2월 28일자 출석부에만 나오는 사람들의 분포

  group mark mark2
53 Red 0225 NA
58 Black 0225 NA
65 Black 0225 NA
72 Red 0225 NA
81 Black 0225 NA
109 Black 0225 NA
147 Black 0225 NA
175 Red 0225 NA
190 Red 0225 NA
201 Black 0225 NA
208 Red 0225 NA
211 Black 0225 NA
221 Red 0225 NA
223 Black 0225 NA
252 Red 0225 NA
255 Black 0225 NA
272 Red 0225 NA
276 Black 0225 NA
282 Red 0225 NA
306 Black 0225 NA
309 Black 0225 NA
311 Black 0225 NA
321 Red 0225 NA
361 Red 0225 NA
362 Black 0225 NA
363 Black 0225 NA
370 Red 0225 NA
374 Red 0225 NA
396 Black 0225 NA
397 Black 0225 NA
402 Black 0225 NA
423 Black 0225 NA
428 Black 0225 NA
454 Red 0225 NA
455 Red 0225 NA
458 Red 0225 NA
481 Red 0225 NA
506 Red 0225 NA
516 Red 0225 NA
526 Black 0225 NA
532 Black 0225 NA
590 Black 0225 NA
595 Red 0225 NA
600 Red 0225 NA
609 Red 0225 NA
616 Black 0225 NA
617 Black 0225 NA
637 Black 0225 NA
654 Red 0225 NA
706 Black 0225 NA
741 Red 0225 NA
749 Red 0225 NA
766 Red 0225 NA
773 Black 0225 NA
787 Black 0225 NA
795 Red 0225 NA
798 Black 0225 NA
819 Red 0225 NA
Red Black
28 30
## [1] 749

2월28일 출석부에도 나오는 사람들의 데이터 구조

## tibble [749 × 8] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:749] "경영학과" "국어국문학전공" "러시아학과" "사회학과" ...
##  $ id     : chr [1:749] "20102935" "20131126" "20131731" "20132202" ...
##  $ name   : chr [1:749] "전형준" "이기수" "최서진" "권재현" ...
##  $ status : chr [1:749] "학생" "학생" "휴학" "학생" ...
##  $ email  : chr [1:749] "hyungjun0127@nate.com" "rltnehwjr17@naver.com" "choiso0804@naver.com" "kwonjh95@naver.com" ...
##  $ cell_no: chr [1:749] "01036929723" "01047314558" "01030074840" "01062973849" ...
##  $ group  : Factor w/ 2 levels "Red","Black": 1 1 2 1 1 1 1 2 2 1 ...
##  $ mark   : chr [1:749] "0225" "0225" "0225" "0225" ...

수강신청 변경으로 나간 사람들의 데이터 구조

