Binomial
in package
uses
ArrayEnabled
Table of Contents
Methods
- distribution() : array<string|int, mixed>|float|string
- BINOMDIST.
- inverse() : array<string|int, mixed>|int|string
- BINOM.INV.
- negative() : array<string|int, mixed>|float|string
- NEGBINOMDIST.
- range() : array<string|int, mixed>|float|int|string
- BINOM.DIST.RANGE.
- 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.
Methods
distribution()
BINOMDIST.
public
static distribution(mixed $value, mixed $trials, mixed $probability, mixed $cumulative) : array<string|int, mixed>|float|string
Returns the individual term binomial distribution probability. Use BINOMDIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOMDIST can calculate the probability that two of the next three babies born are male.
Parameters
- $value : mixed
-
Integer number of successes in trials Or can be an array of values
- $trials : mixed
-
Integer umber of trials Or can be an array of values
- $probability : mixed
-
Probability of success on each trial as a float 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 —If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions
inverse()
BINOM.INV.
public
static inverse(mixed $trials, mixed $probability, mixed $alpha) : array<string|int, mixed>|int|string
Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value
Parameters
- $trials : mixed
-
number of Bernoulli trials as an integer Or can be an array of values
- $probability : mixed
-
probability of a success on each trial as a float Or can be an array of values
- $alpha : mixed
-
criterion value as a float Or can be an array of values
Return values
array<string|int, mixed>|int|string —If an array of numbers is passed as an argument, then the returned result will also be an array with the same dimensions
negative()
NEGBINOMDIST.
public
static negative(mixed $failures, mixed $successes, mixed $probability) : array<string|int, mixed>|float|string
Returns the negative binomial distribution. NEGBINOMDIST returns the probability that there will be number_f failures before the number_s-th success, when the constant probability of a success is probability_s. This function is similar to the binomial distribution, except that the number of successes is fixed, and the number of trials is variable. Like the binomial, trials are assumed to be independent.
Parameters
- $failures : mixed
-
Number of Failures as an integer Or can be an array of values
- $successes : mixed
-
Threshold number of Successes as an integer Or can be an array of values
- $probability : mixed
-
Probability of success on each trial as a float 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
TODO Add support for the cumulative flag not present for NEGBINOMDIST, but introduced for NEGBINOM.DIST The cumulative default should be false to reflect the behaviour of NEGBINOMDIST
range()
BINOM.DIST.RANGE.
public
static range(mixed $trials, mixed $probability, mixed $successes[, mixed $limit = null ]) : array<string|int, mixed>|float|int|string
Returns returns the Binomial Distribution probability for the number of successes from a specified number of trials falling into a specified range.
Parameters
- $trials : mixed
-
Integer number of trials Or can be an array of values
- $probability : mixed
-
Probability of success on each trial as a float Or can be an array of values
- $successes : mixed
-
The integer number of successes in trials Or can be an array of values
- $limit : mixed = null
-
Upper limit for successes in trials as null, or an integer If null, then this will indicate the same as the number of Successes Or can be an array of values
Return values
array<string|int, mixed>|float|int|string —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>