Explanation: Each team is listed with its record, overall score differential, and six ratings. Brief explanations of the ratings follow.
• Schedule The number in this column is the effective opponent strength of a team. In other words, they would be expected to have the same record had they played all games against an opponent of this predictive rating at a neutral site. Because this calculation depends on the strength of the team in question, it is not possible to rank schedules using these values.
• Standard Ranks teams in an order such that a team is "probably better" than all teams ranked lower than it. This calculation uses margin of victory only for computing a team's opponents strengths; the team's rating itself is computed using only wins, losses, and ties relative to its schedule
• Median Likelihood Determines the likely ratings for each team, based on its wins, losses, and ties relative to its schedule. This generally produces the same or similar ratings as the standard ranking.
• Predictive Both schedule strength and rating vs. schedule strength are determined considering both the wins and losses and the score differentials. This rating contains none of the biases in the standard rating, but does weight recent games slightly more than past games since those are a better indication of the team's current strength. This rating is the best of the first three for seeing how good teams are, and thus is the best for predicting future results.
• Improved RPI Rating The improved RPI formula is similar to the standard RPI, except that the schedule strength is carried out to infinite depth instead of ending with opponents' opponents, thus allows for a better comparison of isolated groups of teams than is given by the standard RPI calculation. It is similar to the simple rating, except that all games are given equal weight.
• RPI Rating. Included only because of common real-life usage. The RPI rating has many statistical problems. The football RPI rating is based on the BCS formula, and approximates the schedule, loss, and quality win components.
• Pseudo-Poll. A blended ranking based on win-loss and predictive ratings, calibrated to match real-life polls as closely as possible. This gives a rough but unbiased estimate of how typical voters value record vs. impressive wins.
• Predictive-Scoring. This value indicates how many points a team would be expected to score if it played an identical team.
• Predictive-Offense. This combines the predictive and scoring ratings to measure how many points a team scores. The number is the predictive rating of an opponent against whom the team would be expected to score the league average number of points. This does not necessarily rate a team's offensive abilities, as a fast pace in basketball or big-play defense in football can make a team score more points.
• Predictive-Defense. This combines the predictive and scoring ratings to measure how many points a team allows. The number is the predictive rating of an opponent against whom the team would be expected to allow the league average number of points. The same caveat in the predictive-offense rating applies here.
Because these ratings contain no prejudices regarding team or conference strengths, they tend to be quite inaccurate early in the seasons. College football appears to take at least 5 games per team before even remotely reasonable ratings are produced; acceptable ratings are produced with 8 games per team; excellent ratings unfortunately require 14 games per team.

Rankings by division: Overall I-A I-AA II III NAIA HAAC GAC NESCAC NSIC MAIAA

## Full Ranking

``````                                               STANDARD   MED LIKELY  PREDICTIVE  IMPRVD RPI     RPI         POLL       OFFENSE     DEFENSE
TEAM                     W  L  PF  PA  SCHED  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING
Grand View              13  1 512 153 -1.000    1 -0.353    1 -0.536    1 -0.564    1 0.0000    1 0.0000    1  9.072    2 -0.888    1 -0.239
