Safe Haskell	None
Language	Haskell2010

Statistics.Test.Types

Synopsis

data Test distr = Test {
- testSignificance :: !( PValue Double )
- testStatistics :: ! Double
- testDistribution :: distr
}
isSignificant :: PValue Double -> Test d -> TestResult
data TestResult
- = Significant
- | NotSignificant
significant :: Bool -> TestResult
data PositionTest
- = SamplesDiffer
- | AGreater
- | BGreater

Documentation

data Test distr Source #

Result of statistical test.

Constructors

Test
Fields testSignificance :: !( PValue Double ) Probability of getting value of test statistics at least as extreme as measured. testStatistics :: ! Double Statistic used for test. testDistribution :: distr Distribution of test statistics if null hypothesis is correct.

Instances

Instances details

Functor Test Source #
Instance details Defined in Statistics.Test.Types Methods fmap :: (a -> b) -> Test a -> Test b Source # (<$) :: a -> Test b -> Test a Source #
Eq distr => Eq ( Test distr) Source #
Instance details Defined in Statistics.Test.Types Methods (==) :: Test distr -> Test distr -> Bool Source # (/=) :: Test distr -> Test distr -> Bool Source #
Data distr => Data ( Test distr) Source #
Instance details Defined in Statistics.Test.Types Methods gfoldl :: ( forall d b. Data d => c (d -> b) -> d -> c b) -> ( forall g. g -> c g) -> Test distr -> c ( Test distr) Source # gunfold :: ( forall b r. Data b => c (b -> r) -> c r) -> ( forall r. r -> c r) -> Constr -> c ( Test distr) Source # toConstr :: Test distr -> Constr Source # dataTypeOf :: Test distr -> DataType Source # dataCast1 :: Typeable t => ( forall d. Data d => c (t d)) -> Maybe (c ( Test distr)) Source # dataCast2 :: Typeable t => ( forall d e. ( Data d, Data e) => c (t d e)) -> Maybe (c ( Test distr)) Source # gmapT :: ( forall b. Data b => b -> b) -> Test distr -> Test distr Source # gmapQl :: (r -> r' -> r) -> r -> ( forall d. Data d => d -> r') -> Test distr -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> ( forall d. Data d => d -> r') -> Test distr -> r Source # gmapQ :: ( forall d. Data d => d -> u) -> Test distr -> [u] Source # gmapQi :: Int -> ( forall d. Data d => d -> u) -> Test distr -> u Source # gmapM :: Monad m => ( forall d. Data d => d -> m d) -> Test distr -> m ( Test distr) Source # gmapMp :: MonadPlus m => ( forall d. Data d => d -> m d) -> Test distr -> m ( Test distr) Source # gmapMo :: MonadPlus m => ( forall d. Data d => d -> m d) -> Test distr -> m ( Test distr) Source #
Ord distr => Ord ( Test distr) Source #
Instance details Defined in Statistics.Test.Types Methods compare :: Test distr -> Test distr -> Ordering Source # (<) :: Test distr -> Test distr -> Bool Source # (<=) :: Test distr -> Test distr -> Bool Source # (>) :: Test distr -> Test distr -> Bool Source # (>=) :: Test distr -> Test distr -> Bool Source # max :: Test distr -> Test distr -> Test distr Source # min :: Test distr -> Test distr -> Test distr Source #
Show distr => Show ( Test distr) Source #
Instance details Defined in Statistics.Test.Types Methods showsPrec :: Int -> Test distr -> ShowS Source # show :: Test distr -> String Source # showList :: [ Test distr] -> ShowS Source #
Generic ( Test distr) Source #
Instance details Defined in Statistics.Test.Types Associated Types type Rep ( Test distr) :: Type -> Type Source # Methods from :: Test distr -> Rep ( Test distr) x Source # to :: Rep ( Test distr) x -> Test distr Source #
ToJSON d => ToJSON ( Test d) Source #
Instance details Defined in Statistics.Test.Types Methods toJSON :: Test d -> Value Source # toEncoding :: Test d -> Encoding Source # toJSONList :: [ Test d] -> Value Source # toEncodingList :: [ Test d] -> Encoding Source #
FromJSON d => FromJSON ( Test d) Source #
Instance details Defined in Statistics.Test.Types Methods parseJSON :: Value -> Parser ( Test d) Source # parseJSONList :: Value -> Parser [ Test d] Source #
Binary d => Binary ( Test d) Source #
Instance details Defined in Statistics.Test.Types Methods put :: Test d -> Put Source # get :: Get ( Test d) Source # putList :: [ Test d] -> Put Source #
NFData d => NFData ( Test d) Source #
Instance details Defined in Statistics.Test.Types Methods rnf :: Test d -> () Source #
type Rep ( Test distr) Source #
Instance details Defined in Statistics.Test.Types type Rep ( Test distr) = D1 (' MetaData "Test" "Statistics.Test.Types" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' False ) ( C1 (' MetaCons "Test" ' PrefixI ' True ) ( S1 (' MetaSel (' Just "testSignificance") ' NoSourceUnpackedness ' SourceStrict ' DecidedStrict ) ( Rec0 ( PValue Double )) :: ( S1 (' MetaSel (' Just "testStatistics") ' NoSourceUnpackedness ' SourceStrict ' DecidedStrict ) ( Rec0 Double ) :: S1 (' MetaSel (' Just "testDistribution") ' NoSourceUnpackedness ' NoSourceStrictness ' DecidedLazy ) ( Rec0 distr))))

