������������������������������������Asymmetric response of poverty to growth and inequality in South Africa: implications for current and future shocks
Nicholas Ngepah, PhD
Professor of Economics, University of Johannesburg
nngepah@uj.ac.za; nnnbal@yahoo.fr.
AERC-Funded research
Africa Evidence Summit
19-20 June 2023
Nairobi, Kenya
Introduction
Introduction
Introduction
Introduction
Source: Author’s using Statistics South Africa (2017) WDI (2021)
Introduction
Introduction
RESEARCH OBJECTIVES
Methodology
Methodology: The functional forms
Absolute poverty analysis
Growth and quintile mean income framework
Variables and data
Variables and data
Variable | meaning | Data source |
H | Binary poverty measure H=1 if poor and H=0 otherwise | NIDS |
PG | FGT poverty gap measure | NIDS |
SPG | Square of PG | NIDS |
LREXPC | Log of per capita household expenditure | NIDS |
LRINCPC | Log of per capita household income | NIDS |
LINCB40 | Log of Bottom 40 incomes | Quantec |
LINCT20 | Log of Top 20 incomes | Quantec |
INCG | GDP growth rate at district municipality (DM) | Quantec |
INCG- | Negative INCG | Quantec |
INCG+ | Positive INCG | Quantec |
LG_i | Log of initial inequality: 5-year lag of DM inequality | Quantec |
LMINC_i | Log of initial income: 5-year lag of DM GDP | Quantec |
DLNG | First difference of log of current DM inequality | Quantec |
GOVHC | Free public health service (binary, 1=access and 0 otherwise) | NIDS |
GOVED | No fees public schools (binary, 1=access and 0 otherwise) | NIDS |
SSG | Social grant access (1 if access; 0 therwise) | NIDS |
LSSGA | Log of amount of SSG received | NIDS |
OGI | Other non-wage government income support | NIDS |
LLMI | Log amount of labour market income | NIDS |
EDU | Educational categories (0=no education set as reference; 1=primary; 2=secondary; 3=tertiary | NIDS |
RESULTS: Descriptive statistics
| N | Mean | SD. | min | max |
H | 182784 | 0.41 | 0.49 | 0 | 1 |
PG | 182784 | 0.19 | 0.25 | 0 | 0.94 |
REXPC | 182784 | 1548.92 | 3696.17 | 27.4 | 260734 |
INCG | 182784 | 0.06 | 0.61 | -1.4 | 1.54 |
INCG- | 182784 | 0.22 | 0.33 | 0 | 1.4 |
INCG+ | 182784 | 0.27 | 0.38 | 0 | 1.54 |
Gini (G) | 182784 | 0.64 | 0.06 | 0.52 | .8 |
LG_i | 182784 | -0.45 | 0.09 | -0.66 | -0.22 |
All | |||||
SSGA | 115328 | 1581.645 | 1240.147 | 10.33 | 21540 |
OGI | 1514 | 1710.356 | 2549.881 | 3 | 22100 |
LMI | 101850 | 6263.33 | 10976.881 | .071 | 530000 |
Poor | |||||
SSGA | 61648 | 1789.519 | 1320.409 | 14.761 | 13490 |
OGI | 454 | 1432.033 | 1849.065 | 6 | 14000 |
LMI | 36932 | 3104.079 | 4527.834 | .582 | 151200 |
Non-poor | |||||
SSGA | 53680 | 1342.916 | 1093.322 | 10.33 | 21540 |
OGI | 1060 | 1829.562 | 2789.144 | 3 | 22100 |
LMI | 64918 | 8060.634 | 12979.578 | .071 | 530000 |
INCB40 | 191590 | 176427 | 74852 | 34131 | 482994 |
INCT20 | 191590 | 1197215 | 565033 | 327316 | 3330563 |
No education | 182784 | 0.22 | 0.42 | 0 | 1 |
Primary | 182784 | 0.30 | 0.46 | 0 | 1 |
Secondary | 182784 | 0.38 | 0.49 | 0 | 1 |
Tertiary | 182784 | 0.09 | 0.29 | 0 | 1 |
Female | 182784 | 0.54 | 0.50 | 0 | 1 |
RESULTS: correlations
Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) |
(1) H | 1.00 |
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(2) PG | 0.82* | 1.00 |
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(3) LREXPC | -0.55* | -0.55* | 1.00 |
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(4) LRINCPC | -0.54* | -0.50* | 0.63* | 1.00 |
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(5) INCG | -0.08* | -0.08* | 0.09* | 0.10* | 1.00 |
