# Tribute statistics

**URL:** <https://community.gemsofwar.com/t/tribute-statistics/38333>\
**Category:** Gameplay Chat (PC/Mobile)\
**Created:** [April 18, 2018, 11:44pm UTC](https://community.gemsofwar.com/t/tribute-statistics/38333 "2018-04-18T23:44:09Z")\
**Posts on this page:** 1\
**Showing post:** 27

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**Author:** ![akots](https://avatars.discourse-cdn.com/v4/letter/a/13edae/32.png) [@akots](https://community.gemsofwar.com/u/akots)\
**Post date:** [May 14, 2018, 2:33am UTC](https://community.gemsofwar.com/t/tribute-statistics/38333/27 "2018-05-14T02:33:20Z")

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> [@Courtenay](#):
>
> … Combing these figures gives 5359 kingdoms in 642 tributes, with an average of 8.35. Of the three hypotheses of what the 6% bonus means, that first, that it just a 6% increase, is completely ruled out; it is over 11 standard deviations too low. The second, that it simply adds to percent chance, so a 20% goes to 26%, is 4.7 standard deviations too high. This does not quite reach the five standard deviation threshold to rule it out completely, but it is looking pretty sick. …

Strictly speaking, it is incorrect to use standard deviation (or average as well) to describe the data as you are operating with frequencies and not the primary numbers. It might be less confusing to use median and some simple non-parametric comparison because frequencies do not follow normal distribution.

I took a liberty and checked Calv1n’s data as an example to see whether they match normal distribution and they don’t according to Shapiro-Wilk test (P=3.18E-7) or Anderson-Darling test (P=3.19E-13). I’m using real-statistics addon for Excel.

For comparison, it might be easier to simulate data with one or another assumed primary value and check which one of these simulations is a better fit for actual data.

In general, this type of frequency data for cumulative probabilities do not follow normal distribution, working as intended in this case as well.

 ![](https://us1.discourse-cdn.com/flex019/uploads/gemsofwar/original/3X/1/e/1e4bc64c6ed7ec0a7f19b4b316b8bd921d69e01a.jpg)

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