grizzled.math

stats

object stats extends AnyRef

Miscellaneous statistics-related functions.

Note: You must import scala.math.Numeric (or just Numeric._) for these functions to work. For example:

import Numeric._
import grizzled.math.stats._

val l = List[Double]( ... )
println(median(l))
linear super types: AnyRef, Any
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Value Members

  1. def != (arg0: AnyRef) : Boolean

    attributes: final
    definition classes: AnyRef
  2. def != (arg0: Any) : Boolean

    o != arg0 is the same as !(o == (arg0)).

    o != arg0 is the same as !(o == (arg0)).

    arg0

    the object to compare against this object for dis-equality.

    returns

    false if the receiver object is equivalent to the argument; true otherwise.

    attributes: final
    definition classes: Any
  3. def ## () : Int

    attributes: final
    definition classes: AnyRef → Any
  4. def $asInstanceOf [T0] () : T0

    attributes: final
    definition classes: AnyRef
  5. def $isInstanceOf [T0] () : Boolean

    attributes: final
    definition classes: AnyRef
  6. def == (arg0: AnyRef) : Boolean

    o == arg0 is the same as if (o eq null) arg0 eq null else o.equals(arg0).

    o == arg0 is the same as if (o eq null) arg0 eq null else o.equals(arg0).

    arg0

    the object to compare against this object for equality.

    returns

    true if the receiver object is equivalent to the argument; false otherwise.

    attributes: final
    definition classes: AnyRef
  7. def == (arg0: Any) : Boolean

    o == arg0 is the same as o.equals(arg0).

    o == arg0 is the same as o.equals(arg0).

    arg0

    the object to compare against this object for equality.

    returns

    true if the receiver object is equivalent to the argument; false otherwise.

    attributes: final
    definition classes: Any
  8. def arithmeticMean [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculates the arithmetic mean of the values of the passed-in numbers.

    Calculates the arithmetic mean of the values of the passed-in numbers.

    items

    the numbers on which to operate

    returns

    the arithmetic mean

  9. def asInstanceOf [T0] : T0

    This method is used to cast the receiver object to be of type T0.

    This method is used to cast the receiver object to be of type T0.

    Note that the success of a cast at runtime is modulo Scala's erasure semantics. Therefore the expression1.asInstanceOf[String] will throw a ClassCastException at runtime, while the expressionList(1).asInstanceOf[List[String]] will not. In the latter example, because the type argument is erased as part of compilation it is not possible to check whether the contents of the list are of the requested typed.

    returns

    the receiver object.

    attributes: final
    definition classes: Any
  10. def clone () : AnyRef

    This method creates and returns a copy of the receiver object.

    This method creates and returns a copy of the receiver object.

    The default implementation of the clone method is platform dependent.

    returns

    a copy of the receiver object.

    attributes: protected
    definition classes: AnyRef
  11. def eq (arg0: AnyRef) : Boolean

    This method is used to test whether the argument (arg0) is a reference to the receiver object (this).

    This method is used to test whether the argument (arg0) is a reference to the receiver object (this).

    The eq method implements an [http://en.wikipedia.org/wiki/Equivalence_relation equivalence relation] on non-null instances of AnyRef: * It is reflexive: for any non-null instance x of type AnyRef, x.eq(x) returns true. * It is symmetric: for any non-null instances x and y of type AnyRef, x.eq(y) returns true if and only if y.eq(x) returns true. * It is transitive: for any non-null instances x, y, and z of type AnyRef if x.eq(y) returns true and y.eq(z) returns true, then x.eq(z) returns true.

    Additionally, the eq method has three other properties. * It is consistent: for any non-null instances x and y of type AnyRef, multiple invocations of x.eq(y) consistently returns true or consistently returns false. * For any non-null instance x of type AnyRef, x.eq(null) and null.eq(x) returns false. * null.eq(null) returns true.

    When overriding the equals or hashCode methods, it is important to ensure that their behavior is consistent with reference equality. Therefore, if two objects are references to each other (o1 eq o2), they should be equal to each other (o1 == o2) and they should hash to the same value (o1.hashCode == o2.hashCode).

    arg0

    the object to compare against this object for reference equality.

    returns

    true if the argument is a reference to the receiver object; false otherwise.

    attributes: final
    definition classes: AnyRef
  12. def equals (arg0: Any) : Boolean

    This method is used to compare the receiver object (this) with the argument object (arg0) for equivalence.

