Re: calculate plot points for a skewed distribution curve / histogram
- From: "Lou Thraki" <louthraki@xxxxxxxxx>
- Date: 23 Nov 2006 10:34:23 -0800
obiron wrote:
Hi guys, I'm hoping you can help me here.
I am trying to build a function that will allow me to plot the points
on a curve for a skewed distribution.
The curve is to predict sales volumes for a marketing campaign
I know:-
the length of the campaign in days (x-axis)
The total number of sales expected (area under the curve)
Therefore I can calculate the mean...
The largest number of sales in a given day (Modal average)
The day that this number of sales is expected to occur
The upper an lower bounds for 90% confidence factor.
as an example:-
Campaign length = 180 days
Total sales expected = 1200 units
Mean average is therefore 6.67 units per day
Maximum sales will be 30 units and this will occur on day 22
The 90% confidence factors lower bound is 7 days and the upper bound is
45 days.
So I know the graph is going to be skewed left with a very long tail.
How do I calculate the predicted sales for each day?
A beta-distribution with alpha=2.6 and beta=12.5 has its
mode at 22/180 with height 30/(1200/180) but doesn't
really have a long tail.
.
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