Yorkshires.litters

<p>The data are arranged as a list of binomial frequency distributions where the 
listing is by litter size which is included both as a variate (vsize) and as a factor (fsize)</p>

datasets

Under- and over-dispersed binary data are modeled using an extended Poisson
process model (EPPM) appropriate for binary data. A feature of the model is that the
under-dispersion relative to the binomial distribution only needs to be greater than
zero, but the over-dispersion is  restricted compared to other distributional models
such as the beta and correlated binomials. Because of this, the examples focus on
under-dispersed data and how, in combination with the beta or correlated distributions,
flexible models can be fitted to data displaying both under- and over-dispersion. Using
Generalized Linear Model (GLM)  terminology, the functions utilize linear predictors for
the probability of success and scale-factor with various link functions for p, and log
link for scale-factor, to fit a variety of models relevant to areas such as bioassay.
Details of the EPPM are in Faddy and Smith (2012) <doi:10.1002/bimj.201100214> and
Smith and Faddy (2019) <doi:10.18637/jss.v090.i08>.

David Smith

BinaryEPPM

Mean and Scale-Factor Modeling of Under- And Over-Dispersed
Binary Data

Yorkshires.litters function

<p>The format is:
List of 3
 $ fsize         : Factor w/ 9 levels " size 5"," size 6",..: 1 2 3 4 5 6 7 8 9
 $ vsize         : int [1:9] 5 6 7 8 9 10 11 12 13
 $ number.success:List of 9
  ..$ : num [1:6] 3 22 30 37 13 5
  ..$ : num [1:7] 7 18 44 62 27 17 4
  ..$ : num [1:8] 2 14 25 63 69 41 12 5
  ..$ : num [1:9] 2 15 32 70 127 90 45 18 1
  ..$ : num [1:10] 0 8 33 63 106 115 62 30 11 1
  ..$ : num [1:11] 0 3 20 49 79 119 91 59 23 4 ...
  ..$ : num [1:12] 0 0 7 20 60 94 100 47 31 9 ...
  ..$ : num [1:13] 0 1 6 16 29 52 66 43 34 22 ...
  ..$ : num [1:14] 0 2 2 2 14 19 44 45 22 13 ...</p>

Yorkshires.litters: The data are of the number of male piglets born in litters of varying sizes for the Yorkshire breed of pigs.

Description

Usage

Arguments

Format

Examples