Need help understanding monte carlo results

michaelsmith559

Well-known Member
Joined
Oct 6, 2013
Messages
881
Office Version
  1. 2013
  2. 2007
Here is the article to reference:
https://www.projectsmart.co.uk/docs/monte-carlo-simulation.pdf

Here is some stuff put into excel:


Excel 2003
ABCDEFGHIJKLMN
11ActivityABCDEFTotalAverage73750PercentErrorTrials
12Minimum10000150007500480020000500062300Std Dev9349s10%737514
13Maximum200001500012000620025000700085200Error73.75e9%6637.518
14Trials144627N8%590023
157%5162.530
166%442540
175%3687.558
184%295090
193%2212.5161
202%1475362
211%737.51446
220.1%73.75144627
230.01%7.37514462680
240.001%0.73751.45E+09
250.0001%0.073751.45E+11
260.00001%0.0073751.45E+13
Sheet3
Cell Formulas
RangeFormula
M12=L12*$J$11
M13=L13*$J$11
M14=L14*$J$11
M15=L15*$J$11
M16=L16*$J$11
M17=L17*$J$11
M18=L18*$J$11
M19=L19*$J$11
M20=L20*$J$11
M21=L21*$J$11
M22=L22*$J$11
M23=L23*$J$11
M24=L24*$J$11
M25=L25*$J$11
M26=L26*$J$11
N12=ROUND(((3*$J$12)/M12)^2,0)
N13=ROUND(((3*$J$12)/M13)^2,0)
N14=ROUND(((3*$J$12)/M14)^2,0)
N15=ROUND(((3*$J$12)/M15)^2,0)
N16=ROUND(((3*$J$12)/M16)^2,0)
N17=ROUND(((3*$J$12)/M17)^2,0)
N18=ROUND(((3*$J$12)/M18)^2,0)
N19=ROUND(((3*$J$12)/M19)^2,0)
N20=ROUND(((3*$J$12)/M20)^2,0)
N21=ROUND(((3*$J$12)/M21)^2,0)
N22=ROUND(((3*$J$12)/M22)^2,0)
N23=ROUND(((3*$J$12)/M23)^2,0)
N24=ROUND(((3*$J$12)/M24)^2,0)
N25=ROUND(((3*$J$12)/M25)^2,0)
N26=ROUND(((3*$J$12)/M26)^2,0)
H12=SUM(B12:G12)
H13=SUM(B13:G13)
J11=AVERAGE(H12:H13)
J12=ROUND(STDEVP(H12:H13,AVERAGE(H12:H13)),0)
J13=L22*$J$11
J14=ROUND(((3*J12)/J13)^2,0)
L22=0.001
L23=0.0001
L24=0.00001
L25=0.000001
L26=0.0000001


My question concerns interpreting the error. How would I interpret an error of 73.75? Is this the total error of the predicted average? Is it the error between the avg and median?
Another question, I notice the error decreases if you increase the trials. My next question is if you know the number of trials to run per simulation, how many simulations do you need to run?

Thanks for any help. Other questions may follow.

Mike
 

Excel Facts

Create a Pivot Table on a Map
If your data has zip codes, postal codes, or city names, select the data and use Insert, 3D Map. (Found to right of chart icons).
This part got cut off on the sheet above:


Cell Formulas
RangeFormula
M12=L12*$J$11
M13=L13*$J$11
M14=L14*$J$11
M15=L15*$J$11
M16=L16*$J$11
M17=L17*$J$11
M18=L18*$J$11
M19=L19*$J$11
M20=L20*$J$11
M21=L21*$J$11
M22=L22*$J$11
M23=L23*$J$11
M24=L24*$J$11
M25=L25*$J$11
M26=L26*$J$11
N12=ROUND(((3*$J$12)/M12)^2,0)
N13=ROUND(((3*$J$12)/M13)^2,0)
N14=ROUND(((3*$J$12)/M14)^2,0)
N15=ROUND(((3*$J$12)/M15)^2,0)
N16=ROUND(((3*$J$12)/M16)^2,0)
N17=ROUND(((3*$J$12)/M17)^2,0)
N18=ROUND(((3*$J$12)/M18)^2,0)
N19=ROUND(((3*$J$12)/M19)^2,0)
N20=ROUND(((3*$J$12)/M20)^2,0)
N21=ROUND(((3*$J$12)/M21)^2,0)
N22=ROUND(((3*$J$12)/M22)^2,0)
N23=ROUND(((3*$J$12)/M23)^2,0)
N24=ROUND(((3*$J$12)/M24)^2,0)
N25=ROUND(((3*$J$12)/M25)^2,0)
N26=ROUND(((3*$J$12)/M26)^2,0)
L22=0.001
L23=0.0001
L24=0.00001
L25=0.000001
L26=0.0000001
 
Upvote 0
I also forgot to ask: the sheet referenced above and formulas are for a normal distribution. Is there a different formula used to calculate the number of trials needed for a different probability distribution?

Mike
 
Upvote 0

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