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Percentage of World Records

Posted: March 17th, 2006, 1:40 am
by johnlvs2run
I have revised the % of World Records, AKA %WR PWR, PAT, PATT and calling this the PERathlon - as the scores are based on Performance. Specifically, the scores are based on the 2k World Records, for the women's and men's lightweight and heavyweight divisions.

1) Originally, all scores were calculated directly from the 4 open world records, based on 100% of the WR's for each age, gender, and weight class. Distances less than 2k had higher percentages, and longer distances had lower ones.

2) This was followed by conversion factors to equalize the distances and it became possible for each event to be based on a 100% world record percentage. These conversion factors are still used.

3) Now I have equalized the 4 open divisions, and eliminated the differences between them. I have calculated Perathlon ratios based on the 4 open world records, for each of the 4 divisions, from age 12 through age 95.

4) The final result is that the same percentage will be used for each age, regardless which of the 4 world records it is based on.

For example, Luanne Mills' 8:00.0 for the 2k at age 65 is 86.81% of Lisa Schlenker's 6:56.7 lightweight open World Record.. Because this 86.85% fits the top of the world record curve, this ratio becomes the 100 percent Perathlon score possible for age 60. And this ratio is the same for all women and men of age 60.

Posted: March 17th, 2006, 1:45 am
by johnlvs2run
As further example, here are the 4 age category World Records for age 60 and above.

60+
lwt Ingrid Petersen Denmark . . . . . . . 7:48.6 . . . 8892
hwt Mies Bernelot Moens Netherlands . 7:33.1 . . . 8572
lwt Lyle Parker Australia . . . . . . . . . . . 6:46.6 . . . 8918
hwt Paul Hendershott U.S.A. . . . . . . . . 6:23.7 . . . 8783

7:48.6 is 88.92% of the women's lwt WR of 6:56.7
7:33.1 is 85.72% of the women's hwt WR of 6:28.4
6:46.6 is 89.18% of the men's lwt WR of 6:02.6
6:23.7 is 87.83% of the men's hwt WR of 5:37.0

As Lyle Parker's ratio of .8918 is the highest, it becomes the standard for all 4 divisions for age 60.

Posted: March 17th, 2006, 1:51 am
by johnlvs2run
Now it is possible to equalize these percentages across all 4 divisions.

This is done by utilizing the highest ratio of the 4 divisions, in this case .8918.

The resulting percentages are used to construct a curve, with all of the 2k world records for the 4 divisions and age groups. This shows an accurate determination of world record times for the entire age range and through all 4 divisions.

Should .8918 be at the top of the world record curve for age 60, then all 4 divisions will be based on this same ratio as the others for age 60.

Posted: March 17th, 2006, 1:55 am
by johnlvs2run

Posted: March 17th, 2006, 1:56 am
by johnlvs2run

Posted: March 17th, 2006, 3:38 pm
by Ben Rea
i dont get how you figure out the percentages....?

Posted: March 17th, 2006, 4:41 pm
by johnlvs2run
They are based on the 4 open World Records, for lightweight and heavyweight women and men.

For example, the men's open lightweight World Record is 6:02.6 by Elia Luini.

Lyle Parker's 6:46.6 at age 60 is .8918 of the 6:02.6 by Luini.

6:02.6 / 6:46.6 = 362.6 / 406.6 = 89.18%

If .8918 is determined to be at the top of the world record curve for age 60, then Parker's 6:46.6 would be .8918 / .8918 = a 100.00 PERathon score for his age.

Posted: March 17th, 2006, 4:45 pm
by johnlvs2run
Rather than calculating a 100% 2k score for each age, these world record percentages can be listed in a table, with one Perathlon Ratio for each age.

Then the Perathlon scores can be easily calculated, not only for the 2k but also for every other event.

Posted: March 17th, 2006, 5:00 pm
by johnlvs2run

Posted: March 17th, 2006, 5:57 pm
by johnlvs2run

Posted: March 17th, 2006, 6:24 pm
by johnlvs2run

Posted: March 17th, 2006, 7:06 pm
by johnlvs2run
The Perathlon Age Ratios have been revised as of June 12, 2007 and will be published soon.

Posted: March 17th, 2006, 8:08 pm
by PaulH
John Rupp wrote:This second curve stands well with the times actually done, as there are no performances than are higher than the curve. This shows that this second curve is a true PWR standard, for ages 35 through 53.
I don't want to get in your way, because you seem to be having a lot of fun, but that statement is utterly without basis. That no performance has reached the level of the curve you've rather arbitrarily decided upon does not prove that it's a 'true PWR standard'; it could just as easily mean it's an overly inflated standard, an artifact of your data selection, or a coincidence.

Cheers, Paul

Posted: March 17th, 2006, 9:13 pm
by johnlvs2run
For comparison, the Nonathlon gives Dean Smith 1070 points for his 7:29.3 2k at age 79. What is this 1070 related to? Other performances? It is difficult to tell as no criteria for the scores is disclosed. If they are based on World Records, then Dean Smith has accomplished the impossible, by rowing a full 7 percentage points above a World Record standard! That is like Elia Luini rowing a 5:38.9 for the 2k as a lightweight, or Matthias Siejkowski rowing a 5:15.0, but neither of these are going to happen nor have they.

I like the Nonathlon. It's a very nice system and arrangement. However, the scores are overinflated, and are not equitable across age, weight class, and gender. Some of the scores are way too high and others are too low.

Is the Perathlon also over inflated? Let's take a realistic look and find out.

Dean Smith's time of 7:29.3 at age 79 is .8070 of Elia Luini's men's lightweight record. Dividing this by the age 79 PWR of 80.70 gives him a PERathlon score of 100.00. This is right on the mark, and neither other inflated nor under. You can't get any closer than this! And it is certainly closer than a 7 percent difference.

Posted: March 17th, 2006, 9:21 pm
by johnlvs2run