Inheritance diagram for Tally:

Collaboration diagram for Tally:

Public Member Functions
	Tally ()
	Constructs a new unnamed `Tally` statistical probe.

	Tally (String name)
	Constructs a new `Tally` statistical probe with name `name`. More...

void	setName (String name)
	Set the name of this `Tally` to `name`. More...

void	init ()

void	add (double x)
	Gives a new observation `x` to the statistical collector. More...

void	add (double[] x, int number)
	Adds the first `number` observations from the array `x` to this probe.

int	numberObs ()
	Returns the number of observations given to this probe since its last initialization. More...

double	sum ()

double	average ()
	Returns the average value of the observations since the last initialization.

double	variance ()
	Returns the sample variance of the observations since the last initialization. More...

double	standardDeviation ()
	Returns the sample standard deviation of the observations since the last initialization. More...

void	confidenceIntervalNormal (double level, double[] centerAndRadius)
	Computes a confidence interval on the mean. More...

void	confidenceIntervalStudent (double level, double[] centerAndRadius)
	Computes a confidence interval on the mean. More...

String	formatCINormal (double level, int d)
	Similar to confidenceIntervalNormal. More...

String	formatCINormal (double level)
	Equivalent to `formatCINormal (level, 3)`. More...

String	formatCIStudent (double level, int d)
	Similar to confidenceIntervalStudent. More...

String	formatCIStudent (double level)
	Equivalent to `formatCIStudent (level, 3)`. More...

void	confidenceIntervalVarianceChi2 (double level, double[] interval)
	Computes a confidence interval on the variance. More...

String	formatCIVarianceChi2 (double level, int d)
	Similar to confidenceIntervalVarianceChi2. More...

String	report ()
	Returns a formatted string that contains a report on this probe. More...

String	report (double level, int d)
	Returns a formatted string that contains a report on this probe with a confidence interval level `level` using \(d\) fractional decimal digits. More...

String	shortReportHeader ()

String	shortReport ()
	Formats and returns a short statistical report for this tally. More...

String	reportAndCIStudent (double level, int d)
	Returns a formatted string that contains a report on this probe (as in report ), followed by a confidence interval (as in formatCIStudent ), using \(d\) fractional decimal digits. More...

String	reportAndCIStudent (double level)
	Same as reportAndCIStudent(level, 3). More...

double	getConfidenceLevel ()
	Returns the level of confidence for the intervals on the mean displayed in reports. More...

void	setConfidenceLevel (double level)
	Sets the level of confidence for the intervals on the mean displayed in reports. More...

void	setConfidenceIntervalNone ()
	Indicates that no confidence interval needs to be printed in reports formatted by report, and shortReport. More...

void	setConfidenceIntervalNormal ()
	Indicates that a confidence interval on the true mean, based on the central limit theorem, needs to be included in reports formatted by report and shortReport. More...

void	setConfidenceIntervalStudent ()
	Indicates that a confidence interval on the true mean, based on the normality assumption, needs to be included in reports formatted by report and shortReport. More...

void	setShowNumberObs (boolean showNumObs)
	Determines if the number of observations must be displayed in reports. More...

Tally	clone ()
	Clones this object.

Public Member Functions inherited from StatProbe
abstract void	init ()
	Initializes the statistical collector.

void	setName (String name)
	Sets the name of this statistical collector to `name`.

String	getName ()
	Returns the name associated with this probe, or `null` if no name was specified upon construction. More...

double	min ()
	Returns the smallest value taken by the variable since the last initialization of this probe. More...

double	max ()
	Returns the largest value taken by the variable since the last initialization of this probe. More...

double	sum ()
	Returns the sum cumulated so far for this probe. More...

abstract double	average ()
	Returns the average for this collector. More...

abstract String	report ()
	Returns a string containing a report for this statistical collector. More...

abstract String	shortReport ()
	Formats and returns a short, one-line report about this statistical probe. More...

abstract String	shortReportHeader ()
	Returns a string containing the name of the values returned in the report strings. More...

boolean	isBroadcasting ()
	Determines if this statistical probe is broadcasting observations to registered observers. More...

