-------------------------------------------------------------------------------
       log:  C:\Res\Meta\progs\p1.log
  log type:  text
 opened on:   
. *
. * This STATA program produces some standard
meta-analysis.
. *
. set more 1
. *
. * Read in, manipulate and summarize the data set
. *
. use \res\meta\data\data1
. g studyn=_n
. label var studyn "Study Number"
. g tratio=gamma/segamma
. label var tratio "t-statistic for gamma"
. g pgamma=ttail(obs,tratio)
. label var pgamma "P-value for gamma"
. replace pgamma=1.e-20 if pgamma==0.
(3 real changes made)
. list author studyn gamma segamma
                              author     studyn     
gamma    segamma
  1.                            Rose          1       1.21        .14
  2.                      Engel-Rose          2       1.21        .37
  3.                    Frankel-Rose          3       1.36        .18
  4.                Rose-van Wincoop          4        .91        .18
  5.                      Glick-Rose          5        .65        .05
  6.                         Persson          6       .506       .257
  7.                            Rose          7        .74        .05
  8.                         Honohan          8   
   .921         .4
  9.                          Nitsch          9        .82        .27
 10.                      Pakko-Wall         10     
-.378       .529
 11.                      Walsh-Thom         11       .098       .196
 12.                          Melitz         12         .7        .23
 13.      Lopez-Cordova and Meissner         13       .716       .186
 14.                Silvana Tenreyro         14       .471       .316
 15.                     Levy Yeyati         15         .5        .25
 16.                          Nitsch         16        .62        .17
 17.            Flandreau and Maurel         17       1.16        .07
 18.                           Klein         18         .5        .27
 19. Estevadeoral,
Frantz and Taylor         19      
.293       .145
. d
Contains data from \res\meta\data\data1.dta
  obs:            19                          
 vars:            22                          
 size:         2,242 (95.0% of memory free)
-------------------------------------------------------------------------------
             
storage  display     value
variable name  
type   format      label     
variable label
-------------------------------------------------------------------------------
author         
str31  %31s                   Author
pubn           
str20  %20s                   Publication Venue
prefer         
float  %9.0g                  Preferred/Best (Verbal)
Estimate
gamma          
float  %9.0g                  Quantitative Estimate
segamma        
float  %9.0g                  Standard Error of gamma
obs            
float  %9.0g                  No. Observations
nonts          
byte   %9.0g                  1 for c/s or panel (with
N>>T)
                                                studies
nocountries    
int    %9.0g                  Span of Countries
noyears        
byte   %9.0g                  Span of Years
postwar        
byte   %9.0g                  1 for post-WW2
roseauth       
byte   %9.0g                  1 if Rose is co-author
meanwithin     
float  %9.0g                  Mean of within study
estimates
sdwithin       
float  %9.0g                  S.D. of within study
estimates
medwithin      
float  %9.0g                  Median of within study estimates
minwithin      
float  %9.0g                  Min of within study estimates
maxwithin      
float  %9.0g                  Max of within study estimates
countwithin    
byte   %9.0g                  Number of within study
estimates
trimmax         float 
%9.0g                  Trimmed Max
of within study
                                               
estimates
trimmin        
float  %9.0g                  Trimmed Min of within study
                                               
