Table 4

Autoregressive distributed lag regressions for the crude death rate: OLS regression coefficients, with standard errors shown in parentheses

1730–17991816–1870
(1)(2)(3)
Constant 0.083 (0.043) 0.015 (0.030) 0.015 (0.012) 
Trend –5.6E–05 (3.4E–05) 2.0E–06 (2.3E–05)  
d – 1 0.394* (0.112) 0.469* (0.081) 0.353* (0.146) 
d – 2 0.097 (0.112) 0.249* (0.076) 0.149 (0.145) 
w –0.014* (0.006) –0.013* (0.004) 0.001 (0.003) 
w – 1 –0.016 (0.008) 0.001 (0.006) –0.001 (0.004) 
w – 2 0.023* (0.006) 0.014* (0.004) 0.000 (0.003) 
Year Dummy Variables No Yes No 
R2, Adjusted .503 .795 .102 
Durbin-Watson Statistic 1.97 1.97 2.02 
Implied Instantaneous Elasticity –0.41 –0.38 0.02 
Implied Cumulative Elasticity –0.20 0.06 0.01 
1730–17991816–1870
(1)(2)(3)
Constant 0.083 (0.043) 0.015 (0.030) 0.015 (0.012) 
Trend –5.6E–05 (3.4E–05) 2.0E–06 (2.3E–05)  
d – 1 0.394* (0.112) 0.469* (0.081) 0.353* (0.146) 
d – 2 0.097 (0.112) 0.249* (0.076) 0.149 (0.145) 
w –0.014* (0.006) –0.013* (0.004) 0.001 (0.003) 
w – 1 –0.016 (0.008) 0.001 (0.006) –0.001 (0.004) 
w – 2 0.023* (0.006) 0.014* (0.004) 0.000 (0.003) 
Year Dummy Variables No Yes No 
R2, Adjusted .503 .795 .102 
Durbin-Watson Statistic 1.97 1.97 2.02 
Implied Instantaneous Elasticity –0.41 –0.38 0.02 
Implied Cumulative Elasticity –0.20 0.06 0.01 

Notes: Year-specific dummy variables in regression (2) refer to 1740, 1757, 1758, 1764, 1766, 1772, and 1795 (selection based on studentized residuals r > 2).

Source: Own calculations based on series shown in Fig. 3.

p < .10; *p < .05

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