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(6) INCG- | 0.05* | 0.05* | -0.05* | -0.06* | -0.83* | 1.00 |
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(7) INCG+ | -0.09* | -0.08* | 0.10* | 0.11* | 0.88* | -0.47* | 1.00 |
(8) LG_i | -0.05* | -0.05* | 0.01* | 0.02* | -0.04* | 0.02* | -0.05* |
(9) DLNG | 0.02* | 0.01* | 0.01* | 0.01* | 0.27* | -0.19* | 0.27* |
*** p<0.01, ** p<0.05, * p<0.1
RESULTS: growth and absolute poverty
*** p<0.01, ** p<0.05, * p<0.1
| (1) | (2) | (3) | (4) | (5) | (6) |
| LOGIT | TOBIT | TOBIT | LOGIT | TOBIT | TOBIT |
VARIABLES | ME | PG | PG2 | ME | PG | PG2 |
LG_i | 0.460*** | 0.169*** | 0.098*** | 0.606*** | 0.212*** | 0.124*** |
LMINC_i | -0.338*** | -0.089*** | -0.055*** | -0.388*** | -0.100*** | -0.061*** |
DLNG | 0.868*** | 0.225*** | 0.134*** | 1.001*** | 0.255*** | 0.152*** |
INCG | -0.297*** | -0.084*** | -0.053*** |
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INCG+ |
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| -0.637*** | -0.171*** | -0.104*** |
INCG- |
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| 0.092*** | 0.011** | 0.003* |
Constant | -6.252*** | -1.618*** | -1.011*** | -6.994*** | -1.781*** | -1.106*** |
| | | | | | |
LR Chi2 | 2695.21 | 2527.99 | 2435.10 | 3289.09 | 2957.18 | 2802.43 |
P > Chi2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Observations | 173,406 | 160,497 | 160,497 | 173,406 | 160,497 | 160,497 |
RESULTS: growth and absolute poverty
*** p<0.01, ** p<0.05, * p<0.1
| (1) | (2) | (3) | (4) | (5) | (6) |
| LOGIT | TOBIT | TOBIT | LOGIT | TOBIT | TOBIT |
VARIABLES | ME | PG | PG2 | ME | PG | PG2 |
LG_i | 0.460*** | 0.169*** | 0.098*** | 0.606*** | 0.212*** | 0.124*** |
LMINC_i | -0.338*** | -0.089*** | -0.055*** | -0.388*** | -0.100*** | -0.061*** |
DLNG | 0.868*** | 0.225*** | 0.134*** | 1.001*** | 0.255*** | 0.152*** |
INCG | -0.297*** | -0.084*** | -0.053*** |
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|
|
INCG+ |
|
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| -0.637*** | -0.171*** | -0.104*** |
INCG- |
|
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| 0.092*** | 0.011** | 0.003* |
Constant | -6.252*** | -1.618*** | -1.011*** | -6.994*** | -1.781*** | -1.106*** |
| | | | | | |
LR Chi2 | 2695.21 | 2527.99 | 2435.10 | 3289.09 | 2957.18 | 2802.43 |
P > Chi2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Observations | 173,406 | 160,497 | 160,497 | 173,406 | 160,497 | 160,497 |
RESULTS : Growth and B40 and T20 incomes
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) |
VARIABLES | Pool T20 | Pool B40 | FE T20 | FE B40 | IV T20 | IV B40 | SUR T20 | SUR B40 |
LG_i | -0.589*** | -1.597*** | -0.116*** | -0.629*** | -2.020*** | -0.922*** | -0.608*** | -0.766*** |
LMINC_i | 0.075*** | 0.013*** | 0.102*** | 0.074*** | 0.654*** | 0.266*** | 0.078*** | 0.001 |
DLNG | -0.321*** | -1.269*** | -0.712*** | -0.983*** | -0.497*** | -0.832*** | -0.301*** | -0.796*** |
INCG+ | 0.827*** | 0.430*** | 0.731*** | 0.417*** | 0.920*** | 0.426*** | 0.824*** | 0.363*** |
LNINC- | -0.780*** | -0.243*** | -0.109*** | -0.304*** | -1.177*** | -1.973*** | -0.676*** | -0.921*** |
Constant | 0.976*** | -0.458*** | -0.972*** | -0.501*** | -0.671*** | -0.931*** | 0.917*** | -0.568*** |
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F-STAT | 194371 | 6585 | 32109 | 45625 | 3822 | 15451 |
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Observations | 173,406 | 173,406 | 173,406 | 173,406 | 173,406 | 173,406 | 173,406 | 173,406 |
RMSE |
