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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