Math_Stats

# Element index for package Math_Stats

[ a ] [ b ] [ c ] [ f ] [ g ] [ h ] [ i ] [ k ] [ m ] [ p ] [ q ] [ r ] [ s ] [ v ] [ _ ]

## _

$_calculatedValues
  in file Stats.php, variable Base::$_calculatedValues
  Array for caching result values, should be reset when using setData()
$_data
  in file Stats.php, variable Base::$_data
  The simple or cummulative data set.
$_dataExpanded
  in file Stats.php, variable Base::$_dataExpanded
  Expanded data set. Only set when cummulative data is being used. Null by default.
$_dataOption
  in file Stats.php, variable Base::$_dataOption
  Flag for data type, one of STATS_DATA_SIMPLE or STATS_DATA_CUMMULATIVE. Null by default.
$_nullOption
  in file Stats.php, variable Base::$_nullOption
  Flag for null handling options. One of STATS_REJECT_NULL, STATS_IGNORE_NULL or STATS_USE_NULL_AS_ZERO

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## a

absDev
  in file Stats.php, method Base::absDev()
  Calculates the absolute deviation of the data points in the set Handles cummulative data sets correctly
absDevWithMean
  in file Stats.php, method Base::absDevWithMean()
  Calculates the absolute deviation of the data points in the set given a fixed mean (average) value. Not used in calcBasic(), calcFull() or calc().

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## b

Base
  in file Stats.php, class Base
  A class to calculate descriptive statistics from a data set.

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## c

calc
  in file Stats.php, method Base::calc()
  Calculates the basic or full statistics for the data set
calcBasic
  in file Stats.php, method Base::calcBasic()
  Calculates a basic set of statistics
calcFull
  in file Stats.php, method Base::calcFull()
  Calculates a full set of statistics
center
  in file Stats.php, method Base::center()
  Transforms the data by substracting each entry from the mean.
coeffOfVariation
  in file Stats.php, method Base::coeffOfVariation()
  Calculates the coefficient of variation of a data set.
count
  in file Stats.php, method Base::count()
  Calculates the number of data points in the set Handles cummulative data sets correctly

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## f

frequency
  in file Stats.php, method Base::frequency()
  Calculates the value frequency table of a data set.

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## g

geometricMean
  in file Stats.php, method Base::geometricMean()
  Calculates the geometrical mean of the data points in the set Handles cummulative data sets correctly
getData
  in file Stats.php, method Base::getData()
  Returns the data which might have been modified according to the current null handling options.

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## h

harmonicMean
  in file Stats.php, method Base::harmonicMean()
  Calculates the harmonic mean of the data points in the set Handles cummulative data sets correctly

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## i

interquartileMean
  in file Stats.php, method Base::interquartileMean()
  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
  in file Stats.php, method Base::interquartileRange()
  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.

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## k

kurtosis
  in file Stats.php, method Base::kurtosis()
  Calculates the kurtosis of the data distribution in the set The kurtosis measures the degrees of peakedness of a distribution.

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## m

Math_Stats
  in file Stats.php, method Base::Math_Stats()
  Constructor for the class
max
  in file Stats.php, method Base::max()
  Calculates the maximum of a data set.
mean
  in file Stats.php, method Base::mean()
  Calculates the mean (average) of the data points in the set Handles cummulative data sets correctly
median
  in file Stats.php, method Base::median()
  Calculates the median of a data set.
midrange
  in file Stats.php, method Base::midrange()
  Calculates the midrange of a data set.
min
  in file Stats.php, method Base::min()
  Calculates the minimum of a data set.
mode
  in file Stats.php, method Base::mode()
  Calculates the mode of a data set.

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## p

percentile
  in file Stats.php, method Base::percentile()
  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
  in file Stats.php, method Base::product()
  Calculates PROD { (xi) }, (the product of all observations) Handles cummulative data sets correctly
productN
  in file Stats.php, method Base::productN()
  Calculates PROD { (xi)^n }, which is the product of all observations Handles cummulative data sets correctly

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## q

quartileDeviation
  in file Stats.php, method Base::quartileDeviation()
  The quartile deviation is half of the interquartile range value
quartiles
  in file Stats.php, method Base::quartiles()
  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
  in file Stats.php, method Base::quartileSkewnessCoefficient()
  The quartile skewness coefficient (also known as Bowley Skewness), is defined as follows:
quartileVariationCoefficient
  in file Stats.php, method Base::quartileVariationCoefficient()
  The quartile variation coefficient is defines as follows:

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## r

range
  in file Stats.php, method Base::range()
  Calculates the range of the data set = max - min

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## s

Stats.php
  procedural page Stats.php
sampleCentralMoment
  in file Stats.php, method Base::sampleCentralMoment()
  Calculates the nth central moment (m{n}) of a data set.
sampleRawMoment
  in file Stats.php, method Base::sampleRawMoment()
  Calculates the nth raw moment (m{n}) of a data set.
setData
  in file Stats.php, method Base::setData()
  Sets and verifies the data, checking for nulls and using the current null handling option
setNullOption
  in file Stats.php, method Base::setNullOption()
  Sets the null handling option.
skewness
  in file Stats.php, method Base::skewness()
  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
  in file Stats.php, constant STATS_BASIC
  STATS_BASIC to generate the basic descriptive statistics
STATS_DATA_CUMMULATIVE
  in file Stats.php, constant STATS_DATA_CUMMULATIVE
  STATS_DATA_CUMMULATIVE for an associative array of frequency values,
STATS_DATA_SIMPLE
  in file Stats.php, constant STATS_DATA_SIMPLE
  STATS_DATA_SIMPLE for an array of numeric values. This is the default.
STATS_FULL
  in file Stats.php, constant STATS_FULL
  STATS_FULL to generate also higher moments, mode, median, etc.
STATS_IGNORE_NULL
  in file Stats.php, constant STATS_IGNORE_NULL
  STATS_IGNORE_NULL, ignore null values and prune them from the data.
STATS_REJECT_NULL
  in file Stats.php, constant STATS_REJECT_NULL
  STATS_REJECT_NULL, reject data sets with null values. This is the default.
STATS_USE_NULL_AS_ZERO
  in file Stats.php, constant STATS_USE_NULL_AS_ZERO
  STATS_USE_NULL_AS_ZERO, assign the value of 0 (zero) to null values.
stdErrorOfMean
  in file Stats.php, method Base::stdErrorOfMean()
  Calculates the standard error of the mean.
stDev
  in file Stats.php, method Base::stDev()
  Calculates the standard deviation (unbiased) of the data points in the set Handles cummulative data sets correctly
stDevWithMean
  in file Stats.php, method Base::stDevWithMean()
  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
  in file Stats.php, method Base::studentize()
  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
  in file Stats.php, method Base::sum()
  Calculates SUM { xi } Handles cummulative data sets correctly
sum2
  in file Stats.php, method Base::sum2()
  Calculates SUM { (xi)^2 } Handles cummulative data sets correctly
sumN
  in file Stats.php, method Base::sumN()
  Calculates SUM { (xi)^n } Handles cummulative data sets correctly

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## v

variance
  in file Stats.php, method Base::variance()
  Calculates the variance (unbiased) of the data points in the set Handles cummulative data sets correctly
varianceWithMean
  in file Stats.php, method Base::varianceWithMean()
  Calculates the variance (unbiased) of the data points in the set given a fixed mean (average) value. Not used in calcBasic(), calcFull() or calc().

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Documentation generated on Fri, 12 Oct 2012 00:15:04 +0200 by phpDocumentor 1.4.4