Re: median function?

2001-12-11 Thread Roger I Martin PhD

Hello,

The original question from Michael is:

Is there a SQL function available for finding the median value from a
column of numbers? I see AVG() but no reference to medians. Thanks.

Does the sql AVG() skip ruled out values by some non-parametric test?  Every
SQL description of AVG() at my disposal does not discuss non-paramteric
tests or ruled out values.

Can we assume that if sql had a MEDIAN() it would not be any more
conditioned than the AVG() function?

Is the column of numbers a series of samples? If so is the median of these
samples what you want?  What is your goal? What is the situation of your
data? Are you comparing medians from different number series where the
populations have different shapes? Then neither means nor variances nor
medians may provide the proper comparative measures; and then nonparametric
methods come into play.  But if the shapes of the populations are similar
why complicate matters and make your data analysis operation system
dependent?

On the other hand, from rereading our discussion I believe Sinisa (and he
may confirm this) is correct in cautioning against implementing a median
based on its definition(which is correct) as I suggested and not regard what
you want to do with the median in context of the condition of your data.  It
can happen where statistical analysis is intended to work for a particular
condition but eventually a user may stuff in data where the analysis will
give them answers which they will use for years not knowing the underlying
analysis is not using comparative measures intended for their data's
condition.  Eventually everybody may forget how the analysis works but use
it blindly.

Regards,

Roger

- Original Message -
From: Sinisa Milivojevic [EMAIL PROTECTED]
To: [EMAIL PROTECTED]
Cc: [EMAIL PROTECTED]; [EMAIL PROTECTED]
Sent: Saturday, December 01, 2001 9:36 AM
Subject: Re: median function?


 Michael writes:
  Umm does this mean there is no way to do what I need? Is it inappropiate
  to ask if it'd be difficult for such a function to be added into MySQL
if
  it is the case that this is an impossible thing to do (or even just very
  challenging)? A median is a very common function to need in accounting I
  think. Thanks.
 
 
  *^*^*^*
  Michael McGlothlin [EMAIL PROTECTED]
  http://mlug.missouri.edu/~mogmios/projects/


 No, it is very easy to do.

 Add it as an UDF. This will not work on server running on  Windows,
 though.

 Take a look at udf_example.cc in sql/ subdir of the source. Most
 notably, analyse :

  CREATE AGGREGATE FUNCTION avgcost RETURNS REAL SONAME udf_example.so;

 --
 Regards,
__  ___ ___   __
   /  |/  /_ __/ __/ __ \/ /Mr. Sinisa Milivojevic [EMAIL PROTECTED]
  / /|_/ / // /\ \/ /_/ / /__   MySQL AB, Fulltime Developer
 /_/  /_/\_, /___/\___\_\___/   Larnaca, Cyprus
___/   www.mysql.com


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Re: median function?

2001-12-01 Thread Sinisa Milivojevic

Michael writes:
 Umm does this mean there is no way to do what I need? Is it inappropiate
 to ask if it'd be difficult for such a function to be added into MySQL if
 it is the case that this is an impossible thing to do (or even just very
 challenging)? A median is a very common function to need in accounting I
 think. Thanks.
 
 
 *^*^*^*
 Michael McGlothlin [EMAIL PROTECTED]
 http://mlug.missouri.edu/~mogmios/projects/


No, it is very easy to do.

Add it as an UDF. This will not work on server running on  Windows,
though.

Take a look at udf_example.cc in sql/ subdir of the source. Most
notably, analyse :

 CREATE AGGREGATE FUNCTION avgcost RETURNS REAL SONAME udf_example.so;

-- 
Regards,
   __  ___ ___   __
  /  |/  /_ __/ __/ __ \/ /Mr. Sinisa Milivojevic [EMAIL PROTECTED]
 / /|_/ / // /\ \/ /_/ / /__   MySQL AB, Fulltime Developer
/_/  /_/\_, /___/\___\_\___/   Larnaca, Cyprus
   ___/   www.mysql.com


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median function?

