| ic_par | R Documentation | 
Fits a parametric regression model for interval censored data. Can fita proportional hazards, proportional odds or accelerated failure time model.
ic_par(formula, data, model = "ph", dist = "weibull", weights = NULL)
| formula | Regression formula. Response must be a  | 
| data | Dataset | 
| model | What type of model to fit. Current choices are " | 
| dist | What baseline parametric distribution to use. See details for current choices | 
| weights | vector of case weights. Not standardized; see details | 
Currently supported distributions choices are "exponential", "weibull", "gamma", "lnorm", "loglogistic" and "generalgamma" (i.e. generalized gamma distribution).
Response variable should either be of the form cbind(l, u) or Surv(l, u, type = 'interval2'), 
where l and u are the lower and upper ends of the interval known to contain the event of interest. 
Uncensored data can be included by setting l == u, right censored data can be included by setting 
u == Inf or u == NA and left censored data can be included by setting l == 0.
Does not allow uncensored data points at t = 0 (i.e. l == u == 0), as this will 
lead to a degenerate estimator for most parametric families. Unlike the current implementation 
of survival's survreg, does allow left side of intervals of positive length to 0 and 
right side to be Inf. 
In regards to weights, they are not standardized. This means that if weight[i] = 2, this is the equivalent to having two observations with the same values as subject i.
For numeric stability, if abs(right - left) < 10^-6, observation are considered uncensored rather than interval censored with an extremely small interval.
Clifford Anderson-Bergman
data(miceData)
logist_ph_fit <- ic_par(Surv(l, u, type = 'interval2') ~ grp, 
                       data = miceData, dist = 'loglogistic')
logist_po_fit <- ic_par(cbind(l, u) ~ grp, 
                        data = miceData, dist = 'loglogistic',
                       model = 'po')
summary(logist_ph_fit)
summary(logist_po_fit)
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