If the tauj is not within the range rello - relhi from the
dynamic EAP, the procedure ignores the score of item j.

`calculate_posterior(scores, tau, qp, scale, mu, sd, relhi, rello)`

## Arguments

- scores
A vector with PASS/FAIL observations.
Scores are coded numerically as `pass = 1`

and `fail = 0`

.

- tau
A vector containing the item difficulties for the item
scores in `scores`

estimated from the Rasch model in the
preferred metric/scale.

- qp
Numeric vector of equally spaced quadrature points.

- scale
Scale expansion

- mu
Numeric scalar. The mean of the prior.

- sd
Numeric scalar. Standard deviation of the prior.

- relhi
Positive numeric scalar. Upper end of the relevance interval

- rello
Negative numeric scalar. Lower end of the relevance interval

## Value

A `list`

with three elements:

Name | Label |

`eap` | Mean of the posterior |

`gp` | Vector of quadrature points |

`posterior` | Vector with posterior distribution. |

Since `dscore V40.1`

the function does not return the `"start"`

element.

## Author

Stef van Buuren, Arjan Huizing, 2020