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- Zocker16_GTRP
Finally i had some time to translate my small empirical analysis about the level of difficulty in the Gran Turismo Series. I already postet a small part of it in a thread about the hardest license test here.
My original post was on an german GT-Board: http://community.eu.playstation.com...-Eine-kleine-empirische-Analyse/td-p/21385443
I study macro economics in Germany and so i have to work with statistics and empirical methods.
During some spare time i made a small empirical analysis about the level of difficulty in the Gran Turismo Series. Therefor i used the fastest license times of GT3,GT4,GT5 and GT6 from the GTRP-Race-Database ( http://db.gtrp.de )
To define whats "difficult" i took the gap between gold time and fastest time in the database into relation with the target gold time.
So if gold is 1:40 min = 100 sec. and the best time in the database is 1:38 min = 98 sec. the gap is -2%.
This means you can lose 1,2 seconds to the fastest one in the leaderboard every minute and still earn gold.
A number close to 0 means the license is very difficult because even the best players beat the target gold time only a bit. A large number means it´s possible to be much faster than gold, the event is quite easy. For example Gold = 50 sec. and the fastest player achieved 45 sec. the gap would be 10%.
PS: I know there are other facts that make an event difficult i just took this definition because it´s the only measurable one. But if there´s somebody who can be much faster maybe the problem is not the event, it could be you
Also most of the tests are nearly similar in every new game (brake test, single cornering etc.)
Results:
1st Chart:
The following chart shows all license test of GT3-GT6 and their "gap of difficulty"
- According to this the hardest license in GT-History since GT3 would be the A7 in GT3 with a gap of -0,87% or 0,522 sec. on 1 minute
- GT3 in fact was the hardest GT-Title with the definition of difficulty from above, also the game is getting easier with every new part.
2nd Chart:
The same chart from above but sortet by level of difficult starting with the hardest one of every game:
- you see that there are 40 license test in GT4 which are harder than the hardest in GT6.
- the easiest GT3 test ist still harder than 11 tests in GT6
- also the easiest one in GT6 is the easiest test of the whole series.
3rd Chart: Some statistical key datas:
25% Quartille: The value where 25% of the tests are harder.
So with GT4 and 80 test the 20th hardest one (with 40 tests the 10th)
- GT4 and GT5 are close, GT6 is much easier.
Median: Also called 50% Quartille, the test where 39,5 tests in GT4 are easier and 39,5 are harder
- half of the GT4 tests are harder than 4% gap
- so you can lose about 2,44 seconds on every minute you drive and still earn gold
- on GT3 this is 1% less, so the tests are about 0,5-0,6 sec a lap harder
- the hardest GT6 test is 6,9% = 4,14 sec. per minute
- GT 5 is the hardest on this key data
75% Quartille: The value where 75% of the tests are harder (so place 60 of 80 tests)
maximum and minimum gap: Think i don´t need to explain
Average: All %-gaps accumulated and divided through number of tests
Evaluation:
- 75% of GT4 tests are harder than the hardest 25% of GT6
- the average GT4 and GT5 is close
NOTE: There are not as many GT5 times in the database as GT4 times. Also the competition was harder on GT4 so it´s possible the GT5 times are not the limit and the data says it´s harder than it actually is.
If someone beats the top time of the leaderboard the gap gets bigger and the test easier after my definition.
So GT4 in fact is more difficult than GT5 even if the data says it´s close.
4th Chart:
The average gap to gold normed to 1 min:
So gold = 60 sec. ; best time = 58 sec. = 2 sec. / minute
Gold = 420 ; best time = 406 sec. = 2 sec. / minute
Blue bar shows the tests longer than 1 minute.
Red bar all tests.
Note: This chart is to show, if theres an extra time bonus for long tests. Because it´s harder to do a good lap than only nail one corner. So longer tests should be easier / have a larger gap than short ones.
- in GT3 theres such a
- in GT6 it´s the opposite, the short tests are easier than the long ones
- GT5 doesn´t have any license tests longer than 1 minute
The numbers and charts show that GT gets easier with every new part.
The license tests of GT3 are the hardest of the whole series. Sadly there are no datas of GT1 or GT2 maybe those are even harder. Also because many people think those have the hardest licenses of all GT games.
I hope all i wrote is understandable also for people without any statistical background.
