E [yij | xi , in sample] | = E [yij | xi , d=1] = E [yij | xi, a’wi + ui > 0] = b’ xi + E [ei | ui > -a’ wi] = b’ xi + (r se su) {f (-a’ wi) / [1 - F (-f’ wi)]} = b’ xi + (r se su) [f (a’ wi) / F (f’ wi)]}. |
E [yij | xi, in sample] | = b’ xi + (r se) li = b’ xi + q li |
E [yi0 | xi , in sample] | = E [yi0 | xi , d=0] = E [yi0 | xi, a’wi + ui £ 0] = b’ xi + E [ei | ui £ -a’ wi] |
l = f / F | if d = 1 , | and | l = - f / 1 - F | if d = 0 . |
TABLE 1
Infant Mortality Rate (IMR) by Region
(1960–90 IMR is the mean of observations in the respective region.)
Region |
1960–90 IMR |
# Observations |
Sub-Saharan Africa |
133 |
221 |
South Asia |
116 |
31 |
East Asia |
61 |
28 |
South East Asia |
57 |
50 |
Pacific Islands/Oceania |
49 |
6 |
Middle East/North Africa |
100 |
66 |
Latin America |
74 |
127 |
Caribbean and Non-Iberian America |
66 |
30 |
Eastern Europe/USSR |
23 |
35 |
Industrial Countries |
17 |
487 |
Total |
60 |
1081 |
TABLE 2
Infant Mortality Rate (IMR) by Level of Development and by Regime Type
Level |
Dictatorship |
Democracy |
||
IMR |
#Obs |
IMR |
#Obs |
|
$0-1,999 |
1122.7 |
320 |
95.7 |
47 |
$2,000-2,999 |
84.1 |
57 |
59.6 |
38 |
$3,000-3,999 |
55.1 |
44 |
42.6 |
35 |
$4,000-4999 |
43.6 |
42 |
28.9 |
24 |
$5,000-5999 |
31.2 |
26 |
23.4 |
48 |
$6,000+ |
35 |
15 |
15.1 |
385 |
Total Observations |
504 |
577 |
TABLE 3
Impact of Exogenous Variables on Regime Type (REG): Binomial Probit
Binomial Probit Model [where Democracy=0, Dictatorship=1]
Variable |
Coefficients |
Standard Errors |
Constant |
3.947** |
0.704 |
STRA |
0.173* |
0.082 |
COMEX |
-0.340* |
0.147 |
NEWC |
-0.253 |
0.228 |
BRITCOL |
-0.735** |
0.201 |
RELIGION |
-0.0142** |
0.004 |
CATH |
0.626* |
0.283 |
PROT |
-0.385 |
0.430 |
MOSLEM |
1.029** |
0.313 |
ODRP |
-2.734** |
0.293 |
ODWP |
-1.927 |
1.548 |
LEVEL |
-0.000** |
0.000 |
Actual |
Predicted |
Total | |
|
0 |
1 |
|
0 |
496 |
81 |
577 |
1 |
50 |
454 |
504 |
Total |
546 |
535 |
1081 |
TABLE 4
Impact of Exogenous Variables on Infant Mortality Rate (IMR) by Regime Type
Ordinary Least Squares Model [Democracy=0, Dictatorship=1]
(Standard errors in parentheses)
Parameter |
Dictatorships |
Democracies |
Constant | 134.437** |
3.595 |
(10.087) |
(0.520) | |
COMEX | 1.278 |
4.662** |
(2.686) |
(1.861) | |
EDT | -14.087** |
-1.847** |
(0.690) |
(0.362) | |
FERTIL | 2.397* |
10.169** |
(1.171) |
(0.764) | |
POP | -0.000** |
0.000** |
(0.000) |
(0.000) | |
LFPW | 0.461** |
0.535** |
(0.112) |
(0.108) | |
LEVEL | -0.003** |
-0.002** |
(0.001) |
(0.000) | |
LAMBDA | -15.940** |
-8.547** |
(3.960) |
(1.926) | |
N | 423 |
520 |
Degrees of Freedom | 415 |
512 |
F | 256.88 |
315.60 |
Fit:R-squared | 0.81 |
0.81 |
Fit:Adj.R-squared | 0.81 |
0.81 |
Durbin-Watson final | 1.892 |
1.859 |
Final Rho | 0.054 |
0.070 |
TABLE 5
Predicted Independent Effect of Regime Type on Infant Mortality Rate (IMR)
Unbiased Values/Descriptive Statistics
(All results based on nonmissing observations)
Variable |
Predicted Mean |
Standard Deviation |
Predicted Minimum |
Predicted Maximum |
# of Observations produced |
IMR Dictatorship |
