foxwood wrote: ↑Tue Oct 30, 2018 10:44 pm
To me his formula makes sense since it means he's saying he believes all the front money is genuine, only half of the second tranche is real and only a quarter of the third amount real as well. Probably a better analysis of the real money than forcing an arbitrary total of 1 which ends up disregarding 40% of the money on offer at the front.
hi foxy, will respectfully agree to differ on this one
. What i'm using is a weighted mean formula which (as it says on the tin), gives uplift to certain values and downplays other values. if the sum were taken as a straight value as per:
A = (back_amount1) + (back_amount2) + (back_amount3)
.... then, each component of this sum would receive a 33.333 (to infinity - and beyond - lol) weighting in the calculation. This is based on the concrete number of entries being analysed (in this case 3) and apportioned out across each to give an equal weighting. We don't natuarally SEE this as being weighted as each component is of equal *weight*. However, if we were being techically correct, it would be thought of as:
A = (back_amount1 * 0.33333333) + (back_amount2 * 0.33333333) + (back_amount3 * 0.33333333)
If all the weights are equal, then the weighted mean equals the arithmetic mean (the regular “average” you’re used to). You can think of each number contributing 1/3 to the total mean (as there are 3 numbers in the set).
Right, as for my pathetic effort
. My proposal was that far from degrading the 1st entry by 40%, we'd be uplifting its weight from 33.333% to 60%, thus giving it a net additional strength of 26.66%. This therefore allows us to fiddle around with weightings as long as the sum total of the weightings is constrained to 1 (which is our natural). This is known as compensating for bias. In BetScalpers case, he wants to push the spoof money out of focus.
So, referring back to said effort:
A = (back_amount1 * 0.60) + (back_amount2 * 0.25) + (back_amount3 * 0.15)
In effect, we're giving back_amount1 more than double (2.4 times) the strength of back_amount2... etc. Each of these decimal weightings is called a weighting factor and can be applied in any fashion as long as the sum of the factors adds up to 1. Thus, the spoof money (back_amount3) contributes only 15% to the perceived strength of the WOM.
It's an interesting topic (weighting) and I believe that the settings for WOM in BA actually follow a similar pattern, with the defaults being set to 34,33,33.
Sorry to grab our old friend mr google into the mix but these may help to explain far better than my example:
https://www.statisticshowto.datascience ... hted-mean/
https://www.statisticshowto.datascience ... ng-factor/
https://en.wikipedia.org/wiki/Weighted_arithmetic_mean
Anyway, I ramble too much - hope this makes sense.