Import Dataset

load("Ozone Data with Region.RData")

##Sampling 30%
df4$USDM.categorical<-factor(df4$USDM.categorical,levels=c("NoDrought","ModerateDrought","SevereDrought"))

df4$modest<-ifelse(df4$USDM.categorical=="ModerateDrought",1,0)
df4$severe<-ifelse(df4$USDM.categorical=="SevereDrought",1,0)

df5<-df4%>%
  group_by(USDM.categorical,Year,month)%>%
  sample_frac(0.3)

#felm Overall Model
ov05<-felm(Max.Ozone~modest+severe+elevation+Longitude+Latitude |GEOID + Year | 0 |GEOID,
           data=df5)

ran05<-plm(Max.Ozone~modest+severe+elevation+Longitude+Latitude,
           data=df5,
           index=c("GEOID","Year","month"),
           model="random")

stargazer(ov05,ran05,type="text",title = "All Region",align = TRUE,
          column.labels = c("FELM Model","Random Effect Model"),
          add.lines = list(c("Model Name","FELM Model","Random Effect Model")),
          dep.var.caption = "Dependent Variable: Max Ozone",
          dep.var.labels.include = FALSE,
          omit.table.layout = "#")
## 
## All Region
## =============================================================
##                           Dependent Variable: Max Ozone      
##                     -----------------------------------------
##                             felm                 panel       
##                                                 linear       
##                          FELM Model       Random Effect Model
## -------------------------------------------------------------
## modest                    1.424***             1.310***      
##                            (0.161)              (0.025)      
##                                                              
## severe                    3.081***             2.610***      
##                            (0.243)              (0.037)      
##                                                              
## elevation                 0.007***             0.006***      
##                            (0.001)             (0.0001)      
##                                                              
## Longitude                   0.287              0.126***      
##                            (0.836)              (0.010)      
##                                                              
## Latitude                    0.470              -0.134***     
##                            (1.315)              (0.027)      
##                                                              
## Constant                                       56.221***     
##                                                 (1.342)      
##                                                              
## -------------------------------------------------------------
## Model Name               FELM Model       Random Effect Model
## Observations              1,976,817            1,976,817     
## R2                          0.127                0.018       
## Adjusted R2                 0.126                0.018       
## Residual Std. Error 13.609 (df = 1975871)                    
## F Statistic                                  15,382.490***   
## =============================================================
## Note:                             *p<0.1; **p<0.05; ***p<0.01

Regional Model

region<-df5$noaa_region%>%unique()%>%sort()

# Region Lopping
for(i in 1:length(region)){
  df4_region<-df4%>%
    filter(noaa_region==region[i])

  felm_region<-felm(Max.Ozone~modest+severe+elevation+Longitude+Latitude |GEOID + Year | 0 |GEOID,
                    data=df4_region)
  
  ran_model<-plm(Max.Ozone~modest+severe+elevation+Longitude+Latitude,
           data=df4_region,
           index=c("GEOID","Year","month"),
           model="random")