    This method is used to compare the receiver object (this) with the argument object (arg0) for equivalence.

    The default implementations of this method is an [http://en.wikipedia.org/wiki/Equivalence_relation equivalence relation]: * It is reflexive: for any instance x of type Any, x.equals(x) should return true. * It is symmetric: for any instances x and y of type Any, x.equals(y) should return true if and only if y.equals(x) returns true. * It is transitive: for any instances x, y, and z of type AnyRef if x.equals(y) returns true and y.equals(z) returns true, then x.equals(z) should return true.

    If you override this method, you should verify that your implementation remains an equivalence relation. Additionally, when overriding this method it is often necessary to override hashCode to ensure that objects that are "equal" (o1.equals(o2) returns true) hash to the same scala.Int (o1.hashCode.equals(o2.hashCode)).

    arg0

    the object to compare against this object for equality.

    returns

    true if the receiver object is equivalent to the argument; false otherwise.

    definition classes: AnyRef → Any
  13. def finalize () : Unit

    This method is called by the garbage collector on the receiver object when garbage collection determines that there are no more references to the object.

    This method is called by the garbage collector on the receiver object when garbage collection determines that there are no more references to the object.

    The details of when and if the finalize method are invoked, as well as the interaction between finalizeand non-local returns and exceptions, are all platform dependent.

    attributes: protected
    definition classes: AnyRef
  14. def geometricMean [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculates the geometric mean of the values of the passed-in numbers, namely, the n-th root of (x1 * x2 * .

    Calculates the geometric mean of the values of the passed-in numbers, namely, the n-th root of (x1 * x2 * ... * xn). Note that all numbers used in the calculation of a geometric mean must be positive.

    For a discussion of when a geometric mean is more suitable than an arithmetic mean, seehttp://www.math.toronto.edu/mathnet/questionCorner/geomean.html.

    items

    the numbers on which to operate

    returns

    the geometric mean

  15. def getClass () : java.lang.Class[_]

    Returns a representation that corresponds to the dynamic class of the receiver object.

    Returns a representation that corresponds to the dynamic class of the receiver object.

    The nature of the representation is platform dependent.

    returns

    a representation that corresponds to the dynamic class of the receiver object.

    attributes: final
    definition classes: AnyRef
  16. def harmonicMean [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculates the harmonic mean of the values of the passed-in numbers, namely: n / (1/x^1^ + 1/x^2^ + ... + 1/x^n^).

    Calculates the harmonic mean of the values of the passed-in numbers, namely: n / (1/x^1^ + 1/x^2^ + ... + 1/x^n^).

    items

    the numbers on which to operate

    returns

    the harmonic mean

  17. def hashCode () : Int

    Returns a hash code value for the object.

    Returns a hash code value for the object.

    The default hashing algorithm is platform dependent.

    Note that it is allowed for two objects to have identical hash codes (o1.hashCode.equals(o2.hashCode)) yet not be equal (o1.equals(o2) returns false). A degenerate implementation could always return 0. However, it is required that if two objects are equal (o1.equals(o2) returns true) that they have identical hash codes (o1.hashCode.equals(o2.hashCode)). Therefore, when overriding this method, be sure to verify that the behavior is consistent with the equals method.

    returns

    the hash code value for the object.

    definition classes: AnyRef → Any
  18. def isInstanceOf [T0] : Boolean

    This method is used to test whether the dynamic type of the receiver object is T0.

    This method is used to test whether the dynamic type of the receiver object is T0.

    Note that the test result of the test is modulo Scala's erasure semantics. Therefore the expression1.isInstanceOf[String] will return false, while the expression List(1).isInstanceOf[List[String]] will return true. In the latter example, because the type argument is erased as part of compilation it is not possible to check whether the contents of the list are of the requested typed.

    returns

    true if the receiver object is an instance of erasure of type T0; false otherwise.

    attributes: final
    definition classes: Any
  19. def mean [T] (items: T*)(implicit n: Numeric[T]) : Double

    Synonym for arithmeticMean.

    Synonym for arithmeticMean.

      see also:
    1. arithmeticMean

  20. def median [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculates the median of the values of the passed-in numbers.

