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İleri Panel Veri Yöntemleri Sabit etkileri

Panel veri analizi ne işe yarar? Zaman serileri ve yatay kesit analizinin birleştirilmesini ve uygun modellerin test edilmesini sağlayan yönteme panel veri analizi denilmektedir Zaman serisi ve yatay kesit verilerinin birleştirilmesi ile oluşturulan verilere “Longitudinal veya Havuzlanmış Veri (Pooled Data) denilmektedir.

library(wooldridge)
## Warning: package 'wooldridge' was built under R version 4.1.3
library(plm)
## Warning: package 'plm' was built under R version 4.1.3
library(rmarkdown)
data("murder")
paged_table(murder)

zaman ve birey

murder.yahya1 <- pdata.frame(murder,index = c("state" , "year"))
                plm içindeki padata frame tanıtım
                
                

‘pdata.frame’ sınıfı bir nesne, bireysel ve zaman boyutlarını tanımlayan bir indeks niteliğine sahip bir data.frame’dir.

‘pdata.frame’ sınıfı bir nesne, bireysel ve zaman boyutlarını tanımlayan bir indeks niteliğine sahip bir data.frame’dir.

pdim(murder.yahya1 )
## Balanced Panel: n = 51, T = 3, N = 153

13 değişkene ilişkin 153 gözlem içeren bir data.frame:

PLm modelin(Regresyonu) oluşturmak

model1 <- plm(mrdrte~id+state+year+exec+state,data = murder.yahya1,model ="within"  )
summary(model1)
## Oneway (individual) effect Within Model
## 
## Call:
## plm(formula = mrdrte ~ id + state + year + exec + state, data = murder.yahya1, 
##     model = "within")
## 
## Balanced Panel: n = 51, T = 3, N = 153
## 
## Residuals:
##       Min.    1st Qu.     Median    3rd Qu.       Max. 
## -26.935057  -0.635056  -0.079961   0.541240  13.633215 
## 
## Coefficients:
##        Estimate Std. Error t-value Pr(>|t|)  
## year90  1.36310    0.69746  1.9544  0.05348 .
## year93  1.73173    0.69887  2.4779  0.01491 *
## exec   -0.12727    0.17599 -0.7231  0.47130  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    1311.5
## Residual Sum of Squares: 1222.2
## R-Squared:      0.068094
## Adj. R-Squared: -0.4308
## F-statistic: 2.41131 on 3 and 99 DF, p-value: 0.071365

normal bildiğimiz lm regresyonu oluşturmak

model2 <- lm( mrdrte~id+state+year+exec+state,data = murder.yahya1)
summary(model2)
## 
## Call:
## lm(formula = mrdrte ~ id + state + year + exec + state, data = murder.yahya1)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -26.9351  -0.6351  -0.0800   0.5412  13.6332 
## 
## Coefficients: (1 not defined because of singularities)
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  8.055094   2.150831   3.745 0.000303 ***
## id          -0.110019   0.058559  -1.879 0.063219 .  
## stateAL      2.238449   2.946425   0.760 0.449229    
## stateAR      0.889726   2.821657   0.315 0.753182    
## stateAZ     -0.696048   2.845353  -0.245 0.807252    
## stateCA      3.414900   2.787458   1.225 0.223446    
## stateCO     -3.159926   2.759174  -1.145 0.254869    
## stateCT     -2.883240   2.734217  -1.055 0.294219    
## stateDC     56.070131   2.687439  20.864  < 2e-16 ***
## stateDE     -3.173222   2.710296  -1.171 0.244489    
## stateFL      3.280107   2.957488   1.109 0.270080    
## stateGA      4.384080   2.766399   1.585 0.116210    
## stateHI     -3.566481   2.625516  -1.358 0.177427    
## stateIA     -5.226407   2.559433  -2.042 0.043809 *  
## stateID     -4.756462   2.607180  -1.824 0.071112 .  
## stateIL      2.453556   2.590039   0.947 0.345790    
## stateIN     -0.960669   2.574429  -0.373 0.709828    
## stateKS     -2.283055   2.546014  -0.897 0.372045    
## stateKY     -0.006369   2.533877  -0.003 0.997999    
## stateLA      9.839985   2.665378   3.692 0.000365 ***
## stateMA     -3.032962   2.498499  -1.214 0.227669    
## stateMD      4.490353   2.505338   1.792 0.076137 .  
## stateME     -4.719665   2.513523  -1.878 0.063364 .  
## stateMI      4.243724   2.493017   1.702 0.091848 .  
## stateMN     -3.546258   2.488901  -1.425 0.157352    
## stateMO      3.707092   2.559985   1.448 0.150751    
## stateMS      5.757694   2.490434   2.312 0.022854 *  
## stateMT     -2.116202   2.484806  -0.852 0.396460    
## stateNC      4.814529   2.526712   1.905 0.059623 .  
## stateND     -3.902720   2.534112  -1.540 0.126733    
## stateNE     -2.639517   2.486200  -1.062 0.290970    
## stateNH     -3.486146   2.493115  -1.398 0.165145    
## stateNJ     -0.509461   2.498625  -0.204 0.838853    
## stateNM      3.533891   2.505492   1.410 0.161539    
## stateNV      3.773524   2.496972   1.511 0.133913    
## stateNY      7.577243   2.513704   3.014 0.003271 ** 
## stateOH      0.840632   2.546276   0.330 0.741990    
## stateOK      3.077918   2.562889   1.201 0.232634    
## stateOR     -0.239331   2.574429  -0.093 0.926120    
## statePA      1.504021   2.590378   0.581 0.562817    
## stateRI     -0.619294   2.607544  -0.238 0.812759    
## stateSC      5.860414   2.632209   2.226 0.028252 *  
## stateSD     -2.065923   2.645433  -0.781 0.436702    
## stateTN      5.577429   2.666106   2.092 0.038999 *  
## stateTX     11.163079   4.719968   2.365 0.019976 *  
## stateUT     -0.875267   2.713145  -0.323 0.747677    
## stateVA      5.014439   2.935501   1.708 0.090732 .  
## stateVT     -1.159182   2.734718  -0.424 0.672576    
## stateWA      1.469944   2.785139   0.528 0.598832    
## stateWI      0.580892   2.840560   0.204 0.838383    
## stateWV      2.104207   2.812645   0.748 0.456159    
## stateWY            NA         NA      NA       NA    
## year90       1.363103   0.697461   1.954 0.053478 .  
## year93       1.731727   0.698869   2.478 0.014908 *  
## exec        -0.127267   0.175991  -0.723 0.471296    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.514 on 99 degrees of freedom
## Multiple R-squared:  0.9049, Adjusted R-squared:  0.8539 
## F-statistic: 17.76 on 53 and 99 DF,  p-value: < 2.2e-16