## 'data.frame':    58 obs. of  14 variables:
##  $ id       : chr  "20171519" "20172106" "20172355" "20172635" ...
##  $ dept.x   : chr  NA NA NA NA ...
##  $ name.x   : chr  NA NA NA NA ...
##  $ status.x : chr  NA NA NA NA ...
##  $ email.x  : chr  NA NA NA NA ...
##  $ cell_no.x: chr  NA NA NA NA ...
##  $ mark2    : chr  NA NA NA NA ...
##  $ dept.y   : chr  "중국학과" "심리학과" "사회복지학전공" "광고홍보학과" ...
##  $ name.y   : chr  "박준우" "김연아" "최승호" "정의찬" ...
##  $ status.y : chr  "휴학" "학생" "학생" "학생" ...
##  $ email.y  : chr  "mc_woo1004@naver.com" "dusdkgusdk@naver.com" "moyc3382@naver.com" "uks9598@naver.com" ...
##  $ cell_no.y: chr  "01041990452" "01035638214" "01087259182" "01033607303" ...
##  $ group    : Factor w/ 2 levels "Red","Black": 1 2 2 1 2 2 2 1 1 2 ...
##  $ mark     : chr  "0225" "0225" "0225" "0225" ...

수강 신청 변경으로 새로 들어온 사람들의 데이터 구조

## tibble [165 × 7] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:165] "식품영양학과" "사학전공" "중국학과" "화학과" ...
##  $ id     : chr [1:165] "20144146" "20151429" "20151501" "20154309" ...
##  $ name   : chr [1:165] "최의종" "이영찬" "고가인" "김경하" ...
##  $ status : chr [1:165] "학생" "학생" "학생" "학생" ...
##  $ email  : chr [1:165] "choiuijong@naver.com" "dldudgns18@naver.com" "kogain@naver.com" "h0518a@naver.com" ...
##  $ cell_no: chr [1:165] "01029682731" "01029295216" "01089653463" "01094219221" ...
##  $ mark2  : chr [1:165] "0305" "0305" "0305" "0305" ...

남아 있던 사람들 + 새로 들어온 사람들

## tibble [914 × 7] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:914] "경영학과" "국어국문학전공" "러시아학과" "사회학과" ...
##  $ id     : chr [1:914] "20102935" "20131126" "20131731" "20132202" ...
##  $ name   : chr [1:914] "전형준" "이기수" "최서진" "권재현" ...
##  $ status : chr [1:914] "학생" "학생" "학생" "학생" ...
##  $ email  : chr [1:914] "hyungjun0127@nate.com" "rltnehwjr17@naver.com" "choiso0804@naver.com" "kwonjh95@naver.com" ...
##  $ cell_no: chr [1:914] "01036929723" "01047314558" "01030074840" "01062973849" ...
##  $ mark2  : chr [1:914] "0305" "0305" "0305" "0305" ...

새로 들어온 사람에게만 랜덤화 적용

##         X1      X2      X3      X4      X5      X6
## X1  1.0000 -0.0470 -0.0151  0.0017  0.1246 -0.0035
## X2 -0.0470  1.0000 -0.0699  0.0026  0.0821 -0.0432
## X3 -0.0151 -0.0699  1.0000  0.0021 -0.0749 -0.0218
## X4  0.0017  0.0026  0.0021  1.0000 -0.0056  0.0065
## X5  0.1246  0.0821 -0.0749 -0.0056  1.0000 -0.0359
## X6 -0.0035 -0.0432 -0.0218  0.0065 -0.0359  1.0000
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1.26    5.98    7.27    7.43    8.71   20.76
## [1] 2.03
## 1000167 1000228 1000334 1000836 1001215 1001343 1001580 1001994 1002342 1002478 1002532 1002594 1003179 1003207 1003507 1003514 1003979 1004385 1004454 1005365 1005599 1005842 
##    2.04    2.96    2.77    2.68    2.58    2.80    2.67    2.72    2.65    2.99    2.98    2.98    2.49    2.88    3.00    2.86    2.83    2.65    2.93    3.00    2.23    2.12 
## 1005953 1006755 1006774 1007132 1007536 1007971 1008040 1008120 1008312 1008631 1008765 1008950 1009164 1009363 1009702 1010193 1010611 1011489 1011503 1011542 1011567 1012868 
##    2.95    2.82    2.47    2.99    2.66    2.88    2.50    2.51    2.50    2.80    2.96    2.93    2.85    2.72    2.53    2.99    2.49    2.91    2.76    2.75    2.75    2.85 
## 1013107 1013416 1013731 1013935 1015008 1015036 1015097 1015259 