The College Scorecord is a website and set of data that allows students and those who support them to access information about U.S. colleges/university and understand it. The developers and analysts who maintain the College Scorecard have their GitHub repository public, and they have extensive information on the data behind the scorecard including detailed documentation.

What Is In the College Scorecard Data?

I have downloaded the data available at the “Download All Data” button on this site; it contains separate CSV files for several years. For starters, let’s just open up the most recent year of data. (There are also CSV files for the years 1996 - 2012; it may be worth using some of that data as well.) Let’s also open up the data dictionary.

library(readr)
colleges <- read_csv("data/merged_2013_PP.csv", na = c("NULL", "PrivacySuppressed"))
dictionary <- read_csv("data/CollegeScorecardDataDictionary-09-08-2015.csv")

What is here? How much of this data frame is NA?

dim(colleges)
## [1] 7804 1729
sapply(colleges, function(x) sum(is.na(x)))
##                           UNITID                            OPEID                           opeid6 
##                                0                                0                                0 
##                           INSTNM                             CITY                           STABBR 
##                                0                                0                                0 
##                              ZIP                     AccredAgency                          INSTURL 
##                                0                              233                               85 
##                           NPCURL                          sch_deg                             HCM2 
##                              591                             7804                                0 
##                             main                        NUMBRANCH                          PREDDEG 
##                                0                                0                                0 
##                          HIGHDEG                          CONTROL                          st_fips 
##                                0                                0                                0 
##                           region                           LOCALE                          locale2 
##                                0                              424                             7804 
##                         LATITUDE                        LONGITUDE                          CCBASIC 
##                              785                              785                             3449 
##                         CCUGPROF                         CCSIZSET                             HBCU 
##                             4245                             4228                              421 
##                              PBI                            ANNHI                           TRIBAL 
##                              421                              421                              421 
##                          AANAPII                              HSI                            NANTI 
##                              421                              421                              421 
##                          MENONLY                        WOMENONLY                         RELAFFIL 
##                              421                              421                             6887 
##                         ADM_RATE                     ADM_RATE_ALL                          SATVR25 
##                             5584                             5320                             6503 
##                          SATVR75                          SATMT25                          SATMT75 
##                             6503                             6489                             6489 
##                          SATWR25                          SATWR75                         SATVRMID 
##                             7011                             7011                             6503 
##                         SATMTMID                         SATWRMID                          ACTCM25 
##                             6489                             7011                             6462 
##                          ACTCM75                          ACTEN25                          ACTEN75 
##                             6462                             6639                             6639 
##                          ACTMT25                          ACTMT75                          ACTWR25 
##                             6638                             6638                             7504 
##                          ACTWR75                         ACTCMMID                         ACTENMID 
##                             7504                             6462                             6639 
##                         ACTMTMID                         ACTWRMID                          SAT_AVG 
##                             6638                             7504                             6384 
##                      SAT_AVG_ALL                           PCIP01                           PCIP03 
##                             6273                              718                              718 
##                           PCIP04                           PCIP05                           PCIP09 
##                              718                              718                              718 
##                           PCIP10                           PCIP11                           PCIP12 
##                              718                              718                              718 
##                           PCIP13                           PCIP14                           PCIP15 
##                              718                              718                              718 
##                           PCIP16                           PCIP19                           PCIP22 
##                              718                              718                              718 
##                           PCIP23                           PCIP24                           PCIP25 
##                              718                              718                              718 
##                           PCIP26                           PCIP27                           PCIP29 
##                              718                              718                              718 
##                           PCIP30                           PCIP31                           PCIP38 
##                              718                              718                              718 
##                           PCIP39                           PCIP40                           PCIP41 
##                              718                              718                              718 
##                           PCIP42                           PCIP43                           PCIP44 
##                              718                              718                              718 
##                           PCIP45                           PCIP46                           PCIP47 
##                              718                              718                              718 
##                           PCIP48                           PCIP49                           PCIP50 
##                              718                              718                              718 
##                           PCIP51                           PCIP52                           PCIP54 
##                              718                              718                              718 
##                       CIP01CERT1                       CIP01CERT2                       CIP01ASSOC 
##                              421                              421                              421 
##                       CIP01CERT4                       CIP01BACHL                       CIP03CERT1 
##                              421                              421                              421 
##                       CIP03CERT2                       CIP03ASSOC                       CIP03CERT4 
##                              421                              421                              421 
##                       CIP03BACHL                       CIP04CERT1                       CIP04CERT2 
##                              421                              421                              421 
##                       CIP04ASSOC                       CIP04CERT4                       CIP04BACHL 
##                              421                              421                              421 
##                       CIP05CERT1                       CIP05CERT2                       CIP05ASSOC 
##                              421                              421                              421 
##                       CIP05CERT4                       CIP05BACHL                       CIP09CERT1 
##                              421                              421                              421 
##                       CIP09CERT2                       CIP09ASSOC                       CIP09CERT4 
##                              421                              421                              421 
##                       CIP09BACHL                       CIP10CERT1                       CIP10CERT2 
##                              421                              421                              421 
##                       CIP10ASSOC                       CIP10CERT4                       CIP10BACHL 
##                              421                              421                              421 
##                       CIP11CERT1                       CIP11CERT2                       CIP11ASSOC 
##                              421                              421                              421 
##                       CIP11CERT4                       CIP11BACHL                       CIP12CERT1 
##                              421                              421                              421 
##                       CIP12CERT2                       CIP12ASSOC                       CIP12CERT4 
##                              421                              421                              421 
##                       CIP12BACHL                       CIP13CERT1                       CIP13CERT2 
##                              421                              421                              421 
##                       CIP13ASSOC                       CIP13CERT4                       CIP13BACHL 
##                              421                              421                              421 
##                       CIP14CERT1                       CIP14CERT2                       CIP14ASSOC 
##                              421                              421                              421 
##                       CIP14CERT4                       CIP14BACHL                       CIP15CERT1 
##                              421                              421                              421 
##                       CIP15CERT2                       CIP15ASSOC                       CIP15CERT4 
##                              421                              421                              421 
##                       CIP15BACHL                       CIP16CERT1                       CIP16CERT2 
##                              421                              421                              421 
##                       CIP16ASSOC                       CIP16CERT4                       CIP16BACHL 
##                              421                              421                              421 
##                       CIP19CERT1                       CIP19CERT2                       CIP19ASSOC 
##                              421                              421                              421 
##                       CIP19CERT4                       CIP19BACHL                       CIP22CERT1 
##                              421                              421                              421 
##                       CIP22CERT2                       CIP22ASSOC                       CIP22CERT4 
##                              421                              421                              421 
##                       CIP22BACHL                       CIP23CERT1                       CIP23CERT2 
##                              421                              421                              421 
##                       CIP23ASSOC                       CIP23CERT4                       CIP23BACHL 
##                              421                              421                              421 
##                       CIP24CERT1                       CIP24CERT2                       CIP24ASSOC 
##                              421                              421                              421 
##                       CIP24CERT4                       CIP24BACHL                       CIP25CERT1 
##                              421                              421                              421 
##                       CIP25CERT2                       CIP25ASSOC                       CIP25CERT4 
##                              421                              421                              421 
##                       CIP25BACHL                       CIP26CERT1                       CIP26CERT2 
##                              421                              421                              421 
##                       CIP26ASSOC                       CIP26CERT4                       CIP26BACHL 
##                              421                              421                              421 
##                       CIP27CERT1                       CIP27CERT2                       CIP27ASSOC 
##                              421                              421                              421 
##                       CIP27CERT4                       CIP27BACHL                       CIP29CERT1 
##                              421                              421                              