Paired comparisons

To:  Mathematics department, my former University

 

Dear professors,

I should like to thank you for your assistance with last week’s scene.

As you will recall, I hated the academic side of university – having been far busier with the various extra-curricula politicking that was so much fun. And in nearly a quarter of a century since, I can safely say I have made no use whatsoever of the mathematical or statistical techniques that you taught me.

Until Friday.

See, Lemony seemed so indecisive as to which implement hurt the most. And I recalled the idea of the ‘paired comparison’ test from my uni days.

Take five implements: belt, cane, crop, paddle, tawse. Use them in pairs (one stroke of the belt then one with the cane, say) and record which is the more effective in a matrix – ‘1’ for the winner, ‘0’ for the loser. Repeat for all ten possible combinations. Add up the scores to see the league table. Like so:

Paired comparisons

Only, there was an inconsistency in her logic, for the paddle (large, heavy) and belt (a very thick piece, folded double, purchased from Scottish saddler and erstwhile tawse-maker McRostie) tied for first place. Meaning a further test of two from each was needed, before the paddle triumphed.

To mark its victory? Twelve swats. Six hard. Three very hard. The final three very, very hard. Making a grand tally of 36 for the afternoon.

There were tears. There were hugs. There was much laughter at a lovely, lovely scene. Such fun! Although my rattan collection is traumatised by its last place, and wants a re-run with a more severe cane!

So, dear tutors, thank you for having taught me something that at long last proved useful. Twenty-four and a half years: worth the wait.

Yours faithfully,

A. Jenkins

One thought on “Paired comparisons

  • 13 December, 2013 at 12:04 pm
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    Such a fun way to use math! Surprisingly it took me 6 minutes to figure out the table (I was always good at math). Then I realised why it took me so long. I just couldn’t comprehend it is possible for a cane to lose to all the implements used in the experiment. I am shocked! Especially given the state of her bottom after the last time you used the cane on her. Could it be that:

    a) Lemony lied that cane hurts the most to avoid that fact possibly being used against her in the future

    b) You used the cane first in every comparison so it added to the pain the others caused

    c) Cane really is least painful implement

    Sound like a very nice scene! :-)

    Reply

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