Also sorry for the simple language, grammar and all mistakes
I´m happy about your feedback
PS: Even more numbers:
My original post was on an german GT-Board: http://community.eu.playstation.com...-Eine-kleine-empirische-Analyse/td-p/21385443
I study macro economics in Germany and so i have to work with statistics and empirical methods.
During some spare time i made a small empirical analysis about the level of difficulty in the Gran Turismo Series. Therefor i used the fastest license times of GT3,GT4,GT5 and GT6 from the GTRP-Race-Database ( http://db.gtrp.de )
To define whats "difficult" i took the gap between gold time and fastest time in the database into relation with the target gold time.
So if gold is 1:40 min = 100 sec. and the best time in the database is 1:38 min = 98 sec. the gap is -2%.
This means you can lose 1,2 seconds to the fastest one in the leaderboard every minute and still earn gold.
A number close to 0 means the license is very difficult because even the best players beat the target gold time only a bit. A large number means it´s possible to be much faster than gold, the event is quite easy. For example Gold = 50 sec. and the fastest player achieved 45 sec. the gap would be 10%.
PS: I know there are other facts that make an event difficult i just took this definition because it´s the only measurable one. But if there´s somebody who can be much faster maybe the problem is not the event, it could be you
Also most of the tests are nearly similar in every new game (brake test, single cornering etc.)
Results:
1st Chart:
The following chart shows all license test of GT3-GT6 and their "gap of difficulty"
- According to this the hardest license in GT-History since GT3 would be the A7 in GT3 with a gap of -0,87% or 0,522 sec. on 1 minute
- GT3 in fact was the hardest GT-Title with the definition of difficulty from above, also the game is getting easier with every new part.
2nd Chart:
The same chart from above but sortet by level of difficult starting with the hardest one of every game:
- you see that there are 40 license test in GT4 which are harder than the hardest in GT6.
- the easiest GT3 test ist still harder than 11 tests in GT6
- also the easiest one in GT6 is the easiest test of the whole series.
3rd Chart: Some statistical key datas:
25% Quartille: The value where 25% of the tests are harder.
So with GT4 and 80 test the 20th hardest one (with 40 tests the 10th)
- GT4 and GT5 are close, GT6 is much easier.
Median: Also called 50% Quartille, the test where 39,5 tests in GT4 are easier and 39,5 are harder
- half of the GT4 tests are harder than 4% gap
- so you can lose about 2,44 seconds on every minute you drive and still earn gold
- on GT3 this is 1% less, so the tests are about 0,5-0,6 sec a lap harder
- the hardest GT6 test is 6,9% = 4,14 sec. per minute
- GT 5 is the hardest on this key data
75% Quartille: The value where 75% of the tests are harder (so place 60 of 80 tests)
maximum and minimum gap: Think i don´t need to explain
Average: All %-gaps accumulated and divided through number of tests
Evaluation:
- 75% of GT4 tests are harder than the hardest 25% of GT6
- the average GT4 and GT5 is close
NOTE: There are not as many GT5 times in the database as GT4 times. Also the competition was harder on GT4 so it´s possible the GT5 times are not the limit and the data says it´s harder than it actually is.
If someone beats the top time of the leaderboard the gap gets bigger and the test easier after my definition.
So GT4 in fact is more difficult than GT5 even if the data says it´s close.
4th Chart:
The average gap to gold normed to 1 min:
So gold = 60 sec. ; best time = 58 sec. = 2 sec. / minute
Gold = 420 ; best time = 406 sec. = 2 sec. / minute
Blue bar shows the tests longer than 1 minute.
Red bar all tests.
Note: This chart is to show, if theres an extra time bonus for long tests. Because it´s harder to do a good lap than only nail one corner. So longer tests should be easier / have a larger gap than short ones.
- in GT3 theres such a
- in GT6 it´s the opposite, the short tests are easier than the long ones
- GT5 doesn´t have any license tests longer than 1 minute
The numbers and charts show that GT gets easier with every new part.
The license tests of GT3 are the hardest of the whole series. Sadly there are no datas of GT1 or GT2 maybe those are even harder. Also because many people think those have the hardest licenses of all GT games.
I hope all i wrote is understandable also for people without any statistical background.
Also sorry for the simple language, grammar and all mistakes
I´m happy about your feedback
PS: Even more numbers:
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