This is an internal function that computes the ith iteration for computing the squared imprecision estimates.

1 | ```
sigma_mle(i, s, sigma2, sigma.mu2, beta.bars, N, n)
``` |

`i` |
Iteration i. |

`s` |
Variance-covariance N x N matrix. |

`sigma2` |
Estimated imprecisions for each method in an N vector |

`sigma.mu2` |
Estimated process varinace. |

`beta.bars` |
Estimates or hypothesized values for the N betas. |

`N` |
No. of methods. |

`n` |
No. of items. |

See Jaech p. 185-186 equations 6.3.1 - 6.3.6.

Estimated squared imprecisions (variances) for the ith iteration.

Richard A. Bilonick

Jaech, J. L. (1985) *Statistical Analysis of Measurement Errors*. New York: Wiley.

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