Benedictine KS          11  2 494 234 -1.500    2 -0.796    2 -1.072    2 -1.042    1 0.0000    1 0.0000    2  7.963    1 -0.654    3 -1.431
Evangel                  7  3 226 164 -1.877    3 -1.491    3 -1.636    3 -1.703    1 0.0000    1 0.0000    3  6.790    6 -2.198    2 -1.208
MidAmerica Nazarene      7  4 305 312 -2.186    4 -1.730    4 -1.828    5 -2.154    1 0.0000    1 0.0000    4  6.246    4 -1.667   11 -2.641
Peru St                  6  5 172 206 -2.239    5 -1.893    5 -2.039    7 -2.264    1 0.0000    1 0.0000    5  5.913    9 -2.982    4 -1.547
Baker                    5  6 237 200 -2.097    6 -2.115    7 -2.293    4 -1.988    1 0.0000    1 0.0000    6  5.612    8 -2.374    5 -1.601
Culver-Stockton          5  6 265 280 -2.208    7 -2.149    6 -2.274    6 -2.171    1 0.0000    1 0.0000    7  5.557    5 -2.033    7 -2.309
Graceland                4  7 317 393 -2.259    8 -2.398    8 -2.467    8 -2.300    1 0.0000    1 0.0000    8  5.180    3 -1.342   12 -3.257
Missouri Valley          3  8 223 293 -2.262   11 -2.594   11 -2.732    9 -2.374    1 0.0000    1 0.0000    9  4.842    7 -2.365    8 -2.383
William Penn             3  7 140 296 -2.501    9 -2.527    9 -2.640   11 -2.783    1 0.0000    1 0.0000   10  4.822   11 -3.092   10 -2.474
TEAM                     W  L  PF  PA  SCHED  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING
Clarke                   3  8 163 294 -2.405   10 -2.559   10 -2.683   10 -2.706    1 0.0000    1 0.0000   11  4.775   10 -3.021    9 -2.391
Central Methodist        1 10  60 283 -2.579   12 -2.935   12 -3.132   12 -3.125    1 0.0000    1 0.0000   12  4.025   12 -4.287    6 -1.963

Heart of America Athletic Conference: strength=-2.201 (#1)
STANDARD   MED LIKELY  PREDICTIVE  IMPRVD RPI     RPI         POLL       OFFENSE     DEFENSE
TEAM                     W  L  PF  PA  SCHED  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING  RNK RATING
Grand View              13  1 512 153 -1.000    1 -0.353    1 -0.536    1 -0.564    1 0.0000    1 0.0000    1  9.072    2 -0.888    1 -0.239
Benedictine KS          11  2 494 234 -1.500    2 -0.796    2 -1.072    2 -1.042    1 0.0000    1 0.0000    2  7.963    1 -0.654    3 -1.431
Evangel                  7  3 226 164 -1.877    3 -1.491    3 -1.636    3 -1.703    1 0.0000    1 0.0000    3  6.790    6 -2.198    2 -1.208
MidAmerica Nazarene      7  4 305 312 -2.186    4 -1.730    4 -1.828    5 -2.154    1 0.0000    1 0.0000    4  6.246    4 -1.667   11 -2.641
Peru St                  6  5 172 206 -2.239    5 -1.893    5 -2.039    7 -2.264    1 0.0000    1 0.0000    5  5.913    9 -2.982    4 -1.547
Baker                    5  6 237 200 -2.097    6 -2.115    7 -2.293    4 -1.988    1 0.0000    1 0.0000    6  5.612    8 -2.374    5 -1.601
Culver-Stockton          5  6 265 280 -2.208    7 -2.149    6 -2.274    6 -2.171    1 0.0000    1 0.0000    7  5.557    5 -2.033    7 -2.309
Graceland                4  7 317 393 -2.259    8 -2.398    8 -2.467    8 -2.300    1 0.0000    1 0.0000    8  5.180    3 -1.342   12 -3.257
Missouri Valley          3  8 223 293 -2.262   11 -2.594   11 -2.732    9 -2.374    1 0.0000    1 0.0000    9  4.842    7 -2.365    8 -2.383
William Penn             3  7 140 296 -2.501    9 -2.527    9 -2.640   11 -2.783    1 0.0000    1 0.0000   10  4.822   11 -3.092   10 -2.474
Clarke                   3  8 163 294 -2.405   10 -2.559   10 -2.683   10 -2.706    1 0.0000    1 0.0000   11  4.775   10 -3.021    9 -2.391
Central Methodist        1 10  60 283 -2.579   12 -2.935   12 -3.132   12 -3.125    1 0.0000    1 0.0000   12  4.025   12 -4.287    6 -1.963

Conference Strengths
CONFERENCE                                                W   L   PCT  RNK RATING
Heart of America Athletic Conference                     68  67 0.504    1 -2.201
``````

``````Home field advantage amounts to:
0.141 points in main ratings
0.024 points in improved RPI
Average of 6.20 points per score
``````
```Predict score: vs. hosting at Team Strength vs. Time Plot: posted: Tue Apr 4 18:48:46 2023 ```

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