Quote from jnpn:
Ah this made me laugh. Generating a p-value is basic statistics.
Yes, I sort of agree. We can make a few basic assumptions and then it would seem that the average return is significantly higher than zero.
Here is my basic test - I know I am not following statistical rigor to the "t" but that isn't the point. We are just trying to get an indication if an "above average" (ie, positive) result suggests significance.
There are 34 months of returns - call that "n".
The average monthly return is 8.0% and the standard deviation of monthly returns is 14.3%.
We want to know how significant the average 8.0% return is, compared to zero. The standard deviation of the *average* with 34 observations going into the average will be about 14.3% / sqrt(34) = 2.4%. So our average of 8.0% return is (8.0% / 2.4%) = 3.33 standard deviations above zero.
3.33 SDs above the mean looks pretty significant to me.
I guess the one thing that might be good to understand the role of chance here is, there was a block of returns in late '09 that was very very good. Was there one particularly strong market trend that was contributing that via intersection with the methodology? I took that string of 4 months out, leaving a sample size of 30 months. New results are:
average return (for 30 months, ie 34 - 4) = 4.7%
SD for the 30 months: 10.0%
sample size = 30, so SD of the mean = 10.0% / sqrt(30) = 1.8%
So average return is 4.7 / 1.8 = 2.61 SDs above the mean. Still pretty good.