1015495 1015538 1015918 1016225 1016329 1017891 1018106 1018686 1020056 1020145 1021037 1021898 1022139 1022362 
##    2.94    2.87    2.99    2.74    2.21    2.44    2.58    1.74    2.26    2.46    2.92    2.91    2.76    2.92    2.48    2.76    2.71    2.08    2.84    2.79    1.84    2.74 
## 1022763 1023199 1023843 1023846 1024268 1024290 1025439 1025564 1025751 1026568 1027461 1027587 1027774 1027889 1028192 1028252 1028694 1028820 1029305 1029563 1029620 1029699 
##    1.85    2.75    2.29    2.94    2.98    2.45    2.67    2.82    2.14    1.86    2.35    2.87    2.65    2.58    2.85    2.38    2.52    2.85    2.09    2.82    2.56    2.00 
## 1029904 1029956 1029987 1030538 1030751 1030795 1030819 1031058 1031297 1032179 1032341 1032444 1032481 1032665 1032791 1033453 1033742 1034591 1034685 1034864 1034987 1035185 
##    2.81    2.98    2.99    2.65    1.74    2.89    2.66    2.97    2.48    2.38    2.51    1.71    2.86    2.81    2.58    2.92    2.91    2.10    2.80    2.48    2.92    2.70 
## 1035421 1035789 1035886 1035945 1035950 1036400 1036596 1036798 1037281 1037319 1038509 1038613 1038892 1038919 1038924 1039194 1040286 1040653 1040725 1040881 1040976 1041223 
##    2.77    2.92    2.68    2.82    2.95    2.56    2.41    2.61    2.50    2.82    2.18    2.69    2.91    1.83    2.95    2.10    2.82    2.83    1.82    2.85    2.87    2.83 
## 1042348 1042354 1042384 1042419 1042576 1043397 1043821 1043995 1044262 1044989 1045164 1045260 1046458 1046786 1047101 1047131 1047567 1047602 1047847 1048323 1048394 1048659 
##    2.15    2.88    2.81    2.85    2.75    2.96    2.82    2.56    2.98    2.74    2.93    2.56    2.90    2.55    2.98    2.70    2.63    2.99    2.59    2.51    2.73    2.39 
## 1048887 1048980 1049032 1049418 1049453 1050463 1050562 1050868 1051034 1051343 1051459 1051644 1052019 1052167 1052306 1052518 1052708 1052836 1053309 1053361 1053504 1054134 
##    2.47    2.96    2.89    2.84    2.72    2.35    2.86    2.98    2.67    2.81    2.42    2.94    2.98    2.58    2.85    2.51    2.50    2.40    2.76    3.00    2.38    2.35 
## 1054191 1054488 1054849 1055512 1056008 1056491 1056834 1056982 1057093 1057474 1057737 1058032 1058093 1058106 1058915 1059452 1060039 1060064 1060370 1060440 1060683 1060856 
##    2.62    2.67    2.66    2.48    2.82    2.00    2.77    2.99    2.68    2.91    2.82    3.00    3.00    2.76    2.40    2.59    2.87    2.98    2.88    2.78    2.95    2.94 
## 1060990 1061031 1061656 1061766 1061877 1062492 1062940 1063299 1063460 1063554 1063737 1063866 1064009 1064107 1064217 1064494 1064969 1065111 1065241 1065306 1066174 1067181 
##    2.83    3.00    2.74    2.74    2.94    2.88    2.60    2.80    2.76    2.33    2.59    2.46    2.96    2.92    1.91    2.88    2.69    2.35    2.96    2.75    2.87    2.48 
## 1067374 1067715 1067813 1068240 1068560 1069378 1069382 1069523 1069898 1070217 1070284 1070527 1070588 1071040 1071132 1071204 1071665 1071702 1071968 1072281 1072375 1072394 
##    2.90    2.98    2.92    2.79    2.11    2.99    2.81    2.68    2.47    2.95    2.55    2.95    2.86    2.79    2.98    2.84    1.80    1.98    2.29    2.59    2.89    2.95 
## 1072689 1073049 1073083 1073154 1073599 1074079 1074162 1074295 1074868 1074996 1075346 1075750 1075835 1077086 1077183 