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| 0.25 | 0.17 | 19 | 0.66 |
CD F-stat |
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| 1518(5%) | 1518(5%) |
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SARGAN P-val |
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| 0.611 | 0.508 |
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R-squared | 0.849 | 0.160 | 0.904 | 0.931 | 0.669 | 0.867 | 0.866 | 0.103 |
RESULTS: growth and welfare distribution
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
VAR. | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q |
Ln (real income PC) | ||||||||||
INCG+ |
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| 0.199*** | 0.225*** | 0.231*** | 0.294*** | 0.145*** |
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| (0.011) | (0.008) | (0.013) | (0.010) | (0.051) |
INCG- |
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| -0.140*** | -0.104*** | -0.120*** | -0.024 | 0.025 |
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| (0.011) | (0.013) | (0.012) | (0.017) | (0.049) |
DLNG | -0.251*** | -0.207*** | -0.171*** | -0.103*** | -0.039 | -0.248*** | -0.224*** | -0.189*** | -0.102*** | -0.089 |
| (0.026) | (0.022) | (0.019) | (0.033) | (0.090) | (0.030) | (0.019) | (0.015) | (0.033) | (0.081) |
INCG | 0.171*** | 0.169*** | 0.180*** | 0.188*** | 0.062*** |
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| (0.007) | (0.005) | (0.004) | (0.007) | (0.016) |
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Ln (real expenditure PC) | ||||||||||
INCG+ |
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| 0.278*** | 0.290*** | 0.342*** | 0.445*** | 0.135*** |
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| (0.008) | (0.007) | (0.012) | (0.014) | (0.030) |
INCG- |
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| -0.049*** | -0.055*** | -0.008 | 0.102*** | -0.027 |
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| (0.010) | (0.010) | (0.009) | (0.019) | (0.030) |
DLNG | -0.463*** | -0.363*** | -0.214*** | -0.072** | 0.237*** | -0.480*** | -0.380*** | -0.234*** | -0.150*** | 0.189** |
| (0.025) | (0.018) | (0.022) | (0.032) | (0.074) | (0.019) | (0.022) | (0.022) | (0.028) | (0.087) |
INCG | 0.171*** | 0.183*** | 0.186*** | 0.213*** | 0.082*** |
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| (0.006) | (0.004) | (0.006) | (0.011) | (0.015) |
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RESULTS: growth and welfare distribution
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
VAR. | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q |
Ln (real income PC) | ||||||||||
INCG+ |
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| 0.199*** | 0.225*** | 0.231*** | 0.294*** | 0.145*** |
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| (0.011) | (0.008) | (0.013) | (0.010) | (0.051) |
INCG- |
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| -0.140*** | -0.104*** | -0.120*** | -0.024 | 0.025 |
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| (0.011) | (0.013) | (0.012) | (0.017) | (0.049) |
DLNG | -0.251*** | -0.207*** | -0.171*** | -0.103*** | -0.039 | -0.248*** | -0.224*** | -0.189*** | -0.102*** | -0.089 |
| (0.026) | (0.022) | (0.019) | (0.033) | (0.090) | (0.030) | (0.019) | (0.015) | (0.033) | (0.081) |
INCG | 0.171*** | 0.169*** | 0.180*** | 0.188*** | 0.062*** |
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| (0.007) | (0.005) | (0.004) | (0.007) | (0.016) |
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Ln (real expenditure PC) | ||||||||||
INCG+ |
