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#1
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Re: Offensive+Defensive Power Rankings
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The method that i proposed is to use the equation on the first post and make the N equations and N variables using that. I don't see a mathemathical problem with that. if there is one can you explain it. Thank You p.s. Actually I am pretty happy with the OPR's on the other thread. |
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#2
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Re: Offensive+Defensive Power Rankings
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Right now, we have n equations for n teams. Hence, we can use those n equations to solve for the n opr numbers for each team. If you propose we somehow use the same n equations, or the same coefficient matrix M and sum vector s to solve for both the offensive and defensive power rankings, I'd say that's quite impossible. As a general, solving for 2n variables with n equations doesn't work. In order to really get DPR numbers, I believe you either have to change the matrix and vector, to generate 2n numbers in the vector p we're solving for, or set another set of n equations in n variables to solve for the defensive power numbers. I believe the answer will actually be to set a new system of 2n equations with our 2n variables being the OPR and DPR numbers from each time. How you go about setting those equations, well, that's why they pay the pros the big bucks ![]() |
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#3
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Re: Offensive+Defensive Power Rankings
I am wondering if this would work.
for each match, red score = OPR(red1) + OPR(red2) + OPR(red3) - DRP(blue 1) - DPR(blue 2) - DPR(blue 3) blue score = OPR(blue1) + OPR(blue2) + OPR(blue3) - DRP(red1) - DPR(red2) - DPR(red3) 41 regionals * 70 matches on average * 2 = 5740 equations each equation only has 6 variables in it so i'm not sure that it would work. please let me know. also, I have not taken linear algebra yet, but I am pretty good at math |
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