1077572 1077928 1078241 1078677 1078842 1079770 1080054 
##    3.00    2.76    2.53    2.84    2.94    2.75    2.27    2.90    2.74    2.13    2.68    2.08    2.70    2.95    1.86    2.94    2.85    2.89    2.65    2.97    2.76    2.59 
## 1080207 1080320 1080462 1080672 1080862 1081099 1081507 1081608 1081701 1081764 1082311 1082513 1082528 1082808 1082859 1083004 1083044 1083370 1083836 1084519 1084530 1084918 
##    1.76    2.89    2.60    2.67    2.99    2.05    2.96    2.95    2.51    2.81    2.81    2.84    2.68    2.65    2.87    2.55    2.51    2.20    2.51    2.76    2.94    2.70 
## 1084974 1085665 1085849 1085948 1086028 1086873 1087196 1087206 1087550 1087830 1088684 1088947 1089284 1089470 1089732 1090203 1090544 1090618 1090645 1091030 1091289 1091521 
##    2.99    2.87    2.70    2.93    2.56    2.96    2.41    2.44    2.74    2.40    1.81    2.46    2.87    2.29    2.93    1.87    2.58    2.43    2.45    2.63    2.53    2.80 
## 1091790 1092161 1093036 1093354 1094106 1094295 1094334 1094390 1094579 1094630 1094739 1094926 1095496 1095601 1095701 1095959 1096181 1096197 1096219 1096509 1096529 1096547 
##    2.97    2.97    2.95    2.96    2.92    2.91    2.73    2.72    2.85    2.11    2.26    2.58    2.74    2.78    2.64    2.45    2.06    2.81    2.87    2.63    2.98    2.69 
## 1096964 1097116 1097135 1097213 1097602 1097979 1098568 1098686 1098923 1099304 1099628 1099741 1100320 1100718 1101311 1101355 1101532 1101593 1101973 1102473 1102544 1102682 
##    2.81    2.99    2.81    2.95    1.96    2.52    2.98    2.94    2.97    2.50    2.95    2.56    2.86    2.71    2.84    2.84    2.99    2.45    2.15    2.60    2.52    2.82 
## 1102713 1102770 1102830 1102989 1103463 1104220 1104554 1104890 1105172 1105404 1105454 1105732 1105749 1105764 1105900 1106602 1106962 1107254 1107363 1107904 1107950 1108417 
##    2.71    2.95    2.18    1.77    2.46    2.85    2.79    2.68    2.77    2.91    2.85    2.54    2.78    2.75    2.88    2.96    2.81    2.95    1.87    2.86    2.78    2.45 
## 1108807 1109053 1109246 1109419 1110067 1110466 1110576 1110741 1111087 1111257 1111743 1112123 1112195 1112268 1112541 1112902 1113188 1113270 1113611 1115145 1115695 1115918 
##    2.74    2.61    2.92    3.00    2.71    2.65    2.99    2.53    2.79    2.52    2.32    2.99    2.28    1.87    2.71    2.96    2.52    2.63    2.62    2.87    2.76    2.99 
## 1116342 1116556 1116663 1116882 1117564 1118371 1118592 1118822 1119262 1119666 1119795 1119798 1119866 1120141 1121238 1121628 1121925 1122240 1122268 1122396 1122724 1122999 
##    2.45    2.80    2.96    2.98    2.54    2.82    2.94    2.49    2.95    2.89    2.04    2.77    2.90    2.99    2.62    2.45    2.96    2.94    2.71    2.98    2.57    2.94 
## 1123697 1124040 1124545 1124779 1125260 1125350 1125798 1125921 1125933 1126024 1126078 1126887 1127039 1128070 1128301 1128344 1128386 1128856 1129026 1129058 1129248 1129428 
##    2.81    2.81    2.77    2.40    2.90    2.99    2.70    2.67    2.37    2.30    2.81    2.88    2.96    2.92    2.75    2.54    2.76    2.99    2.96    2.03    2.94    2.24 
## 1129600 1129625 1129746 1130657 1130751 1131211 1131917 1132349 1132361 1133001 1133053 1133356 1133679 1133855 1134004 1134044 1134586 1134652 1134892 1135086 1135463 1135493 
