How quantile works ?

> Hi again Serge,
>>Where are the names are coming from ? I could not find any reference about
>> that.
> same time has already passed since i made that package, but i think i mainly
> used Mathematica notation and certainly did not want to type too long names.
>
>>Mathematica use inverseCDF by default and you use modeBase instead.
>>Which one is better to use as default ?
> i am certainly the wrong person to ask. you can take a look at the paper i
> mentioned earlier, most math programs cite it (mathematica, maple, julia, r,
> national institute of standards & technology etc). the paper tests methods
> for different quality criteria: inverseCDF is not symmetric (the median
> criterium in the paper is also not fulfilled). i made modebased the default
> because its method made sense to me <g> and i like to use it. i <g>like also
> medianbased, but i think it has a somehow counterintuitive look (it is not
> used often as a default, i remember only one case).
>
>>I will do some refactoring to go in this direction if you don't mind.
> yes of course, please do that.
> werner
>
>
> On Mon, Dec 19, 2016 at 11:27 AM, Serge Stinckwich
> <[hidden email]> wrote:
>>
>> On Thu, Dec 8, 2016 at 5:44 PM, Serge Stinckwich
>> <[hidden email]> wrote:
>> > I don't understand how quantile works.
>> > When I do :
>> >
>> > #(1 2 3 4 5 6 7) asSortedCollection quantile: 1 / 4
>> >
>> > I expect to have 2 and I have 5/2.
>>
>> Ok, I was able to reproduce the same results than Mathematica :
>> http://reference.wolfram.com/language/ref/Quantile.html
>> with the inverseCDF parameter:
>>
>> #(1 2 3 4 5 6 7) asSortedCollection quantile: 1 / 4 method: 'inverseCDF'
>>
>> Mathematica use inverseCDF by default and you use modeBase instead.
>> Which one is better to use as default ?
>>
>> I see there is 8 different methods:
>> 'modeBased', 'inverseCDF', 'closestObservation', 'California' ,
>> 'hydrologist' , 'Weibull', 'medianBased', 'normalDistribution'
>> Where are the names are coming from ? I could not find any reference about
>> that.
>>
>> Instead of using String for parameters, I think this is better to use
>> a symbols to have something like:
>>
>> #(1 2 3 4 5 6 7) asSortedCollection quantile: 1 / 4 method: #inverseCDF
>>
>> I will do some refactoring to go in this direction if you don't mind.
>>
>> Regards,
>> --
>> Serge Stinckwich
>> UCBN & UMI UMMISCO 209 (IRD/UPMC)
>> Every DSL ends up being Smalltalk
>> http://www.doesnotunderstand.org/
>>
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>
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