2001-11-29 Thread Michael

Is there a SQL function available for finding the median value from a
column of numbers? I see AVG() but no reference to medians. Thanks.


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Re: median function?

2001-11-29 Thread Roger I Martin PhD

Hi,

Median as a function in sql does not exests that I know of. But if you get a
resultset ordered by the column of numbers, you can then pick the median at
the row index=n/2 where n is the total number of values in the column?

Roger
- Original Message -
From: Michael [EMAIL PROTECTED]
To: [EMAIL PROTECTED]
Sent: Thursday, November 29, 2001 8:00 AM
Subject: median function?


 Is there a SQL function available for finding the median value from a
 column of numbers? I see AVG() but no reference to medians. Thanks.


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Re: median function?

2001-11-29 Thread Sinisa Milivojevic

Roger I Martin PhD writes:
 Hi,
 
 Median as a function in sql does not exests that I know of. But if you get a
 resultset ordered by the column of numbers, you can then pick the median at
 the row index=n/2 where n is the total number of values in the column?
 
 Roger

Nope .

Median depends on statistical distribution. 

There is one that is valid for sampling distribution, but there are
still many alternatives. 

This is something that could be done as an UDF.

-- 
Regards,
   __  ___ ___   __
  /  |/  /_ __/ __/ __ \/ /Mr. Sinisa Milivojevic [EMAIL PROTECTED]
 / /|_/ / // /\ \/ /_/ / /__   MySQL AB, Fulltime Developer
/_/  /_/\_, /___/\___\_\___/   Larnaca, Cyprus
   ___/   www.mysql.com


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Re: median function?

2001-11-29 Thread Roger I Martin PhD

median (Websters) 1. being in the middle; medial, middle. 2. Statistics.
Designating a point so chosen in a series that half of the individuals in
the series are on one side of it, and half on the other.  To illustrate the
distinction between median and average, suppose five persons have wages
respectively of $3, $4, $5, $7 and $11. The average wage is $6; the median
wage is $5.

What statistical distribution is going to change the median from $5? What is
the dependency?

Redundant numbers do not change the median?

Roger

P.S. In this case I prefer the max function.:)
- Original Message -
From: Sinisa Milivojevic [EMAIL PROTECTED]
To: [EMAIL PROTECTED]
Cc: [EMAIL PROTECTED]
Sent: Thursday, November 29, 2001 8:19 AM
Subject: Re: median function?


 Roger I Martin PhD writes:
  Hi,
 
  Median as a function in sql does not exests that I know of. But if you
get a
  resultset ordered by the column of numbers, you can then pick the median
at
  the row index=n/2 where n is the total number of values in the column?
 
  Roger

 Nope .

 Median depends on statistical distribution.

 There is one that is valid for sampling distribution, but there are
 still many alternatives.

 This is something that could be done as an UDF.

 --
 Regards,
__  ___ ___   __
   /  |/  /_ __/ __/ __ \/ /Mr. Sinisa Milivojevic [EMAIL PROTECTED]
  / /|_/ / // /\ \/ /_/ / /__   MySQL AB, Fulltime Developer
 /_/  /_/\_, /___/\___\_\___/   Larnaca, Cyprus
___/   www.mysql.com


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Re: median function?

2001-11-29 Thread Sinisa Milivojevic

Christopher R. Jones writes:
 Correct
 The mean (average) depends on the distribution.  If the distribution is 
 either positively or negatively skewed, then the median will not equal the 
 mean.  The median of an ordered list is the middle value if the number of 
 elements is odd.  If the number of elements is even, then the median is the 
 average of the two middle values.
 
 

Yes, this is correct, but it is still sampling  median.

On the other hand, some non-parametric test might rule out some of the
values, so we are again in the beginning.

-- 
Regards,
   __  ___ ___   __
  /  |/  /_ __/ __/ __ \/ /Mr. Sinisa Milivojevic [EMAIL PROTECTED]
 / /|_/ / // /\ \/ /_/ / /__   MySQL AB, Fulltime Developer
/_/  /_/\_, /___/\___\_\___/   Larnaca, Cyprus
   ___/   www.mysql.com


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