##    2.94    2.86    2.23    2.95    2.80    2.91    2.84    2.76    2.80    2.32    1.94    1.81    2.80    2.37    2.59    2.78    2.98    2.67    2.84    2.77    2.99    2.98 
## 1135634 1135865 1136006 1136773 1137332 1137693 1137934 1137956 1138057 1138154 1138327 1138657 1138988 1139001 1139083 1139176 1139711 1139846 1139867 1140449 1140655 1140799 
##    2.50    2.74    2.72    2.74    2.63    2.68    2.33    2.61    2.83    2.52    2.76    2.53    2.56    2.99    2.96    2.78    2.34    2.60    2.98    2.40    2.63    2.92 
## 1141247 1141502 1142485 1142822 1142947 1142989 1143302 1143967 1144266 1144291 1144297 1144532 1144624 1145229 1145604 1146394 1146534 1146800 1147029 1147033 1147143 1147536 
##    2.60    2.97    2.89    2.40    2.12    2.69    2.47    2.56    2.94    2.95    2.46    2.97    2.27    2.88    2.67    2.94    2.89    2.96    2.16    2.76    2.60    2.35 
## 1148038 1148281 1148538 1148620 1148806 1149037 1150018 1150131 1150586 1150767 1151033 1151684 1151856 1152065 1152476 1152897 1152922 1153202 1153318 1153456 1153958 1154062 
##    2.12    2.98    2.41    2.85    2.82    1.88    2.38    2.90    2.71    2.43    2.77    2.97    2.06    2.65    2.70    2.73    2.97    2.41    2.79    2.65    2.61    2.61 
## 1154253 1154267 1155055 1155315 1155541 1155932 1156209 1156352 1156478 1156484 1157056 1157261 1158006 1158086 1158113 1158778 1158852 1159430 1160327 1160390 1160648 1160786 
##    2.63    2.39    2.75    2.94    1.65    1.99    2.90    2.31    2.93    2.96    2.59    2.93    2.65    2.83    2.62    2.23    2.39    2.77    2.87    2.91    2.85    1.93 
## 1160977 1161224 1161512 1162915 1163005 1164433 1164639 1164758 1164903 1165508 1166564 1166572 1166937 1167152 1167719 1167729 1168066 1168124 1168143 1168203 1168767 1169139 
##    2.94    2.67    2.88    2.28    2.85    2.88    2.25    2.65    2.48    2.30    2.20    2.50    2.37    2.77    2.29    2.43    1.95    2.58    2.75    2.90    2.43    2.96 
## 1169141 1169344 1169697 1170060 1170196 1170199 1170368 1170495 1170537 1170835 1171065 1171843 1172081 1172397 1173987 1174217 1174462 1174494 1175247 1175988 1176710 1176729 
##    2.68    2.68    2.03    2.93    2.73    2.35    2.85    2.91    2.59    2.81    2.48    2.79    2.75    3.00    1.90    2.90    2.90    2.81    2.58    2.91    2.58    2.26 
## 1176744 1176751 1177376 1178246 1178383 1178447 1179052 1179075 1180015 1180106 1180141 1180251 1180484 1180671 1181162 1181275 1181624 1181820 1181840 1182705 1182836 1183226 
##    2.75    2.85    2.80    2.99    2.92    2.29    2.99    2.60    2.72    1.86    2.35    2.70    2.99    2.90    2.91    2.25    2.59    2.99    2.17    2.74    2.86    2.78 
## 1183541 1184087 1184715 1184924 1185507 1185969 1185970 1186117 1186217 1186503 1186514 1187131 1187582 1187642 1188112 1188255 1188412 1188697 1188843 1188940 1189752 1189894 
##    2.96    3.00    2.93    2.21    2.89    2.94    2.34    2.95    2.77    2.08    2.94    2.93    2.58    2.56    2.30    2.17    2.74    2.73    2.57    2.50    2.93    2.99 
## 1190227 1190255 1190708 1190826 1190885 1191130 1191135 1191195 1191202 1191686 1192011 1192020 1192954 1193169 1193587 1193723 1193803 1193825 1194137 1194524 1194786 1194862 
##    2.66    2.61    2.96    2.45    2.43    2.97    