Table 1: MST—Test of Authentic effect
(1) |
(2) T-stat |
(3) |
(4) |
(5) Corrected T-stat | |
log of degrees of freedom degrees of freedom (square root) N (in logs) precision |
0.175*** (0.026) |
0.013 (0.008) |
0.176*** |
0.001*** |
-0.010 (0.013) |
Constant |
-1.059*** (0.224) |
1.400* (0.549) |
-1.078*** (0.227) |
0.066 (0.092) | |
Observations |
172 |
173 |
172 |
172 |
173 |
R2 |
0.218 |
0.061 |
0.220 |
0.227 |
0.008 |
F-test |
45.10 |
2.362 |
45.57 |
30.28 |
0.515 |
Robust Standard errors in parentheses, Absolute values of T-stat used
+ p < 0.1, * p < 0.05, ** p < 0.01, *** p < 0.001
Pooled Meta-Regression Analysis
In Table (2), our initial FAT/PET results are presented using a random effects model. Precision is insignif-
icant in all three columns of the table, indicating the absence of a genuine effect. The constant (β0) in
Equation (8) is significant at 5% in column (2) indicating the presence of publication bias. In the remaining
two columns the FAT is not passed. This is not however, indicative of the absence of publication bias, given
that the funnel plots are consistent with the result from column (2). We believe it is the nesting of several
coefficients per study which is driving this. In terms of the remaining variables in columns (2) and (3),
it is observed that the number of explanatory variables, annual data and logged dependent variable con-
tribute to higher t-statistic values, all things equal. On the contrary, holding all other variables constant, the
number of countries, cross-sectional data, robust standard errors, product fixed effects, GMM and Heck-
man/Tobit type estimators relative to other estimators reduce the reported t-statistics. These are all in line
with expectations—for example robust standard errors tend to reduce the bias in reported t-statistics, while
increasing the number of countries (increases the sample size) and dilutes the effect of the reported agoa
coefficient. Nevertheless, product fixed effects, GMM and Heckman/Tobit estimators tend to reduce the
bias in OLS coefficients. Further analysis to investigate the publication bias and the evidence of a genuine
effect are presented in the remaining tables to enable us reach a more definitive conclusion on the presence
of publication bias and genuine effects.
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