Copyright	(c) Praneya Kumar Alexey Khudyakov 2025
License	BSD-3-Clause
Safe Haskell	None
Language	Haskell2010

Statistics.Test.Bartlett

Description

Bartlett's test is used to check that multiple groups of observations come from distributions with equal variances. This test assumes that samples come from normal distribution. If this is not the case it may simple test for non-normality and Levene's (Statistics.Test.Levene) is preferred

>>> import qualified Data.Vector.Unboxed as VU
>>> import Statistics.Test.Bartlett
>>> :{
let a = VU.fromList [8.88, 9.12, 9.04, 8.98, 9.00, 9.08, 9.01, 8.85, 9.06, 8.99]
    b = VU.fromList [8.88, 8.95, 9.29, 9.44, 9.15, 9.58, 8.36, 9.18, 8.67, 9.05]
    c = VU.fromList [8.95, 9.12, 8.95, 8.85, 9.03, 8.84, 9.07, 8.98, 8.86, 8.98]
in bartlettTest [a,b,c]
:}
Right (Test {testSignificance = mkPValue 1.1254782518843598e-5, testStatistics = 22.789434813726768, testDistribution = chiSquared 2})

Synopsis

bartlettTest :: Vector v Double => [v Double] -> Either String (Test ChiSquared)
data ChiSquared
chiSquared :: Int -> ChiSquared

Documentation

bartlettTest :: Vector v Double => [v Double] -> Either String (Test ChiSquared) Source #

Perform Bartlett's test for equal variances. The input is a list of vectors, where each vector represents a group of observations.

data ChiSquared Source #

Chi-squared distribution

Instances

Instances details

FromJSON ChiSquared Source #

Instance details

Defined in Statistics.Distribution.ChiSquared

Methods

parseJSON :: Value -> Parser ChiSquared #

parseJSONList :: Value -> Parser [ChiSquared] #

omittedField :: Maybe ChiSquared #

ToJSON ChiSquared Source #

Instance details

Defined in Statistics.Distribution.ChiSquared

Methods

toJSON :: ChiSquared -> Value #

toEncoding :: ChiSquared -> Encoding #

toJSONList :: [ChiSquared] -> Value #

toEncodingList :: [ChiSquared] -> Encoding #

omitField :: ChiSquared -> Bool #

Data ChiSquared Source #

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 Source #

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-0.16.4.0-1cbrVsgEUI21RJju9YwBZG" 'True) (C1 ('MetaCons "ChiSquared" 'PrefixI 'True) (S1 ('MetaSel ('Just "chiSquaredNDF") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))