2.88    2.55    2.90    2.78    2.68    2.85    2.92    2.38    2.67    2.81    2.56    2.56    2.56    2.50    2.43    2.51 
## 1194934 1195452 1195902 1196338 1196547 1197077 1197333 1197382 1197411 1197731 1197804 1198052 1198144 1198208 1198382 1198447 1199351 1199368 1199520 1200160 1200546 1200551 
##    2.82    1.87    2.95    2.96    2.87    2.81    2.94    2.90    2.32    2.96    2.99    2.95    2.93    2.78    2.98    2.79    2.26    2.24    2.73    2.60    2.97    2.96 
## 1201478 1201885 1202241 1202411 1202564 1202599 1202718 1202968 1203496 1203906 1204322 1204679 1205817 1205906 1206216 1207614 1207819 1207941 1208094 1208254 1208927 1209433 
##    2.79    2.24    1.85    2.64    2.79    2.93    2.71    2.58    1.92    2.66    2.64    2.85    2.44    1.94    2.37    2.85    2.97    2.51    2.84    2.82    2.96    2.72 
## 1209746 1209747 1210020 1210192 1210226 1210564 1210977 1212679 1213297 1214071 1214318 1214609 1214731 1215769 1216324 1216472 1216510 1216850 1216872 1216873 1216991 1217240 
##    2.79    2.56    2.37    2.53    2.76    2.83    2.99    2.97    2.48    2.82    2.40    2.96    2.72    2.94    2.77    2.15    2.42    2.76    2.66    2.90    2.87    2.42 
## 1217262 1217440 1217614 1217711 1217777 1217780 1217817 1217872 1217973 1218368 1218483 1218634 1218913 1219106 1219339 1220102 1220311 1220914 1220995 1221451 1222418 1222906 
##    2.29    2.97    2.52    2.72    2.78    2.18    2.77    2.63    2.40    2.93    2.66    2.19    2.63    2.90    2.53    2.13    2.66    2.41    2.80    2.73    2.97    2.53 
## 1222923 1223104 1223338 1223522 1223593 1223638 1223838 1224315 1224659 1225556 1225673 1225913 1225956 1226044 1226421 1226778 1226831 1227393 1227762 1227842 1228023 1228332 
##    2.96    2.72    2.00    2.92    2.69    2.73    2.90    2.83    2.71    2.63    2.85    2.15    2.88    2.85    2.79    2.72    2.97    2.91    2.58    2.88    2.88    2.71 
## 1228396 1228454 1228998 1229094 1229452 1230031 1230573 1230751 1230957 1231273 1231378 1231457 1231916 1231954 1232551 1232919 1232925 1232964 1233583 1233605 1233786 1233841 
##    2.42    3.00    1.83    2.64    2.93    2.66    2.75    2.88    2.32    2.29    2.90    2.37    2.01    2.83    2.92    2.67    2.44    2.58    2.66    1.91    2.91    2.94 
## 1234003 1234057 1234058 1234252 1234859 1235007 1235221 1235819 1235961 1235993 1236057 1236134 1236276 1236298 1237252 1237585 1237600 1237706 1238333 1239025 1239038 1239571 
##    2.79    2.19    2.53    2.87    2.94    2.53    2.48    2.75    2.99    2.89    2.80    2.65    2.92    2.93    2.90    2.74    2.88    2.85    2.61    2.88    2.68    2.34 
## 1239622 1240303 1240731 1241447 1241784 1241832 1242115 1242445 1242991 1243144 1243311 1243725 1244006 1244243 1244458 1244817 1244959 1244994 1245119 1245297 1245738 1245836 
##    2.89    2.60    2.85    2.96    2.57    2.37    2.07    2.87    2.38    2.44    2.77    2.64    2.69    2.68    2.78    2.66    2.56    1.96    2.39    2.92    2.79    2.25 
## 1246385 1246883 1246924 1246948 1247086 1247204 1247424 1247805 1247877 1248197 1248450 1248579 1248940 1249205 1249479 1250273 1250637 1251353 1251961 1251994 1252224 1252346 
##    2.37    2.95    2.94    2.79    2.80    2.70    2.79    2.71    2.64    2.62    2.66    2.96    2.60    