Package Scientific :: Package Statistics

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Package Statistics

Basic monovariate statistics

Submodules

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Scientific.Statistics.Histogram: Standard and weighted histograms

Functions

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number average(data)
Mean (average value, first moment)

number correlation(data1, data2)
Calculates the correlation coefficient between two data sequences

number kurtosis(data)
Kurtosis (fourth normalized moment)

number mean(data)
Mean (average value, first moment)

number median(data)
Median

mode(data)

number moment(data, order, about=None, theoretical=1)
Calculate the moments of the distribution corresponding to a set of data

number normalizedMoment(data, order)
Calculate the normalized moments of the distribution corresponding to a set of data.

number skewness(data)
Skewness (third normalized moment)

number standardDeviation(data)
Standard deviation

number variance(data)
Variance (second moment)

tuple of two elements weightedMean(data, sigma)
Weighted mean of a sequence of numbers with given standard deviations

Function Details

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average(data)

Mean (average value, first moment)

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the mean of the number sequence

correlation(data1, data2)

Calculates the correlation coefficient between two data sequences

Parameters:

data1 (Numeric.array or list) - first data sequence
data2 (Numeric.array or list) - second data sequence of length identical to data1

Returns: number: the correlation coefficient between data1 and data2

Raises:

ValueError - if data1 and data2 have different lengths

kurtosis(data)

Kurtosis (fourth normalized moment)

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the kurtosis of the number sequence

mean(data)

Mean (average value, first moment)

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the mean of the number sequence

median(data)

Median

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the median of the number sequence

mode(data)

moment(data, order, about=None, theoretical=1)

Calculate the moments of the distribution corresponding to a set of data

Parameters:

data (Numeric.array of numbers) - a sequence of data points
order (int) - the order of the moment to be calculated
about (number) - the center of the distribution. If None, use the mean value as the center.
theoretical - for internal use

Returns: number: the moment of the given order about the specified center

normalizedMoment(data, order)

Calculate the normalized moments of the distribution corresponding to a set of data. Normalization means division by the n-th power of the standard deviation.

Parameters:

data (Numeric.array of numbers) - a sequence of data points
order (int) - the order of the moment to be calculated

Returns: number: the normalized moment of the given order

skewness(data)

Skewness (third normalized moment)

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the skewness of the number sequence

standardDeviation(data)

Standard deviation

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the standard deviation of the number sequence

variance(data)

Variance (second moment)

Parameters:

data (list or Numeric.array) - a sequence of numbers

Returns: number: the variance of the number sequence

weightedMean(data, sigma)

Weighted mean of a sequence of numbers with given standard deviations

Parameters:

data (list or Numeric.array) - a sequence of measurements
sigma (list or Numeric.array) - a sequence of corresponding standard deviations

Returns: tuple of two elements: the weighted mean and corresponding standard deviation