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Add the quasibinomial model for pairwise comparisons  #23

@pawel-czyz

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@pawel-czyz

We have quasimultinomial model, which tries to fit all the growth advantages at once. There exists a simpler model, which targets only the proportion $p(t) = \frac{y_1(t)}{y_1(t) + y_0(t)}$ and estimates a growth advantage directly, using a two parameter model $p(t) = \mathrm{logit}^{-1}(g t - b)$.

Prepare the functions that:

  • Allow one to calculate $p(t)$ and plot it.
  • Fit the quasibinomial models using maximum quasilikelihood and quasiposterior.
  • Function for calculating overdispersion.
  • Assessing the residuals.

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