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Left-handedness in osu

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Topic Starter
Railey2
Data was collected from this survey-thread: t/174509

The percentage of left-handed people in the general populace is somewhere around 10% (between 7% and 15%, depending on the study). However, in the thread it is 19% and that with a sample size of 407 (lower if leaving out the votes for "Both"). I strongly believe that this is not a coincidence, that there is a reason for the disproportional amount of left-handed players.


Testing statistical significance

math
SPOILER
We can calculate the probability of this being a mere coincidence, using this formula
(1 - formula)

n = 346 (sample size, aka number of people that completed the survey, not accounting for everyone who voted "both")
p = 0.15 (general probability of being left-handed)
k = 78 (number of left-handed people according to the survey)

this leaves us with a final probability of ~0.01% (the probability that the results are a coincidence). And this is using the value 0.15, which is already on the upper end of all estimates regarding the prevalence of left-handedness. If we use the more accurate value of 0.1, the probability of this being a coincidence drops far below 0.00001%.



Objections and conclusion


Objection 1: The survey is inaccurate
SPOILER
Some People in the thread interpreted the survey not as "are you left-handed or right-handed", but as "with what hand do you play?".
The consensus in the thread is that, if you interpret the question this way, the answer is determined by what hand you use to aim.
Looking at the comments, it is clear that many naturally left-handed people actually use a mouse/tablet with their right hand. On the other side, there is a lack of right-handed people that aim with their left hand. Even if you say that there is probably some right-handed people that answered left-handed, this is more than compensated for by the left-handed people that gave either "both" or "right-handed" as their answer.

Objection 2: You left out the votes for "both"
SPOILER
The people who voted for "both" are most likely the people that interpret the question as "with what hand do you play" and think to themselves: "but I use both". There is no reason to assume that people who follow this line of thought are dis-proportionally more likely to be right-handed, hence leading to their votes getting lost and tilting the ratio in favor of left-handedness.
Furthermore, even if we assume that all the 56 votes for "both" were right-handed people and increase our sample size to 402, the result would still be statistically significant. (1 - 0.9931 < 0.05)

Objection 3: It is just a coincidence
SPOILER
I addressed this through testing the statistical significance. The probability of the results being coincidental is less than 0.1%. Of course there will always be a very small chance left that exactly this probability kicked in here, but it is unreasonable to assume that it did.

Conclusion: Taking all of this into consideration, we'd expect the real k (number of left-handed people in the thread) to be even bigger than the results of the survey suggest, which further underlines the conclusion:
The observed asymmetry between left-handedness in our sample and left-handedness in the general populace is not coincidental. It is also not a result of how the survey was constructed, and not a result of an error in measurement. If we were to conduct another survey, the results would most likely be similar, possibly even more pronounced.



Questions

There is a reason for this and I wonder what it is.
- Why are left-handed people more drawn to this game?
- Is there a reason that right-handed people leave this game/don't find it in the first place?
- Maybe left-handed people that play this game are more inclined to use the forum?
- Are right-handed people prone to not answering surveys?



Possible explanations



A greater male tendency toward left-handedness and a predominantly male player-base explain the observed phenomenon

- B1rd
SPOILER
According to http://psycnet.apa.org/psycinfo/2008-11487-004 , the approximated male to female odds ratio of being left-handed, is 1.23
Considering this, the numbers of the survey-thread are a lot more likely to be caused by mere coincidence as opposed to underlying mechanisms.



Left-handedness, being correlated with increased spatial ability and reaction time, gives left-handed users an inherent advantage compared to right-handed users, subsequently making them more likely to stick with the game due to their greater success
SPOILER
The human brain has two hemispheres ("sides"), that are responsible for different things. For instance, one side is more responsible for mathematical functions, one more for verbal functions etc.
This is also known as Lateralization of Brain Function
One hemisphere of the brain is also in charge of the motor-functions of the opposing side of the body. For example, if you get brain damage in your right hemisphere your left side of the body will be more likely to lose function than your right side of the body.

Handedness supposedly gives insight in which hemisphere of the brain is more dominant. For left-handed people, this would mean that their right hemisphere is more dominant.
Interestingly, the right hemisphere is also responsible for spatial functions, such as 3D and 2D mapping.

And in fact, there are studies that found a statistically significant link between functional laterality and ability in spacial thinking.
http://www.ncbi.nlm.nih.gov/pubmed/15341431
http://www.ncbi.nlm.nih.gov/pubmed/7187636

Spacial thinking is an important part of playing this game, and an improved ability in this department is generally beneficial for performing well in osu.
I suggest that overall, left-handed people have an advantage when it comes to playing osu, which leads to them getting better faster, and quitting less frequently (explaining the results of the survey).