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| 0.278*** | 0.290*** | 0.342*** | 0.445*** | 0.135*** |
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| (0.008) | (0.007) | (0.012) | (0.014) | (0.030) |
INCG- |
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| -0.049*** | -0.055*** | -0.008 | 0.102*** | -0.027 |
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| (0.010) | (0.010) | (0.009) | (0.019) | (0.030) |
DLNG | -0.463*** | -0.363*** | -0.214*** | -0.072** | 0.237*** | -0.480*** | -0.380*** | -0.234*** | -0.150*** | 0.189** |
| (0.025) | (0.018) | (0.022) | (0.032) | (0.074) | (0.019) | (0.022) | (0.022) | (0.028) | (0.087) |
INCG | 0.171*** | 0.183*** | 0.186*** | 0.213*** | 0.082*** |
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| (0.006) | (0.004) | (0.006) | (0.011) | (0.015) |
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RESULTS: growth and welfare distribution
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
VAR. | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q | 0.2 q | 0.4 q | 0.6 q | 0.8 q | 1.00 q |
Ln (real income PC) | ||||||||||
INCG+ |
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| 0.199*** | 0.225*** | 0.231*** | 0.294*** | 0.145*** |
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| (0.011) | (0.008) | (0.013) | (0.010) | (0.051) |
INCG- |
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| -0.140*** | -0.104*** | -0.120*** | -0.024 | 0.025 |
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| (0.011) | (0.013) | (0.012) | (0.017) | (0.049) |
DLNG | -0.251*** | -0.207*** | -0.171*** | -0.103*** | -0.039 | -0.248*** | -0.224*** | -0.189*** | -0.102*** | -0.089 |
| (0.026) | (0.022) | (0.019) | (0.033) | (0.090) | (0.030) | (0.019) | (0.015) | (0.033) | (0.081) |
INCG | 0.171*** | 0.169*** | 0.180*** | 0.188*** | 0.062*** |
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| (0.007) | (0.005) | (0.004) | (0.007) | (0.016) |
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Ln (real expenditure PC) | ||||||||||
INCG+ |
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| 0.278*** | 0.290*** | 0.342*** | 0.445*** | 0.135*** |
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| (0.008) | (0.007) | (0.012) | (0.014) | (0.030) |
INCG- |
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| -0.049*** | -0.055*** | -0.008 | 0.102*** | -0.027 |
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| (0.010) | (0.010) | (0.009) | (0.019) | (0.030) |
DLNG | -0.463*** | -0.363*** | -0.214*** | -0.072** | 0.237*** | -0.480*** | -0.380*** | -0.234*** | -0.150*** | 0.189** |
| (0.025) | (0.018) | (0.022) | (0.032) | (0.074) | (0.019) | (0.022) | (0.022) | (0.028) | (0.087) |
INCG | 0.171*** | 0.183*** | 0.186*** | 0.213*** | 0.082*** |
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| (0.006) | (0.004) | (0.006) | (0.011) | (0.015) |
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RESULTS: growth and welfare distribution
quantile | Income per capita | Expenditure per capita | Lower Bound | Upper bound | Food |
1 | 266 | 250 | 758 | 1138 | 531 |
2 | 520 | 474 | 758 | 1138 | 531 |
3 | 953 | 838 | 758 | 1138 | 531 |
4 | 1950 | 1742 | 758 | 1138 | 531 |
5 | 10453 | 9307 | 758 | 1138 | 531 |
Exact percentile of income |
|
| 44th | 57th | 32th |
Exact percentile of exp. |
|
| 48th | 60th | 36th |
Summary of findings
Policy options
| Pop. Share (All) | Average Amount (All) | Pop share (P=0) | Average amount (P=0) | Pop share(P=1) | Average amount (P=1) |
Gov. Social grants | 60% | 1582 | 47% | 1343 | 80% | 1790 |