2.58    2.93    2.00    2.33    2.39    2.53    2.32    2.16    2.90 
## 1252956 1253098 1253284 1254333 1255327 1255339 1255514 1256454 1256526 1257371 1257435 1257738 1259140 1259517 1259903 1260131 1260415 1260558 1261002 1261228 1261311 1261529 
##    2.59    2.94    2.69    2.96    2.41    2.96    2.84    2.95    2.69    2.94    1.86    2.56    2.84    2.55    2.89    2.90    2.50    2.01    2.99    2.29    2.62    2.67 
## 1261923 1262018 1262101 1262278 1262299 1262665 1262798 1262836 1263242 1263439 1263847 1264256 1264271 1264605 1264791 1265286 1265618 1265675 1266311 1266376 1266710 1267270 
##    2.83    2.68    2.93    2.96    2.87    2.04    2.47    2.87    2.98    2.95    2.60    2.79    2.98    2.78    2.52    2.30    2.43    2.07    2.86    2.97    2.92    2.33 
## 1267312 1267354 1267603 1267886 1268103 1268114 1268227 1268473 1268757 1269171 1269212 1269348 1270275 1271031 1271548 1271694 1271735 1271798 1271890 1271913 1272165 1272233 
##    2.81    2.91    2.59    2.85    2.96    2.76    2.65    2.85    2.92    2.49    2.28    2.42    2.66    2.86    2.30    2.52    2.59    2.47    2.61    2.92    2.89    2.92 
## 1272388 1273722 1274146 1274367 1274549 1274902 1275039 1275106 1275478 1275771 1275795 1277245 1277266 1277786 1277898 1279170 1279882 1279933 1280106 1280867 1280934 1281031 
##    2.55    2.79    2.86    2.97    2.85    2.62    2.99    2.42    2.28    2.68    2.88    2.95    2.39    2.82    2.59    2.59    2.96    2.64    2.86    2.86    2.48    2.83 
## 1281060 1281739 1281878 1281994 1282295 1282741 1282789 1283395 1283567 1284092 1284697 1284998 1285007 1285724 1286228 1286389 1286588 1286786 1286949 1286953 1287049 1287601 
##    2.97    2.44    2.96    2.44    2.87    2.86    2.29    2.57    2.66    2.63    2.55    2.32    2.45    2.68    2.61    2.63    2.90    2.39    2.82    2.84    2.84    2.86 
## 1287699 1287731 1289354 1290099 1290641 1290771 1290905 1291052 1291899 1292886 1293325 1293351 1293631 1293772 1293985 1294314 1294321 1294584 1294812 1294953 1295746 1295830 
##    2.86    2.58    2.89    2.07    2.94    2.61    2.53    2.94    2.99    2.98    2.73    2.78    2.57    2.71    2.94    2.31    2.93    2.91    2.51    2.93    2.89    2.74 
## 1296002 1296131 1296335 1296484 1296493 1297202 1297349 1297456 1298251 1298819 1299200 1299246 1299851 1300222 1300537 1300712 1300875 1301149 1301389 1301520 1301983 1302102 
##    2.13    2.79    2.74    2.86    2.96    2.19    2.86    2.90    2.76    1.69    2.63    2.76    2.78    2.92    2.85    2.86    2.84    2.80    2.72    2.77    1.88    2.72 
## 1302160 1302269 1302587 1303110 1303305 1303370 1304322 1304938 1305278 1305360 1305557 1305604 1305630 1305638 1305852 1305953 1306492 1306509 1306962 1307082 1307743 1308404 
##    2.98    2.60    2.93    2.96    2.73    2.97    2.73    2.81    2.67    2.55    2.93    2.83    2.44    2.73    2.70    2.84    2.29    2.65    1.89    2.42    2.87    1.96 
## 1308522 1309014 1309483 1309602 1309609 1310084 1310143 1310285 1310376 1311635 1312284 1312579 1312580 1312879 1313342 1313464 1313546 1313574 1313868 1313938 1313971 1314141 
##    3.00    2.25    2.23    3.00    2.90    2.50    2.75    2.82    2.79    2.72    2.97    2.71    2.80    2.87    2.94    2.97    1.75    2.67    2.87    2.45    