421 
##                       CIP29CERT2                       CIP29ASSOC                       CIP29CERT4 
##                              421                              421                              421 
##                       CIP29BACHL                       CIP30CERT1                       CIP30CERT2 
##                              421                              421                              421 
##                       CIP30ASSOC                       CIP30CERT4                       CIP30BACHL 
##                              421                              421                              421 
##                       CIP31CERT1                       CIP31CERT2                       CIP31ASSOC 
##                              421                              421                              421 
##                       CIP31CERT4                       CIP31BACHL                       CIP38CERT1 
##                              421                              421                              421 
##                       CIP38CERT2                       CIP38ASSOC                       CIP38CERT4 
##                              421                              421                              421 
##                       CIP38BACHL                       CIP39CERT1                       CIP39CERT2 
##                              421                              421                              421 
##                       CIP39ASSOC                       CIP39CERT4                       CIP39BACHL 
##                              421                              421                              421 
##                       CIP40CERT1                       CIP40CERT2                       CIP40ASSOC 
##                              421                              421                              421 
##                       CIP40CERT4                       CIP40BACHL                       CIP41CERT1 
##                              421                              421                              421 
##                       CIP41CERT2                       CIP41ASSOC                       CIP41CERT4 
##                              421                              421                              421 
##                       CIP41BACHL                       CIP42CERT1                       CIP42CERT2 
##                              421                              421                              421 
##                       CIP42ASSOC                       CIP42CERT4                       CIP42BACHL 
##                              421                              421                              421 
##                       CIP43CERT1                       CIP43CERT2                       CIP43ASSOC 
##                              421                              421                              421 
##                       CIP43CERT4                       CIP43BACHL                       CIP44CERT1 
##                              421                              421                              421 
##                       CIP44CERT2                       CIP44ASSOC                       CIP44CERT4 
##                              421                              421                              421 
##                       CIP44BACHL                       CIP45CERT1                       CIP45CERT2 
##                              421                              421                              421 
##                       CIP45ASSOC                       CIP45CERT4                       CIP45BACHL 
##                              421                              421                              421 
##                       CIP46CERT1                       CIP46CERT2                       CIP46ASSOC 
##                              421                              421                              421 
##                       CIP46CERT4                       CIP46BACHL                       CIP47CERT1 
##                              421                              421                              421 
##                       CIP47CERT2                       CIP47ASSOC                       CIP47CERT4 
##                              421                              421                              421 
##                       CIP47BACHL                       CIP48CERT1                       CIP48CERT2 
##                              421                              421                              421 
##                       CIP48ASSOC                       CIP48CERT4                       CIP48BACHL 
##                              421                              421                              421 
##                       CIP49CERT1                       CIP49CERT2                       CIP49ASSOC 
##                              421                              421                              421 
##                       CIP49CERT4                       CIP49BACHL                       CIP50CERT1 
##                              421                              421                              421 
##                       CIP50CERT2                       CIP50ASSOC                       CIP50CERT4 
##                              421                              421                              421 
##                       CIP50BACHL                       CIP51CERT1                       CIP51CERT2 
##                              421                              421                              421 
##                       CIP51ASSOC                       CIP51CERT4                       CIP51BACHL 
##                              421                              421                              421 
##                       CIP52CERT1                       CIP52CERT2                       CIP52ASSOC 
##                              421                              421                              421 
##                       CIP52CERT4                       CIP52BACHL                       CIP54CERT1 
##                              421                              421                              421 
##                       CIP54CERT2                       CIP54ASSOC                       CIP54CERT4 
##                              421                              421                              421 
##                       CIP54BACHL                     DISTANCEONLY                             UGDS 
##                              421                              421                              714 
##                               UG                       UGDS_WHITE                       UGDS_BLACK 
##                             7804                              714                              714 
##                        UGDS_HISP                       UGDS_ASIAN                        UGDS_AIAN 
##                              714                              714                              714 
##                        UGDS_NHPI                        UGDS_2MOR                         UGDS_NRA 
##                              714                              714                              714 
##                        UGDS_UNKN                     UGDS_WHITENH                     UGDS_BLACKNH 
##                              714                             7804                             7804 
##                         UGDS_API                     UGDS_AIANOld                     UGDS_HISPOld 
##                             7804                             7804                             7804 
##                           UG_NRA                          UG_UNKN                       UG_WHITENH 
##                             7804                             7804                             7804 
##                       UG_BLACKNH                           UG_API                       UG_AIANOld 
##                             7804                             7804                             7804 
##                       UG_HISPOld                         PPTUG_EF                        PPTUG_EF2 
##                             7804                              732                             7804 
##                         CURROPER                         NPT4_PUB                        NPT4_PRIV 
##                                0                             5881                             3051 
##                        NPT4_PROG                       NPT4_OTHER                        NPT41_PUB 
##                             7804                             7804                             5886 
##                        NPT42_PUB                        NPT43_PUB                        NPT44_PUB 
##                             6062                             6135                             6353 
##                        NPT45_PUB                       NPT41_PRIV                       NPT42_PRIV 
##                             6541                             3107                             3853 
##                       NPT43_PRIV                       NPT44_PRIV                       NPT45_PRIV 
##                             4276                             4981                             5583 
##                       NPT41_PROG                       NPT42_PROG                       NPT43_PROG 
##                             7804                             7804                             7804 
##                       NPT44_PROG                       NPT45_PROG                      NPT41_OTHER 
##                             7804                             7804                             7804 
##                      NPT42_OTHER                      NPT43_OTHER                      NPT44_OTHER 
##                             7804                             7804                             7804 
##                      NPT45_OTHER                     NPT4_048_PUB                    NPT4_048_PRIV 
##                             7804                             5882                             3075 
##                    NPT4_048_PROG                   NPT4_048_OTHER                    NPT4_3075_PUB 
##                             7804                             7804                             6037 
##                   NPT4_3075_PRIV                    NPT4_75UP_PUB                   NPT4_75UP_PRIV 
##                             3718                             6337                             4826 
##                   NPT4_3075_PROG                  NPT4_3075_OTHER                   NPT4_75UP_PROG 
##                             7804                             7804                             7804 
##                  NPT4_75UP_OTHER                         NUM4_PUB                        NUM4_PRIV 
##                             7804                             5880                             3019 
##                        NUM4_PROG                       NUM4_OTHER                        NUM41_PUB 
##                             7804                             7804                             5880 
##                        NUM42_PUB                        NUM43_PUB                        NUM44_PUB 
##                             5880                             5880                             5880 
##                        NUM45_PUB                       NUM41_PRIV                       NUM42_PRIV 
##                             5880                             3052                             3052 
##                       NUM43_PRIV                       NUM44_PRIV                       NUM45_PRIV 
##                             3052                             3052                             3052 
##                       NUM41_PROG                       NUM42_PROG                       NUM43_PROG 
##                             7804                             7804                             7804 
##                       NUM44_PROG                       NUM45_PROG                      NUM41_OTHER 
##                             7804                             7804                             7804 
##                      NUM42_OTHER                      NUM43_OTHER                      NUM44_OTHER 
##                             7804                             7804                             7804 
##                      NUM45_OTHER                         COSTT4_A                         COSTT4_P 
##                             7804                             3667                             5263 
##                    TUITIONFEE_IN                   TUITIONFEE_OUT                  TUITIONFEE_PROG 
##                             3389                             3608                             5092 
##                          TUITFTE                         INEXPFTE                        AVGFACSAL 
##                              442                              442                             3150 
##                           PFTFAC                          PCTPELL                           C150_4 
##                             3677                              741                             5356 
##                          C150_L4                    C150_4_POOLED                   C150_L4_POOLED 
##                             3839                             5332                             3786 
##                          poolyrs                      PFTFTUG1_EF                           D150_4 
##                             1314                             4118                             5356 
##                          D150_L4                    D150_4_POOLED                   D150_L4_POOLED 
##                             3839                             5332                             3786 
##                     C150_4_WHITE                     C150_4_BLACK                      C150_4_HISP 
##                             5463                             5633                             5631 
##                     C150_4_ASIAN                      C150_4_AIAN                      C150_4_NHPI 
##                             5924                             6269                             7412 
##                      C150_4_2MOR                       C150_4_NRA                      C150_4_UNKN 
##                             7043                             6315                             6054 
##                   