| Every year the debates rage, as fans look over the final standings 
              of the NFL regular season. Were the top teams' records inflated 
              by feasting on poor teams? Did teams with lesser records show their 
              mettle against tough schedules? Were some legitimately good teams 
              left out of the playoffs, while others who made it were less deserving? 
              The arguments go round and round, usually with little to back them 
              but a homer's instincts and a concentration on just a few results.
 
 In order to sort out the performances on a rational basis, for the 
              last couple years I've borrowed the RPI system of ranking the NCAA 
              basketball teams, based on their own wins, the wins of their opponents, 
              and the wins of their opponents' opponents. The results are weighted 
              and combined, and yield a blend of schedule strength and positive 
              outcomes (ie, victories) to separate the lions of the gridiron from, 
              well, the gridiron Lions.
 Here's how it breaks down: each team plays 16 games and collects 
                anywhere from zero to 16 wins. That win total translates to a 
                percentage of the possible wins, which we all recognize as "winning 
                percentage." New England paced the field with 14 wins, followed 
                closely by the Chiefs and a host of teams with 12 wins. Because 
                this is the only set of outcomes that the teams are able to control 
                themselves (ie, it's within their power to increase their win 
                total if they play better), this percentage should be heavily 
                weighted in the power ratings. After all, the idea is to win your 
                games, right?  But 16 games isn't much of a sample, and you can't really say 
                too much about the difference between the Patriot's 14-2, and 
                say, the Eagles' 12-4. Is 125 percentage points a big gap? It's 
                hard to rely on the significance of that difference by itself, 
                but any discussion of power starts with your ability to win, so 
                we assign a weight of 35.5% to the base win percentage.  We also need to go deeper and see how their opponents fared in 
                their own games, to see whether one team played a relatively tougher 
                slate of games against better opponents. For each team, we compile 
                the win total of all 16 teams played during the season, to come 
                up with an opponents' win total, out of a possible 256 (16 opponents 
                times 16 games). The Chiefs' opponents won a total of 107 games 
                between them, for an opponent win % of .418--not so good, and 
                in fact the worst in the NFL. This is what I would call a bad 
                sign. So long as I've been doing this, the RPI system has exposed 
                a team that didn't actually belong. Last year, the lowest opponent 
                win % was posted by the Packers, who promptly got shellacked by 
                Michael Vick and the Falcons. By contrast this year, the Dolphins--a 
                team with three fewer wins than Kansas City--faced opponents who 
                posted 131 wins, or .512. A team with 10 wins is sitting at home, 
                and you wonder if the Chiefs will perform as expected in the second 
                round of the playoffs.  The opponents' win percentage can be skewed by the presence of 
                very good or very bad teams within one's own division. Both the 
                Titans and the Colts had percentages that suffered some from having 
                Houston and Jacksonville in their division--although only to an 
                extent, as the former two are in the overall top three. Similarly, 
                Houston and Jacksonville gets boosts to their power ranking by 
                benefiting from the high win totals of their divisional betters. 
                Still, these numbers, while less volatile in their range than 
                basic win totals, are subject to small sample sizes (only 256 
                games). So we assign a weight of 30% to this percentage. Finally we go even deeper into the numbers, and record the winning 
                percentage of the opponents of the opponents played in a season. 
                This yields a sample of 4096 games for each team, which is plenty 
                to minimize statistical error. These numbers are, like opponent 
                win percentage, out of a team's control, but because there are 
                so many games to review, noticeable differences between teams 
                are more likely to be significant. Thus, we will weight these 
                final figures 34.5%--not as high as the base win percentage, but 
                more than opponent win pct.  To compute the power rating, first all the wins must be equalized. 
                Because there are so many fewer games in a 16-game sample, than 
                the 4096-game sample of OO Wins, a difference of just one win 
                in a 16 game season can disproportionately skew the results. Therefore, 
                each win must be multiplied by its proportion of all possible 
                wins in the sample. For base wins, the number is .0625, or 1/16th. 
                For opponent wins it's 1/256th (.00782), and for OO wins it's 
                1/4096 (about .002445). We then take these adjusted wins, wins 
                of their opponents, and wins of _their_ opponents, weight them 
                (multiplying them by .355, .3 or .345), and divide that number 
                by the weighted result that would equal an average, .500 season. 
                The same process is conducted as for the actual wins, and then 
                that is divided by each team's result. The raw power number is 
                then multiplied by 1000. What you end up with is the power rating 
                you see in the table. The perfectly average score would be 1000, 
                so the higher you are above 1000, the better. Conversely, teams 
                under 1000 are less than average.  
