statistics-0.16.3.0: A library of statistical types, data, and functions

Copyright | (c) 2010 Alexey Khudyakov
License | BSD3
Maintainer | bos@serpentine.com
Stability | experimental
Portability | portable
Safe Haskell | None
Language | Haskell2010

Statistics.Distribution.ChiSquared

Contents

- Constructors

Description

The chi-squared distribution. This is a continuous probability distribution of sum of squares of k independent standard normal distributions. It's commonly used in statistical tests

Synopsis

- data ChiSquared
- chiSquaredNDF :: ChiSquared -> Int
- chiSquared :: Int -> ChiSquared
- chiSquaredE :: Int -> Maybe ChiSquared

# Documentation

data ChiSquared #

Chi-squared distribution

#### Instances

Instances details

FromJSON ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods parseJSON :: Value -> Parser ChiSquared # parseJSONList :: Value -> Parser [ChiSquared] # omittedField :: Maybe ChiSquared #
ToJSON ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods toJSON :: ChiSquared -> Value # toEncoding :: ChiSquared -> Encoding # toJSONList :: [ChiSquared] -> Value # toEncodingList :: [ChiSquared] -> Encoding # omitField :: ChiSquared -> Bool #
Binary ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods put :: ChiSquared -> Put # get :: Get ChiSquared # putList :: [ChiSquared] -> Put #
Data ChiSquared # |

Instance details

Defined in Statistics.Distribution.ChiSquared

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ChiSquared -> c ChiSquared #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ChiSquared #

toConstr :: ChiSquared -> Constr #

dataTypeOf :: ChiSquared -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ChiSquared) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ChiSquared) #

gmapT :: (forall b. Data b => b -> b) -> ChiSquared -> ChiSquared #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ChiSquared -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ChiSquared -> r #

gmapQ :: (forall d. Data d => d -> u) -> ChiSquared -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> ChiSquared -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ChiSquared -> m ChiSquared #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ChiSquared -> m ChiSquared #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ChiSquared -> m ChiSquared #

Generic ChiSquared # |

Instance details

Defined in Statistics.Distribution.ChiSquared

Associated Types

type Rep ChiSquared |
Instance details Defined in Statistics.Distribution.ChiSquared type Rep ChiSquared = D1 ('MetaData "ChiSquared" "Statistics.Distribution.ChiSquared" "statistics-0.16.3.0-JhFVwN7Kv9y2XSvDlj54t" 'True) (C1 ('MetaCons "ChiSquared" 'PrefixI 'True) (S1 ('MetaSel ('Just "chiSquaredNDF") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))

Methods

from :: ChiSquared -> Rep ChiSquared x #

to :: Rep ChiSquared x -> ChiSquared #

Read ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods readsPrec :: Int -> ReadS ChiSquared # readList :: ReadS [ChiSquared] # readPrec :: ReadPrec ChiSquared # readListPrec :: ReadPrec [ChiSquared] #
Show ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods showsPrec :: Int -> ChiSquared -> ShowS # show :: ChiSquared -> String # showList :: [ChiSquared] -> ShowS #
Eq ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods (==) :: ChiSquared -> ChiSquared -> Bool # (/=) :: ChiSquared -> ChiSquared -> Bool #
ContDistr ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods density :: ChiSquared -> Double -> Double # logDensity :: ChiSquared -> Double -> Double # quantile :: ChiSquared -> Double -> Double # complQuantile :: ChiSquared -> Double -> Double #
ContGen ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods genContVar :: StatefulGen g m => ChiSquared -> g -> m Double #
Distribution ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods cumulative :: ChiSquared -> Double -> Double # complCumulative :: ChiSquared -> Double -> Double #
Entropy ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods entropy :: ChiSquared -> Double #
MaybeEntropy ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods maybeEntropy :: ChiSquared -> Maybe Double #
MaybeMean ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods maybeMean :: ChiSquared -> Maybe Double #
MaybeVariance ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods maybeVariance :: ChiSquared -> Maybe Double # maybeStdDev :: ChiSquared -> Maybe Double #
Mean ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods mean :: ChiSquared -> Double #
Variance ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared Methods variance :: ChiSquared -> Double # stdDev :: ChiSquared -> Double #
type Rep ChiSquared # |
Instance details Defined in Statistics.Distribution.ChiSquared type Rep ChiSquared = D1 ('MetaData "ChiSquared" "Statistics.Distribution.ChiSquared" "statistics-0.16.3.0-JhFVwN7Kv9y2XSvDlj54t" 'True) (C1 ('MetaCons "ChiSquared" 'PrefixI 'True) (S1 ('MetaSel ('Just "chiSquaredNDF") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))

chiSquaredNDF :: ChiSquared -> Int #

Get number of degrees of freedom

# Constructors

chiSquared :: Int -> ChiSquared #

Construct chi-squared distribution. Number of degrees of freedom must be positive.

chiSquaredE :: Int -> Maybe ChiSquared #

Construct chi-squared distribution. Number of degrees of freedom must be positive.