estimates
studyn         
float  %9.0g                  Study Number
tratio         
float  %9.0g                  t-statistic for gamma
pgamma         
float  %9.0g                  P-value for gamma
-------------------------------------------------------------------------------
Sorted by:  
     Note:  dataset has changed since last saved
. sum
    Variable |     Obs       
Mean   Std. Dev.       Min        Max
-------------+-----------------------------------------------------
      author |       0
        pubn |       0
      prefer |      19   
.9410526   .6867872          0          2
       gamma |      19    
.684579   .4177448      -.378       1.36
     segamma |      19   
.2241579    .121654        .05       .529
         obs |      19   
33448.79   66535.88        190    
219558
       nonts |      19   
.8421053   .3746343          0          1
 nocountries |      19   
132.0526   78.52705         16        217
     noyears |      19   
22.42105   15.43559          1         50
     postwar |      19   
.8421053   .3746343          0          1
    roseauth |      19   
.3157895   .4775669          0          1
  meanwithin |      19   
1.010764   .8582899   .1025714  
3.902115
    sdwithin |      19   
.2412389   .3945224   .0589924   1.831724
   medwithin |      19   
.8299211   .5010568       -.01       1.97
   minwithin |      19   
.0561579    .847103      -1.53       1.45
   maxwithin |      19   
6.221421   18.62448        .69         83
 countwithin |      19   
20.15789    20.9079          4         83
     trimmax |      19   
1.815211   1.037545        .69       5.44
     trimmin |      19   
.2118421    .773086       -1.5       1.45
      studyn |      19          10  
5.627314          1         19
      tratio |      19   
4.941714   4.927131  -.7145558  
16.57143
      pgamma |      19   
.0660508   .1827615   1.00e-20  
.7625544
. *
. * Perform the meta-analysis
. *
. metap pgamma, method(f)
Meta-analysis of p-values
--------------------------------------------------------------
 Method               |   chi2        
p_value      studies
----------------------+---------------------------------------
 Fisher               |   576.56428   
1.990e-97    19
--------------------------------------------------------------
. metap pgamma, method(ea)
Meta-analysis of p_values
--------------------------------------------------------------
 Method               |   .           
p_value      studies
----------------------+---------------------------------------
 Edgington,
additive  |   .           
6.150e-16    19
--------------------------------------------------------------
. meta gamma segamma
Meta-analysis 
       |  Pooled     
95% CI         Asymptotic      No. of
Method |    
Est   Lower  
Upper  z_value  p_value  
studies
-------+----------------------------------------------------
Fixed  |   0.772  
0.718   0.825   28.437   
0.000     19
Random |  
0.730   0.580   0.881   
9.493    0.000
Test for heterogeneity: Q= 92.334 on 18 degrees of
freedom (p= 0.000)
Moment-based estimate of between studies variance =  0.069
. metainf gamma segamma, id(studyn) print
------------------------------------------------------------------------------
 Study ommited     |  
Coef.          [95% 
Conf.  Interval]
-------------------+----------------------------------------------------------
 1                 |   .75439388      .70019108    .80859673
 2                 |   .76913375      .71581489    .8224526
 3                 |   .75782365      .70403385    .8116135
 4                 |   .76828462      .71449482    .82207447
 5                 |   .82220739      .75890207    .88551271
 6                 |   .77449644      .72102231    .8279705
 7                 |   .78465074 
    .72134542    .84795606
 8                 |   .77081323      .71751523    .82411128
 9                 |   .7710095       .71756369    .82445532
 10                |   .77453578      .72129035    .82778114
 11                |   .78466111      .73096889    .83835328
 12                |   .77251315      .71896398    .82606232
 13                |   .7727108       .71896058    .82646096
 14                |   .77373576      .72036338    .82710814
 15                |   .77473986      .72124863    .8282311
 16                |   .77546382      .72159809    .82932949
 17                |   .70282781      .64514363    .76051193
 18                |   .77427357      .72082776    .82771933
 19                |   .7888642       .73473293    .84299552
-------------------+----------------------------------------------------------
 Combined          |  
.77150418      .71832888    .82467948
------------------------------------------------------------------------------
. metareg gamma obs, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .01409318
Iteration 3: tau^2 = .07512375
Iteration 4: tau^2 = .09770425
Meta-analysis regression                               No of studies
=   19
                                                 
     tau^2 method      reml
                                                      
tau^2 estimate =  .0978
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z|    
[95% Conf. Interval]
-------------+----------------------------------------------------------------
         obs |   4.48e-08  
1.16e-06     0.04   0.969   
-2.22e-06    2.31e-06
       _cons |  
.7222008   .1004021     7.19  
0.000     .5254162    .9189853
------------------------------------------------------------------------------
. metareg gamma segamma, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .03010489
Iteration 3: tau^2 = .08777508
Iteration 4: tau^2 = .09033508
Meta-analysis regression                               No of studies
=   19
                                                      
tau^2 method      reml
                                                       tau^2 estimate =  .0903
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z| 
   [95% Conf. Interval]
-------------+----------------------------------------------------------------
     segamma |  -.9933213   
.823494    -1.21   0.228    
-2.60734    .6206972
       _cons |   .9130875  
.1771052     5.16   0.000    
.5659677    1.260207
------------------------------------------------------------------------------
. metareg gamma roseauth, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .02397665
Iteration 3: tau^2 = .09391623
Iteration 4: tau^2 = .07073589
Iteration 5: tau^2 = .0759793
Iteration 6: tau^2 = .0746044
Iteration 7: tau^2 = .07495284
Meta-analysis regression                               No of studies
=   19
                                                      
tau^2 method      reml
                                                       tau^2
estimate =  .0749
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.   Std. Err.     
z    P>|z|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
    roseauth |   .3770075  
.1637407     2.30   0.021    
.0560817    .6979334
       _cons |   .5869939  
.1004502     5.84   0.000    
.3901151    .7838727
------------------------------------------------------------------------------
. metareg gamma nonts, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .01140247
Iteration 3: tau^2 = .05984409
Iteration 4: tau^2 = .08546313
Iteration 5: tau^2 = .08589089
Meta-analysis regression                               No of studies
=   19
                                                      
tau^2 method      reml
                                                       tau^2 estimate =  .0859
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z|    
[95% Conf. Interval]
-------------+----------------------------------------------------------------
       nonts |   .2387602  
.2034955     1.17   0.241   
-.1600836    .6376041
       _cons |   .5384158  
.1805667     2.98   0.003    
.1845115    .8923201
------------------------------------------------------------------------------
. metareg gamma nocountries, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .01458143
Iteration 3: tau^2 = .08299151
Iteration 4: tau^2 = .09447728
Iteration 5: tau^2 = .09421696
Meta-analysis regression                               No of studies
=   19
                                                      
