Description Usage Format Details Source References Examples
Mortality of the Citrus psyllid, Diaphorina citri, a major pest of Citrus worldwide, when exposed to different concentrations of two fungi species, Beauveria bassiana and Isaria fumosorosea.
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A data frame with 30 observations on the following 5 variables.
y | numeric | number of dead insects |
m | numeric | total number of insects |
conc | numeric | fungi concentration (in conidia/ml) |
lconc | numeric | natural logarithm of fungi concentration |
species | factor | levels isaria and beauveria , fungi species
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The Citrus psyllid Diaphorina citri is a vector of Huanglongbing, known as greening disease. An alternative to chemical control is to use solutions of fungi conidia as a biological control strategy. D'Alessandro (2014) conducted a completely randomized experiment to assess how different conidia concentrations ($10^4$, $10^5$, $10^6$, $10^7$ and $10^8$ conidia/ml) of two fungi species, Beauveria bassiana and Isaria fumosorosea, infected D. citri adults. Each experimental unit consisted of around 20 D. citri adults, which were placed on Citrus limonia plants. The insects were pulverized with the solutions and after 10 days the number of dead insects and dead insects due to fungus infection were observed. Note that in this case the conidia concentrations are obtained in successive dilutions and therefore small variations in the number of conidia per ml may contribute additional variability to the data. Such additional variability may be accounted for in the model by including an additive random effect in the linear predictor.
Demétrio, C. G. B., Hinde, J. and Moral, R. A. (2014) Models for overdispersed data in entomology. In Godoy, W. A. C. and Ferreira, C. P. (Eds.) Ecological modelling applied to entomology. Springer.
D'Alessandro (2014) Unpublished data, private communication.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | data(fungi)
# Binomial fit
model1 <- glm(cbind(y, m-y) ~ lconc*species,
family=binomial, data=fungi)
anova(model1, test="Chisq")
sum(resid(model1, ty="pearson")^2)
1 - pchisq(sum(resid(model1, ty="pearson")^2), 20)
hnp(model1)
# Quasi-binomial fit
model2 <- glm(cbind(y, m-y) ~ lconc*species,
family=quasibinomial, data=fungi)
anova(model2, test="F")
hnp(model2)
## Not run:
# Logistic-normal fit
require(lme4)
fungi$ind <- factor(1:nrow(fungi))
model3 <- glmer(cbind(y, m-y) ~ lconc*species + (1|ind),
family=binomial, data=fungi)
summary(model3)
hnp(model3)
## End(Not run)
## for discussion on the analysis of this data set,
## see Demetrio et al. (2014)
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