  stargazer(felm_region,ran_model,type="text",title = paste0(region[i]," ","Region"),align = TRUE,
            column.labels = c("FELM Model","Random Effect Model"),
            add.lines = list(c("Model Name","FELM Model","Random Effect Model")),
            dep.var.caption = "Dependent Variable: Max Ozone",
            dep.var.labels.include = FALSE,omit.table.layout = "#")
}
## 
## northeast Region
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                    -0.495*             0.497***      
##                           (0.289)              (0.050)      
##                                                             
## severe                   -4.222***            -1.826***     
##                           (0.540)              (0.162)      
##                                                             
## elevation                 0.013***            0.011***      
##                           (0.001)             (0.0002)      
##                                                             
## Longitude                 4.292**             1.855***      
##                           (1.746)              (0.087)      
##                                                             
## Latitude                  -4.644**            -3.442***     
##                           (2.245)              (0.141)      
##                                                             
## Constant                                     319.751***     
##                                               (10.608)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              960,225              960,225      
## R2                         0.089                0.005       
## Adjusted R2                0.089                0.005       
## Residual Std. Error 13.985 (df = 960049)                    
## F Statistic                                 3,234.418***    
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## northernRegion
## ===========================================================
##                          Dependent Variable: Max Ozone     
##                     ---------------------------------------
##                            felm                panel       
##                                               linear       
##                         FELM Model      Random Effect Model
## -----------------------------------------------------------
## modest                     0.180             0.512***      
##                           (0.412)             (0.048)      
##                                                            
## severe                    -0.018             0.803***      
##                           (0.623)             (0.076)      
##                                                            
## elevation                0.005***            0.005***      
##                           (0.001)            (0.0002)      
##                                                            
## Longitude                 -1.073             -0.111**      
##                           (0.810)             (0.045)      
##                                                            
## Latitude                   0.705             -0.270***     
##                           (0.828)             (0.080)      
##                                                            
## Constant                                     35.327***     
##                                               (5.288)      
##                                                            
## -----------------------------------------------------------
## Model Name              FELM Model      Random Effect Model
## Observations              226,906             226,906      
## R2                         0.180               0.032       
## Adjusted R2                0.180               0.032       
## Residual Std. Error 9.528 (df = 226832)                    
## F Statistic                                1,181.555***    
## ===========================================================
## Note:                           *p<0.1; **p<0.05; ***p<0.01
## 
## northwest Region
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                     0.228              0.471***      
##                           (0.430)              (0.082)      
##                                                             
## severe                   -2.230***            -0.993***     
##                           (0.708)              (0.190)      
##                                                             
## elevation                 0.012***            0.011***      
##                           (0.002)             (0.0002)      
##                                                             
## Longitude                  -4.407             -2.543***     
##                           (2.901)              (0.137)      
##                                                             
## Latitude                   -3.378             -2.535***     
##                           (5.914)              (0.277)      
##                                                             
## Constant                                     -157.097***    
##                                               (18.929)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              105,338              105,338      
## R2                         0.268                0.046       
## Adjusted R2                0.268                0.046       
## Residual Std. Error 10.764 (df = 105285)                    
## F Statistic                                 4,064.467***    
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## ohioRegion
## =============================================================
##                           Dependent Variable: Max Ozone      
##                     -----------------------------------------
##                             felm                 panel       
##                                                 linear       
##                          FELM Model       Random Effect Model
## -------------------------------------------------------------
## modest                      0.153              1.872***      
##                            (0.279)              (0.045)      
##                                                              
## severe                      0.627              3.628***      
##                            (0.854)              (0.105)      
##                                                              
## elevation                  0.004**             0.005***      
##                            (0.002)             (0.0003)      
##                                                              
## Longitude                  3.304**             0.627***      
##                            (1.436)              (0.069)      
##                                                              
## Latitude                   -1.994              -0.917***     
##                            (1.698)              (0.117)      
##                                                              
## Constant                                      132.649***     
##                                                 (8.026)      
##                                                              
## -------------------------------------------------------------
## Model Name               FELM Model       Random Effect Model
## Observations              1,006,480            1,006,480     
## R2                          0.112                0.008       
## Adjusted R2                 0.111                0.008       
## Residual Std. Error 13.729 (df = 1006272)                    
## F Statistic                                  3,183.263***    
## =============================================================
## Note:                             *p<0.1; **p<0.05; ***p<0.01
## 
## south Region
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                    0.961***            1.363***      