C150_4_WHITENH                   C150_4_BLACKNH                       C150_4_API 
##                             7804                             7804                             7804 
##                   C150_4_AIANOld                   C150_4_HISPOld                    C150_L4_WHITE 
##                             7804                             7804                             5731 
##                    C150_L4_BLACK                     C150_L4_HISP                    C150_L4_ASIAN 
##                             5910                             5948                             6338 
##                     C150_L4_AIAN                     C150_L4_NHPI                     C150_L4_2MOR 
##                             6479                             7054                             6534 
##                      C150_L4_NRA                     C150_L4_UNKN                  C150_L4_WHITENH 
##                             7189                             6410                             7804 
##                  C150_L4_BLACKNH                      C150_L4_API                  C150_L4_AIANOld 
##                             7804                             7804                             7804 
##                  C150_L4_HISPOld                           C200_4                          C200_L4 
##                             7804                             5674                             4143 
##                           D200_4                          D200_L4                          RET_FT4 
##                             5674                             4143                             5456 
##                         RET_FTL4                          RET_PT4                         RET_PTL4 
##                             3884                             6336                             5540 
##                    C200_4_POOLED                   C200_L4_POOLED                       poolyrs200 
##                             5644                             4010                             1850 
##                    D200_4_POOLED                   D200_L4_POOLED                         PCTFLOAN 
##                             5644                             4010                              741 
##                          UG25abv                             CDR2                             CDR3 
##                              773                             7804                               62 
##                     DEATH_YR2_RT                 COMP_ORIG_YR2_RT            COMP_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            COMP_2YR_TRANS_YR2_RT                WDRAW_ORIG_YR2_RT           WDRAW_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##           WDRAW_2YR_TRANS_YR2_RT                 ENRL_ORIG_YR2_RT            ENRL_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            ENRL_2YR_TRANS_YR2_RT                 UNKN_ORIG_YR2_RT            UNKN_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            UNKN_2YR_TRANS_YR2_RT              LO_INC_DEATH_YR2_RT          LO_INC_COMP_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##     LO_INC_COMP_4YR_TRANS_YR2_RT     LO_INC_COMP_2YR_TRANS_YR2_RT         LO_INC_WDRAW_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##    LO_INC_WDRAW_4YR_TRANS_YR2_RT    LO_INC_WDRAW_2YR_TRANS_YR2_RT          LO_INC_ENRL_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##     LO_INC_ENRL_4YR_TRANS_YR2_RT     LO_INC_ENRL_2YR_TRANS_YR2_RT          LO_INC_UNKN_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##     LO_INC_UNKN_4YR_TRANS_YR2_RT     LO_INC_UNKN_2YR_TRANS_YR2_RT              MD_INC_DEATH_YR2_RT 
##                             7804                             7804                             7804 
##          MD_INC_COMP_ORIG_YR2_RT     MD_INC_COMP_4YR_TRANS_YR2_RT     MD_INC_COMP_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##         MD_INC_WDRAW_ORIG_YR2_RT    MD_INC_WDRAW_4YR_TRANS_YR2_RT    MD_INC_WDRAW_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##          MD_INC_ENRL_ORIG_YR2_RT     MD_INC_ENRL_4YR_TRANS_YR2_RT     MD_INC_ENRL_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##          MD_INC_UNKN_ORIG_YR2_RT     MD_INC_UNKN_4YR_TRANS_YR2_RT     MD_INC_UNKN_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##              HI_INC_DEATH_YR2_RT          HI_INC_COMP_ORIG_YR2_RT     HI_INC_COMP_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     HI_INC_COMP_2YR_TRANS_YR2_RT         HI_INC_WDRAW_ORIG_YR2_RT    HI_INC_WDRAW_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##    HI_INC_WDRAW_2YR_TRANS_YR2_RT          HI_INC_ENRL_ORIG_YR2_RT     HI_INC_ENRL_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     HI_INC_ENRL_2YR_TRANS_YR2_RT          HI_INC_UNKN_ORIG_YR2_RT     HI_INC_UNKN_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     HI_INC_UNKN_2YR_TRANS_YR2_RT                 DEP_DEATH_YR2_RT             DEP_COMP_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##        DEP_COMP_4YR_TRANS_YR2_RT        DEP_COMP_2YR_TRANS_YR2_RT            DEP_WDRAW_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       DEP_WDRAW_4YR_TRANS_YR2_RT       DEP_WDRAW_2YR_TRANS_YR2_RT             DEP_ENRL_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##        DEP_ENRL_4YR_TRANS_YR2_RT        DEP_ENRL_2YR_TRANS_YR2_RT             DEP_UNKN_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##        DEP_UNKN_4YR_TRANS_YR2_RT        DEP_UNKN_2YR_TRANS_YR2_RT                 IND_DEATH_YR2_RT 
##                             7804                             7804                             7804 
##             IND_COMP_ORIG_YR2_RT        IND_COMP_4YR_TRANS_YR2_RT        IND_COMP_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            IND_WDRAW_ORIG_YR2_RT       IND_WDRAW_4YR_TRANS_YR2_RT       IND_WDRAW_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##             IND_ENRL_ORIG_YR2_RT        IND_ENRL_4YR_TRANS_YR2_RT        IND_ENRL_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##             IND_UNKN_ORIG_YR2_RT        IND_UNKN_4YR_TRANS_YR2_RT        IND_UNKN_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##              FEMALE_DEATH_YR2_RT          FEMALE_COMP_ORIG_YR2_RT     FEMALE_COMP_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     FEMALE_COMP_2YR_TRANS_YR2_RT         FEMALE_WDRAW_ORIG_YR2_RT    FEMALE_WDRAW_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##    FEMALE_WDRAW_2YR_TRANS_YR2_RT          FEMALE_ENRL_ORIG_YR2_RT     FEMALE_ENRL_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     FEMALE_ENRL_2YR_TRANS_YR2_RT          FEMALE_UNKN_ORIG_YR2_RT     FEMALE_UNKN_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     FEMALE_UNKN_2YR_TRANS_YR2_RT                MALE_DEATH_YR2_RT            MALE_COMP_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       MALE_COMP_4YR_TRANS_YR2_RT       MALE_COMP_2YR_TRANS_YR2_RT           MALE_WDRAW_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##      MALE_WDRAW_4YR_TRANS_YR2_RT      MALE_WDRAW_2YR_TRANS_YR2_RT            MALE_ENRL_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       MALE_ENRL_4YR_TRANS_YR2_RT       MALE_ENRL_2YR_TRANS_YR2_RT            MALE_UNKN_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       MALE_UNKN_4YR_TRANS_YR2_RT       MALE_UNKN_2YR_TRANS_YR2_RT                PELL_DEATH_YR2_RT 
##                             7804                             7804                             7804 
##            PELL_COMP_ORIG_YR2_RT       PELL_COMP_4YR_TRANS_YR2_RT       PELL_COMP_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##           PELL_WDRAW_ORIG_YR2_RT      PELL_WDRAW_4YR_TRANS_YR2_RT      PELL_WDRAW_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            PELL_ENRL_ORIG_YR2_RT       PELL_ENRL_4YR_TRANS_YR2_RT       PELL_ENRL_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            PELL_UNKN_ORIG_YR2_RT       PELL_UNKN_4YR_TRANS_YR2_RT       PELL_UNKN_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##              NOPELL_DEATH_YR2_RT          NOPELL_COMP_ORIG_YR2_RT     NOPELL_COMP_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     NOPELL_COMP_2YR_TRANS_YR2_RT         NOPELL_WDRAW_ORIG_YR2_RT    NOPELL_WDRAW_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##    NOPELL_WDRAW_2YR_TRANS_YR2_RT          NOPELL_ENRL_ORIG_YR2_RT     NOPELL_ENRL_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     NOPELL_ENRL_2YR_TRANS_YR2_RT          NOPELL_UNKN_ORIG_YR2_RT     NOPELL_UNKN_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##     NOPELL_UNKN_2YR_TRANS_YR2_RT                LOAN_DEATH_YR2_RT            LOAN_COMP_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       LOAN_COMP_4YR_TRANS_YR2_RT       LOAN_COMP_2YR_TRANS_YR2_RT           LOAN_WDRAW_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##      LOAN_WDRAW_4YR_TRANS_YR2_RT      LOAN_WDRAW_2YR_TRANS_YR2_RT            LOAN_ENRL_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       LOAN_ENRL_4YR_TRANS_YR2_RT       LOAN_ENRL_2YR_TRANS_YR2_RT            LOAN_UNKN_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##       LOAN_UNKN_4YR_TRANS_YR2_RT       LOAN_UNKN_2YR_TRANS_YR2_RT              NOLOAN_DEATH_YR2_RT 
##                             7804                             7804                             7804 
##          NOLOAN_COMP_ORIG_YR2_RT     NOLOAN_COMP_4YR_TRANS_YR2_RT     NOLOAN_COMP_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##         NOLOAN_WDRAW_ORIG_YR2_RT    NOLOAN_WDRAW_4YR_TRANS_YR2_RT    NOLOAN_WDRAW_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##          NOLOAN_ENRL_ORIG_YR2_RT     NOLOAN_ENRL_4YR_TRANS_YR2_RT     NOLOAN_ENRL_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##          NOLOAN_UNKN_ORIG_YR2_RT     NOLOAN_UNKN_4YR_TRANS_YR2_RT     NOLOAN_UNKN_2YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##            FIRSTGEN_DEATH_YR2_RT        FIRSTGEN_COMP_ORIG_YR2_RT   FIRSTGEN_COMP_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_COMP_2YR_TRANS_YR2_RT       FIRSTGEN_WDRAW_ORIG_YR2_RT  FIRSTGEN_WDRAW_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##  FIRSTGEN_WDRAW_2YR_TRANS_YR2_RT        FIRSTGEN_ENRL_ORIG_YR2_RT   FIRSTGEN_ENRL_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_ENRL_2YR_TRANS_YR2_RT        FIRSTGEN_UNKN_ORIG_YR2_RT   FIRSTGEN_UNKN_4YR_TRANS_YR2_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_UNKN_2YR_TRANS_YR2_RT           NOT1STGEN_DEATH_YR2_RT       NOT1STGEN_COMP_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_COMP_4YR_TRANS_YR2_RT  NOT1STGEN_COMP_2YR_TRANS_YR2_RT      NOT1STGEN_WDRAW_ORIG_YR2_RT 
##                             7804                             7804                             7804 
## NOT1STGEN_WDRAW_4YR_TRANS_YR2_RT NOT1STGEN_WDRAW_2YR_TRANS_YR2_RT       NOT1STGEN_ENRL_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_ENRL_4YR_TRANS_YR2_RT  NOT1STGEN_ENRL_2YR_TRANS_YR2_RT       NOT1STGEN_UNKN_ORIG_YR2_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_UNKN_4YR_TRANS_YR2_RT  NOT1STGEN_UNKN_2YR_TRANS_YR2_RT                     DEATH_YR3_RT 
##                             7804                             7804                             7804 
##                 COMP_ORIG_YR3_RT            COMP_4YR_TRANS_YR3_RT            COMP_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                WDRAW_ORIG_YR3_RT           WDRAW_4YR_TRANS_YR3_RT           WDRAW_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                 ENRL_ORIG_YR3_RT            ENRL_4YR_TRANS_YR3_RT            ENRL_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                 UNKN_ORIG_YR3_RT            UNKN_4YR_TRANS_YR3_RT            UNKN_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##              LO_INC_DEATH_YR3_RT          LO_INC_COMP_ORIG_YR3_RT     LO_INC_COMP_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##     LO_INC_COMP_2YR_TRANS_YR3_RT         LO_INC_WDRAW_ORIG_YR3_RT    LO_INC_WDRAW_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##    LO_INC_WDRAW_2YR_TRANS_YR3_RT          LO_INC_ENRL_ORIG_YR3_RT     LO_INC_ENRL_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##     LO_INC_ENRL_2YR_TRANS_YR3_RT          LO_INC_UNKN_ORIG_YR3_RT     LO_INC_UNKN_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##     LO_INC_UNKN_2YR_TRANS_YR3_RT              MD_INC_DEATH_YR3_RT          MD_INC_COMP_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     MD_INC_COMP_4YR_TRANS_YR3_RT     MD_INC_COMP_2YR_TRANS_YR3_RT         MD_INC_WDRAW_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##    MD_INC_WDRAW_4YR_TRANS_YR3_RT    MD_INC_WDRAW_2YR_TRANS_YR3_RT          MD_INC_ENRL_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     MD_INC_ENRL_4YR_TRANS_YR3_RT     MD_INC_ENRL_2YR_TRANS_YR3_RT          MD_INC_UNKN_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     MD_INC_UNKN_4YR_TRANS_YR3_RT     MD_INC_UNKN_2YR_TRANS_YR3_RT              HI_INC_DEATH_YR3_RT 
##                             7804                             7804                             7804 
##          HI_INC_COMP_ORIG_YR3_RT     HI_INC_COMP_4YR_TRANS_YR3_RT     HI_INC_COMP_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##         HI_INC_WDRAW_ORIG_YR3_RT    HI_INC_WDRAW_4YR_TRANS_YR3_RT    HI_INC_WDRAW_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          HI_INC_ENRL_ORIG_YR3_RT     HI_INC_ENRL_4YR_TRANS_YR3_RT     HI_INC_ENRL_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          HI_INC_UNKN_ORIG_YR3_RT     HI_INC_UNKN_4YR_TRANS_YR3_RT     HI_INC_UNKN_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                 DEP_DEATH_YR3_RT             DEP_COMP_ORIG_YR3_RT        DEP_COMP_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##        DEP_COMP_2YR_TRANS_YR3_RT            DEP_WDRAW_ORIG_YR3_RT       DEP_WDRAW_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       DEP_WDRAW_2YR_TRANS_YR3_RT             DEP_ENRL_ORIG_YR3_RT        DEP_ENRL_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##        DEP_ENRL_2YR_TRANS_YR3_RT             DEP_UNKN_ORIG_YR3_RT        DEP_UNKN_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##        DEP_UNKN_2YR_TRANS_YR3_RT                 IND_DEATH_YR3_RT             IND_COMP_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##        IND_COMP_4YR_TRANS_YR3_RT        