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A study was carried out in n = 5 small apple orchards. The i - t th orchard has r i trees which were all
A study was carried out in small apple orchards. The th orchard has trees which were all given a dose of additive After one month, the number of trees that did not have certain fungus was recorded. The following is the data per orchard, presented in the format : In this problem, the values of doses of additive are coded, hence the negative values.
The following are outputs from the analysis of these data after fitting a glm model with logit link and binomial distribution.
hathat
The null deviance was on degrees of freedom.
The residual deviance was on degrees of freedom.
AlC:
Examine the information given and do computations before answering the questions below.
A We use the null deviance to test
B Compute the pvalue for comparing ie testing the model with common probability null hypothesis against the maximal model alternative hypoyhesis
C For the hypothesis described in B use the value you computed also in B and to select the correct statement below.
D Compute the loglikelihood of the maximal model. Hint: Use the R function inom and estimate the probability using the observed proportion of trees with no fungi in each orchard.
E Compute the predicted proportion of trees without fungus when the dose of additive is :
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