Further studies suggest that left-handed males have an advantage over right-handed males in terms of reaction time (no difference reported in females). Although this should only become relevant in higher levels of play, when the reaction time approaches the limits of what is humanly possible.
http://www.tandfonline.com/doi/abs/10.1 ... 0390220367




Voting is more appealing to people when their vote represents something that is generally considered interesting or unusual, causing an elevated number of left-handed people to vote in the thread.
- B1rd
SPOILER
As I mentioned before (in the last of the 4 questions I raised), it might not be valid to extrapolate the results of the survey to the general osu-playerbase. B1rd's theory claims that the phenomenon can be explained using this stance. According to him, the minority (left-handed players) is more interested in sharing their handedness than majority (right handed players). How strong this effect is, and if it explains the asymmetry completely, is open to discussion. Personally, while I think that it is a very valid point, I still believe that the asymmetry is too pronounced to be explained just by this, especially considering the points raised in objection 1. (many left-handed people voting for both and right-handed).
B1rd's theory can be challenged by selecting a random sample by hand and collecting their data directly, instead of letting the "sample choose itself"




Discuss.
Endie-
Its just a coincidence lol
I'm one of those who plays with his right hand but is left handed.
Topic Starter
Railey2

Endie- wrote:

Its just a coincidence lol
I'm one of those who plays with his right hand but is left handed.
I addressed this in Objection 1 and Objection 3. Read the spoilers.
Pituophis
Well, southpaws do have a higher risk of psychosis. Maybe there is a correlation? :P
B1rd
Or maybe it's because the minority of left-handed players would be more inclined to go into a thread to talk about what hand they use.
Topic Starter
Railey2

B1rd wrote:

Or maybe it's because the minority of left-handed players would be more inclined to go into a thread to talk about what hand they use.
This is a valid point, and I am sure that there is a bias here, where people are more likely to answer a survey when they think of themselves as being part of a minority.

I added your theory to the other one above, together with some commentary.

Personally, I doubt that it can fully explain the phenomenon, but I concede that it might as well could. There would be a way to test just how strong the effect is, but it would probably take a while.

If you happen to have a study that shows just how strong this sort of bias is in reality, we could assess if it really plays a major role in all of this
B1rd
I did my own survey by spamming a bunch of people on chat, and there were 85 right handers and 18 left handers. That's about 17.8% left handed and 82.2% right handed.

http://www.dailyinfographic.com/left-ha ... nfographic

According to this, 15% of people are left handed and men are twice and likely to be left handed. If this is true, I think the fact that it's mostly guys playing this game is the reason that there are slightly more left handers than average.
Topic Starter
Railey2
math again
SPOILER
when I run your numbers through the calculator, your survey is right at the edge of being statistically significant. (insignificant for 0.15 ~20% chance of being coincidence, ~5% for 0.125 and 0.06% for 0.1) Mind that 15% is still at the upper end of the estimates. However, there are many studies that suggest far lower values. Studies that sort people in 3 categories "left" "right" "both" end up giving values that are far under 10% for left-handedness.

Now to account for the male:female point you raised:
According to this: http://psycnet.apa.org/psycinfo/2008-11487-004 (meta analysis, over 1,700,000 people participated), the male to female odds ratio is 1.23, meaning that there is 123 left-handed males for 100 female lefties. In a mixed sample (50% males 50% females - which is what overall left-handedness studies use) the ratio to an exclusively male sample would be 1.115:1.23 (in percent, using the mixed sample as our base (1) since thats we are using straight male instead of mixed -> 1:1.103 (110 left handed people in a male sample for 100 in a mixed sample -> +10.3%)

If we assume that only males play osu, we'd have to correct the 15% by 1.545% in total ( 15%*1.103 is 16.545%) That would be the percentage we expect to find if we go by the absolute highest estimate of left-handed people and presume that only males play this game.


When we assume that everyone who plays osu is male, your survey's result has a 32% chance of being coincidental, making it statistically insignificant by a fair bit. After all, 17.8% is not far away from 16.545%. With that, your survey no longer shows a disproportional amount of left-handed players.
If I might ask, how many females did you ask in your survey? I guess it wasn't all guys, and probably far from 50:50. Can you give an approximate number?


The survey from the thread would still sit at only 0.7%, even after we assume that everyone here is male and using the highest estimate, and ignoring that many left-handed people voted for "both" or for "right" due to their playstyle.


However, this is a very strong argument and chips away at the asymmetry.

Excellent thinking on your part, added it to the top of the list. Also props for making the effort of having your own survey.


and this:
> many left-handed people voted for "both" or for "right" due to their playstyle.
is still huge.

I suspect that there is another factor at play here, but you just found a big one. Any ideas what else could be responsible?


edit: stupid maths. Stupid stupid maths
Tbh
Holy jeebus :O
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