Germán Rodríguez
Demographic Methods Princeton University

This is the website for Pop 502 Research Methods in Demography, as offered in the Spring of 2017. The course is cross-listed as Eco 572 and Soc 532. The registrar's course page is here.

The site has a collection of computing handouts, showing how to use Stata and R (with `dplyr` and `ggplot2`) in demographic analysis The syllabus for Spring 2017 is here. The class handouts originally on Blackboard are now available here.

#### 1. Rates and Standardization

Here's a computing handout on Growth Rates and Doubling Time, the topic of the first class, followed by one on Rates and Standardization, where we discuss direct and indirect standardization and the decomposition of differences in rates, the subjects of our second meeting.

On week 2 we start with age heaping and Myer's index before we enter the wonderful world of splines. To learn about running means, running lines, and all sorts of splines, read the first 6 pages of a statistical demography handout on Smoothing and Non-Parametric Regression. The applications start with running means and lines, including the `lowess` smoother, and continue with regression splines and spline interpolation.

#### 3. Life Tables

We start week 3 with a review of life tables, and a handout on period life table construction. We have an illustration of Brass's relational logit model, and another fitting the modified logit and log-quadratic models.

#### 4. Survival

How fast do we age? We fit a Gompertz curve to adult mortality in the U.S.. We work with male survival and invite you to do the same calculations for females. We also discuss the Kaplan-Meir estimate of a survival curve from censored data, and an application of Cox regression to the cancer relapse data we used for Kaplan-Meier.

#### 5. Unobserved Heterogeneity

The handout on unobserved heterogeneity provides a summary of the main ideas. (A more detailed discussion may be found on an earlier statistical demography handout; focus on gamma heterogeneity and the inversion formula). The illustration deals with heterogeneity and mortality cross-overs.

#### 6. Competing Risks

We go over the example in the textbook working with multiple-decrement and cause-deleted life tables, including a simplified approach that assumes constant risks within each age group. We illustrate increment-decrement life tables using a classic dataset on contraceptive discontinuation.

#### 7. Nuptiality

Spring is in the air and we turn to a study of marrriage. The handout covers current status life tables, with applications to nuptiality and duration of breastfeeding. And here's the application of the Coale-McNeil and Hernes models of marriage.

#### 8. Fertility Rates

We start our study of fertility by computing age-specific fertility rates from survey data using an exact and an approximate method. We fit Coale's model of marital fertility by age to the data in Brostrom's paper. We then apply Page's model to study fertility by age and duration since first union in urban and rural areas.

#### 9. Birth Intervals

Here's a bith intervals analysis of the transition from second to third birth in Colombia in 1976 by childhood place of residence. I include illustrative computations of quintums and trimeans and, for good measure, a proportional hazards model.

#### 10. Tempo Effects

To provide some background for our discussion of tempo effects on fertility and mortality, here's an analysis of U.S. fertility 1917-1980, including an application of Ryder's translation formula and the Bongaarts-Feeney tempo adjustment.

#### 11. Population Projections

The handouts include an application of the cohort component method to the Swedish data in the textbook using a Leslie matrix, and an examination of key aspects of the Lee-Carter approach to forecasting mortality, with an application of the singular value decomposition to U.S. data for 1933-1987 and a simulation of stochastic forecasts.

#### 12. Stable Populations

We come to a close with two handouts on stable populations. The first deals with computing Lotka's r and the stable equivalent age distribution, following the examples in Boxes 7.1 and 7.2 in the textbook. The second deals with the estimation of population momentum using the Preston-Guillot method illustrated in Box 7.3 of the textbook and, as a comparison, Keyfitz's formula.