isSignificant :: PValue Double -> Test d -> TestResult Source #

Check whether test is significant for given p-value.

data TestResult Source #

Result of hypothesis testing

Constructors

Significant	Null hypothesis should be rejected
NotSignificant	Data is compatible with hypothesis

Instances

Instances details

Eq TestResult Source #
Instance details Defined in Statistics.Test.Types Methods (==) :: TestResult -> TestResult -> Bool Source # (/=) :: TestResult -> TestResult -> Bool Source #
Data TestResult Source #
Instance details Defined in Statistics.Test.Types Methods gfoldl :: ( forall d b. Data d => c (d -> b) -> d -> c b) -> ( forall g. g -> c g) -> TestResult -> c TestResult Source # gunfold :: ( forall b r. Data b => c (b -> r) -> c r) -> ( forall r. r -> c r) -> Constr -> c TestResult Source # toConstr :: TestResult -> Constr Source # dataTypeOf :: TestResult -> DataType Source # dataCast1 :: Typeable t => ( forall d. Data d => c (t d)) -> Maybe (c TestResult ) Source # dataCast2 :: Typeable t => ( forall d e. ( Data d, Data e) => c (t d e)) -> Maybe (c TestResult ) Source # gmapT :: ( forall b. Data b => b -> b) -> TestResult -> TestResult Source # gmapQl :: (r -> r' -> r) -> r -> ( forall d. Data d => d -> r') -> TestResult -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> ( forall d. Data d => d -> r') -> TestResult -> r Source # gmapQ :: ( forall d. Data d => d -> u) -> TestResult -> [u] Source # gmapQi :: Int -> ( forall d. Data d => d -> u) -> TestResult -> u Source # gmapM :: Monad m => ( forall d. Data d => d -> m d) -> TestResult -> m TestResult Source # gmapMp :: MonadPlus m => ( forall d. Data d => d -> m d) -> TestResult -> m TestResult Source # gmapMo :: MonadPlus m => ( forall d. Data d => d -> m d) -> TestResult -> m TestResult Source #
Ord TestResult Source #
Instance details Defined in Statistics.Test.Types Methods compare :: TestResult -> TestResult -> Ordering Source # (<) :: TestResult -> TestResult -> Bool Source # (<=) :: TestResult -> TestResult -> Bool Source # (>) :: TestResult -> TestResult -> Bool Source # (>=) :: TestResult -> TestResult -> Bool Source # max :: TestResult -> TestResult -> TestResult Source # min :: TestResult -> TestResult -> TestResult Source #
Show TestResult Source #
Instance details Defined in Statistics.Test.Types Methods showsPrec :: Int -> TestResult -> ShowS Source # show :: TestResult -> String Source # showList :: [ TestResult ] -> ShowS Source #
Generic TestResult Source #
Instance details Defined in Statistics.Test.Types Associated Types type Rep TestResult :: Type -> Type Source # Methods from :: TestResult -> Rep TestResult x Source # to :: Rep TestResult x -> TestResult Source #
ToJSON TestResult Source #
Instance details Defined in Statistics.Test.Types Methods toJSON :: TestResult -> Value Source # toEncoding :: TestResult -> Encoding Source # toJSONList :: [ TestResult ] -> Value Source # toEncodingList :: [ TestResult ] -> Encoding Source #
FromJSON TestResult Source #
Instance details Defined in Statistics.Test.Types Methods parseJSON :: Value -> Parser TestResult Source # parseJSONList :: Value -> Parser [ TestResult ] Source #
Binary TestResult Source #
Instance details Defined in Statistics.Test.Types Methods put :: TestResult -> Put Source # get :: Get TestResult Source # putList :: [ TestResult ] -> Put Source #
NFData TestResult Source #
Instance details Defined in Statistics.Test.Types Methods rnf :: TestResult -> () Source #
type Rep TestResult Source #
Instance details Defined in Statistics.Test.Types type Rep TestResult = D1 (' MetaData "TestResult" "Statistics.Test.Types" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' False ) ( C1 (' MetaCons "Significant" ' PrefixI ' False ) ( U1 :: Type -> Type ) :+: C1 (' MetaCons "NotSignificant" ' PrefixI ' False ) ( U1 :: Type -> Type ))

significant :: Bool -> TestResult Source #

significant if parameter is True , not significant otherwise

data PositionTest Source #

Test type for test which compare positional (mean,median etc.) information of samples.