IND_COMP_2YR_TRANS_YR3_RT            IND_WDRAW_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##       IND_WDRAW_4YR_TRANS_YR3_RT       IND_WDRAW_2YR_TRANS_YR3_RT             IND_ENRL_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##        IND_ENRL_4YR_TRANS_YR3_RT        IND_ENRL_2YR_TRANS_YR3_RT             IND_UNKN_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##        IND_UNKN_4YR_TRANS_YR3_RT        IND_UNKN_2YR_TRANS_YR3_RT              FEMALE_DEATH_YR3_RT 
##                             7804                             7804                             7804 
##          FEMALE_COMP_ORIG_YR3_RT     FEMALE_COMP_4YR_TRANS_YR3_RT     FEMALE_COMP_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##         FEMALE_WDRAW_ORIG_YR3_RT    FEMALE_WDRAW_4YR_TRANS_YR3_RT    FEMALE_WDRAW_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          FEMALE_ENRL_ORIG_YR3_RT     FEMALE_ENRL_4YR_TRANS_YR3_RT     FEMALE_ENRL_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          FEMALE_UNKN_ORIG_YR3_RT     FEMALE_UNKN_4YR_TRANS_YR3_RT     FEMALE_UNKN_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                MALE_DEATH_YR3_RT            MALE_COMP_ORIG_YR3_RT       MALE_COMP_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       MALE_COMP_2YR_TRANS_YR3_RT           MALE_WDRAW_ORIG_YR3_RT      MALE_WDRAW_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##      MALE_WDRAW_2YR_TRANS_YR3_RT            MALE_ENRL_ORIG_YR3_RT       MALE_ENRL_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       MALE_ENRL_2YR_TRANS_YR3_RT            MALE_UNKN_ORIG_YR3_RT       MALE_UNKN_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       MALE_UNKN_2YR_TRANS_YR3_RT                PELL_DEATH_YR3_RT            PELL_COMP_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##       PELL_COMP_4YR_TRANS_YR3_RT       PELL_COMP_2YR_TRANS_YR3_RT           PELL_WDRAW_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##      PELL_WDRAW_4YR_TRANS_YR3_RT      PELL_WDRAW_2YR_TRANS_YR3_RT            PELL_ENRL_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##       PELL_ENRL_4YR_TRANS_YR3_RT       PELL_ENRL_2YR_TRANS_YR3_RT            PELL_UNKN_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##       PELL_UNKN_4YR_TRANS_YR3_RT       PELL_UNKN_2YR_TRANS_YR3_RT              NOPELL_DEATH_YR3_RT 
##                             7804                             7804                             7804 
##          NOPELL_COMP_ORIG_YR3_RT     NOPELL_COMP_4YR_TRANS_YR3_RT     NOPELL_COMP_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##         NOPELL_WDRAW_ORIG_YR3_RT    NOPELL_WDRAW_4YR_TRANS_YR3_RT    NOPELL_WDRAW_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          NOPELL_ENRL_ORIG_YR3_RT     NOPELL_ENRL_4YR_TRANS_YR3_RT     NOPELL_ENRL_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##          NOPELL_UNKN_ORIG_YR3_RT     NOPELL_UNKN_4YR_TRANS_YR3_RT     NOPELL_UNKN_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##                LOAN_DEATH_YR3_RT            LOAN_COMP_ORIG_YR3_RT       LOAN_COMP_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       LOAN_COMP_2YR_TRANS_YR3_RT           LOAN_WDRAW_ORIG_YR3_RT      LOAN_WDRAW_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##      LOAN_WDRAW_2YR_TRANS_YR3_RT            LOAN_ENRL_ORIG_YR3_RT       LOAN_ENRL_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       LOAN_ENRL_2YR_TRANS_YR3_RT            LOAN_UNKN_ORIG_YR3_RT       LOAN_UNKN_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       LOAN_UNKN_2YR_TRANS_YR3_RT              NOLOAN_DEATH_YR3_RT          NOLOAN_COMP_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     NOLOAN_COMP_4YR_TRANS_YR3_RT     NOLOAN_COMP_2YR_TRANS_YR3_RT         NOLOAN_WDRAW_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##    NOLOAN_WDRAW_4YR_TRANS_YR3_RT    NOLOAN_WDRAW_2YR_TRANS_YR3_RT          NOLOAN_ENRL_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     NOLOAN_ENRL_4YR_TRANS_YR3_RT     NOLOAN_ENRL_2YR_TRANS_YR3_RT          NOLOAN_UNKN_ORIG_YR3_RT 
##                             7804                             7804                             7804 
##     NOLOAN_UNKN_4YR_TRANS_YR3_RT     NOLOAN_UNKN_2YR_TRANS_YR3_RT            FIRSTGEN_DEATH_YR3_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_COMP_ORIG_YR3_RT   FIRSTGEN_COMP_4YR_TRANS_YR3_RT   FIRSTGEN_COMP_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##       FIRSTGEN_WDRAW_ORIG_YR3_RT  FIRSTGEN_WDRAW_4YR_TRANS_YR3_RT  FIRSTGEN_WDRAW_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_ENRL_ORIG_YR3_RT   FIRSTGEN_ENRL_4YR_TRANS_YR3_RT   FIRSTGEN_ENRL_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_UNKN_ORIG_YR3_RT   FIRSTGEN_UNKN_4YR_TRANS_YR3_RT   FIRSTGEN_UNKN_2YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##           NOT1STGEN_DEATH_YR3_RT       NOT1STGEN_COMP_ORIG_YR3_RT  NOT1STGEN_COMP_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_COMP_2YR_TRANS_YR3_RT      NOT1STGEN_WDRAW_ORIG_YR3_RT NOT1STGEN_WDRAW_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
## NOT1STGEN_WDRAW_2YR_TRANS_YR3_RT       NOT1STGEN_ENRL_ORIG_YR3_RT  NOT1STGEN_ENRL_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_ENRL_2YR_TRANS_YR3_RT       NOT1STGEN_UNKN_ORIG_YR3_RT  NOT1STGEN_UNKN_4YR_TRANS_YR3_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_UNKN_2YR_TRANS_YR3_RT                     DEATH_YR4_RT                 COMP_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##            COMP_4YR_TRANS_YR4_RT            COMP_2YR_TRANS_YR4_RT                WDRAW_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##           WDRAW_4YR_TRANS_YR4_RT           WDRAW_2YR_TRANS_YR4_RT                 ENRL_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##            ENRL_4YR_TRANS_YR4_RT            ENRL_2YR_TRANS_YR4_RT                 UNKN_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##            UNKN_4YR_TRANS_YR4_RT            UNKN_2YR_TRANS_YR4_RT              LO_INC_DEATH_YR4_RT 
##                             7804                             7804                             7804 
##          LO_INC_COMP_ORIG_YR4_RT     LO_INC_COMP_4YR_TRANS_YR4_RT     LO_INC_COMP_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##         LO_INC_WDRAW_ORIG_YR4_RT    LO_INC_WDRAW_4YR_TRANS_YR4_RT    LO_INC_WDRAW_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##          LO_INC_ENRL_ORIG_YR4_RT     LO_INC_ENRL_4YR_TRANS_YR4_RT     LO_INC_ENRL_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##          LO_INC_UNKN_ORIG_YR4_RT     LO_INC_UNKN_4YR_TRANS_YR4_RT     LO_INC_UNKN_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##              MD_INC_DEATH_YR4_RT          MD_INC_COMP_ORIG_YR4_RT     MD_INC_COMP_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     MD_INC_COMP_2YR_TRANS_YR4_RT         MD_INC_WDRAW_ORIG_YR4_RT    MD_INC_WDRAW_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##    MD_INC_WDRAW_2YR_TRANS_YR4_RT          MD_INC_ENRL_ORIG_YR4_RT     MD_INC_ENRL_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     MD_INC_ENRL_2YR_TRANS_YR4_RT          MD_INC_UNKN_ORIG_YR4_RT     MD_INC_UNKN_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     MD_INC_UNKN_2YR_TRANS_YR4_RT              HI_INC_DEATH_YR4_RT          HI_INC_COMP_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     HI_INC_COMP_4YR_TRANS_YR4_RT     HI_INC_COMP_2YR_TRANS_YR4_RT         HI_INC_WDRAW_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##    HI_INC_WDRAW_4YR_TRANS_YR4_RT    HI_INC_WDRAW_2YR_TRANS_YR4_RT          HI_INC_ENRL_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     HI_INC_ENRL_4YR_TRANS_YR4_RT     HI_INC_ENRL_2YR_TRANS_YR4_RT          HI_INC_UNKN_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     HI_INC_UNKN_4YR_TRANS_YR4_RT     HI_INC_UNKN_2YR_TRANS_YR4_RT                 DEP_DEATH_YR4_RT 
##                             7804                             7804                             7804 
##             DEP_COMP_ORIG_YR4_RT        DEP_COMP_4YR_TRANS_YR4_RT        DEP_COMP_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##            DEP_WDRAW_ORIG_YR4_RT       DEP_WDRAW_4YR_TRANS_YR4_RT       DEP_WDRAW_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##             DEP_ENRL_ORIG_YR4_RT        DEP_ENRL_4YR_TRANS_YR4_RT        DEP_ENRL_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##             DEP_UNKN_ORIG_YR4_RT        DEP_UNKN_4YR_TRANS_YR4_RT        DEP_UNKN_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##                 IND_DEATH_YR4_RT             IND_COMP_ORIG_YR4_RT        IND_COMP_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##        IND_COMP_2YR_TRANS_YR4_RT            IND_WDRAW_ORIG_YR4_RT       IND_WDRAW_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       IND_WDRAW_2YR_TRANS_YR4_RT             IND_ENRL_ORIG_YR4_RT        IND_ENRL_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##        IND_ENRL_2YR_TRANS_YR4_RT             IND_UNKN_ORIG_YR4_RT        IND_UNKN_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##        IND_UNKN_2YR_TRANS_YR4_RT              FEMALE_DEATH_YR4_RT          FEMALE_COMP_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     FEMALE_COMP_4YR_TRANS_YR4_RT     FEMALE_COMP_2YR_TRANS_YR4_RT         FEMALE_WDRAW_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##    FEMALE_WDRAW_4YR_TRANS_YR4_RT    FEMALE_WDRAW_2YR_TRANS_YR4_RT          FEMALE_ENRL_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     FEMALE_ENRL_4YR_TRANS_YR4_RT     FEMALE_ENRL_2YR_TRANS_YR4_RT          FEMALE_UNKN_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     FEMALE_UNKN_4YR_TRANS_YR4_RT     FEMALE_UNKN_2YR_TRANS_YR4_RT                MALE_DEATH_YR4_RT 
##                             7804                             7804                             7804 
##            MALE_COMP_ORIG_YR4_RT       MALE_COMP_4YR_TRANS_YR4_RT       MALE_COMP_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##           MALE_WDRAW_ORIG_YR4_RT      MALE_WDRAW_4YR_TRANS_YR4_RT      MALE_WDRAW_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##            MALE_ENRL_ORIG_YR4_RT       MALE_ENRL_4YR_TRANS_YR4_RT       MALE_ENRL_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##            MALE_UNKN_ORIG_YR4_RT       MALE_UNKN_4YR_TRANS_YR4_RT       MALE_UNKN_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##                PELL_DEATH_YR4_RT            PELL_COMP_ORIG_YR4_RT       PELL_COMP_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       PELL_COMP_2YR_TRANS_YR4_RT           PELL_WDRAW_ORIG_YR4_RT      PELL_WDRAW_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##      PELL_WDRAW_2YR_TRANS_YR4_RT            PELL_ENRL_ORIG_YR4_RT       PELL_ENRL_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       PELL_ENRL_2YR_TRANS_YR4_RT            PELL_UNKN_ORIG_YR4_RT       PELL_UNKN_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       PELL_UNKN_2YR_TRANS_YR4_RT              NOPELL_DEATH_YR4_RT          NOPELL_COMP_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     NOPELL_COMP_4YR_TRANS_YR4_RT     NOPELL_COMP_2YR_TRANS_YR4_RT         NOPELL_WDRAW_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##    NOPELL_WDRAW_4YR_TRANS_YR4_RT    NOPELL_WDRAW_2YR_TRANS_YR4_RT          NOPELL_ENRL_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     NOPELL_ENRL_4YR_TRANS_YR4_RT     NOPELL_ENRL_2YR_TRANS_YR4_RT          NOPELL_UNKN_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##     NOPELL_UNKN_4YR_TRANS_YR4_RT     NOPELL_UNKN_2YR_TRANS_YR4_RT                LOAN_DEATH_YR4_RT 
##                             7804                             7804                             7804 
##            LOAN_COMP_ORIG_YR4_RT       LOAN_COMP_4YR_TRANS_YR4_RT       LOAN_COMP_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##           LOAN_WDRAW_ORIG_YR4_RT      LOAN_WDRAW_4YR_TRANS_YR4_RT      LOAN_WDRAW_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##            LOAN_ENRL_ORIG_YR4_RT       LOAN_ENRL_4YR_TRANS_YR4_RT       LOAN_ENRL_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##            LOAN_UNKN_ORIG_YR4_RT       LOAN_UNKN_4YR_TRANS_YR4_RT       LOAN_UNKN_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##              NOLOAN_DEATH_YR4_RT          NOLOAN_COMP_ORIG_YR4_RT     NOLOAN_COMP_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     NOLOAN_COMP_2YR_TRANS_YR4_RT         NOLOAN_WDRAW_ORIG_YR4_RT    NOLOAN_WDRAW_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##    NOLOAN_WDRAW_2YR_TRANS_YR4_RT          NOLOAN_ENRL_ORIG_YR4_RT     NOLOAN_ENRL_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     NOLOAN_ENRL_2YR_TRANS_YR4_RT          NOLOAN_UNKN_ORIG_YR4_RT     NOLOAN_UNKN_4YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##     NOLOAN_UNKN_2YR_TRANS_YR4_RT            FIRSTGEN_DEATH_YR4_RT        FIRSTGEN_COMP_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_COMP_4YR_TRANS_YR4_RT   FIRSTGEN_COMP_2YR_TRANS_YR4_RT       FIRSTGEN_WDRAW_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##  FIRSTGEN_WDRAW_4YR_TRANS_YR4_RT  FIRSTGEN_WDRAW_2YR_TRANS_YR4_RT        FIRSTGEN_ENRL_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_ENRL_4YR_TRANS_YR4_RT   FIRSTGEN_ENRL_2YR_TRANS_YR4_RT        FIRSTGEN_UNKN_ORIG_YR4_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_UNKN_4YR_TRANS_YR4_RT   FIRSTGEN_UNKN_2YR_TRANS_YR4_RT           NOT1STGEN_DEATH_YR4_RT 
##                             7804                             7804                             7804 
##       NOT1STGEN_COMP_ORIG_YR4_RT  NOT1STGEN_COMP_4YR_TRANS_YR4_RT  NOT1STGEN_COMP_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##      NOT1STGEN_WDRAW_ORIG_YR4_RT NOT1STGEN_WDRAW_4YR_TRANS_YR4_RT NOT1STGEN_WDRAW_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       NOT1STGEN_ENRL_ORIG_YR4_RT  NOT1STGEN_ENRL_4YR_TRANS_YR4_RT  NOT1STGEN_ENRL_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##       NOT1STGEN_UNKN_ORIG_YR4_RT  NOT1STGEN_UNKN_4YR_TRANS_YR4_RT  NOT1STGEN_UNKN_2YR_TRANS_YR4_RT 
##                             7804                             7804                             7804 
##                     DEATH_YR6_RT                 COMP_ORIG_YR6_RT            COMP_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            COMP_2YR_TRANS_YR6_RT                WDRAW_ORIG_YR6_RT           