void	setBroadcasting (boolean b)
	Instructs the probe to turn its broadcasting ON or OFF. More...

boolean	isCollecting ()
	Determines if this statistical probe is collecting values. More...

void	setCollecting (boolean b)
	Turns ON or OFF the collection of statistical observations. More...

void	addObservationListener (ObservationListener l)
	Adds the observation listener `l` to the list of observers of this statistical probe. More...

void	removeObservationListener (ObservationListener l)
	Removes the observation listener `l` from the list of observers of this statistical probe. More...

void	clearObservationListeners ()
	Removes all observation listeners from the list of observers of this statistical probe.

void	notifyListeners (double x)
	Notifies the observation `x` to all registered observers if broadcasting is ON. More...

StatProbe	clone () throws CloneNotSupportedException

Protected Attributes
int	numObs

CIType	confidenceInterval = CIType.CI_NONE

double	level = 0.95

int	digits = 3

Protected Attributes inherited from StatProbe
String	name

double	maxValue

double	minValue

double	sumValue

boolean	collect = true

boolean	broadcast = false

boolean	showNobs = true

Additional Inherited Members
Static Public Member Functions inherited from StatProbe
static String	report (String globalName, StatProbe[] probes)
	Formats short reports for each statistical probe in the array `probes` while aligning the probes’ names. More...

static String	report (String globalName, Iterable<? extends StatProbe > probes)
	Equivalent to #report(String,StatProbe[]), except that `probes` is an Iterable object instead of an array. More...

Detailed Description

A subclass of StatProbe.

This type of statistical collector takes a sequence of real-valued observations \(X_1,X_2,X_3,…\) and can return the average, the variance, a confidence interval for the theoretical mean, etc. Each call to add provides a new observation. When the broadcasting to observers is activated, the method add will also pass this new information to its registered observers. This type of collector does not memorize the individual observations, but only their number, sum, sum of squares, maximum, and minimum. The subclass TallyStore offers a collector that memorizes the observations.

Constructor & Destructor Documentation

◆ Tally()

Tally ( String name )

Constructs a new Tally statistical probe with name name.

Parameters

name	name of the tally

Member Function Documentation

◆ add()

void add ( double x )

Gives a new observation x to the statistical collector.

If broadcasting to observers is activated for this object, this method also transmits the new information to the registered observers by invoking the method notifyListeners.

Parameters

x	observation being added to this Tally object

◆ confidenceIntervalNormal()

void confidenceIntervalNormal	(	double	level,
		double []	centerAndRadius
	)

Computes a confidence interval on the mean.

Returns, in elements 0 and 1 of the array object centerAndRadius[], the center and half-length (radius) of a confidence interval on the true mean of the random variable \(X\), with confidence level level, assuming that the \(n\) observations given to this collector are independent and identically distributed (i.i.d.) copies of \(X\), and that \(n\) is large enough for the central limit theorem to hold. This confidence interval is computed based on the statistic

\[ Z = {\bar{X}_n - \mu\over{S_{n,x}/\sqrt{n}}} \]

where \(n\) is the number of observations given to this collector since its last initialization, \(\bar{X}_n =\) average() is the average of these observations, \(S_{n,x} =\) standardDeviation() is the empirical standard deviation. Under the assumption that the observations of \(X\) are i.i.d. and \(n\) is large, \(Z\) has the standard normal distribution. The confidence interval given by this method is valid only if this assumption is approximately verified.

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
centerAndRadius	array of size 2 in which are returned the center and radius of the confidence interval, respectively

◆ confidenceIntervalStudent()

void confidenceIntervalStudent	(	double	level,
		double []	centerAndRadius
	)

Computes a confidence interval on the mean.

