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WikiCards · Card list · Science cards · Chi-squared distribution
Rare card · Science
Chi-squared distribution, a Rare card
In probability theory and statistics, the χ 2 -distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables.
- Rarity
- Rare
- Domain
- Science
- ATK
- 75
- DEF
- 55
- Power
- 130
- Wikipedia reads a year
- 250,000
Power 130 (ATK + DEF): stronger than 70 % of WikiCards cards.
Chi-squared distribution quiz: 3 questions
Three questions on the Chi-squared distribution card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Specifically if X ∼ χ k 2 then X ∼ Gamma {\______ X\sim {\text{Gamma}}} and X ∼ W 1.
Answer
textstyle. Specifically if X ∼ χ k 2 then X ∼ Gamma {\textstyle X\sim {\text{Gamma}}} and X ∼ W 1. From the Chi-squared distribution article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Inner product space. Inner product space 78 · Chi-squared distribution 75 · Edmund Jaeger 70 · First Illinois Constitutional Convention 64 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Chi-squared distribution. Chi-squared distribution 250,000 · Inner product space 200,000 · Irrational number 160,000 · Edmund Jaeger 1,700 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- The chi-squared distribution χ k 2 is a special case of the gamma distribution and the univariate Wishart distribution.
- Specifically if X ∼ χ k 2 then X ∼ Gamma {\textstyle X\sim {\text{Gamma}}} and X ∼ W 1.
- The scaled chi-squared distribution s 2 χ k 2 is a reparametrization of the gamma distribution and the univariate Wishart distribution.
Why it is Rare
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Chi-squared distribution article was read about 250,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 75 and blocks with 55: each hit it takes is cut by 22 %.
How to get Chi-squared distribution
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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- ChaosRare · Society · ATK 70 DEF 60
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- Cabo San LucasRare · Society · ATK 68 DEF 62
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Card lists
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- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Chi-squared distribution (revision), CC BY-SA 4.0. Photo : Geek3, CC BY 3.0, Wikimedia Commons.