WDRAW_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##           WDRAW_2YR_TRANS_YR6_RT                 ENRL_ORIG_YR6_RT            ENRL_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            ENRL_2YR_TRANS_YR6_RT                 UNKN_ORIG_YR6_RT            UNKN_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            UNKN_2YR_TRANS_YR6_RT              LO_INC_DEATH_YR6_RT          LO_INC_COMP_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##     LO_INC_COMP_4YR_TRANS_YR6_RT     LO_INC_COMP_2YR_TRANS_YR6_RT         LO_INC_WDRAW_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##    LO_INC_WDRAW_4YR_TRANS_YR6_RT    LO_INC_WDRAW_2YR_TRANS_YR6_RT          LO_INC_ENRL_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##     LO_INC_ENRL_4YR_TRANS_YR6_RT     LO_INC_ENRL_2YR_TRANS_YR6_RT          LO_INC_UNKN_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##     LO_INC_UNKN_4YR_TRANS_YR6_RT     LO_INC_UNKN_2YR_TRANS_YR6_RT              MD_INC_DEATH_YR6_RT 
##                             7804                             7804                             7804 
##          MD_INC_COMP_ORIG_YR6_RT     MD_INC_COMP_4YR_TRANS_YR6_RT     MD_INC_COMP_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##         MD_INC_WDRAW_ORIG_YR6_RT    MD_INC_WDRAW_4YR_TRANS_YR6_RT    MD_INC_WDRAW_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##          MD_INC_ENRL_ORIG_YR6_RT     MD_INC_ENRL_4YR_TRANS_YR6_RT     MD_INC_ENRL_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##          MD_INC_UNKN_ORIG_YR6_RT     MD_INC_UNKN_4YR_TRANS_YR6_RT     MD_INC_UNKN_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##              HI_INC_DEATH_YR6_RT          HI_INC_COMP_ORIG_YR6_RT     HI_INC_COMP_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     HI_INC_COMP_2YR_TRANS_YR6_RT         HI_INC_WDRAW_ORIG_YR6_RT    HI_INC_WDRAW_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##    HI_INC_WDRAW_2YR_TRANS_YR6_RT          HI_INC_ENRL_ORIG_YR6_RT     HI_INC_ENRL_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     HI_INC_ENRL_2YR_TRANS_YR6_RT          HI_INC_UNKN_ORIG_YR6_RT     HI_INC_UNKN_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     HI_INC_UNKN_2YR_TRANS_YR6_RT                 DEP_DEATH_YR6_RT             DEP_COMP_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##        DEP_COMP_4YR_TRANS_YR6_RT        DEP_COMP_2YR_TRANS_YR6_RT            DEP_WDRAW_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       DEP_WDRAW_4YR_TRANS_YR6_RT       DEP_WDRAW_2YR_TRANS_YR6_RT             DEP_ENRL_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##        DEP_ENRL_4YR_TRANS_YR6_RT        DEP_ENRL_2YR_TRANS_YR6_RT             DEP_UNKN_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##        DEP_UNKN_4YR_TRANS_YR6_RT        DEP_UNKN_2YR_TRANS_YR6_RT                 IND_DEATH_YR6_RT 
##                             7804                             7804                             7804 
##             IND_COMP_ORIG_YR6_RT        IND_COMP_4YR_TRANS_YR6_RT        IND_COMP_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            IND_WDRAW_ORIG_YR6_RT       IND_WDRAW_4YR_TRANS_YR6_RT       IND_WDRAW_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##             IND_ENRL_ORIG_YR6_RT        IND_ENRL_4YR_TRANS_YR6_RT        IND_ENRL_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##             IND_UNKN_ORIG_YR6_RT        IND_UNKN_4YR_TRANS_YR6_RT        IND_UNKN_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##              FEMALE_DEATH_YR6_RT          FEMALE_COMP_ORIG_YR6_RT     FEMALE_COMP_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     FEMALE_COMP_2YR_TRANS_YR6_RT         FEMALE_WDRAW_ORIG_YR6_RT    FEMALE_WDRAW_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##    FEMALE_WDRAW_2YR_TRANS_YR6_RT          FEMALE_ENRL_ORIG_YR6_RT     FEMALE_ENRL_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     FEMALE_ENRL_2YR_TRANS_YR6_RT          FEMALE_UNKN_ORIG_YR6_RT     FEMALE_UNKN_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     FEMALE_UNKN_2YR_TRANS_YR6_RT                MALE_DEATH_YR6_RT            MALE_COMP_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       MALE_COMP_4YR_TRANS_YR6_RT       MALE_COMP_2YR_TRANS_YR6_RT           MALE_WDRAW_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##      MALE_WDRAW_4YR_TRANS_YR6_RT      MALE_WDRAW_2YR_TRANS_YR6_RT            MALE_ENRL_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       MALE_ENRL_4YR_TRANS_YR6_RT       MALE_ENRL_2YR_TRANS_YR6_RT            MALE_UNKN_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       MALE_UNKN_4YR_TRANS_YR6_RT       MALE_UNKN_2YR_TRANS_YR6_RT                PELL_DEATH_YR6_RT 
##                             7804                             7804                             7804 
##            PELL_COMP_ORIG_YR6_RT       PELL_COMP_4YR_TRANS_YR6_RT       PELL_COMP_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##           PELL_WDRAW_ORIG_YR6_RT      PELL_WDRAW_4YR_TRANS_YR6_RT      PELL_WDRAW_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            PELL_ENRL_ORIG_YR6_RT       PELL_ENRL_4YR_TRANS_YR6_RT       PELL_ENRL_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            PELL_UNKN_ORIG_YR6_RT       PELL_UNKN_4YR_TRANS_YR6_RT       PELL_UNKN_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##              NOPELL_DEATH_YR6_RT          NOPELL_COMP_ORIG_YR6_RT     NOPELL_COMP_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     NOPELL_COMP_2YR_TRANS_YR6_RT         NOPELL_WDRAW_ORIG_YR6_RT    NOPELL_WDRAW_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##    NOPELL_WDRAW_2YR_TRANS_YR6_RT          NOPELL_ENRL_ORIG_YR6_RT     NOPELL_ENRL_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     NOPELL_ENRL_2YR_TRANS_YR6_RT          NOPELL_UNKN_ORIG_YR6_RT     NOPELL_UNKN_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##     NOPELL_UNKN_2YR_TRANS_YR6_RT                LOAN_DEATH_YR6_RT            LOAN_COMP_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       LOAN_COMP_4YR_TRANS_YR6_RT       LOAN_COMP_2YR_TRANS_YR6_RT           LOAN_WDRAW_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##      LOAN_WDRAW_4YR_TRANS_YR6_RT      LOAN_WDRAW_2YR_TRANS_YR6_RT            LOAN_ENRL_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       LOAN_ENRL_4YR_TRANS_YR6_RT       LOAN_ENRL_2YR_TRANS_YR6_RT            LOAN_UNKN_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##       LOAN_UNKN_4YR_TRANS_YR6_RT       LOAN_UNKN_2YR_TRANS_YR6_RT              NOLOAN_DEATH_YR6_RT 
##                             7804                             7804                             7804 
##          NOLOAN_COMP_ORIG_YR6_RT     NOLOAN_COMP_4YR_TRANS_YR6_RT     NOLOAN_COMP_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##         NOLOAN_WDRAW_ORIG_YR6_RT    NOLOAN_WDRAW_4YR_TRANS_YR6_RT    NOLOAN_WDRAW_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##          NOLOAN_ENRL_ORIG_YR6_RT     NOLOAN_ENRL_4YR_TRANS_YR6_RT     NOLOAN_ENRL_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##          NOLOAN_UNKN_ORIG_YR6_RT     NOLOAN_UNKN_4YR_TRANS_YR6_RT     NOLOAN_UNKN_2YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##            FIRSTGEN_DEATH_YR6_RT        FIRSTGEN_COMP_ORIG_YR6_RT   FIRSTGEN_COMP_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_COMP_2YR_TRANS_YR6_RT       FIRSTGEN_WDRAW_ORIG_YR6_RT  FIRSTGEN_WDRAW_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##  FIRSTGEN_WDRAW_2YR_TRANS_YR6_RT        FIRSTGEN_ENRL_ORIG_YR6_RT   FIRSTGEN_ENRL_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_ENRL_2YR_TRANS_YR6_RT        FIRSTGEN_UNKN_ORIG_YR6_RT   FIRSTGEN_UNKN_4YR_TRANS_YR6_RT 
##                             7804                             7804                             7804 
##   FIRSTGEN_UNKN_2YR_TRANS_YR6_RT           NOT1STGEN_DEATH_YR6_RT       NOT1STGEN_COMP_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_COMP_4YR_TRANS_YR6_RT  NOT1STGEN_COMP_2YR_TRANS_YR6_RT      NOT1STGEN_WDRAW_ORIG_YR6_RT 
##                             7804                             7804                             7804 
## NOT1STGEN_WDRAW_4YR_TRANS_YR6_RT NOT1STGEN_WDRAW_2YR_TRANS_YR6_RT       NOT1STGEN_ENRL_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_ENRL_4YR_TRANS_YR6_RT  NOT1STGEN_ENRL_2YR_TRANS_YR6_RT       NOT1STGEN_UNKN_ORIG_YR6_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_UNKN_4YR_TRANS_YR6_RT  NOT1STGEN_UNKN_2YR_TRANS_YR6_RT                     DEATH_YR8_RT 
##                             7804                             7804                             7804 
##                 COMP_ORIG_YR8_RT            COMP_4YR_TRANS_YR8_RT            COMP_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                WDRAW_ORIG_YR8_RT           WDRAW_4YR_TRANS_YR8_RT           WDRAW_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                 ENRL_ORIG_YR8_RT            ENRL_4YR_TRANS_YR8_RT            ENRL_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                 UNKN_ORIG_YR8_RT            UNKN_4YR_TRANS_YR8_RT            UNKN_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##              LO_INC_DEATH_YR8_RT          LO_INC_COMP_ORIG_YR8_RT     LO_INC_COMP_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##     LO_INC_COMP_2YR_TRANS_YR8_RT         LO_INC_WDRAW_ORIG_YR8_RT    LO_INC_WDRAW_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##    LO_INC_WDRAW_2YR_TRANS_YR8_RT          LO_INC_ENRL_ORIG_YR8_RT     LO_INC_ENRL_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##     LO_INC_ENRL_2YR_TRANS_YR8_RT          LO_INC_UNKN_ORIG_YR8_RT     LO_INC_UNKN_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##     LO_INC_UNKN_2YR_TRANS_YR8_RT              MD_INC_DEATH_YR8_RT          MD_INC_COMP_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     MD_INC_COMP_4YR_TRANS_YR8_RT     MD_INC_COMP_2YR_TRANS_YR8_RT         MD_INC_WDRAW_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##    MD_INC_WDRAW_4YR_TRANS_YR8_RT    MD_INC_WDRAW_2YR_TRANS_YR8_RT          MD_INC_ENRL_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     MD_INC_ENRL_4YR_TRANS_YR8_RT     MD_INC_ENRL_2YR_TRANS_YR8_RT          MD_INC_UNKN_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     MD_INC_UNKN_4YR_TRANS_YR8_RT     MD_INC_UNKN_2YR_TRANS_YR8_RT              HI_INC_DEATH_YR8_RT 
##                             7804                             7804                             7804 
##          HI_INC_COMP_ORIG_YR8_RT     HI_INC_COMP_4YR_TRANS_YR8_RT     HI_INC_COMP_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##         HI_INC_WDRAW_ORIG_YR8_RT    HI_INC_WDRAW_4YR_TRANS_YR8_RT    HI_INC_WDRAW_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          HI_INC_ENRL_ORIG_YR8_RT     HI_INC_ENRL_4YR_TRANS_YR8_RT     HI_INC_ENRL_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          HI_INC_UNKN_ORIG_YR8_RT     HI_INC_UNKN_4YR_TRANS_YR8_RT     HI_INC_UNKN_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                 DEP_DEATH_YR8_RT             DEP_COMP_ORIG_YR8_RT        DEP_COMP_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##        DEP_COMP_2YR_TRANS_YR8_RT            DEP_WDRAW_ORIG_YR8_RT       DEP_WDRAW_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       DEP_WDRAW_2YR_TRANS_YR8_RT             DEP_ENRL_ORIG_YR8_RT        DEP_ENRL_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##        DEP_ENRL_2YR_TRANS_YR8_RT             DEP_UNKN_ORIG_YR8_RT        DEP_UNKN_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##        DEP_UNKN_2YR_TRANS_YR8_RT                 IND_DEATH_YR8_RT             IND_COMP_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##        IND_COMP_4YR_TRANS_YR8_RT        IND_COMP_2YR_TRANS_YR8_RT            IND_WDRAW_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##       IND_WDRAW_4YR_TRANS_YR8_RT       IND_WDRAW_2YR_TRANS_YR8_RT             IND_ENRL_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##        IND_ENRL_4YR_TRANS_YR8_RT        IND_ENRL_2YR_TRANS_YR8_RT             IND_UNKN_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##        IND_UNKN_4YR_TRANS_YR8_RT        IND_UNKN_2YR_TRANS_YR8_RT              FEMALE_DEATH_YR8_RT 
##                             7804                             7804                             7804 
##          FEMALE_COMP_ORIG_YR8_RT     FEMALE_COMP_4YR_TRANS_YR8_RT     FEMALE_COMP_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##         FEMALE_WDRAW_ORIG_YR8_RT    FEMALE_WDRAW_4YR_TRANS_YR8_RT    FEMALE_WDRAW_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          FEMALE_ENRL_ORIG_YR8_RT     FEMALE_ENRL_4YR_TRANS_YR8_RT     FEMALE_ENRL_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          FEMALE_UNKN_ORIG_YR8_RT     FEMALE_UNKN_4YR_TRANS_YR8_RT     FEMALE_UNKN_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                MALE_DEATH_YR8_RT            MALE_COMP_ORIG_YR8_RT       MALE_COMP_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       MALE_COMP_2YR_TRANS_YR8_RT           MALE_WDRAW_ORIG_YR8_RT      MALE_WDRAW_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##      MALE_WDRAW_2YR_TRANS_YR8_RT            MALE_ENRL_ORIG_YR8_RT       MALE_ENRL_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       MALE_ENRL_2YR_TRANS_YR8_RT            MALE_UNKN_ORIG_YR8_RT       MALE_UNKN_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       MALE_UNKN_2YR_TRANS_YR8_RT                PELL_DEATH_YR8_RT            PELL_COMP_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##       PELL_COMP_4YR_TRANS_YR8_RT       PELL_COMP_2YR_TRANS_YR8_RT           PELL_WDRAW_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##      PELL_WDRAW_4YR_TRANS_YR8_RT      PELL_WDRAW_2YR_TRANS_YR8_RT            PELL_ENRL_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##       PELL_ENRL_4YR_TRANS_YR8_RT       PELL_ENRL_2YR_TRANS_YR8_RT            PELL_UNKN_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##       PELL_UNKN_4YR_TRANS_YR8_RT       PELL_UNKN_2YR_TRANS_YR8_RT              NOPELL_DEATH_YR8_RT 
##                             7804                             7804                             7804 
##          NOPELL_COMP_ORIG_YR8_RT     NOPELL_COMP_4YR_TRANS_YR8_RT     NOPELL_COMP_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##         