52.6 |
58.5 |
-85.1 |
168.5 |
943 |
IMR Democracy |
42.8 |
33.3 |
-4.52 |
141.6 |
943 |
Difference |
9.8 |
33.9 |
-103.64 |
79.1 |
943 |
TABLE 6
Regime Type and Infant Mortality Rate (IMR) by Year in Selected Countries and Years
Country |
Year (a) |
Regime (b) |
Observed IMR (c) |
Predicted IMR Dictatorship (d) |
Predicted IMR Democracy (e) |
Difference f=(d-e) |
Burkina Faso |
1967 |
Dic |
185 |
168.5 |
93.5 |
75.0 |
1982 |
Dic |
149 |
162.5 |
93.8 |
68.8 |
|
1987 |
Dic |
138 |
161.0 |
98.2 |
62.8 |
|
Brazil |
1970 |
Dic |
94.6 |
104.2 |
62.5 |
41.7 |
1977 |
Dic |
79 |
88.7 |
54.5 |
34.3 |
|
1982 |
Dem |
71 |
77.2 |
50.6 |
26.6 |
|
1987 |
Dem |
63 |
63.8 |
43.5 |
20.3 |
|
China |
1962 |
Dic |
88 |
106.9 |
141.6 |
-34.7 |
1970 |
Dic |
69 |
72.9 |
130.9 |
-57.9 |
|
1976 |
Dic |
44 |
42.5 |
107.6 |
-65.0 |
|
1980 |
Dic |
42 |
27.2 |
105.1 |
-77.9 |
|
1987 |
Dic |
37 |
6.3 |
109.9 |
-103.6 |
|
Egypt |
1970 |
Dic |
158.0 |
103.1 |
62.4 |
40.7 |
1982 |
Dic |
112.0 |
76.9 |
51.1 |
25.8 |
|
1987 |
Dic |
86.0 |
64.7 |
42.6 |
22.2 |
|
Ethiopia |
1967 |
Dic |
162 |
161.8 |
84.9 |
76.8 |
1972 |
Dic |
155 |
160.0 |
84.8 |
75.2 |
|
1982 |
Dic |
159 |
156.1 |
96.4 |
59.7 |
|
Greece |
1961 |
Dem |
39.8 |
83.6 |
27.6 |
56.0 |
1964 |
Dem |
35.8 |
76.4 |
27.6 |
48.9 |
|
1970 |
Dic |
34.3 |
58.1 |
24.0 |
34.1 |
|
1974 |
Dem |
23.9 |
47.3 |
22.3 |
25.0 |
|
1984 |
Dem |
14.3 |
28.4 |
13.2 |
15.3 |
|
1987 |
Dem |
11.7 |
16.7 |
8.4 |
8.3 |
|
India |
1967 |
Dem |
145 |
97.3 |
108.8 |
-11.6 |
1972 |
Dem |
132 |
82.6 |
106.4 |
-23.8 |
|
1982 |
Dem |
108 |
53.3 |
104.0 |
-50.7 |
|
1987 |
Dem |
96 |
37.0 |
101.1 |
-64.0 |
|
Indonesia |
1970 |
Dic |
118.0 |
110.5 |
76.3 |
34.1 |
1977 |
Dic |
105.0 |
96.4 |
68.9 |
27.4 |
|
1982 |
Dic |
95.0 |
84.3 |
61.1 |
23.2 |
|
Mexico |
1970 |
Dic |
72.4 |
91.8 |
69.2 |
26.9 |
1982 |
Dic |
49.0 |
55.8 |
45.0 |
10.8 |
|
1987 |
Dic |
41.0 |
42.1 |
38.7 |
3.4 |
|
Nicaragua |
1967 |
Dic |
115 |
110.7 |
81.8 |
29.0 |
1972 |
Dic |
100 |
104.9 |
77.9 |
27.0 |
|
1982 |
Dic |
68 |
87.5 |
66.6 |
20.9 |
|
Nigeria |
1970 |
Dic |
139.4 |
145.8 |
94.5 |
51.2 |
1972 |
Dic |
135 |
144.1 |
93.3 |
50.8 |
|
1982 |
Dem |
95.7 |
130.1 |
91.9 |
38.2 |
|
1987 |
Dic |
87 |
115.4 |
83.3 |
32.2 |
|
Pakistan |
1967 |
Dic |
145 |
130.2 |
79.1 |
51.1 |
1982 |
Dic |
120 |
116.0 |
80.3 |
35.8 |
|
1987 |
Dic |
104 |
109.3 |
72.8 |
36.5 |
|
South Africa |
1970 |
Dic |
78.8 |
71.3 |
64.2 |
7.2 |
1977 |
Dic |
72.0 |
65.2 |
58.4 |
6.8 |
|
1982 |
Dic |
63.0 |
58.7 |
54.8 |
3.9 |
|
Switzerland |
1961 |
Dem |
21.0 |
10.2 |
14.1 |
-3.1 |
1970 |
Dem |
15.4 |
14.1 |
7.7 |
6.3 |
|
1974 |
Dem |
12.4 |
7.8 |
2.9 |
4.9 |
Appendix 1: Variables
The data set used for this paper was Alvarez, Cheibub, Limongi and Przeworski 1997, ACLP World Political / Economic Database. ACLP defines the variables used here as follows:
BRITCOL: British colony. Dummy variable coded 1 for every year in countries that had been a British colony any time after 1919, 0 otherwise.
CATH: Percentage of Catholics in the population.
COMEX: Primary commodity exporting country, as defined by the IMF.