Returns, in elements 0 and 1 of the array object centerAndRadius[], the center and half-length (radius) of a confidence interval on the true mean of the random variable \(X\), with confidence level level, assuming that the observations given to this collector are independent and identically distributed (i.i.d.) copies of \(X\), and that \(X\) has the normal distribution. This confidence interval is computed based on the statistic

\[ T = {\bar{X}_n - \mu\over{S_{n,x}/\sqrt{n}}} \]

where \(n\) is the number of observations given to this collector since its last initialization, \(\bar{X}_n =\) average() is the average of these observations, \(S_{n,x} =\) standardDeviation() is the empirical standard deviation. Under the assumption that the observations of \(X\) are i.i.d. and normally distributed, \(T\) has the Student distribution with \(n-1\) degrees of freedom. The confidence interval given by this method is valid only if this assumption is approximately verified, or if \(n\) is large enough so that \(\bar{X}_n\) is approximately normally distributed.

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
centerAndRadius	array of size 2 in which are returned the center and radius of the confidence interval, respectively

◆ confidenceIntervalVarianceChi2()

void confidenceIntervalVarianceChi2	(	double	level,
		double []	interval
	)

Computes a confidence interval on the variance.

Returns, in elements 0 and 1 of array interval, the left and right boundaries \([I_1,I_2]\) of a confidence interval on the true variance \(\sigma^2\) of the random variable \(X\), with confidence level level, assuming that the observations given to this collector are independent and identically distributed (i.i.d.) copies of \(X\), and that \(X\) has the normal distribution. This confidence interval is computed based on the statistic \( \chi^2_{n-1} = (n-1)S^2_n/\sigma^2 \) where \(n\) is the number of observations given to this collector since its last initialization, and \(S^2_n =\) variance() is the empirical variance of these observations. Under the assumption that the observations of \(X\) are i.i.d. and normally distributed, \(\chi^2_{n-1}\) has the chi-square distribution with \(n-1\) degrees of freedom. Given the level \( = 1 - \alpha\), one has \(P[\chi^2_{n-1} < x_1] = P[\chi^2_{n-1} > x_2] = \alpha/2\) and \([I_1,I_2] = [(n-1)S^2_n/x_2,\; (n-1)S^2_n/x_1]\).

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
interval	array of size 2 in which are returned the left and right boundaries of the confidence interval, respectively

◆ formatCINormal() [1/2]

String formatCINormal	(	double	level,
		int	d
	)

Similar to confidenceIntervalNormal.

Returns the confidence interval in a formatted string of the form

"95% confidence interval for mean (normal): (32.431, 32.487)",

using \(d\) fractional decimal digits.

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
d	number of fractional decimal digits

Returns: a confidence interval formatted as a string

◆ formatCINormal() [2/2]

String formatCINormal ( double level )

Equivalent to formatCINormal (level, 3).

Parameters

level desired probability that the (random) confidence interval covers the true mean (a constant)

Returns: a confidence interval formatted as a string

◆ formatCIStudent() [1/2]

String formatCIStudent	(	double	level,
		int	d
	)

Similar to confidenceIntervalStudent.

Returns the confidence interval in a formatted string of the form

"95% confidence interval for mean (student): (32.431, 32.487)",

using \(d\) fractional decimal digits.

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
d	number of fractional decimal digits

Returns: a confidence interval formatted as a string

◆ formatCIStudent() [2/2]

String formatCIStudent ( double level )

Equivalent to formatCIStudent (level, 3).

Parameters

level desired probability that the (random) confidence interval covers the true mean (a constant)

Returns: a confidence interval formatted as a string

◆ formatCIVarianceChi2()

String formatCIVarianceChi2	(	double	level,
		int	d
	)

Returns the confidence interval in a formatted string of the form

"95.0% confidence interval for variance (chi2): ( 510.642, 519.673 )",

using \(d\) fractional decimal digits.

Parameters

level	desired probability that the (random) confidence interval covers the true variance
d	number of fractional decimal digits

Returns: a confidence interval formatted as a string

◆ getConfidenceLevel()

double getConfidenceLevel ( )

Returns the level of confidence for the intervals on the mean displayed in reports.

The default confidence level is 0.95.

Returns: desired probability that the (random) confidence interval covers the true mean (a constant)

◆ numberObs()

int numberObs ( )

Returns the number of observations given to this probe since its last initialization.