NOPELL_WDRAW_ORIG_YR8_RT    NOPELL_WDRAW_4YR_TRANS_YR8_RT    NOPELL_WDRAW_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          NOPELL_ENRL_ORIG_YR8_RT     NOPELL_ENRL_4YR_TRANS_YR8_RT     NOPELL_ENRL_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##          NOPELL_UNKN_ORIG_YR8_RT     NOPELL_UNKN_4YR_TRANS_YR8_RT     NOPELL_UNKN_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##                LOAN_DEATH_YR8_RT            LOAN_COMP_ORIG_YR8_RT       LOAN_COMP_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       LOAN_COMP_2YR_TRANS_YR8_RT           LOAN_WDRAW_ORIG_YR8_RT      LOAN_WDRAW_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##      LOAN_WDRAW_2YR_TRANS_YR8_RT            LOAN_ENRL_ORIG_YR8_RT       LOAN_ENRL_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       LOAN_ENRL_2YR_TRANS_YR8_RT            LOAN_UNKN_ORIG_YR8_RT       LOAN_UNKN_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       LOAN_UNKN_2YR_TRANS_YR8_RT              NOLOAN_DEATH_YR8_RT          NOLOAN_COMP_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     NOLOAN_COMP_4YR_TRANS_YR8_RT     NOLOAN_COMP_2YR_TRANS_YR8_RT         NOLOAN_WDRAW_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##    NOLOAN_WDRAW_4YR_TRANS_YR8_RT    NOLOAN_WDRAW_2YR_TRANS_YR8_RT          NOLOAN_ENRL_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     NOLOAN_ENRL_4YR_TRANS_YR8_RT     NOLOAN_ENRL_2YR_TRANS_YR8_RT          NOLOAN_UNKN_ORIG_YR8_RT 
##                             7804                             7804                             7804 
##     NOLOAN_UNKN_4YR_TRANS_YR8_RT     NOLOAN_UNKN_2YR_TRANS_YR8_RT            FIRSTGEN_DEATH_YR8_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_COMP_ORIG_YR8_RT   FIRSTGEN_COMP_4YR_TRANS_YR8_RT   FIRSTGEN_COMP_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##       FIRSTGEN_WDRAW_ORIG_YR8_RT  FIRSTGEN_WDRAW_4YR_TRANS_YR8_RT  FIRSTGEN_WDRAW_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_ENRL_ORIG_YR8_RT   FIRSTGEN_ENRL_4YR_TRANS_YR8_RT   FIRSTGEN_ENRL_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##        FIRSTGEN_UNKN_ORIG_YR8_RT   FIRSTGEN_UNKN_4YR_TRANS_YR8_RT   FIRSTGEN_UNKN_2YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##           NOT1STGEN_DEATH_YR8_RT       NOT1STGEN_COMP_ORIG_YR8_RT  NOT1STGEN_COMP_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_COMP_2YR_TRANS_YR8_RT      NOT1STGEN_WDRAW_ORIG_YR8_RT NOT1STGEN_WDRAW_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
## NOT1STGEN_WDRAW_2YR_TRANS_YR8_RT       NOT1STGEN_ENRL_ORIG_YR8_RT  NOT1STGEN_ENRL_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_ENRL_2YR_TRANS_YR8_RT       NOT1STGEN_UNKN_ORIG_YR8_RT  NOT1STGEN_UNKN_4YR_TRANS_YR8_RT 
##                             7804                             7804                             7804 
##  NOT1STGEN_UNKN_2YR_TRANS_YR8_RT                       RPY_1YR_RT                 COMPL_RPY_1YR_RT 
##                             7804                             7804                             7804 
##                NONCOM_RPY_1YR_RT                LO_INC_RPY_1YR_RT                MD_INC_RPY_1YR_RT 
##                             7804                             7804                             7804 
##                HI_INC_RPY_1YR_RT                   DEP_RPY_1YR_RT                   IND_RPY_1YR_RT 
##                             7804                             7804                             7804 
##                  PELL_RPY_1YR_RT                NOPELL_RPY_1YR_RT                FEMALE_RPY_1YR_RT 
##                             7804                             7804                             7804 
##                  MALE_RPY_1YR_RT              FIRSTGEN_RPY_1YR_RT           NOTFIRSTGEN_RPY_1YR_RT 
##                             7804                             7804                             7804 
##                       RPY_3YR_RT                 COMPL_RPY_3YR_RT                NONCOM_RPY_3YR_RT 
##                             1669                             5363                             5466 
##                LO_INC_RPY_3YR_RT                MD_INC_RPY_3YR_RT                HI_INC_RPY_3YR_RT 
##                             2913                             4079                             6386 
##                   DEP_RPY_3YR_RT                   IND_RPY_3YR_RT                  PELL_RPY_3YR_RT 
##                             5861                             4611                             4013 
##                NOPELL_RPY_3YR_RT                FEMALE_RPY_3YR_RT                  MALE_RPY_3YR_RT 
##                             6450                             4002                             5672 
##              FIRSTGEN_RPY_3YR_RT           NOTFIRSTGEN_RPY_3YR_RT                       RPY_5YR_RT 
##                             2701                             2574                             1907 
##                 COMPL_RPY_5YR_RT                NONCOM_RPY_5YR_RT                LO_INC_RPY_5YR_RT 
##                             5632                             5511                             3116 
##                MD_INC_RPY_5YR_RT                HI_INC_RPY_5YR_RT                   DEP_RPY_5YR_RT 
##                             4214                             6406                             5634 
##                   IND_RPY_5YR_RT                  PELL_RPY_5YR_RT                NOPELL_RPY_5YR_RT 
##                             5021                             4393                             6244 
##                FEMALE_RPY_5YR_RT                  MALE_RPY_5YR_RT              FIRSTGEN_RPY_5YR_RT 
##                             4153                             5745                             3040 
##           NOTFIRSTGEN_RPY_5YR_RT                       RPY_7YR_RT                 COMPL_RPY_7YR_RT 
##                             2872                             2113                             5916 
##                NONCOM_RPY_7YR_RT                LO_INC_RPY_7YR_RT                MD_INC_RPY_7YR_RT 
##                             5339                             3255                             4453 
##                HI_INC_RPY_7YR_RT                   DEP_RPY_7YR_RT                   IND_RPY_7YR_RT 
##                             6457                             5457                             4902 
##                  PELL_RPY_7YR_RT                NOPELL_RPY_7YR_RT                FEMALE_RPY_7YR_RT 
##                             4399                             6413                             4237 
##                  MALE_RPY_7YR_RT              FIRSTGEN_RPY_7YR_RT           NOTFIRSTGEN_RPY_7YR_RT 
##                             5426                             3174                             3068 
##                       INC_PCT_LO                 DEP_STAT_PCT_IND                   DEP_INC_PCT_LO 
##                             7676                             7676                             5662 
##                   IND_INC_PCT_LO                PAR_ED_PCT_1STGEN                       INC_PCT_M1 
##                             4117                             1008                             7681 
##                       INC_PCT_M2                       INC_PCT_H1                       INC_PCT_H2 
##                             7678                             7683                             7798 
##                   DEP_INC_PCT_M1                   DEP_INC_PCT_M2                   DEP_INC_PCT_H1 
##                             6246                             6442                             7220 
##                   DEP_INC_PCT_H2                   IND_INC_PCT_M1                   IND_INC_PCT_M2 
##                             7499                             4792                             5442 
##                   IND_INC_PCT_H1                   IND_INC_PCT_H2                    PAR_ED_PCT_MS 
##                             6397                             7791                             1087 
##                    PAR_ED_PCT_HS                    PAR_ED_PCT_PS                 APPL_SCH_PCT_GE2 
##                              964                              965                             7804 
##                 APPL_SCH_PCT_GE3                 APPL_SCH_PCT_GE4                 APPL_SCH_PCT_GE5 
##                             7804                             7804                             7804 
##                      DEP_INC_AVG                      IND_INC_AVG                    OVERALL_YR2_N 
##                             5208                             3332                             7804 
##                     LO_INC_YR2_N                     MD_INC_YR2_N                     HI_INC_YR2_N 
##                             7804                             7804                             7804 
##                        DEP_YR2_N                        IND_YR2_N                     FEMALE_YR2_N 
##                             7804                             7804                             7804 
##                       MALE_YR2_N                       PELL_YR2_N                     NOPELL_YR2_N 
##                             7804                             7804                             7804 
##                       LOAN_YR2_N                     NOLOAN_YR2_N                   FIRSTGEN_YR2_N 
##                             7804                             7804                             7804 
##                  NOT1STGEN_YR2_N                    OVERALL_YR3_N                     LO_INC_YR3_N 
##                             7804                             7804                             7804 
##                     MD_INC_YR3_N                     HI_INC_YR3_N                        DEP_YR3_N 
##                             7804                             7804                             7804 
##                        IND_YR3_N                     FEMALE_YR3_N                       MALE_YR3_N 
##                             7804                             7804                             7804 
##                       PELL_YR3_N                     NOPELL_YR3_N                       LOAN_YR3_N 
##                             7804                             7804                             7804 
##                     NOLOAN_YR3_N                   FIRSTGEN_YR3_N                  NOT1STGEN_YR3_N 
##                             7804                             7804                             7804 
##                    OVERALL_YR4_N                     LO_INC_YR4_N                     MD_INC_YR4_N 
##                             7804                             7804                             7804 
##                     HI_INC_YR4_N                        DEP_YR4_N                        IND_YR4_N 
##                             7804                             7804                             7804 
##                     FEMALE_YR4_N                       MALE_YR4_N                       PELL_YR4_N 
##                             7804                             7804                             7804 
##                     NOPELL_YR4_N                       LOAN_YR4_N                     NOLOAN_YR4_N 
##                             7804                             7804                             7804 
##                   FIRSTGEN_YR4_N                  NOT1STGEN_YR4_N                    OVERALL_YR6_N 
##                             7804                             7804                             7804 
##                     LO_INC_YR6_N                     MD_INC_YR6_N                     HI_INC_YR6_N 
##                             7804                             7804                             7804 
##                        DEP_YR6_N                        IND_YR6_N                     FEMALE_YR6_N 
##                             7804                             7804                             7804 
##                       MALE_YR6_N                       PELL_YR6_N                     NOPELL_YR6_N 
##                             7804                             7804                             7804 
##                       LOAN_YR6_N                     NOLOAN_YR6_N                   FIRSTGEN_YR6_N 
##                             7804                             7804                             7804 
##                  NOT1STGEN_YR6_N                    OVERALL_YR8_N                     LO_INC_YR8_N 
##                             7804                             7804                             7804 
##                     MD_INC_YR8_N                     HI_INC_YR8_N                        DEP_YR8_N 
##                             7804                             7804                             7804 
##                        IND_YR8_N                     FEMALE_YR8_N                       MALE_YR8_N 
##                             7804                             7804                             7804 
##                       PELL_YR8_N                     NOPELL_YR8_N                       LOAN_YR8_N 
##                             7804                             7804                             7804 
##                     NOLOAN_YR8_N                   FIRSTGEN_YR8_N                  NOT1STGEN_YR8_N 
##                             7804                             7804                             7804 
##                         DEBT_MDN                    GRAD_DEBT_MDN                   WDRAW_DEBT_MDN 
##                             1241                             1455                             1626 
##                  LO_INC_DEBT_MDN                  MD_INC_DEBT_MDN                  HI_INC_DEBT_MDN 
##                             1975                             2476                             4175 
##                     DEP_DEBT_MDN                     IND_DEBT_MDN                    PELL_DEBT_MDN 
##                             3988                             2826                             2425 
##                  NOPELL_DEBT_MDN                  FEMALE_DEBT_MDN                    MALE_DEBT_MDN 
##                             4740                             2495                             3583 
##                FIRSTGEN_DEBT_MDN             NOTFIRSTGEN_DEBT_MDN                           DEBT_N 
##                             1533                             1467                              957 
##                      GRAD_DEBT_N                     