Equation 22 · Part 1 · A Showdown Ladder Rating Measures the Ladder, Not the Player

Symbol X

X \pm 1.96 \cdot \mathrm{SEM}

X

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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.

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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.

Full expressionSymbol XArticle meaning

The passage around this formula

Rating deviation $\mathrm{RD}$ , bounded to Showdown’s 25–130 range 95% interval: X $\pm$ 1.96 $\cdot$ $\mathrm{SEM}$ 95% interval: R $\pm$ 2 $\cdot$ $\mathrm{RD}$ [ 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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