EDT: Cumulative years of education of the average member of the labor force. (Bhalla-Lau-Louat series).
FERTIL: Total fertility rate (births per woman).
INFMORT: Infant mortality rate per 1,000 live births.
LEVEL: Level of economic development. Real GDP per capita, 1985 international prices, Chain index.
LFPW: Labor force, female (% of total).
MOSLEM: Percentage of Moslems in the population.
NEWC: New country. Dummy variable coded 1 for every year in countries that became independent after 1945, 0 otherwise.
ODRP: Democracies in the region (Percentage). Percentage of democratic regimes in the current year (other than the regime under consideration) in the REGION to which the country belongs.
ODWP: Democracies in the world (Percentage). Percentage of democratic regimes (other than the regime under consideration) in the world for the current year.
POP: Population, in thousands.
PROT: Percentage of Protestants in the population.
RELIGION: Percentage of population of the largest religious group, measured in the year for which data were available (roughly 1976-1985) as presented in The Economist (1988) and Vanhanen (1992). Time invariant variable.
STRA: Sum of transitions to authoritarianism. The sum of past transitions to authoritarianism in a country. If a country experienced a transition to authoritarianism before 1950, STRA was coded 1 in 1950.
YEAR: From 1950 or date of independence to 1990.
Appendix 2: LIMDEP Batch File
The statistical program used for this paper was LIMDEP Version 7.0, Econometric Software 1985–1997. A copy of the batch file follows:
TITLE; ********** INFMORT PROBITSEL 5-8-99 ****************** $
LOAD; FILE=c:\statscom\WORLDSRT.INT $
READ; file=c:\statscom\demogr.wk1; format=wks; names $
TITLE; ********** REJECT MISSING VALUES ********************* $
SAMPLE; 1-4126 $
REJECT; INFMORT < 0 $ REJECT; INFMORT = 0 $
REJECT; EDT = -9 $ REJECT; FERTIL = -9 $
REJECT; LFPW = -9 $ REJECT; STRA = -9 $
NAME; XIMR= ONE, comex, edt, fertil, pop, lfpw, level $
REGRESS; LHS=infmort;RHS=XG,REG $
NAME; XREG= one, stra, comex, newc, britcol, religion, cath, prot, moslem, odrp, odwp, level $
CALC; LIST; KXIMR=COL(XIMR) $
TITLE; ************ PROBIT WITH SELECTION ***************** $
PROBIT; LHS= REG ;RHS= XREG ;HOLD(IMR=LAMBDA) $
TITLE; ************ HECKMAN TWO-STEP METHOD *************** $
TITLE; ************ OLS FOR DICTATORSHIPS ***************** $
REJECT; REG=0 $
CREATE; CL=COUNTRY [-1] $ (lags country)
CREATE; IF (CL # COUNTRY) FLAGD=1 $
CREATE; IF (CL # COUNTRY) FLAGA=0 $
CREATE; IF (FLAGA=-999) FLAG1=0; ELSE FLAG1=FLAGA $
CREATE; IF (FLAGD=-999) FLAG2=0; ELSE FLAG2=FLAGD $
CREATE; FLAGN=FLAGA+FLAGD $
REJECT; FLAGN=1 $
REGRESS; LHS=infmort; RHS=XIMR,LAMBDA; AR1 $
MATRIX; BAUT=PART(B,1,KXIMR) $
TITLE; ************* OLS FOR DEMOCRACIES ****************** $
SAMPLE; 1-4126 $
REJECT; INFMORT = -9 $ REJECT; INFMORT = 0 $
REJECT; EDT = -9 $ REJECT; FERTIL = -9 $
REJECT; LFPW = -9 $ REJECT; STRA = -9 $
REJECT; REG=1 $
CREATE; CL=COUNTRY [-1] $ (lags country)
CREATE; IF (CL # COUNTRY) FLAGA=1 $
CREATE; IF (CL # COUNTRY) FLAGD=0 $
CREATE; IF (FLAGA=-999) FLAG1=0; ELSE FLAG1=FLAGA $
CREATE; IF (FLAGD=-999) FLAG2=0; ELSE FLAG2=FLAGD $
CREATE; FLAGN=FLAGA+FLAGD $
REJECT; FLAGN=1 $
REGRESS; LHS=infmort; RHS=XIMR,LAMBDA; AR1 $
MATRIX; BDEM=PART(B,1,KXIMR) $
TITLE; ************** CALCULATE UNBIASED VALUES *********** $
SAMPLE; 1-4126 $
REJECT; INFMORT < 0 $
REJECT; INFMORT = 0 $
REJECT; EDT = -9 $
REJECT; FERTIL = -9 $
REJECT; LFPW = -9 $
REJECT; STRA = -9 $
REJECT; FLAGN=1 $
CREATE; IMR1 = DOT(XIMR,BAUT) $ (IMR1 is infmort under dic)
CREATE; IMR0 = DOT(XIMR,BDEM) $ (IMR0 is infmort under dem)
CREATE; DIMR=IMR1-IMR0 $ (DIMR is the difference)
DSTAT; RHS=IMR1,IMR0,DIMR $
STOP
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