Set prior distributions for parameters of Bayesian mixture model for dosages
Set prior distributions for parameters of Bayesian mixture model for dosages
May be used to automatically set up vague or strong priors or explicitly set them for Bayesian finite mixture model specified as an object of class modelSegratioMM using setModel
model: object of class modelSegratioMM specifying model parameters, ploidy etc
type.prior: The type of prior required being one of strong , vague , strong.tau
strong.s or specified . The first four prior types will automatically set prior distributions whereas for the last, namely specified , the prior distribution parameters must be set explicitly. Note that strong priors get progressively stronger from strong to strong.s
mean.vague: The mean of Normal priors for a vague prior
prec.vague: The precision of Normal priors for a vague prior
A.vague: The shape parameter of the Gamma prior for the precision parameters for a vague prior
B.vague: The rate (scale) parameter of the Gamma prior for the precision parameters for a vague prior
prec.strong: Precision for Normal mean parameters when type.prior is strong . Note that on logit scale default is equivalent to having a 95%CI as +/- 0.1
n.individuals: Used for Binomial calculations to set prior precision parameters when type.prior is strong .
reffect.A: The shape parameter of the Gamma prior for the precision parameter of the random.effect for a vague prior
reffect.B: The rate (scale) parameter of the Gamma prior for the precision parameter of the random.effect for a vague prior
M.sd: Approximate standard deviation for the mean segregation ratios on raw probability scale - this is set to 0.025 which would give an approximate 95% interval of 0.1 for the segregation ratio
UPPER: Cutoff for guessing parameters on logit scale noting that logit(1) is undefined
STRONG.PREC: Interval on raw probabilty scale used to set strong priors on the the precision distribution parameters of the segregation ratios by using a 95% interval on the theoretical distribution and equating this on the logit scale (Default: c(0.025, 0.975))
PREC.INT: Multiplier or setting prior for precision on logit scale corresponding to approx confidence region being precision*(1 - PREC.INT, 1 + PREC.INT) Default:0.2
params: if type.prior is specified then a list of priors parameters must be set containing components M for means, A and B for gamma prior parameters and if the model contains a random.effect then reffect.A, and reffect.B for the gamma prior for the precision of random effect taub. Note that the lengths of M, prec, A and B should be equal to the number of components
segRatio: If specified, this value overides the automatically generated value which is set as the expected segregation ratio given the ploidy level
Returns
Returns an object of class priorsSegratioMM which is a list with components - type: Type of prior: one of vague , strong
or specified
bugs.code: Text containing prior statements for BUGS file
random.effect: Logical indicating whether model contains random effect (Default: FALSE)
equal.variances: Logical indicating equal or separate variances for each component
params: List containing Normal means on logit scale logit.means, precision on logit scale logit.prec, and Gamma parameters A and B and finally reffect.A and reffect.B if the model contains a random effect
dumpDatadumpInits or for an easier way to run a segregation ratio mixture model see runSegratioMM
Examples
## simulate small autooctaploid data seta1 <- sim.autoMarkers(8,c(0.7,0.2,0.1),n.markers=100,n.individuals=50)## set up model with 3 componentsx <- setModel(3,8)x2 <- setPriors(x)print(x2)x2b <- setPriors(x,"strong")print(x2b)