Nothing
library(MASS)
data("quine") ## data suggested by referee 2 (over dispersion)
quine_form <- as.formula(Days ~ Eth + Sex + Age + Lrn)
## Poisson and negative binomial
pois <- glm(quine_form, family = poisson(), data = quine)
nb <- glm.nb(quine_form, data = quine)
## various renewal models
wei <- renewalCount(formula = quine_form, data = quine, dist = "weibull",
computeHessian = FALSE, weiMethod = "conv_dePril",
control = renewal.control(trace = 0,
method = c("nlminb",
"Nelder-Mead","BFGS")),
convPars = list(convMethod = "dePril")
)
gam <- renewalCount(formula = quine_form, data = quine, dist = "gamma",
computeHessian = FALSE, weiMethod = "conv_dePril",
control = renewal.control(trace = 0,
method = "nlminb"),
convPars = list(convMethod = "dePril")
)
gengam <- renewalCount(formula = quine_form, data = quine, dist = "gengamma",
computeHessian = FALSE, weiMethod = "conv_dePril",
control = renewal.control(trace = 0,
method = "nlminb"),
convPars = list(convMethod = "dePril")
)
AIC <- c(poiss = AIC(pois),
nb = AIC(nb),
wei = AIC(wei),
gam = AIC(gam),
gengam = AIC(gengam)
)
print(AIC)
breaks_ <- c(0, 1, 3, 5:7, 9, 12, 15, 17, 23, 27, 32)
pears <- compareToGLM(poisson_model = pois,
breaks = breaks_,
nbinom_model = nb,
weibull = wei,
gamma = gam,
gengamma = gengam)
pearson <- colSums(dplyr::select(pears, contains("_pearson")))
## goofness of fit test
test_wei <- chiSq_gof(wei, breaks_)
test_gam <- chiSq_gof(gam, breaks_)
test_gengam <- chiSq_gof(gengam, breaks_)
test_poiss <- chiSq_gof(pois, breaks_)
test_nb <- chiSq_gof(nb, breaks_)
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