Constructors

SamplesDiffer	Test whether samples differ in position. Null hypothesis is samples are not different
AGreater	Test if first sample (A) is larger than second (B). Null hypothesis is first sample is not larger than second.
BGreater	Test if second sample is larger than first.

Instances

Instances details

Eq PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods (==) :: PositionTest -> PositionTest -> Bool Source # (/=) :: PositionTest -> PositionTest -> Bool Source #
Data PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods gfoldl :: ( forall d b. Data d => c (d -> b) -> d -> c b) -> ( forall g. g -> c g) -> PositionTest -> c PositionTest Source # gunfold :: ( forall b r. Data b => c (b -> r) -> c r) -> ( forall r. r -> c r) -> Constr -> c PositionTest Source # toConstr :: PositionTest -> Constr Source # dataTypeOf :: PositionTest -> DataType Source # dataCast1 :: Typeable t => ( forall d. Data d => c (t d)) -> Maybe (c PositionTest ) Source # dataCast2 :: Typeable t => ( forall d e. ( Data d, Data e) => c (t d e)) -> Maybe (c PositionTest ) Source # gmapT :: ( forall b. Data b => b -> b) -> PositionTest -> PositionTest Source # gmapQl :: (r -> r' -> r) -> r -> ( forall d. Data d => d -> r') -> PositionTest -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> ( forall d. Data d => d -> r') -> PositionTest -> r Source # gmapQ :: ( forall d. Data d => d -> u) -> PositionTest -> [u] Source # gmapQi :: Int -> ( forall d. Data d => d -> u) -> PositionTest -> u Source # gmapM :: Monad m => ( forall d. Data d => d -> m d) -> PositionTest -> m PositionTest Source # gmapMp :: MonadPlus m => ( forall d. Data d => d -> m d) -> PositionTest -> m PositionTest Source # gmapMo :: MonadPlus m => ( forall d. Data d => d -> m d) -> PositionTest -> m PositionTest Source #
Ord PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods compare :: PositionTest -> PositionTest -> Ordering Source # (<) :: PositionTest -> PositionTest -> Bool Source # (<=) :: PositionTest -> PositionTest -> Bool Source # (>) :: PositionTest -> PositionTest -> Bool Source # (>=) :: PositionTest -> PositionTest -> Bool Source # max :: PositionTest -> PositionTest -> PositionTest Source # min :: PositionTest -> PositionTest -> PositionTest Source #
Show PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods showsPrec :: Int -> PositionTest -> ShowS Source # show :: PositionTest -> String Source # showList :: [ PositionTest ] -> ShowS Source #
Generic PositionTest Source #
Instance details Defined in Statistics.Test.Types Associated Types type Rep PositionTest :: Type -> Type Source # Methods from :: PositionTest -> Rep PositionTest x Source # to :: Rep PositionTest x -> PositionTest Source #
ToJSON PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods toJSON :: PositionTest -> Value Source # toEncoding :: PositionTest -> Encoding Source # toJSONList :: [ PositionTest ] -> Value Source # toEncodingList :: [ PositionTest ] -> Encoding Source #
FromJSON PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods parseJSON :: Value -> Parser PositionTest Source # parseJSONList :: Value -> Parser [ PositionTest ] Source #
Binary PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods put :: PositionTest -> Put Source # get :: Get PositionTest Source # putList :: [ PositionTest ] -> Put Source #
NFData PositionTest Source #
Instance details Defined in Statistics.Test.Types Methods rnf :: PositionTest -> () Source #
type Rep PositionTest Source #
Instance details Defined in Statistics.Test.Types type Rep PositionTest = D1 (' MetaData "PositionTest" "Statistics.Test.Types" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' False ) ( C1 (' MetaCons "SamplesDiffer" ' PrefixI ' False ) ( U1 :: Type -> Type ) :+: ( C1 (' MetaCons "AGreater" ' PrefixI ' False ) ( U1 :: Type -> Type ) :+: C1 (' MetaCons "BGreater" ' PrefixI ' False ) ( U1 :: Type -> Type )))