Documentation

StandardNormal
in package
Uses ArrayEnabled

Table of Contents

Properties

$arrayArgumentHelper  : ArrayArgumentHelper
$initializationNeeded  : bool

Methods

cumulative()  : array<string|int, mixed>|float|string
NORMSDIST.
distribution()  : array<string|int, mixed>|float|string
NORM.S.DIST.
gauss()  : array<string|int, mixed>|float|string
GAUSS.
inverse()  : array<string|int, mixed>|float|string
NORMSINV.
zTest()  : array<string|int, mixed>|float|string
ZTEST.
evaluateArrayArguments()  : array<string|int, mixed>
Handles array argument processing when the function accepts multiple arguments, and any of them can be an array argument.
evaluateArrayArgumentsIgnore()  : array<string|int, mixed>
Handles array argument processing when the function accepts multiple arguments, and any of them can be an array argument except for the one specified by ignore.
evaluateArrayArgumentsSubset()  : array<string|int, mixed>
Handles array argument processing when the function accepts multiple arguments, but only the first few (up to limit) can be an array arguments.
evaluateArrayArgumentsSubsetFrom()  : array<string|int, mixed>
Handles array argument processing when the function accepts multiple arguments, but only the last few (from start) can be an array arguments.
evaluateSingleArgumentArray()  : array<string|int, mixed>
Handles array argument processing when the function accepts a single argument that can be an array argument.
initialiseHelper()  : void
testFalse()  : bool

Properties

$initializationNeeded

private static bool $initializationNeeded = true

Methods

cumulative()

NORMSDIST.

public static cumulative(mixed $value) : array<string|int, mixed>|float|string

Returns the standard normal cumulative distribution function. The distribution has a mean of 0 (zero) and a standard deviation of one. Use this function in place of a table of standard normal curve areas.

NOTE: We don't need to check for arrays to array-enable this function, because that is already handled by the logic in Normal::distribution() All we need to do is pass the value through as scalar or as array.

Parameters
$value : mixed

Float value for which we want the probability Or can be an array of values

Return values
array<string|int, mixed>|float|string

The result, or a string containing an error If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions

distribution()

NORM.S.DIST.

public static distribution(mixed $value, mixed $cumulative) : array<string|int, mixed>|float|string

Returns the standard normal cumulative distribution function. The distribution has a mean of 0 (zero) and a standard deviation of one. Use this function in place of a table of standard normal curve areas.

NOTE: We don't need to check for arrays to array-enable this function, because that is already handled by the logic in Normal::distribution() All we need to do is pass the value and cumulative through as scalar or as array.

Parameters
$value : mixed

Float value for which we want the probability Or can be an array of values

$cumulative : mixed

Boolean value indicating if we want the cdf (true) or the pdf (false) Or can be an array of values

Return values
array<string|int, mixed>|float|string

The result, or a string containing an error If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions

gauss()

GAUSS.

public static gauss(mixed $value) : array<string|int, mixed>|float|string

Calculates the probability that a member of a standard normal population will fall between the mean and z standard deviations from the mean.

Parameters
$value : mixed

Or can be an array of values

Return values
array<string|int, mixed>|float|string

The result, or a string containing an error If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions

inverse()

NORMSINV.

public static inverse(mixed $value) : array<string|int, mixed>|float|string

Returns the inverse of the standard normal cumulative distribution

Parameters
$value : mixed

float probability for which we want the value Or can be an array of values

NOTE: We don't need to check for arrays to array-enable this function, because that is already handled by the logic in Normal::inverse() All we need to do is pass the value through as scalar or as array

Return values
array<string|int, mixed>|float|string

The result, or a string containing an error If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions

zTest()

ZTEST.

public static zTest(mixed $dataSet, mixed $m0[, mixed $sigma = null ]) : array<string|int, mixed>|float|string

Returns the one-tailed P-value of a z-test.

For a given hypothesized population mean, x, Z.TEST returns the probability that the sample mean would be greater than the average of observations in the data set (array) — that is, the observed sample mean.

Parameters
$dataSet : mixed

The dataset should be an array of float values for the observations

$m0 : mixed

Alpha Parameter Or can be an array of values

$sigma : mixed = null

A null or float value for the Beta (Standard Deviation) Parameter; if null, we use the standard deviation of the dataset Or can be an array of values

Return values
array<string|int, mixed>|float|string

(string if result is an error) If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions

evaluateArrayArguments()

Handles array argument processing when the function accepts multiple arguments, and any of them can be an array argument.

protected static evaluateArrayArguments(callable $method, mixed ...$arguments) : array<string|int, mixed>

Example use for: ROUND() or DATE().

Parameters
$method : callable
$arguments : mixed
Return values
array<string|int, mixed>

evaluateArrayArgumentsIgnore()

Handles array argument processing when the function accepts multiple arguments, and any of them can be an array argument except for the one specified by ignore.

protected static evaluateArrayArgumentsIgnore(callable $method, int $ignore, mixed ...$arguments) : array<string|int, mixed>

Example use for: HLOOKUP() and VLOOKUP(), where argument 1 is a matrix that needs to be treated as a database rather than as an array argument.

Parameters
$method : callable
$ignore : int
$arguments : mixed
Return values
array<string|int, mixed>

evaluateArrayArgumentsSubset()

Handles array argument processing when the function accepts multiple arguments, but only the first few (up to limit) can be an array arguments.

protected static evaluateArrayArgumentsSubset(callable $method, int $limit, mixed ...$arguments) : array<string|int, mixed>

Example use for: NETWORKDAYS() or CONCATENATE(), where the last argument is a matrix (or a series of values) that need to be treated as a such rather than as an array arguments.

Parameters
$method : callable
$limit : int
$arguments : mixed
Return values
array<string|int, mixed>

evaluateArrayArgumentsSubsetFrom()

Handles array argument processing when the function accepts multiple arguments, but only the last few (from start) can be an array arguments.

protected static evaluateArrayArgumentsSubsetFrom(callable $method, int $start, mixed ...$arguments) : array<string|int, mixed>

Example use for: Z.TEST() or INDEX(), where the first argument 1 is a matrix that needs to be treated as a dataset rather than as an array argument.

Parameters
$method : callable
$start : int
$arguments : mixed
Return values
array<string|int, mixed>

evaluateSingleArgumentArray()

Handles array argument processing when the function accepts a single argument that can be an array argument.

protected static evaluateSingleArgumentArray(callable $method, array<string|int, mixed> $values) : array<string|int, mixed>

Example use for: DAYOFMONTH() or FACT().

Parameters
$method : callable
$values : array<string|int, mixed>
Return values
array<string|int, mixed>

initialiseHelper()

private static initialiseHelper(array<string|int, mixed>|false $arguments) : void
Parameters
$arguments : array<string|int, mixed>|false

Can be changed to array for Php8.1+

testFalse()

private static testFalse(mixed $value) : bool
Parameters
$value : mixed
Return values
bool

        
On this page

Search results