 points or less but there were far less false break's (say 5 points or less) then i was expecting. Overall I'm surprised how bullish it is when we break y/d high.
- yesterday's low is broken 46% of the time
- when the low is broken the average new low is 47 points (skewed by several big moves). 55% of the time the new low is 40 points or less but there were far less false break's (say 5 points or less) then i was expecting. Overall I'm surprised how bearish it is when we break y/d low.
The other thing I did do was the break data into up trending vs not uptrending. Now this was just looking at the run up between 2012 and 2015 vs the rest and i was shocked that the figures/statistics above didn't really change. Perhaps this is because it was a pretty choppy run up in the FTSE or perhaps regardless of the bull/bear market the figures quoted above remain the same.
Will continue to research but woudl enjoy thoughts on other mkt's and experiences.
20%?
Just to finish this discussion.
Looking at my data again there's nothing too crazy there. In effect there is no real tell that after x days we are likely to have y happen. It's pretty much 50/50 from one day to the next.
5 up days in a row to 6 up days in a row is 16/32 = 50% for example.View attachment 70611
That's what I'm thinking as well - in the case of the market they aren't independent events? (I Think?)
These numbers look a bit too neat? It's so close to 50% even with the small sample size... probably worth a quick check of the excel formula used...
Remember the difference between probability and statistics. In a coin there's a known probability and the statistics over the long term will be the same as the probability. In social science, there is only statistics. We might imply probability from statistics but we could easily be wrong when something changes fundamentally. I think that's how lots of quant funds blow up... thinking that they are trading with probability on their side.
How does that translate to your FTSE statistics? :dunno:
Yeah still no wired net , Optus tech due today but not holding my breath , imagine they be very busy . My phone data fees will be through the roof .Did you lose Internet in the storm quant?
Yeah still no wired net , Optus tech due today but not holding my breath , imagine they be very busy . My phone data fees will be through the roof .
Ok here is a chart with the consecutive days marked , pretty plain to see that fading green looks less meaningful but as i stated above fading extremes of red consec looks to have merit with quite a few marking significant multi day swing lows once the count ends , combined with a filter or 2 i can see a distinct edge potential . Once i have my internet back i will do some explorations .
The point to consider is not the result the next day but the result over the next 5-10 days
That's a well-tested feature of markets. You get paid for taking on risk, holding while markets are closed, and get punished while taking the 'safe' route - day trading long.Here's one that threw me.
In mid 2013 something definitely changed. In effect the market has a HUGE sell bias during the cash hours then an EVEN BIGGER buy bias after the close.
Here's one that threw me.
Chart below is 6 years of FTSE daily data.
Blue line = index
Orange line = close - open (cumulative)
Grey line = open - previous close (cumulative)
By definition Orange (during the day) + Grey (during the night) = Blue (and it does)
You will find that showing up in most bull markets. In all types of instruments. Punters rushing to get in on the open after realising they should have bought yesterday or last month!
http://tremblinghandtrader.typepad.com/trembling_hand_trader/2007/07/spi.html
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