OLS and IRT Analysis of Mental Intactness
| Independent Variables | OLS | IRT | ||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | ||||
| Demographics | ||||||
| Age (+45) | 0.119** | (0.047) | 0.120** | (0.047) | 0.055*** | (0.018) |
| Age square / 100 | −0.122*** | (0.038) | −0.123*** | (0.038) | −0.055*** | (0.015) |
| Female | −0.516*** | (0.127) | −0.409*** | (0.132) | −0.158*** | (0.052) |
| Urban | 0.121 | (0.131) | 0.266* | (0.139) | 0.084 | (0.055) |
| Urban*female | 0.358** | (0.160) | 0.067 | (0.187) | 0.028 | (0.073) |
| Height | 0.012** | (0.005) | 0.011** | (0.005) | 0.004** | (0.002) |
| SES | ||||||
| Education (illiterate omitted) | ||||||
| Sishu/home school and below | 1.312*** | (0.115) | 1.298*** | (0.115) | 0.543*** | (0.045) |
| Elementary school | 1.511*** | (0.120) | 1.486*** | (0.120) | 0.603*** | (0.047) |
| Middle school | 1.808*** | (0.135) | 1.781*** | (0.135) | 0.695*** | (0.053) |
| High school and above | 2.256*** | (0.184) | 2.254*** | (0.184) | 0.939*** | (0.072) |
| Female*high school and above | −0.120 | (0.278) | −0.184 | (0.278) | −0.093 | (0.109) |
| Log household PCE | 0.112** | (0.046) | 0.114** | (0.046) | 0.061*** | (0.018) |
| Community log PCE | 0.483*** | (0.144) | 0.218 | (0.169) | 0.083 | (0.066) |
| Community log PCE*female | 0.558*** | (0.186) | 0.286*** | (0.073) | ||
| Prefecture dummies | Yes | Yes | Yes | |||
| Observation | 1,873 | 1,873 | 1,873 | |||
| R–squared | 0.398 | 0.401 | 0.430 | |||
Note: Standard errors in parentheses.
↵*** p < 0.01,
↵** p < 0.05,
↵* p <0.1. Mental Intactness is based on components of the TICS battery scaled from 0–11 that are meant to capture intact mental status. Models 1 and 2 are based on Ordinary Least Squares (OLS) while Model 3 uses Item Response Theory (IRT). IRT models the response of a respondent of a given ability to each item in the test. The estimated coefficients from the Bayesian expected posterior model are listed. Prefectures are administrative units that govern a combination of counties in China.