grizgrin wrote:Hey all. I am looking at dice apps for some upcoming Apoc action. My opponent and I have agreed to be open to the use of an app seeing as how we both will have access on a tablet. The reason for using the app is we are planning a 20k/side Orks vs Tyranids game; the kind of dice rolling we are going to see is going to be just silly.
My question is what kind of statistics in my analysis should I bother looking at while I put this thing through its paces? Don't need to look at outliers because all the results will be within set parameters. Standard deviation will be nice to see; I'll be looking at it for some wander to indicate possible problems with the RNG. Basic distribution of course. Any other suggestions?
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Also, if anyone has any suggestions on a particular app they use, I'm all ears. Mostly where I see the potential for time being sucked up by physically rolling large numbers of dice is in counting up your distribution. Something that makes the rolls and shows how many of each number came up would be the best, other functionalities would be nice but secondary.
Here is a standard "goodness of fit" test. (Full statistics test)
Roll the dice however many times you think you should, count up the number for each number you get.
These are your observed Values.
Calculate what each number should be. (Divide the number of times you rolled the dice by 6)
For each number, Subtract the observed from the predicted. Square it, and then divide by the predicted.
Add resulting number up, until you've done it for all six numbers.
Now, go to the internet and look up the Chi Squared table.
Look up the column labeled 0.95 and the row labeled 5.
Compare the number you calculated to the number retrieved from the table.
If the number you calculated is LARGER, then conclude that the app is not balanced.*
*As with all statistics, the more dice you roll, the more accurate this test is.