[Math_Stats] element index

Package indexes

• Math_Complex
• Math_Fibonacci
• Math_Histogram
• Math_Integer
• Math_Matrix
• Math_Quaternion
• Math_TrigOp
• Math_Vector
• Message
• Science_Chemistry

absDev

Math_Stats::absDev() in Stats.php

Calculates the absolute deviation of the data points in the set Handles cummulative data sets correctly

absDevWithMean

Math_Stats::absDevWithMean() in Stats.php

Calculates the absolute deviation of the data points in the set given a fixed mean (average) value. Not used in calcBasic(), calcFull() or calc().

calc

Math_Stats::calc() in Stats.php

Calculates the basic or full statistics for the data set

calcBasic

Math_Stats::calcBasic() in Stats.php

Calculates a basic set of statistics

calcFull

Math_Stats::calcFull() in Stats.php

Calculates a full set of statistics

center

Math_Stats::center() in Stats.php

Transforms the data by substracting each entry from the mean.

coeffOfVariation

Math_Stats::coeffOfVariation() in Stats.php

Calculates the coefficient of variation of a data set.

count

Math_Stats::count() in Stats.php

Calculates the number of data points in the set Handles cummulative data sets correctly

frequency

Math_Stats::frequency() in Stats.php

Calculates the value frequency table of a data set.

geometricMean

Math_Stats::geometricMean() in Stats.php

Calculates the geometrical mean of the data points in the set Handles cummulative data sets correctly

getData

Math_Stats::getData() in Stats.php

Returns the data which might have been modified according to the current null handling options.

harmonicMean

Math_Stats::harmonicMean() in Stats.php

Calculates the harmonic mean of the data points in the set Handles cummulative data sets correctly

interquartileMean

Math_Stats::interquartileMean() in Stats.php

The interquartile mean is defined as the mean of the values left after discarding the lower 25% and top 25% ranked values, i.e.:

interquartileRange

Math_Stats::interquartileRange() in Stats.php

The interquartile range is the distance between the 75th and 25th percentiles. Basically the range of the middle 50% of the data set, and thus is not affected by outliers or extreme values.

kurtosis

Math_Stats::kurtosis() in Stats.php

Calculates the kurtosis of the data distribution in the set The kurtosis measures the degrees of peakedness of a distribution.

Math_Stats

Math_Stats in Stats.php

A class to calculate descriptive statistics from a data set.

Math_Stats

Math_Stats::Math_Stats() in Stats.php

Constructor for the class

max

Math_Stats::max() in Stats.php

Calculates the maximum of a data set.

mean

Math_Stats::mean() in Stats.php

Calculates the mean (average) of the data points in the set Handles cummulative data sets correctly

median

Math_Stats::median() in Stats.php

Calculates the median of a data set.

midrange

Math_Stats::midrange() in Stats.php

Calculates the midrange of a data set.

min

Math_Stats::min() in Stats.php

Calculates the minimum of a data set.

mode

Math_Stats::mode() in Stats.php

Calculates the mode of a data set.

percentile

Math_Stats::percentile() in Stats.php

The pth percentile is the value such that p% of the a sorted data set is smaller than it, and (100 - p)% of the data is larger.

product

Math_Stats::product() in Stats.php

Calculates PROD { (xi) }, (the product of all observations) Handles cummulative data sets correctly

productN

Math_Stats::productN() in Stats.php

Calculates PROD { (xi)^n }, which is the product of all observations Handles cummulative data sets correctly

quartileDeviation

Math_Stats::quartileDeviation() in Stats.php

The quartile deviation is half of the interquartile range value

quartiles

Math_Stats::quartiles() in Stats.php

The quartiles are defined as the values that divide a sorted data set into four equal-sized subsets, and correspond to the 25th, 50th, and 75th percentiles.

quartileSkewnessCoefficient

Math_Stats::quartileSkewnessCoefficient() in Stats.php

The quartile skewness coefficient (also known as Bowley Skewness), is defined as follows:

quartileVariationCoefficient

Math_Stats::quartileVariationCoefficient() in Stats.php

The quartile variation coefficient is defines as follows:

range

Math_Stats::range() in Stats.php

Calculates the range of the data set = max - min

Stats.php

Stats.php in Stats.php

sampleCentralMoment

Math_Stats::sampleCentralMoment() in Stats.php

Calculates the nth central moment (m{n}) of a data set.

sampleRawMoment

Math_Stats::sampleRawMoment() in Stats.php

Calculates the nth raw moment (m{n}) of a data set.

setData

Math_Stats::setData() in Stats.php

Sets and verifies the data, checking for nulls and using the current null handling option

setNullOption

Math_Stats::setNullOption() in Stats.php

Sets the null handling option.

skewness

Math_Stats::skewness() in Stats.php

Calculates the skewness of the data distribution in the set The skewness measures the degree of asymmetry of a distribution, and is related to the third central moment of a distribution.

STATS_BASIC

STATS_BASIC in Stats.php

STATS_BASIC to generate the basic descriptive statistics

STATS_DATA_CUMMULATIVE

STATS_DATA_CUMMULATIVE in Stats.php

STATS_DATA_CUMMULATIVE for an associative array of frequency values,

STATS_DATA_SIMPLE

STATS_DATA_SIMPLE in Stats.php

STATS_DATA_SIMPLE for an array of numeric values. This is the default.

STATS_FULL

STATS_FULL in Stats.php

STATS_FULL to generate also higher moments, mode, median, etc.

STATS_IGNORE_NULL

STATS_IGNORE_NULL in Stats.php

STATS_IGNORE_NULL, ignore null values and prune them from the data.

STATS_REJECT_NULL

STATS_REJECT_NULL in Stats.php

STATS_REJECT_NULL, reject data sets with null values. This is the default.

STATS_USE_NULL_AS_ZERO

STATS_USE_NULL_AS_ZERO in Stats.php

STATS_USE_NULL_AS_ZERO, assign the value of 0 (zero) to null values.

stdErrorOfMean

Math_Stats::stdErrorOfMean() in Stats.php

Calculates the standard error of the mean.

stDev

Math_Stats::stDev() in Stats.php

Calculates the standard deviation (unbiased) of the data points in the set Handles cummulative data sets correctly

stDevWithMean

Math_Stats::stDevWithMean() in Stats.php

Calculates the standard deviation (unbiased) of the data points in the set given a fixed mean (average) value. Not used in calcBasic(), calcFull() or calc().

studentize

Math_Stats::studentize() in Stats.php

Transforms the data by substracting each entry from the mean and dividing by its standard deviation. This will reset all pre-calculated values to their original (unset) defaults.

sum

Math_Stats::sum() in Stats.php

Calculates SUM { xi } Handles cummulative data sets correctly

sum2

Math_Stats::sum2() in Stats.php

Calculates SUM { (xi)^2 } Handles cummulative data sets correctly

sumN

Math_Stats::sumN() in Stats.php

Calculates SUM { (xi)^n } Handles cummulative data sets correctly

variance

Math_Stats::variance() in Stats.php

Calculates the variance (unbiased) of the data points in the set Handles cummulative data sets correctly

varianceWithMean

Math_Stats::varianceWithMean() in Stats.php

Calculates the variance (unbiased) of the data points in the set given a fixed mean (average) value. Not used in calcBasic(), calcFull() or calc().