Kesensiz lm regregresyonu

model3 <- lm( mrdrte~id+state+year+exec+state-1,data = murder.yahya1)
summary(model3)
## 
## Call:
## lm(formula = mrdrte ~ id + state + year + exec + state - 1, data = murder.yahya1)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -26.9351  -0.6351  -0.0800   0.5412  13.6332 
## 
## Coefficients: (1 not defined because of singularities)
##         Estimate Std. Error t value Pr(>|t|)    
## id       0.04792    0.04056   1.182 0.240220    
## stateAK  7.73921    2.06649   3.745 0.000303 ***
## stateAL 10.13560    2.13151   4.755 6.74e-06 ***
## stateAR  8.31305    2.08036   3.996 0.000124 ***
## stateAZ  6.88522    2.07367   3.320 0.001260 ** 
## stateCA 10.68028    2.07296   5.152 1.32e-06 ***
## stateCO  3.94751    2.07310   1.904 0.059793 .  
## stateCT  4.06625    2.07673   1.958 0.053044 .  
## stateDC 62.70374    2.08634  30.054  < 2e-16 ***
## stateDE  3.61833    2.08115   1.739 0.085210 .  
## stateFL  9.75577    2.44986   3.982 0.000130 ***
## stateGA 10.70180    2.24774   4.761 6.58e-06 ***
## stateHI  2.59330    2.10654   1.231 0.221214    
## stateIA  0.30160    2.14395   0.141 0.888413    
## stateID  1.24537    2.11479   0.589 0.557278    
## stateIL  8.29745    2.12378   3.907 0.000171 ***
## stateIN  4.72528    2.13372   2.215 0.029083 *  
## stateKS  3.08701    2.15511   1.432 0.155176    
## stateKY  5.20575    2.16697   2.402 0.018156 *  
## stateLA 14.89416    2.34090   6.363 6.19e-09 ***
## stateMA  1.54739    2.22120   0.697 0.487658    
## stateMD  9.22864    2.20665   4.182 6.25e-05 ***
## stateME  0.17657    2.19275   0.081 0.935983    
## stateMI  8.66613    2.23639   3.875 0.000192 ***
## stateMN  0.71820    2.25221   0.319 0.750483    
## stateMO  7.65567    2.36612   3.236 0.001651 ** 
## stateMS  9.86421    2.27301   4.340 3.44e-05 ***
## stateMT  1.67443    2.30331   0.727 0.468961    
## stateNC  7.49956    2.44541   3.067 0.002790 ** 
## stateND -1.37563    2.46388  -0.558 0.577887    
## stateNE  0.99317    2.32151   0.428 0.669716    
## stateNH -0.16934    2.35958  -0.072 0.942931    
## stateNJ  2.64940    2.37942   1.113 0.268205    
## stateNM  6.53481    2.39979   2.723 0.007645 ** 
## stateNV  7.24827    2.34842   3.086 0.002627 ** 
## stateNY 10.42022    2.42066   4.305 3.94e-05 ***
## stateOH  3.20978    2.48620   1.291 0.199698    
## stateOK  5.28912    2.51206   2.105 0.037779 *  
## stateOR  1.81393    2.53221   0.716 0.475466    
## statePA  3.39934    2.55586   1.330 0.186569    
## stateRI  1.11808    2.57994   0.433 0.665686    
## stateSC  7.43984    2.61064   2.850 0.005323 ** 
## stateSD -0.64444    2.62931  -0.245 0.806889    
## stateTN  6.84097    2.65458   2.577 0.011440 *  
## stateTX 12.26868    4.71467   2.602 0.010683 *  
## stateUT  0.07239    2.70855   0.027 0.978731    
## stateVA  5.64621    2.93491   1.924 0.057251 .  
## stateVT -0.36947    2.73260  -0.135 0.892723    
## stateWA  1.94377    2.78580   0.698 0.486974    
## stateWI  0.73884    2.84141   0.260 0.795385    
## stateWV  2.42009    2.81372   0.860 0.391810    
## stateWY       NA         NA      NA       NA    
## year90   1.36310    0.69746   1.954 0.053478 .  
## year93   1.73173    0.69887   2.478 0.014908 *  
## exec    -0.12727    0.17599  -0.723 0.471296    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.514 on 99 degrees of freedom
## Multiple R-squared:  0.9464, Adjusted R-squared:  0.9172 
## F-statistic: 32.38 on 54 and 99 DF,  p-value: < 2.2e-16

