Dice analyzer 1.5.1a, 1.5.1b and 1.5.1c
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- gavin_sidhu
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- Bad Speler
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- gavin_sidhu
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I love my dice.
Attacker dice distribution Defender dice distribution
1s █████████████████████████ 198 / 1264 (15.66%) █████████████████████████ 96 / 622 (15.43%)
2s █████████████████████████ 205 / 1264 (16.22%) █████████████████████████ 104 / 622 (16.72%)
3s █████████████████████████ 216 / 1264 (17.09%) █████████████████████████ 130 / 622 (20.9%)
4s █████████████████████████ 213 / 1264 (16.85%) █████████████████████████ 108 / 622 (17.36%)
5s █████████████████████████ 223 / 1264 (17.64%) █████████████████████████ 93 / 622 (14.95%)
6s █████████████████████████ 209 / 1264 (16.53%) █████████████████████████ 91 / 622 (14.63%)
Attacker dice distribution Defender dice distribution
1s █████████████████████████ 198 / 1264 (15.66%) █████████████████████████ 96 / 622 (15.43%)
2s █████████████████████████ 205 / 1264 (16.22%) █████████████████████████ 104 / 622 (16.72%)
3s █████████████████████████ 216 / 1264 (17.09%) █████████████████████████ 130 / 622 (20.9%)
4s █████████████████████████ 213 / 1264 (16.85%) █████████████████████████ 108 / 622 (17.36%)
5s █████████████████████████ 223 / 1264 (17.64%) █████████████████████████ 93 / 622 (14.95%)
6s █████████████████████████ 209 / 1264 (16.53%) █████████████████████████ 91 / 622 (14.63%)
Highest Score: 1843 Ranking (Australians): 3
- reverend_kyle
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Bad Speler wrote:for some reason, my dice analyser shows that ive won 4 out of 601 1 vs 1 battles. I know that isnt the case. Is it because the dice analyser is malfunctioning, or more likely, my computer is malfunctioning?
Hmm, mine is ok, and I've been monotoring it since the latest updates. That might of appeared when the changes have been made and you used the old dice analyzer in the new page format. Keep an eye on it, I'll test it again, but I don't think I'll find any problems right now.
"Every battle has been won before it's been fought." Sun Tzu
- Bad Speler
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I just looked through the posted results and I see represented exactly what I see in games:
Defender rolls slightly more sixes than he should! I know the question has been asked a thousand times, but isn't it possible that because of a rounding error (or some other math anomaly) that defender throws slightly more sixes?
In particular, check out zip_disk's data: > 18% 6's for defender with 2000 rolls!
I know there must be some comp sci and probability/statistics majors out there. I myself am a comp sci / EE with a little background in probability. Would lack mind posting the code in question for peer review?
Defender rolls slightly more sixes than he should! I know the question has been asked a thousand times, but isn't it possible that because of a rounding error (or some other math anomaly) that defender throws slightly more sixes?
In particular, check out zip_disk's data: > 18% 6's for defender with 2000 rolls!
I know there must be some comp sci and probability/statistics majors out there. I myself am a comp sci / EE with a little background in probability. Would lack mind posting the code in question for peer review?
"Rockin' and rollin', splishin' and a-splashin',
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
- Bad Speler
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Thanks for the post - those are much closer to what is expected!
I just added the analyzer, but it will be a long time before I get anywhere near that many rolls!
I just added the analyzer, but it will be a long time before I get anywhere near that many rolls!
"Rockin' and rollin', splishin' and a-splashin',
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
- gavin_sidhu
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Expected VS Actual Analysis
Attacker Dice Distribution
Conclusions
There are more than enough rolls for a statistcal analysis. Any sample size larger than 2000 should fall within a +/- 3% margin of error. Any sample size larger than 5000 should fall within a +/- 2% error.
The Battle Outcomes are almost within statistical margins. Defender wins twice on 3v2 3.4% less often than he should - no doubt due to rolling more 1s than expected.
The Dice Distributions listed are not within statistical margins, and defender's 1s are particularly egregious. I have to admit, I expected defenders 6s to be the problem, but I stand corrected.
While these numbers really seem to point to something being amiss with either the randomizer or the code, it may not be enough off to justify the time it would take to track it down, given the number of other important items on bugs/suggestion list.
- 2s (exp) 16.67%
2s (act) 17.09%
2.5% error
4s (exp) 16.67%
4s (act) 15.85%
4.9% error
- 1s (exp) 16.67%
1s (act) 17.74%
6.4% error
- 3v2 (exp) 37.17% / 33.58% / 29.26%
3v2 (act) 38.22% / 33.52% / 28.26%
3.4% error on 2339 rolls
3v1 (exp) 65.97% / 34.03%
3v1 (act) 65.89% / 34.11%
error within margin on 2750 rolls
(Not really enough rolls to bother with the other battle outcomes.)
Conclusions
There are more than enough rolls for a statistcal analysis. Any sample size larger than 2000 should fall within a +/- 3% margin of error. Any sample size larger than 5000 should fall within a +/- 2% error.
The Battle Outcomes are almost within statistical margins. Defender wins twice on 3v2 3.4% less often than he should - no doubt due to rolling more 1s than expected.
The Dice Distributions listed are not within statistical margins, and defender's 1s are particularly egregious. I have to admit, I expected defenders 6s to be the problem, but I stand corrected.
"Rockin' and rollin', splishin' and a-splashin',
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
This link on CC (one of many, actually) http://www.conquerclub.com/forum/viewtopic.php?t=6119 references the following table from Wikipedia:
I certainly could have made an error in transferring the numbers, or in the math, so let me know if you find anything I did wrong. The 16.67% for dice distrubution is just 100% divided by 6 possible outcomes.
I certainly could have made an error in transferring the numbers, or in the math, so let me know if you find anything I did wrong. The 16.67% for dice distrubution is just 100% divided by 6 possible outcomes.
"Rockin' and rollin', splishin' and a-splashin',
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
Over the horizon, what can it be?" - No More Kings
http://www.school-house-rock.com/King.html
- Bad Speler
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- Herakilla
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before i removed my thing after the update screwed it up, i had no yellow in those bars at all. i either won or lost outright
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