Returns: the number of collected observations

◆ report() [1/2]

String report ( )

Returns a formatted string that contains a report on this probe.

Returns: a statistical report formatted as a string

◆ report() [2/2]

String report	(	double	level,
		int	d
	)

Returns a formatted string that contains a report on this probe with a confidence interval level level using \(d\) fractional decimal digits.

Parameters

level	desired probability that the confidence interval covers the true mean
d	number of fractional decimal digits

Returns: a statistical report formatted as a string

◆ reportAndCIStudent() [1/2]

String reportAndCIStudent	(	double	level,
		int	d
	)

Returns a formatted string that contains a report on this probe (as in report ), followed by a confidence interval (as in formatCIStudent ), using \(d\) fractional decimal digits.

Parameters

level	desired probability that the (random) confidence interval covers the true mean (a constant)
d	number of fractional decimal digits

Returns: a statistical report with a confidence interval, formatted as a string

◆ reportAndCIStudent() [2/2]

String reportAndCIStudent ( double level )

Same as reportAndCIStudent(level, 3).

Parameters

level desired probability that the (random) confidence interval covers the true mean (a constant)

Returns: a statistical report with a confidence interval, formatted as a string

◆ setConfidenceIntervalNone()

void setConfidenceIntervalNone ( )

Indicates that no confidence interval needs to be printed in reports formatted by report, and shortReport.

This restores the default behavior of the reporting system.

◆ setConfidenceIntervalNormal()

void setConfidenceIntervalNormal ( )

Indicates that a confidence interval on the true mean, based on the central limit theorem, needs to be included in reports formatted by report and shortReport.

The confidence interval is formatted using formatCINormal.

◆ setConfidenceIntervalStudent()

void setConfidenceIntervalStudent ( )

Indicates that a confidence interval on the true mean, based on the normality assumption, needs to be included in reports formatted by report and shortReport.

The confidence interval is formatted using formatCIStudent.

◆ setConfidenceLevel()

void setConfidenceLevel ( double level )

Sets the level of confidence for the intervals on the mean displayed in reports.

Parameters

level desired probability that the (random) confidence interval covers the true mean (a constant)

◆ setName()

void setName ( String name )

Set the name of this Tally to name.

Parameters

name	name of the tally

◆ setShowNumberObs()

void setShowNumberObs ( boolean showNumObs )

Determines if the number of observations must be displayed in reports.

By default, the number of observations is displayed.

Parameters

showNumObs the value of the indicator.

◆ shortReport()

String shortReport ( )

Formats and returns a short statistical report for this tally.

The returned single-line report contains the minimum value, the maximum value, the average, the variance, and the standard deviation, in that order, separated by three spaces. If the number of observations is shown in the short report, a column containing the number of observations in this tally is added.

Returns: the string containing the report.

◆ standardDeviation()

double standardDeviation ( )

Returns the sample standard deviation of the observations since the last initialization.

This returns Double.NaN if the tally contains less than two observations.

Returns: the standard deviation of the observations

◆ variance()

double variance ( )

Returns the sample variance of the observations since the last initialization.

This returns Double.NaN if the tally contains less than two observations.

Returns: the variance of the observations

The documentation for this class was generated from the following file:

Tally.java

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Tally()

Member Function Documentation

◆ add()

◆ confidenceIntervalNormal()

◆ confidenceIntervalStudent()

◆ confidenceIntervalVarianceChi2()

◆ formatCINormal() [1/2]

◆ formatCINormal() [2/2]

◆ formatCIStudent() [1/2]

◆ formatCIStudent() [2/2]

◆ formatCIVarianceChi2()

◆ getConfidenceLevel()

◆ numberObs()

◆ report() [1/2]

◆ report() [2/2]

◆ reportAndCIStudent() [1/2]

◆ reportAndCIStudent() [2/2]

◆ setConfidenceIntervalNone()

◆ setConfidenceIntervalNormal()

◆ setConfidenceIntervalStudent()

◆ setConfidenceLevel()

◆ setName()

◆ setShowNumberObs()

◆ shortReport()

◆ standardDeviation()

◆ variance()