# PHP | stats_cdf_noncentral_t() Function

March 20, 2021

Hello folks! welcome back to a new edition of our tutorial on PHP. In this tutorial guide, we are going to be studying about the PHP stats_cdf_noncentral_t() Function.

The PHP

The PHP

*stats_cdf_noncentral_t()*function is used to calculate any one parameter of non-central t distribution specified values for the others.## Syntax

Following below is the syntax to use this function -

float stats_cdf_noncentral_t ( float $par1, float $par2, float $par3, int $which )

## Parameter Details

Sr.No | Parameter | Description |
---|---|---|

1 | par1 | The first parameter |

2 | par2 | The second parameter |

3 | par3 | The third parameter |

4 | which | The flag to determine what to be calculated |

## Return Value

This built-in function can return the CDF, its inverse, or one of its parameters of the non-central t distribution. The kind of the return value and parameters (par1, par2, and par3) are determined by

The following table list the return value and parameters by which.

*which*.The following table list the return value and parameters by which.

- CDF denotes cumulative distribution function.

- x denotes the value of the random variable.

- nu denotes the degree of freedom of the distribution.

- mu denotes the non-centrality parameter of the distribution.

which | Return value | par1 | par2 | par3 |
---|---|---|---|---|

1 | CDF | x | nu | mu |

2 | x | CDF | nu | mu |

3 | nu | x | CDF | mu |

4 | mu | x | CDF | nu |

## Dependencies

This built-in function was first introduced in statistics extension (PHP version 4.0.0 and PEAR v1.4.0). In this tutorial guide, we used the latest release of stats-2.0.3 (PHP v7.0.0 or newer and PEAR version 1.4.0 or newer).

### Example1

In the following example below, when

*which = 1*, calculate P from (T, DF, PNONC).- P is the integral from 0 to X of the non-central t-density.

- T is the upper limit of integration of the non-central t-density.

- DF is the degree of freedom of the non-central t-distribution.

- PNONC is the non-centrality parameter of the non-central t-distribution.

<?php // which = 1 : calculate P from (T, DF, PNONC) var_dump(round(stats_cdf_noncentral_t(3, 2, 1, 1), 6)); ?>

#### Output

When the above code is executed, it will produce the following result -

float(0.833559)

### Example2

In the following example below, when

*which = 2*, calculate T from (P, DF, PNONC).- P is the integral from 0 to X of the non-central t-density.

- T is the upper limit of integration of the non-central t-density.

- DF is the degree of freedom of the non-central t-distribution.

- PNONC is the non-centrality parameter of the non-central t-distribution.

<?php // which = 2 : calculate T from (P, DF, PNONC) var_dump(round(stats_cdf_noncentral_t(0.833559426, 2, 1, 2), 6)); ?>

#### Output

When the above code is executed, it will produce the following result -

float(3)

### Example3

In the following example below, when

*which = 3*, calculate DF from (P, T, PNONC).- P is the integral from 0 to X of the non-central t-density.

- T is the upper limit of integration of the non-central t-density.

- DF is the degree of freedom of the non-central t-distribution.

- PNONC is the non-centrality parameter of the non-central t-distribution.

<?php // which = 3 : calculate DF from (P, T, PNONC) var_dump(round(stats_cdf_noncentral_t(0.833559426, 3, 1, 3), 6)); ?>

#### Output

When the above code is executed, it will produce the following result -

float(2)

### Example4

In the following example below, when

*which = 4*, calculate PNONC from (P, T, DF).- P is the integral from 0 to X of the non-central t-density.

- T is the upper limit of integration of the non-central t-density.

- DF is the degree of freedom of the non-central t-distribution.

- PNONC is the non-centrality parameter of the non-central t-distribution.

<?php // which = 4 : calculate PNONC from (P, DF, T) var_dump(round(stats_cdf_noncentral_t(0.833559426, 3, 2, 4), 6)); ?>

#### Output

When the above code is executed, it will produce the following result -

float(1)

### Example5

Following is an error case. In the following example below

*which<1*, warning message is displayed in logs.<?php var_dump(stats_cdf_noncentral_t(3, 2, 1, 0)); // which < 1 ?>

#### Output

The above code will produce the following result and a warning in logs

*PHP Warning: stats_cdf_noncentral_t(): Fourth parameter should to be in the 1..4 range*.bool(false)

### Example6

Following is an error case. In the following example below

*which>4*, warning message is displayed in logs.<?php var_dump(stats_cdf_noncentral_t(3, 2, 1, 5)); // which > 4 ?>

#### Output

The above code will produce the following result and a warning in logs

*PHP Warning: stats_cdf_noncentral_t(): Fourth parameter should to be in the 1..4 range*.bool(false)

Alright guys! This is where we are going to be rounding up for this tutorial post. In our next tutorial, we are going to be discussing about the

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*php stats_cdf_normal()*Function.Feel free to ask your questions where necessary and we will attend to them as soon as possible. If this tutorial was helpful to you, you can use the share button to share this tutorial.

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