tau^2 method      reml
                                                      
tau^2 estimate =  .0942
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z|    
[95% Conf. Interval]
-------------+----------------------------------------------------------------
 nocountries |   .0006362  
.0010878     0.58   0.559   
-.0014958    .0027682
       _cons |   .6421511  
.1654251     3.88   0.000    
.3179239    .9663784
------------------------------------------------------------------------------
. metareg gamma noyears, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .02269689
Iteration 3: tau^2 = .08865432
Iteration 4: tau^2 = .0978047
Meta-analysis regression                               No of studies =   19
                                                      
tau^2 method      reml
                                                      
tau^2 estimate =  .0977
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z|    
[95% Conf. Interval]
-------------+----------------------------------------------------------------
     noyears |  -.0021466  
.0056191    -0.38   0.702   
-.0131599    .0088667
       _cons |   .7778385  
.1654519     4.70   0.000    
.4535587    1.102118
------------------------------------------------------------------------------
. metareg gamma postwar, wsse(segamma)
Iteration 1: tau^2 = 0
Iteration 2: tau^2 = .01098566
Iteration 3: tau^2 = .06575411
Iteration 4: tau^2 = .09711704
Iteration 5: tau^2 = .09749058
Meta-analysis regression                               No of studies
=   19
                                                      
tau^2 method      reml
                                                      
tau^2 estimate =  .0975
Successive values of tau^2 differ by less than 10^-4
:convergence achieved
------------------------------------------------------------------------------
             |      Coef.  
Std. Err.      z    P>|z|    
[95% Conf. Interval]
-------------+----------------------------------------------------------------
     postwar |  -.0268468  
.2196513    -0.12   0.903   
-.4573554    .4036619
       _cons |   .7457645  
.1969708     3.79   0.000    
.3597089     1.13182
------------------------------------------------------------------------------
. *
. * Ditto but drop my observations
. *
. drop if roseauth==1
(6 observations deleted)
. sum
    Variable |     Obs       
Mean   Std. Dev.       Min        Max
-------------+-----------------------------------------------------
      author |       0
        pubn |       0
      prefer |      13   
.7146154   .5992581          0          2
       gamma |      13   
.5328462   .3849768      -.378       1.16
     segamma |      13       
.253   .1164281        .07       .529
         obs |      13   
9024.077   11323.33        190   
  31010
       nonts |      13   
.9230769   .2773501          0          1
 nocountries |      13   
107.6923   82.72886         16        205
     noyears |      13   
20.76923   13.24861          1         42
     postwar |      13   
.7692308    .438529          0          1
    roseauth |      13           0          0          0          0
  meanwithin |      13   
.7440238   .5284827   .1025714  
1.923333
    sdwithin |      13   
.1662512   .0984865   .0589924  
.4654206
   medwithin |      13      
.6945   .5040675       -.01       1.97
   minwithin |      13  
-.1786923   .8489415      -1.53       1.45
   maxwithin |      13   
1.952077   1.312218        .69       5.73
 countwithin |      13   
19.15385   22.51609          4         83
     trimmax |      13   
1.819154   1.236521        .69       5.44
     trimmin |      13      
-.045     .77003       -1.5       1.45
      studyn |      13   
12.92308   4.030334          6         19
      tratio |      13   
3.197564   4.202909  -.7145558  
16.57143
      pgamma |      13   
.0964941   .2166176   1.00e-20  
.7625544
. metap pgamma, method(f)
Meta-analysis of p-values
--------------------------------------------------------------
 Method               |   chi2        
p_value      studies
----------------------+---------------------------------------
 Fisher               |   202.92169   
2.429e-29    13
--------------------------------------------------------------
. metap pgamma, method(ea)
Meta-analysis of p_values
--------------------------------------------------------------
 Method               |   .           
p_value      studies
----------------------+---------------------------------------
 Edgington,
additive  |   .           
3.058e-09    13
--------------------------------------------------------------
. meta gamma segamma
Meta-analysis 
       |  Pooled     
95% CI         Asymptotic      No. of
Method |    
Est   Lower   Upper 
z_value  p_value   studies
-------+----------------------------------------------------
Fixed  |   0.802  
0.708   0.895   16.785   
0.000     13
Random |  
0.571   0.318   0.825   
4.416    0.000
Test for heterogeneity: Q= 63.139 on 12 degrees of
freedom (p= 0.000)
Moment-based estimate of between studies variance =  0.155
. *
. * Clean up and Close down
. *
. drop _all
. log close
       log:  C:\Res\Meta\progs\p1.log
  log type:  text
 closed on:   
-------------------------------------------------------------------------------