                 
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                        | NFL  POWER 
                           RATINGS |   
                        | Team | Wins | Win Pct. | OPP W Pct. | OPP OPP W Pct. | Power |   
                        | New England | 14 | 0.875 | 0.484 | 0.522 | 1202.8 |   
                        | Indianapolis | 12 | 0.75 | 0.492 | 0.519 | 1139.7 |   
                        | Tennessee | 12 | 0.75 | 0.473 | 0.520 | 1122.1 |   
                        | Philadelphia | 12 | 0.75 | 0.477 | 0.510 | 1121.0 |   
                        | Kansas City | 13 | 0.8125 | 0.418 | 0.506 | 1098.7 |   
                        | Miami | 10 | 0.625 | 0.512 | 0.514 | 1087.1 |   
                        | St. Louis | 12 | 0.75 | 0.434 | 0.502 | 1076.7 |   
                        | Carolina | 11 | 0.6875 | 0.445 | 0.517 | 1061.5 |   
                        | Denver | 10 | 0.625 | 0.500 | 0.486 | 1061.2 |   
                        | Green Bay | 10 | 0.625 | 0.488 | 0.489 | 1052.1 |   
                        | Dallas | 10 | 0.625 | 0.461 | 0.518 | 1042.3 |   
                        | Seattle | 10 | 0.625 | 0.465 | 0.494 | 1033.2 |   
                        | Baltimore | 10 | 0.625 | 0.457 | 0.495 | 1026.6 |   
                        | New Orleans | 8 | 0.5 | 0.500 | 0.502 | 1001.8 |   
                        | Buffalo | 6 | 0.375 | 0.570 | 0.501 | 998.0 |   
                        | Minnesota | 9 | 0.5625 | 0.457 | 0.500 | 994.8 |   
                        | Tampa | 7 | 0.4375 | 0.508 | 0.504 | 975.6 |   
                        | New York Jets | 6 | 0.375 | 0.527 | 0.516 | 965.8 |   
                        | Houston | 5 | 0.3125 | 0.570 | 0.499 | 962.3 |   
                        | Cincinnati | 8 | 0.5 | 0.457 | 0.501 | 961.2 |   
                        | San Francisco | 7 | 0.4375 | 0.500 | 0.489 | 960.6 |   
                        | Chicago | 7 | 0.4375 | 0.488 | 0.492 | 951.3 |   
                        | Jacksonville | 5 | 0.3125 | 0.543 | 0.507 | 941.7 |   
                        | Atlanta | 5 | 0.3125 | 0.539 | 0.494 | 930.9 |   
                        | Washington | 5 | 0.3125 | 0.531 | 0.501 | 927.8 |   
                        | Pittsburgh | 6 | 0.375 | 0.500 | 0.487 | 925.1 |   
                        | Cleveland | 5 | 0.3125 | 0.539 | 0.480 | 923.7 |   
                        | Detroit | 5 | 0.3125 | 0.535 | 0.478 | 919.1 |   
                        | New York Giants | 4 | 0.25 | 0.555 | 0.495 | 911.7 |   
                        | Arizona | 4 | 0.25 | 0.543 | 0.477 | 891.3 |   
                        | Oakland | 4 | 0.25 | 0.516 | 0.485 | 870.7 |   
                        | San Diego | 4 | 0.25 | 0.504 | 0.490 | 862.4 |  |   If we were to predict the NCAA-like "Final Four" from 
                these rankings, we should expect to see a Patriots/Colts -- St. 
                Louis/Philadelphia conference finals matchup. From here, those 
                seem like the safest, most rational choices as well. The Titans 
                could put a kink in those plans, but they have to head to New 
                England after what will likely be a tough win against Baltimore 
                if they win at all (although only the Ravens among playoff teams, 
                did not finish among the top 12 in power ranking). The Colts should 
                have no trouble with Denver, but Clinton Portis is a bit of a 
                wild card. Kansas City, as noted, is a pick to exit in a surprise 
                loss to the Colts, who seem to be peaking. In the NFC, the teams 
                are much more scattered. Green Bay, Dallas and Seattle bring up 
                what appears to be a lackluster slate of NFC teams--something 
                fans have been mumbling about all year. It's a safe guess that 
                any of the big four in the AFC (KC, NE, IND, TEN) will be favorably 
                matched against whoever represents the NFC. St. Louis is home 
                all the way through, which is huge for them, and unlike fellow 
                paper tiger Kansas City, the Rams have an aggressive defense that 
                will be helpful in the playoffs. Philly looks like the only truly 
                legitimate team here, maybe Green Bay. However, before we get carried away reading predictive tea leaves 
                on who's in and out in the playoffs, a single game situation is 
                entirely unpredictable. So what goeth before does not presage 
                what cometh after. The power rankings do not take into account 
                margin of victory, scoring differentials, injuries or the unusual 
                motivations of homo sapiens. This rating concentrates on the sole 
                outcome that matters...winning.   Enjoy reading over the results!
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