stargazer taplolarin birleşimektir

library(stargazer)
## 
## Please cite as:
##  Hlavac, Marek (2022). stargazer: Well-Formatted Regression and Summary Statistics Tables.
##  R package version 5.2.3. https://CRAN.R-project.org/package=stargazer
stargazer(model1,model2,model3,type = "text")
## 
## =================================================================================================
##                                                       Dependent variable:                        
##                               -------------------------------------------------------------------
##                                                             mrdrte                               
##                                      panel                              OLS                      
##                                     linear                                                       
##                                       (1)                   (2)                     (3)          
## -------------------------------------------------------------------------------------------------
## id                                                        -0.110*                  0.048         
##                                                           (0.059)                 (0.041)        
##                                                                                                  
## stateAK                                                                          7.739***        
##                                                                                   (2.066)        
##                                                                                                  
## stateAL                                                    2.238                 10.136***       
##                                                           (2.946)                 (2.132)        
##                                                                                                  
## stateAR                                                    0.890                 8.313***        
##                                                           (2.822)                 (2.080)        
##                                                                                                  
## stateAZ                                                   -0.696                 6.885***        
##                                                           (2.845)                 (2.074)        
##                                                                                                  
## stateCA                                                    3.415                 10.680***       
##                                                           (2.787)                 (2.073)        
##                                                                                                  
## stateCO                                                   -3.160                  3.948*         
##                                                           (2.759)                 (2.073)        
##                                                                                                  
## stateCT                                                   -2.883                  4.066*         
##                                                           (2.734)                 (2.077)        
##                                                                                                  
## stateDC                                                  56.070***               62.704***       
##                                                           (2.687)                 (2.086)        
##                                                                                                  
## stateDE                                                   -3.173                  3.618*         
##                                                           (2.710)                 (2.081)        
##                                                                                                  
## stateFL                                                    3.280                 9.756***        
##                                                           (2.957)                 (2.450)        
##                                                                                                  
## stateGA                                                    4.384                 10.702***       
##                                                           (2.766)                 (2.248)        
##                                                                                                  
## stateHI                                                   -3.566                   2.593         
##                                                           (2.626)                 (2.107)        
##                                                                                                  
## stateIA                                                  -5.226**                  0.302         
##                                                           (2.559)                 (2.144)        
##                                                                                                  
## stateID                                                   -4.756*                  1.245         
##                                                           (2.607)                 (2.115)        
##                                                                                                  
## stateIL                                                    2.454                 8.297***        
##                                                           (2.590)                 (2.124)        
##                                                                                                  
## stateIN                                                   -0.961                  4.725**        
##                                                           (2.574)                 (2.134)        
##                                                                                                  
## stateKS                                                   -2.283                   3.087         
##                                                           (2.546)                 (2.155)        
##                                                                                                  
## stateKY                                                   -0.006                  5.206**        
##                                                           (2.534)                 (2.167)        
##                                                                                                  
## stateLA                                                  9.840***                14.894***       
##                                                           (2.665)                 (2.341)        
##                                                                                                  
## stateMA                                                   -3.033                   1.547         
##                                                           (2.498)                 (2.221)        
##                                                                                                  
## stateMD                                                   4.490*                 9.229***        
##                                                           (2.505)                 (2.207)        
##                                                                                                  
## stateME                                                   -4.720*                  0.177         
##                                                           (2.514)                 (2.193)        
##                                                                                                  
## stateMI                                                   4.244*                 8.666***        
##                                                           (2.493)                 (2.236)        
##                                                                                                  
## stateMN                                                   -3.546                   0.718         
##                                                           (2.489)                 (2.252)        
##                                                                                                  
## stateMO                                                    3.707                 7.656***        
##                                                           (2.560)                 (2.366)        
##                                                                                                  
## stateMS                                                   5.758**                9.864***        
##                                                           (2.490)                 (2.273)        
##                                                                                                  
## stateMT                                                   -2.116                   1.674         
##                                                           (2.485)                 (2.303)        
##                                                                                                  
## stateNC                                                   4.815*                 7.500***        
##                                                           (2.527)                 (2.445)        
##                                                                                                  
## stateND                                                   -3.903                  -1.376         
##                                                           (2.534)                 (2.464)        
##                                                                                                  
## stateNE                                                   -2.640                   0.993         
##                                                           (2.486)                 (2.322)        
##                                                                                                  
## stateNH                                                   -3.486                  -0.169         
##                                                           (2.493)                 (2.360)        
##                                                                                                  
## stateNJ                                                   -0.509                   2.649         
##                                                           (2.499)                 (2.379)        
##                                                                                                  
## stateNM                                                    3.534                 6.535***        
##                                                           (2.505)                 (2.400)        
##                                                                                                  
## stateNV                                                    3.774                 7.248***        
##                                                           (2.497)                 (2.348)        
##                                                                                                  
## stateNY                                                  7.577***                10.420***       
##                                                           (2.514)                 (2.421)        
##                                                                                                  
## stateOH                                                    0.841                   3.210         
##                                                           (2.546)                 (2.486)        
##                                                                                                  
## stateOK                                                    3.078                  5.289**        
##                                                           (2.563)                 (2.512)        
##                                                                                                  
## stateOR                                                   -0.239                   1.814         
##                                                           (2.574)                 (2.532)        
##                                                                                                  
## statePA                                                    1.504                   3.399         
##                                                           (2.590)                 (2.556)        
##                                                                                                  
## stateRI                                                   -0.619                   1.118         
##                                                           (2.608)                 (2.580)        
##                                                                                                  
## stateSC                                                   5.860**                7.440***        
##                                                           (2.632)                 (2.611)        
##                                                                                                  
## stateSD                                                   -2.066                  -0.644         
##                                                           (2.645)                 (2.629)        
##                                                                                                  
## stateTN                                                   5.577**                 6.841**        
##                                                           (2.666)                 (2.655)        
##                                                                                                  
## stateTX                                                  11.163**                12.269**        
##                                                           (4.720)                 (4.715)        
##                                                                                                  
## stateUT                                                   -0.875                   0.072         
##                                                           (2.713)                 (2.709)        
##                                                                                                  
## stateVA                                                   5.014*                  5.646*         
##                                                           (2.936)                 (2.935)        
##                                                                                                  
## stateVT                                                   -1.159                  -0.369         
##                                                           (2.735)                 (2.733)        
##                                                                                                  
## stateWA                                                    1.470                   1.944         
##                                                           (2.785)                 (2.786)        
##                                                                                                  
## stateWI                                                    0.581                   0.739         
##                                                           (2.841)                 (2.841)        
##                                                                                                  
## stateWV                                                    2.104                   2.420         
##                                                           (2.813)                 (2.814)        
##                                                                                                  
## stateWY                                                                                          
##                                                                                                  
##                                                                                                  
## year90                              1.363*                1.363*                  1.363*         
##                                     (0.697)               (0.697)                 (0.697)        
##                                                                                                  
## year93                              1.732**               1.732**                 1.732**        
##                                     (0.699)               (0.699)                 (0.699)        
##                                                                                                  
## exec                                -0.127                -0.127                  -0.127         
##                                     (0.176)               (0.176)                 (0.176)        
##                                                                                                  
## Constant                                                 8.055***                                
##                                                           (2.151)                                
##                                                                                                  
## -------------------------------------------------------------------------------------------------
## Observations                          153                   153                     153          
## R2                                   0.068                 0.905                   0.946         
## Adjusted R2                         -0.431                 0.854                   0.917         
## Residual Std. Error (df = 99)                              3.514                   3.514         
## F Statistic                   2.411* (df = 3; 99) 17.765*** (df = 53; 99) 32.385*** (df = 54; 99)
## =================================================================================================
## Note:                                                                 *p<0.1; **p<0.05; ***p<0.01