Generalised Linear Models & Terminology and Notation - Statistics Assignment Help

Assignment Task

Question 1 - A longitudinal study was conducted to assess whether olfactory dysfunction is a potential marker for dementia. The study recorded odour identification scores in 1,055 randomly se lected hospital outpatients aged over 65 years of age, excluding any patients who had been diagnosed with dementia or cognitive decline. Patients were asked to identify 10 odours and the score was determined as the number of correctly identified odours out of 10. After a 5 year period, the odour scores of these patients were then linked to whether the patients has been subsequently diagnosed with dementia. 
The data are given below: 
Odour score 0 1 2 3 4 5 6 7 8 9 10 Total 

patients with dementia 
24 20 26 25 27 29 27 29 30 23 18 278 

Total 75 64 86 87 93 96 92 105 115 112 130 1055 
(a) State and fit a generalised linear model for the proportion of patients who were diagnosed with dementia against the odour score recorded. Explain all components of the model. 
(b) Is the model a good fit? Refer to the relevant information from the analysis of deviance table.

    
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