HSH946 : Frequency of Family History of Mood Disorder - Biostatistics Assignment Help

Assignment Task :

Questions

1. A study aimed to explore the effect of the age at onset of bipolar disorder on the course of the illness. Family history of mood disorders was one of the variables investigated. The table below shows the frequency of a family history of mood disorders by age of onset groups. Early age at onset defined to be ≤18 years and later age at onset defined to be later than 18 years

We assume the following:

• The 636 subjects are our population of interest

• Early and later categories are mutually exclusive 

• There is equal probability of selecting any one person

2. What is the joint probability of late age at onset (L) and unipolar and bipolar family history of mood disorders (D)? Indicate the individual probabilities you use to come up with the final probability. Report to 3 decimals.  

3 ???????Assuming we select a person at random from the 636 subjects, what is the probability that this person will be a later age of onset subject (L) or will have no family history of mood disorder (A) or both? Indicate the individual probabilities you use to come up with the final probability. Explain the formula that you use. Report to 3 decimals.

4. Saliva pH was determined in two independent random samples of seventh grade school children. The first sample comprised children who had no caries (caries-free) and the second had children with a high incidence of caries. Results are presented in children_salivaph.csv data. The data source for this data is Daniel and Cross 2019. Assume that the pH data follows a normal distribution.

5 ???????Do the individual 95% confidence intervals for the two groups suggest anything about whether or not the population mean saliva pH level for children with a high incidence of caries and the population mean saliva pH for children who are caries-free are different? Report results to 2 decimal places 

6. ???????Use the ttest command to calculate a 95% confidence interval for the difference in mean saliva pH between children with a high incidence of caries and children who are caries -free. What type of ttest can be used and why? What conclusion can you make about whether or not the population mean saliva pH for children with a high incidence of caries and the population mean saliva pH for children who are caries -free are different?

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