WDRAW_DEBT_N                    LO_INC_DEBT_N 
##                             1376                             1375                             1713 
##                    MD_INC_DEBT_N                    HI_INC_DEBT_N                       DEP_DEBT_N 
##                             2107                             4134                             3888 
##                       IND_DEBT_N                      PELL_DEBT_N                    NOPELL_DEBT_N 
##                             2610                             2065                             4719 
##                    FEMALE_DEBT_N                      MALE_DEBT_N                  FIRSTGEN_DEBT_N 
##                             2204                             3536                             1423 
##               NOTFIRSTGEN_DEBT_N                GRAD_DEBT_MDN10YR                      CUML_DEBT_N 
##                             1312                             1455                              957 
##                    CUML_DEBT_P90                    CUML_DEBT_P75                    CUML_DEBT_P25 
##                             1772                             1507                             1507 
##                    CUML_DEBT_P10                            INC_N                        DEP_INC_N 
##                             1772                             7675                             5208 
##                        IND_INC_N                       DEP_STAT_N                         PAR_ED_N 
##                             3332                             7675                              963 
##                       APPL_SCH_N                     REPAY_DT_MDN                     SEPAR_DT_MDN 
##                             7804                             7804                             7804 
##                       REPAY_DT_N                       SEPAR_DT_N                        RPY_1YR_N 
##                             7804                             7804                             7804 
##                  COMPL_RPY_1YR_N                 NONCOM_RPY_1YR_N                 LO_INC_RPY_1YR_N 
##                             7804                             7804                             7804 
##                 MD_INC_RPY_1YR_N                 HI_INC_RPY_1YR_N                    DEP_RPY_1YR_N 
##                             7804                             7804                             7804 
##                    IND_RPY_1YR_N                   PELL_RPY_1YR_N                 NOPELL_RPY_1YR_N 
##                             7804                             7804                             7804 
##                 FEMALE_RPY_1YR_N                   MALE_RPY_1YR_N               FIRSTGEN_RPY_1YR_N 
##                             7804                             7804                             7804 
##            NOTFIRSTGEN_RPY_1YR_N                        RPY_3YR_N                  COMPL_RPY_3YR_N 
##                             7804                             1311                             3601 
##                 NONCOM_RPY_3YR_N                 LO_INC_RPY_3YR_N                 MD_INC_RPY_3YR_N 
##                             4244                             2136                             2315 
##                 HI_INC_RPY_3YR_N                    DEP_RPY_3YR_N                    IND_RPY_3YR_N 
##                             4977                             4433                             2973 
##                   PELL_RPY_3YR_N                 NOPELL_RPY_3YR_N                 FEMALE_RPY_3YR_N 
##                             2612                             4953                             2545 
##                   MALE_RPY_3YR_N               FIRSTGEN_RPY_3YR_N            NOTFIRSTGEN_RPY_3YR_N 
##                             4314                             1763                             1713 
##                        RPY_5YR_N                  COMPL_RPY_5YR_N                 NONCOM_RPY_5YR_N 
##                             1603                             3864                             4303 
##                 LO_INC_RPY_5YR_N                 MD_INC_RPY_5YR_N                 HI_INC_RPY_5YR_N 
##                             2329                             2601                             5030 
##                    DEP_RPY_5YR_N                    IND_RPY_5YR_N                   PELL_RPY_5YR_N 
##                             4235                             3392                             2961 
##                 NOPELL_RPY_5YR_N                 FEMALE_RPY_5YR_N                   MALE_RPY_5YR_N 
##                             4843                             2836                             4398 
##               FIRSTGEN_RPY_5YR_N            NOTFIRSTGEN_RPY_5YR_N                        RPY_7YR_N 
##                             2035                             1988                             1776 
##                  COMPL_RPY_7YR_N                 NONCOM_RPY_7YR_N                 LO_INC_RPY_7YR_N 
##                             3980                             4092                             2370 
##                 MD_INC_RPY_7YR_N                 HI_INC_RPY_7YR_N                    DEP_RPY_7YR_N 
##                             2733                             4908                             4050 
##                    IND_RPY_7YR_N                   PELL_RPY_7YR_N                 NOPELL_RPY_7YR_N 
##                             3264                             2989                             4597 
##                 FEMALE_RPY_7YR_N                   MALE_RPY_7YR_N               FIRSTGEN_RPY_7YR_N 
##                             2830                             4107                             2170 
##            NOTFIRSTGEN_RPY_7YR_N                         count_ed                        loan_ever 
##                             2138                             7804                             7804 
##                        pell_ever                        age_entry                     age_entry_sq 
##                             7804                             7804                             7804 
##                          agege24                           female                          married 
##                             7804                             7804                             7804 
##                        dependent                          veteran                        first_gen 
##                             7804                             7804                             7804 
##                           faminc                        md_faminc                       faminc_ind 
##                             7804                             7804                             7804 
##                         lnfaminc                     lnfaminc_ind                        pct_white 
##                             7804                             7804                             7804 
##                        pct_black                        pct_asian                     pct_hispanic 
##                             7804                             7804                             7804 
##                           pct_ba                    pct_grad_prof                      pct_born_us 
##                             7804                             7804                             7804 
##                    median_hh_inc                     poverty_rate                       unemp_rate 
##                             7804                             7804                             7804 
##                 ln_median_hh_inc                      fsend_count                          fsend_1 
##                             7804                             7804                             7804 
##                          fsend_2                          fsend_3                          fsend_4 
##                             7804                             7804                             7804 
##                          fsend_5                   count_nwne_p10                    count_wne_p10 
##                             7804                             7804                             7804 
##                  mn_earn_wne_p10                  md_earn_wne_p10               pct10_earn_wne_p10 
##                             7804                             7804                             7804 
##               pct25_earn_wne_p10               pct75_earn_wne_p10               pct90_earn_wne_p10 
##                             7804                             7804                             7804 
##                  sd_earn_wne_p10               count_wne_inc1_p10               count_wne_inc2_p10 
##                             7804                             7804                             7804 
##               count_wne_inc3_p10        count_wne_indep0_inc1_p10             count_wne_indep0_p10 
##                             7804                             7804                             7804 
##             count_wne_indep1_p10              count_wne_male0_p10              count_wne_male1_p10 
##                             7804                             7804                             7804 
##                       gt_25k_p10             mn_earn_wne_inc1_p10             mn_earn_wne_inc2_p10 
##                             7804                             7804                             7804 
##             mn_earn_wne_inc3_p10      mn_earn_wne_indep0_inc1_p10           mn_earn_wne_indep0_p10 
##                             7804                             7804                             7804 
##           mn_earn_wne_indep1_p10            mn_earn_wne_male0_p10            mn_earn_wne_male1_p10 
##                             7804                             7804                             7804 
##                    count_nwne_p6                     count_wne_p6                   mn_earn_wne_p6 
##                             7804                             7804                             7804 
##                   md_earn_wne_p6                pct10_earn_wne_p6                pct25_earn_wne_p6 
##                             7804                             7804                             7804 
##                pct75_earn_wne_p6                pct90_earn_wne_p6                   sd_earn_wne_p6 
##                             7804                             7804                             7804 
##                count_wne_inc1_p6                count_wne_inc2_p6                count_wne_inc3_p6 
##                             7804                             7804                             7804 
##         count_wne_indep0_inc1_p6              count_wne_indep0_p6              count_wne_indep1_p6 
##                             7804                             7804                             7804 
##               count_wne_male0_p6               count_wne_male1_p6                        gt_25k_p6 
##                             7804                             7804                             7804 
##              mn_earn_wne_inc1_p6              mn_earn_wne_inc2_p6              mn_earn_wne_inc3_p6 
##                             7804                             7804                             7804 
##       mn_earn_wne_indep0_inc1_p6            mn_earn_wne_indep0_p6            mn_earn_wne_indep1_p6 
##                             7804                             7804                             7804 
##             mn_earn_wne_male0_p6             mn_earn_wne_male1_p6                    count_nwne_p7 
##                             7804                             7804                             7804 
##                     count_wne_p7                   mn_earn_wne_p7                   sd_earn_wne_p7 
##                             7804                             7804                             7804 
##                        gt_25k_p7                    count_nwne_p8                     count_wne_p8 
##                             7804                             7804                             7804 
##                   mn_earn_wne_p8                   md_earn_wne_p8                pct10_earn_wne_p8 
##                             7804                             7804                             7804 
##                pct25_earn_wne_p8                pct75_earn_wne_p8                pct90_earn_wne_p8 
##                             7804                             7804                             7804 
##                   sd_earn_wne_p8                        gt_25k_p8                    count_nwne_p9 
##                             7804                             7804                             7804 
##                     count_wne_p9                   mn_earn_wne_p9                   sd_earn_wne_p9 
##                             7804                             7804                             7804 
##                        gt_25k_p9                    DEBT_MDN_SUPP               GRAD_DEBT_MDN_SUPP 
##                             7804                             1165                             1449 
##           GRAD_DEBT_MDN10YR_SUPP                  RPY_3YR_RT_SUPP           LO_INC_RPY_3YR_RT_SUPP 
##                             1449                             1523                             1730 
##           MD_INC_RPY_3YR_RT_SUPP           HI_INC_RPY_3YR_RT_SUPP            COMPL_RPY_3YR_RT_SUPP 
##                             2291                             3180                             1839 
##           NONCOM_RPY_3YR_RT_SUPP              DEP_RPY_3YR_RT_SUPP              IND_RPY_3YR_RT_SUPP 
##                             2150                             2165                             1903 
##             PELL_RPY_3YR_RT_SUPP           NOPELL_RPY_3YR_RT_SUPP           FEMALE_RPY_3YR_RT_SUPP 
##                             1669                             2322                             1698 
##             MALE_RPY_3YR_RT_SUPP         FIRSTGEN_RPY_3YR_RT_SUPP      NOTFIRSTGEN_RPY_3YR_RT_SUPP 
##                             2635                             1984                             1979 
##              C150_L4_POOLED_SUPP               C150_4_POOLED_SUPP              C200_L4_POOLED_SUPP 
##                             3942                             5432                             4141 
##               C200_4_POOLED_SUPP 
##                             5800

