Pass 2

The purpose of this pass is solely to determine ratings for unrated players. To do this, we first look at the ratings for rated players that came out of Pass 1 to determine a “Pass 2 Adjustment”. The logic for this is as follows:

We calculate the difference between the Pass 1 Rating and the Initial Rating of the current player. This difference is referred to as the points gained by the player in Pass 1.

For rated players, Pass 1 points gained, are used to calculate the Pass 2 Adjustment in the following way:

If a player gained less than 50 points (exclusive) in pass 1, then we set that player's Pass 2 Adjustment to his/her Initial Rating.

If a player gained between 50 and 74 (inclusive) points in pass 1, then we set the player's Pass 2 Adjustment to his/her Final Pass1 Rating.

If the player has won at least one match, and lost at least 1 match in the tournament or league event, then the player's Pass 2 Adjustment is the average of his/her Final Pass 1 Rating and the average of his/her opponents rating from the best win and the worst loss.

If a player has not lost any of his/her matches in the current tournament or league event, the mathematical median (rounded down to the nearest integer) of all the player's opponents' initial rating is used as his/her Pass 2 Adjustment.

After calculating the Pass 2 Adjustment for all the rated players as described above, we can now calculate the Pass 2 Rating for all the unrated players in this tournament or league event (which is the main purpose of Pass 2). Pass 2 Rating is calculated using the following formula: 

If all of the matches of an unrated player are against other unrated players, then the Pass 2 Rating for that player is simply set to 1200. You can view these players who received a 1200 Pass 2 Rating toward the end of this web page.

For unrated players with wins and losses, where at least 1 of the opponents has an initial rating, the Pass 2 Rating is the average of the best win and the worst loss (using the Pass 2 Adjustment of all rated players).

For unrated players with all wins and no losses, where at least 1 of the opponents has an initial rating, the Pass 2 Rating is calculated using the following formula:

We first calculate the points difference between the best win and the worst loss of all the current player's opponents, where the best win is the highest Pass 2 adjustment rating of the opponent against whom the player has won a match, and the worst loss is the lowest Pass 2 adjustment rating of the opponent against whom the player has lost a match in the tournament or league event under consideration.

For each of the opponents' difference between best wins and worst losses, if the difference is between 1 and 50 (inclusive) then an intermediate value of 10 is assigned; if the difference is between 51 and 100 (inclusive) then an intermediate value of 5 is assigned; if the difference is between 101 and 150 (inclusive) then an intermediate value of 1 is assigned; otherwise the intermediate value of 0 is assigned.

All of the intermediate values described in the step above get added to the current player's best win (which is the highest Pass 2 Adjustment of the opponent against whom the current player won a match in the current tournament or league event) and that value is deemed the Pass 2 Rating for the current player.

For unrated players with all losses and no wins, where at least 1 of the opponents has an initial rating, the Pass 2 Rating is calculated using the following step:

We first calculate the points differences between the current player's worst loss, which is the lowest Pass 2 Adjustment of the opponent against whom the player has lost a match in the current league or tournament rating, and the Pass 2 Adjustments of all the opponents for the tournament or league event under consideration.

For each of the differences described in the step above, if the difference is between 1 and 50 (inclusive) then an intermediate value of 10 is assigned; if the difference is between 51 and 100 (inclusive) then an intermediate value of 5 is assigned; if the difference is between 101 and 150 (inclusive) then an intermediate value of 1 is assigned; otherwise the intermediate value of 0 is assigned.

The Pass 2 Rating is determined by adding the sum of the intermediate values calculated in the step above to the current player's worst loss.

Pass 3

Any of the unrated players who have all wins or all losses are skipped in Pass 3. Pass 3 Rating is calculated using the steps described below:

In the first part of Pass 3, we apply the point exchange table described in Pass 1 except this time by using all the players' Pass 2 Ratings. This rating will be referred to as the the Pass 3 Part 1 rating.

Given the Pass 3 Part 1 rating calculated above, the second part of Pass 3 looks very similar to the part of Pass 2 that deals with rated players where we calculate their Pass 2 Adjustment.

First, we calculate the points gained in Pass 3 Part 1. Points gained is simply the difference between the Pass 3 Part 1 Rating and the Pass 2 Rating of a player.

Pass 3 points gained is then used to calculate the Pass 3 Part 2 Rating in the following way:

If a player gained less than 50 points (exclusive) in Pass 3 Part 1, then we set that player's Pass 3 Part 2 Rating to his/her Pass 2 Rating.

If a player gained between 50 and 74 (inclusive) points in Pass 3 Part 1, then we set the player's Pass 3 Part 2 Rating to his/her Pass 3 Part 1 Rating.

If a player gains 75 or more points (inclusive) in Pass 3 Part 1, then the following formula applies:

If the player has won at least one match, and lost at least 1 match in the tournament or league event, then the player's Pass 3 Part 2 Rating is the average of his/her Pass 3 Part 1 Rating and the average of his/her opponents rating from the best win and the worst loss.

If a player has not lost any of his/her matches in the current tournament or league event, the mathematical median (rounded down to the nearest integer) of all the player's opponents' ratings is used as his/her Pass 3 Part 2 Rating.

The Pass 3 Part 2 rating ends up becoming the final Pass 3 rating (also referred to as the Pass 3 Adjustment) except as follows:

In the cases where the Pass 3 Part 2 rating is less than the players' initial rating P i𠊀  , the Pass 3 rating is reset back to that players initial rating.

It is possible for the admin of this tournament or league event to override the Pass 3 Adjustment calculated above with a value they deem is appropriate.

Pass 4

Pass 4 is the final pass of the rating processor. In this pass, we take the adjusted ratings (Pass 3 Adjustment) of all the rated players, and the assigned ratings of unrated players (Pass 2 Rating), and apply the point exchange table to the match results based on these ratings to arrive at a final rating.

Rating points awarded / forfeited are determined by overall win / loss tournament results of matches played in USA Table Tennis sanctioned tournaments.

Each new member is assigned a rating based on results from their first tournament. The more matches that are reported, the more accurate the initial rating will be.

If a sanctioned tournament player defeats opponents with a higher rating, their rating may be adjusted upwards and the tournament reprocessed with this higher rating. This is done to protect the ratings of players who have lost matches to a player who began the competition severely underrated and who demonstrates a consistent playing level far above the rating with which that player entered the competition.

*Tournaments are processed in chronological order. Late reporting tournaments, will be processed in chronological order regardless of when they are received.

Ratings System Further Explained

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Rating Systems Explained

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Ratings Chart

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