Other Gov non-wage | 1% | 1710 | 1% | 1830 | 1% | 1432 |
Wage income | 53% | 6263 | 57% | 8061 | 40% | 3104 |
Policy options: Poverty models
| (1) | (2) | (3) | (4) | (5) | (6) |
VARIABLES | Logit | Logit | Tobit PG | Tobit PG | Tobit SPG | Tobit SPG |
LG_i | 0.388*** | 0.604** | 0.138*** | 0.172*** | 0.091*** | 0.099*** |
LMINC_i | -0.218*** | -0.397*** | -0.055*** | -0.107*** | -0.031*** | -0.063*** |
DLNG | 0.657*** | 1.155*** | 0.191*** | 0.255*** | 0.114*** | 0.134*** |
INCG+ | -0.296*** | -0.445*** | -0.089*** | -0.122*** | -0.054*** | -0.076*** |
INCG- | 0.728*** | -0.139 | 0.153*** | -0.048 | 0.088*** | -0.027 |
GOVHC |
| -1.023*** |
| -0.261*** |
| -0.151*** |
GOVHC#INCG- |
| -0.013 |
| -0.010 |
| -0.007 |
GOVED |
| -0.864*** |
| -0.228*** |
| -0.133*** |
GOVED#INCG- |
| -0.140 |
| -0.035 |
| -0.020 |
EDU1 |
| -0.444 |
| -0.126 |
| -0.077 |
EDU2 |
| -0.755* |
| -0.191* |
| -0.113* |
EDU3 |
| -1.673*** |
| -0.428*** |
| -0.251*** |
EDU1#INCG- |
| 0.178 |
| 0.074 |
| 0.037 |
EDU2#INCG- |
| -0.382 |
| -0.099 |
| -0.052 |
EDU3#INCG- |
| -0.455 |
| -0.118* |
| -0.070 |
SSG | -0.366*** |
| -0.100*** |
| -0.058*** |
|
SSG#INCG- | -0.079 |
| -0.025 |
| -0.017* |
|
LLMI | -0.551*** |
| -0.143*** |
| -0.085*** |
|
LLMI#INCG- | -0.076*** |
| -0.014*** |
| -0.008*** |
|
Constant | 7.237*** | 5.265*** | 1.834*** | 1.440*** | 1.030*** | 0.843*** |
var(e.) |
|
| 0.238*** | 0.201*** | 0.088*** | 0.071*** |
|
|
| (0.002) | (0.006) | (0.001) | (0.002) |
LR Chi2 | 11592 | 1498 | 11411 | 1581 | 10753 | 1488. |
Prob(chi2) | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Pseudo R2 | 0.208 | 0.107 | 0.056 | 0.14 | 0.12 | 0.20 |
Observations | 97,926 | 9,298 | 97,915 | 9,298 | 97,915 | 9,298 |
Policy options: Bottom40 incomes
| (1) | (2) | (3) | (4) | (5) | (6) |
VARIABLES | FE | FE | FE | Panel IV | Panel IV | Panel IV |
LG_i | -1.893*** | -1.138*** | -0.976*** | -0.902*** | -0.613*** | -0.535*** |
LMINC_i | 0.070** | 0.106*** | 0.123*** | 0.094*** | 0.163*** | 0.100*** |
DLNG | 0.796*** | 1.154*** | 0.787*** | 0.986*** | 0.585*** | 0.950*** |
INCG+ | 0.124*** | -0.049*** | 0.068*** | 0.284*** | 0.183*** | 0.132*** |
INCG- | -0.535*** | -0.064* | -0.020*** | -0.383*** | -0.823*** | -0.315*** |
LSSGA | 0.003 |
|
| 0.092*** |
|
|
LSSGA#INCG- | 0.266*** |
|
| 0.259* |
|
|
LOGI | 0.024** |
|
| 0.048*** |
|
|
LOGI#INCG- | 0.016 |
|
| 0.052 |
|
|
LLMI | 0.078*** |
|
| 0.001** |
|
|
LLMI#INC- | 0.047 |
|
| 0.339*** |
|
|
GOVHC |
| 0.096*** |
|
| 0.167*** |
|
GOVHC#INCG- |
| 0.023 |
|
| 0.415*** |
|
GOVED |
| 0.319*** |
|
| 0.387*** |
|
GOVED#INCG- |
| 0.081** |
|
| 0.670*** |
|
EDU1 |
|
| 0.035*** |
|
| 0.272*** |
EDU2 |
|
| 0.086*** |
|
| 0.303*** |
EDU3 |
|
| 0.141*** |
|
| 0.323*** |
EDU1#INCG- |
|
| 0.013 |
|
| 0.070*** |
EDU2#INCG- |
|
| 0.012 |
|
| 0.774*** |
EDU3#INCG- |
|
| 0.020 |
|
| 0.839*** |
Constant | 10.201*** | 9.252*** | 9.559*** | 8.296*** | 8.474*** | -1.249*** |
F-STAT | 536 | 6363 | 81891 | 107 | 973 | 9884 |
Observations | 749 | 9,132 | 159,097 | 749 | 9,132 | 159,097 |
RMSE |
|
|
| 0.30 | 0.44 | 0.35 |
CD F-stat |
|
|
| 11.04(10%) | 36(5%) | 1440(5%) |
SARGAN P-val |
|
|
| 0.112 | 0.211 | 0.108 |
R-squared | 0.89 | 0.86 | 0.85 | 0.62 | 0.49 | 0.41 |
Discussion: Health & Education
Discussion: Free Public Health
Discussion: Free Public Health
Discussion: Free Education
Discussion: Free Education
Discussion: Social Grants
Discussion: Social Grants
Discussion: Levels of Education & Labour Incomes
Discussion: Key policy message
Conclusion
Conclusion
Conclusion
Thank You