##                           (0.251)              (0.035)      
##                                                             
## severe                    2.183***            2.938***      
##                           (0.358)              (0.052)      
##                                                             
## elevation                 0.014***            0.014***      
##                           (0.004)              (0.001)      
##                                                             
## Longitude                  -0.014             0.450***      
##                           (0.808)              (0.069)      
##                                                             
## Latitude                  3.482***            0.500***      
##                           (1.272)              (0.070)      
##                                                             
## Constant                                      63.687***     
##                                                (6.890)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              951,486              951,486      
## R2                         0.062                0.015       
## Adjusted R2                0.062                0.015       
## Residual Std. Error 13.963 (df = 951335)                    
## F Statistic                                 4,518.735***    
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## southeast Region
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                    2.831***            3.868***      
##                           (0.194)              (0.034)      
##                                                             
## severe                    3.592***            5.240***      
##                           (0.215)              (0.051)      
##                                                             
## elevation                 0.009***            0.006***      
##                           (0.003)             (0.0004)      
##                                                             
## Longitude                  -0.026              -0.043       
##                           (1.657)              (0.060)      
##                                                             
## Latitude                   -0.398             0.651***      
##                           (2.475)              (0.060)      
##                                                             
## Constant                                      15.664***     
##                                                (6.029)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              982,391              982,391      
## R2                         0.129                0.030       
## Adjusted R2                0.128                0.030       
## Residual Std. Error 12.919 (df = 982203)                    
## F Statistic                                 20,731.880***   
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## southwest Region
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                     0.089              -0.444***     
##                           (0.363)              (0.034)      
##                                                             
## severe                    4.295***            3.715***      
##                           (0.729)              (0.043)      
##                                                             
## elevation                 0.008***            0.008***      
##                           (0.001)             (0.0001)      
##                                                             
## Longitude                  1.148              0.255***      
##                           (1.111)              (0.063)      
##                                                             
## Latitude                   1.668              0.510***      
##                           (1.151)              (0.069)      
##                                                             
## Constant                                      42.653***     
##                                                (7.484)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              683,530              683,530      
## R2                         0.075                0.045       
## Adjusted R2                0.075                0.045       
## Residual Std. Error 12.014 (df = 683441)                    
## F Statistic                                 22,580.700***   
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## upperRegion
## ============================================================
##                          Dependent Variable: Max Ozone      
##                     ----------------------------------------
##                             felm                panel       
##                                                linear       
##                          FELM Model      Random Effect Model
## ------------------------------------------------------------
## modest                   -1.140***             0.149**      
##                           (0.263)              (0.062)      
##                                                             
## severe                   -2.467***              0.283       
##                           (0.843)              (0.207)      
##                                                             
## elevation                  0.001              0.029***      
##                           (0.019)              (0.002)      
##                                                             
## Longitude                 11.215**            1.245***      
##                           (4.279)              (0.080)      
##                                                             
## Latitude                  6.775***            1.309***      
##                           (2.192)              (0.130)      
##                                                             
## Constant                                      87.542***     
##                                                (8.051)      
##                                                             
## ------------------------------------------------------------
## Model Name               FELM Model      Random Effect Model
## Observations              382,355              382,355      
## R2                         0.092                0.006       
## Adjusted R2                0.092                0.006       
## Residual Std. Error 12.449 (df = 382246)                    
## F Statistic                                  646.255***     
## ============================================================
## Note:                            *p<0.1; **p<0.05; ***p<0.01
## 
## west Region
## =============================================================
##                           Dependent Variable: Max Ozone      
##                     -----------------------------------------
##                             felm                 panel       
##                                                 linear       
##                          FELM Model       Random Effect Model
## -------------------------------------------------------------
## modest                     1.171**             1.056***      
##                            (0.501)              (0.031)      
##                                                              
## severe                     1.449**             0.993***      
##                            (0.616)              (0.036)      
##                                                              
## elevation                 0.006***             0.006***      
##                            (0.002)             (0.0001)      
##                                                              
## Longitude                   0.283              0.305***      
##                            (1.346)              (0.044)      
##                                                              
## Latitude                    0.109                0.036       
##                            (2.385)              (0.069)      
##                                                              
## Constant                                       74.249***     
##                                                 (5.543)      
##                                                              
## -------------------------------------------------------------
## Model Name               FELM Model       Random Effect Model
## Observations              1,290,716            1,290,716     
## R2                          0.160                0.013       
## Adjusted R2                 0.160                0.013       
## Residual Std. Error 15.003 (df = 1290634)                    
## F Statistic                                  15,613.030***   
## =============================================================
## Note:                             *p<0.1; **p<0.05; ***p<0.01