    Calculates the median of the values of the passed-in numbers.

    items

    the numbers on which to operate

    returns

    the median

  21. def mode [T] (items: T*)(implicit n: Numeric[T]) : List[T]

    Calculates the mode (most common value(s)) of the values of the passed-in numbers.

    Calculates the mode (most common value(s)) of the values of the passed-in numbers. If there are multiple common values, they're all returned.

    items

    the numbers on which to operate

    returns

    list of modal values

  22. def ne (arg0: AnyRef) : Boolean

    o.ne(arg0) is the same as !(o.eq(arg0)).

    o.ne(arg0) is the same as !(o.eq(arg0)).

    arg0

    the object to compare against this object for reference dis-equality.

    returns

    false if the argument is not a reference to the receiver object; true otherwise.

    attributes: final
    definition classes: AnyRef
  23. def notify () : Unit

    Wakes up a single thread that is waiting on the receiver object's monitor.

    Wakes up a single thread that is waiting on the receiver object's monitor.

    attributes: final
    definition classes: AnyRef
  24. def notifyAll () : Unit

    Wakes up all threads that are waiting on the receiver object's monitor.

    Wakes up all threads that are waiting on the receiver object's monitor.

    attributes: final
    definition classes: AnyRef
  25. def popStdDev [T] (items: T*)(implicit n: Numeric[T]) : Double

    Shorter synonym for populationStandardDeviation.

    Shorter synonym for populationStandardDeviation.

      see also:
    1. populationStandardDeviation

  26. def populationStandardDeviation [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculate the population standard deviation of the specified values.

    Calculate the population standard deviation of the specified values. The population standard deviation is merely the square root of the population variance. Thus, this function is just shorthand for:

    java.lang.Math.sqrt(populationVariance(items))
    
    items

    the numbers on which to operate

    returns

    the standard deviation

  27. def populationVariance [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculate the population variance of the finite population defined by the items arguments.

    Calculate the population variance of the finite population defined by the items arguments. The population variance is defined as:

    1
    - *  SUM(i=1, N) { (x[i] - mean)^2^ }
    N
    

    See:

    - http://en.wikipedia.org/wiki/Variance#Population_variance_and_sample_variance- http://www.quickmba.com/stats/standard-deviation/

    items

    the numbers on which to operate

    returns

    the variance

  28. def range [T] (items: T*)(implicit n: Numeric[T]) : T

    Calculate the range of a data set.

    Calculate the range of a data set. This function does a single linear pass over the data set.

    items

    the numbers on which to operate

    returns

    the range

  29. def sampleStandardDeviation [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculate the sample standard deviation of the specified values.

    Calculate the sample standard deviation of the specified values. The sample standard deviation is merely the square root of the sample variance. Thus, this function is just shorthand for:

    java.lang.Math.sqrt(sampleVariance(items))
    
    items

    the numbers on which to operate

    returns

    the standard deviation

  30. def sampleStdDev [T] (items: T*)(implicit n: Numeric[T]) : Double

    Shorter synonym for sampleStandardDeviation.

    Shorter synonym for sampleStandardDeviation.

      see also:
    1. populationStandardDeviation

  31. def sampleVariance [T] (items: T*)(implicit n: Numeric[T]) : Double

    Calculate the unbiased sample variance of the finite sample defined by the items arguments.

    Calculate the unbiased sample variance of the finite sample defined by the items arguments. The sample variance is defined as:

      1
    ----- *   SUM(i=1, N) { (x[i] - sampleMean)^2^  }
    N - 1
    

    See:

    - http://en.wikipedia.org/wiki/Variance#Population_variance_and_sample_variance- http://www.quickmba.com/stats/standard-deviation/

    items

    the numbers on which to operate

    returns

    the variance

  32. def synchronized [T0] (arg0: T0) : T0

    attributes: final
    definition classes: AnyRef
  33. def toString () : String

    Returns a string representation of the object.

    Returns a string representation of the object.

    The default representation is platform dependent.

    returns

    a string representation of the object.

    definition classes: AnyRef → Any
  34. def wait () : Unit

    attributes: final
    definition classes: AnyRef
  35. def wait (arg0: Long, arg1: Int) : Unit

    attributes: final
    definition classes: AnyRef
  36. def wait (arg0: Long) : Unit

    attributes: final
    definition classes: AnyRef

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