A study was undertaken to determine the strength of associationbetween several risk factors and the duration of pregnancies. Therisk factors considered were mother's age, nutritional status,history of tobacco use, and history of alcohol use. The response ofinterest, pregnancy duration is a three-categories variable thatwas coded as follows:
| Yi | Pregnancy Duration Category |
| 1 | Preterm |
| 2 | Intermediate term |
| 3 | Full term |
We would like to study the association between the duration ofpregnancy and risk factors.
(a) Propose an appropriate model and explain how you assesswhether your model is adequate
(b) Describe how to estimate the parameters in your model in astep by step manner
(c) We would like to test which risk factors are associated tothe pregnancy duration. Explain what test statistic is used and whythis test statistic is appropriate. Provide testing procedure in astep by step manner.
(d) We also would like to calculate the prediction accuracy ofyour model in (a). How would you measure the prediction accuracy ofyour model? Explain your procedure in a step by step manner.
