stats

object stats

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))

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def arithmeticMean[T](item: T, items: T*)(implicit arg0: 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.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the arithmetic mean
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def geometricMean[T](item: T, items: T*)(implicit arg0: 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, see http://www.math.toronto.edu/mathnet/questionCorner/geomean.html.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the geometric mean
final def getClass(): Class[_ <: AnyRef]
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def harmonicMean[T](item: T, items: T*)(implicit arg0: Numeric[T]): Double
Calculates the harmonic mean of the values of the passed-in numbers, namely: n / (1/x¹ + 1/x² + ... + 1/xⁿ).
Calculates the harmonic mean of the values of the passed-in numbers, namely: n / (1/x¹ + 1/x² + ... + 1/xⁿ).
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the harmonic mean
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def mean[T](item: T, items: T*)(implicit arg0: Numeric[T]): Double
Synonym for arithmeticMean.
Synonym for arithmeticMean.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the arithmetic mean
See also
arithmeticMean
def median[T](item: T, items: T*)(implicit arg0: 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.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the median
def mode[T](item: T, items: T*)(implicit arg0: 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.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
list of modal values
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def popStdDev[T](item: T, items: T*)(implicit arg0: Numeric[T]): Double
Shorter synonym for populationStandardDeviation.
Shorter synonym for populationStandardDeviation.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the standard deviation
def populationStandardDeviation[T](item: T, items: T*)(implicit arg0: 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))
```
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the standard deviation
def populationVariance[T](item: T, items: T*)(implicit arg0: 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/
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the variance
def range[T](item: T, items: T*)(implicit arg0: 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.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the range
def sampleStandardDeviation[T](item: T, items: T*)(implicit arg0: 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))
```
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the sample standard deviation
def sampleStdDev[T](item: T, items: T*)(implicit arg0: Numeric[T]): Double
Shorter synonym for sampleStandardDeviation.
Shorter synonym for sampleStandardDeviation.
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the sample standard deviation
See also
populationStandardDeviation
def sampleVariance[T](item: T, items: T*)(implicit arg0: 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/
item
the first number on which to operate
items
the remaining numbers on which to operate
returns
the variance
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