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813 andrew gelman stats-2011-07-21-Scrabble!


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Introduction: AT writes : Sitting on my [AT's] to-do list for a while now has been an exploration of Scrabble from an experimental design point of view; how to better design a tournament to make the variance as small as possible while still preserving the appearance of the home game to its players. . . . I’m proud (relieved?) to say that I’ve finally finished the first draft of this work for two-player head-to-head games, with a duplication method that ensures that if the game were repeated, each player would receive tiles from the reserve in the same sequence: think of the tiles being laid out in order (but unseen to the players), so that one player draws from the front and the other draws from the back. . . . One goal of this was to figure out how much of the variance in score comes from the tile order and how much comes from the board, given that a tile order would be expected. It turns out to be about half-bag, half-board . . . Some other findings from the simulations: The blank


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 AT writes : Sitting on my [AT's] to-do list for a while now has been an exploration of Scrabble from an experimental design point of view; how to better design a tournament to make the variance as small as possible while still preserving the appearance of the home game to its players. [sent-1, score-0.888]

2 One goal of this was to figure out how much of the variance in score comes from the tile order and how much comes from the board, given that a tile order would be expected. [sent-10, score-1.197]

3 Some other findings from the simulations: The blank is worth about 30 points to a good player, each S about 10. [sent-14, score-0.321]

4 The Q is a burden to whichever player receives it, effectively serving as a 5 point penalty for having to deal with it due to its effect in reducing bingo opportunities, needing either a U or a blank for a chance at a bingo and a 50-point bonus. [sent-15, score-1.998]

5 The X and the Z are each worth about 3-5 extra points to the player who receives them. [sent-17, score-0.795]

6 Their difficulty in playing in bingoes is mitigated by their usefulness in other short words. [sent-18, score-0.226]

7 I [AT] have yet to make any other conclusions about how I think the game should be modified . [sent-19, score-0.281]


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wordName wordTfidf (topN-words)

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