Quant II Duration exercise Due: Mar 4 and 11 Continuous time duration methods Due Mar 4 A. Use durat.dta, which is the King et al coalition data set, already stset. The codebook and description of the data are in the Box-Steffensemeier and Jones book. 1. Look at the KM plot of hazard and survivor. What does it tell you. 2. Now estimate an exponential model with some iv's of interest. Interpret (briefly) the results. Make sure to use nohr if you want to use the parameterization I find simplest; if you do not use nohr, make sure you interpreations take that into account. 2a. For one iv (putting the others at reasonable values such as the mean or median or zero for dummies), by hand (that is, using spreadsheet like commands in stata or the like, you don't need to multiply by hand!), compute the expected duration of a govt for two different values of that iv. Briefly state results in English. 2b. Have stata draw the hazard and survival plots at whatever values you chose for 2a. Compare the plots (and of course briefly discuss) 2c. Redo using your own ml code in Mata - only thing that is at all challenging is dealing with censoring - make sure your results match Stata's Due Mar 11 3. Repeat (all of) 2 for a Weibull? How do the results change. Interpret carefully the weibull parm. What does it tell you? Plot the hazard? 3a. Try another of the densities that Stata allows; plot the hazard? how do the results differ? B. Cox 1. Take the parametric estimations of part A. Redo with a cox proportional hazards model. How do the results differ? a. Play with the different means of breaking ties. Does it matter? 2. Use stata to capture the baseline hazard and graph it. What does it tell you?