That’s quite a lot of NA values, which is going to be an issue for clustering algorithms. Let’s make a heatmap of some scaled values so we can see what is going on here with missing values.

library(Amelia)
missmap(colleges, col=c("gray90", "navy"), legend = FALSE, rank.order = FALSE,
        y.labels = NULL, y.at = NULL)

Start to Clean This Up

At the very least, let’s remove the rows that are all NA.

colleges <- Filter(function(x)!all(is.na(x)), colleges)
dim(colleges)
## [1] 7804  550

Now, just for a first go at some analysis, let’s pick out some columns that we think are likely to be meaningful.

library(dplyr)
college_subset <- colleges %>% 
    select(OPEID, INSTNM, CITY, STABBR, ZIP, 
           main, LOCALE, HIGHDEG, CONTROL, CCBASIC, HBCU, WOMENONLY, 
           ADM_RATE, SAT_AVG, UGDS, PPTUG_EF, TUITIONFEE_IN, AVGFACSAL, 
           PCTFLOAN, C150_4, DEBT_MDN, DEP_INC_AVG)

What are the quantities I have chosen here, for a first go at some analysis?

dictionary %>% filter(`VARIABLE NAME` %in% names(college_subset)) %>% select(`NAME OF DATA ELEMENT`)
## # A tibble: 22 × 1
##                                                                                                                                         `NAME OF DATA ELEMENT`
##                                                                                                                                                          <chr>
## 1                                                                                                                               8-digit OPE ID for institution
## 2                                                                                                                                             Institution name
## 3                                                                                                                                                         City
## 4                                                                                                                                               State postcode
## 5                                                                                                                                                     ZIP code
## 6                                                                                                                                         Flag for main campus
## 7  Highest degree awarded\n0        Non-degree-granting\n1        Certificate degree\n2        Associate degree\n3        Bachelor's degree\n4        Graduate
## 8                                                                                                                                       Control of institution
## 9                                                                                                                                        Locale of institution
## 10                                                                                                                            Carnegie Classification -- basic
## # ... with 12 more rows

There are still lots of NA values here, so just to get started here, let’s only keep the schools that have reported values for all of these observations. How many does that give us?

college_subset <- college_subset[complete.cases(college_subset),]
dim(college_subset)
## [1] 1209   22

Principal Component Analysis

Let’s take a look at how these variables are related to each other using principal component analysis. First, let’s scale the values and then do PCA.

college_names <- college_subset$INSTNM
college_SAT <- college_subset$SAT_AVG
college_subset <- college_subset[,6:22]
college_subset <- scale(college_subset)
college_pca <- prcomp(college_subset)

Let’s see what the first few of the principal components look like.

library(reshape2)
library(ggplot2)
melted <- melt(college_pca$rotation[,1:9])
ggplot(data = melted) +
    theme(legend.position = "none", axis.text.x = element_blank(), 
          axis.ticks.x = element_blank()) + 
    labs(x = "Measurements in College Scorecard data",
        y = "Relative importance in each principle component",
        title = "Variables in Principal Component Analysis") +
    geom_bar(aes(x=Var1, y=value, fill=Var1), stat="identity") +
    facet_wrap(~Var2)

Each of these components are orthogonal to each other, and the colored bars show the contribution of each original measurement in the College Scorecard to that principal component. Each principal component is uncorrelated to the others and together, the principal components contain the information in the data set. Let’s zoom in on the first principal component, the one that has the largest variance and accounts for the most variability between the colleges.

ggplot(data = melted[melted$Var2 == "PC1",]) +
    theme(legend.position = "none", 
          axis.text.x= element_text(angle=45, hjust = 1), 
          axis.ticks.x = element_blank()) + 
    labs(x = "Measurements in College Scorecard data",
         y = "Relative importance in principle component",
         title = "Variables in PC1") +
    geom_bar(aes(x=Var1, y=value, fill=Var1), stat="identity")

The biggest contributors to this principal component (and thus to the variation between colleges in this subset of colleges) are SAT score and completion rate, followed by faculty salary and students’ family income. It appears that this principal component is finding schools with students who did well on the SAT score, complete college at a high rate, and come from high-income families (also the professors are paid well there). (Notice that all those values go in the negative direction, so the value for this principal component will be negative for these types of schools.)

We could look at the other principal components to look for lower level effects, and we probably should.

First Attempt at Clustering

Now let’s see if we can do some clustering with this subset of the colleges. I’m going to start with k-means clustering. Let’s use the broom package to explore how many clusters may be appropriate for this data set. For starters, let’s try out 4 to 12 clusters.

library(broom)
library(tidyr)
set.seed(1234)
kclusts <- data.frame(k=4:18) %>% 
    group_by(k) %>% 
    do(kclust = kmeans(college_subset, .$k))

Now let’s use tidy, augment, and glance to organize these various sets of k-means clusterings.

clusters <- kclusts %>% group_by(k) %>% do(tidy(.$kclust[[1]]))
assignments <- kclusts %>% group_by(k) %>% do(augment(.$kclust[[1]], college_subset))
clusterings <- kclusts %>% group_by(k) %>% do(glance(.$kclust[[1]]))

Specifically, let’s look at the total within sum of squares, saved in the tot.withinss column in clusterings. This shows us the variance within the clusters.

library(ggfortify)
ggplot(clusterings, aes(k, tot.withinss)) +
    geom_line(color = "blue", alpha = 0.5, size = 2) +
    geom_point(size = 0.8)

Notice that the variance decreases with more clusters, but there is a “bend” around 10 clusters. This tells us that for this particular subset of colleges, we don’t gain as much by going beyond 10 clusters. Let’s look at how the colleges are distributed in the space of principal component 1 and 2, clustered with \(k = 10\).

set.seed(1234)
autoplot(kmeans(college_subset, 10), data = college_subset, size = 3, alpha = 0.8) + 
    ggtitle("K-Means Clustering of College Scorecard Data") +
    theme(legend.position="none")

Remember that the colleges with very negative values of PC1 were colleges where the students have high SAT scores, high completion rates, high family income levels, and the faculty have high salaries. Let’s label a few of them.

library(ggrepel)
set.seed(1234)
rownames(college_subset) <- college_names
autoplot(kmeans(college_subset, 10), data = college_subset, size = 3, alpha = 0.8) + 
    ggtitle("K-Means Clustering of College Scorecard Data") +
    theme(legend.position="none") +
    geom_text_repel(aes(PC1, PC2, 
                         color = factor(kmeans(college_subset, 10)$cluster), 
                         label = ifelse(college_SAT > 1475,rownames(college_subset),'')),
                     segment.color = NA)

Some of these clusters are overlapping as viewed in this space (PC1 and PC2) but they may be more separated in other components/dimensions.