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Equation 17 · Part 1 · A Showdown Ladder Rating Measures the Ladder, Not the Player

Symbol X

XX
XX

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X is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…is the player’s rating plus twice the RD” [ 3 ] . Line up the two constructions and the correspondence is not loose: XX. ​ Rating deviation RD\mathrm{RD} , bounded to Showdown’s 25–130 range 95% interval: X ±\pm 1.96 ⋅\cdot SEM\mathrm{SEM} 95% interval: R ±\pm 2 ⋅\cdot RD\mathrm{RD} [ 3 ] Reliability rises with more independent items RD falls with more games played in a period [ 2 ] Reliability falls with time since calibration RD rises with time since the player’s last game [ 3 ] This is the article’s…

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