2.95    2.15 
## 1314323 1314379 1314535 1314749 1314859 1315093 1315338 1315410 1315468 1315556 1316067 1317160 1317821 1318080 1318333 1318393 1318750 1319022 1319387 1319629 1319870 1320563 
##    2.75    2.21    3.00    2.80    2.95    2.71    2.85    2.89    2.52    2.73    2.83    2.56    2.62    2.42    2.93    2.89    2.92    2.90    2.71    2.89    2.49    2.38 
## 1321227 1321678 1322416 1322503 1322523 1322675 1323133 1323238 1323255 1323617 1324056 1324197 1324731 1324886 1325574 1325719 1325731 1325963 1326322 1326443 1326584 1326802 
##    2.67    2.56    2.95    2.54    2.79    2.45    2.74    2.87    2.97    2.96    2.79    2.91    2.86    2.74    2.96    2.79    2.70    2.90    2.98    2.17    2.35    2.97 
## 1327206 1327285 1327311 1327855 1327918 1328005 1328319 1328386 1328622 1328739 1328835 1328890 1328913 1329117 1329142 1329446 1329604 1329933 1330022 1330418 1330643 1331132 
##    2.87    2.62    2.83    2.94    2.78    2.44    2.45    2.98    2.84    2.19    2.77    2.37    2.24    1.91    2.75    2.85    2.67    2.79    2.75    2.44    2.63    2.35 
## 1331458 1331613 1332235 1332842 1333191 1333601 1333626 1334900 1335047 1335152 1336360 1336405 1337468 1337804 1337882 1338018 1338402 1338674 1338803 1339328 1339514 1339987 
##    2.87    2.81    2.99    2.79    2.81    2.60    2.89    2.19    2.94    2.92    2.96    2.86    2.49    2.91    2.46    2.52    2.95    2.54    2.99    2.71    2.79    2.63 
## 1340119 1340240 1340300 1340512 1340623 1340707 1340951 1341055 1341342 1341447 1342163 1342291 1342950 1343134 1343160 1343377 1343648 1343775 1344006 1344144 1344539 1344625 
##    2.18    2.88    2.61    2.12    2.79    2.55    2.97    2.69    2.63    2.78    2.90    2.92    2.68    2.70    2.69    2.57    2.98    2.92    2.09    2.99    2.98    2.31 
## 1344640 1344777 1344819 1344968 1345104 1345403 1345428 1345647 1345982 1346101 1346185 1347184 1347464 1347819 1347981 1348576 1349103 1349237 1349269 1349413 1349608 1349894 
##    2.69    2.03    2.83    2.32    2.50    2.59    2.99    2.57    2.53    2.94    2.66    2.92    2.99    2.96    2.75    2.80    2.96    2.96    2.95    2.76    1.92    1.90 
## 1350157 1350604 1351837 1351859 1352164 1352784 1353004 1353293 1353790 1353948 1354471 1354636 1354766 1354958 1355003 1355079 1355506 1355595 1355836 1356345 1356527 1356958 
##    2.55    2.40    2.92    2.45    2.99    2.56    2.83    2.83    2.98    2.44    2.48    2.66    2.68    2.91    2.99    2.17    2.55    2.61    2.43    2.61    2.83    2.87 
## 1357014 1357490 1357749 1358176 1358673 1359163 1360019 1360103 1360240 1360473 1361492 1361581 1362234 1362310 1362557 1362960 1363303 1363377 1363515 1363581 1364280 1364936 
##    2.75    2.70    2.52    2.20    2.76    2.87    2.72    2.20    2.64    2.76    2.93    2.79    2.71    2.23    2.70    2.96    2.72    2.71    2.89    2.82    2.89    2.91 
## 1364959 1365503 1365748 1365974 1365992 1366116 1366933 1367061 1367687 1367971 1368309 1368341 1368399 1369332 1370731 1371075 1371436 1371544 1372056 1372179 1372493 1373224 
##    2.43    2.69    1.95    2.70    2.96    2.91    2.61    2.63    2.96    2.32    2.14    2.73    2.52    2.77    2.98    2.71    2.56    2.56    2.81    2.74    2.91    2.44 
## 1373918 1375468 1375519 1375604 1376010 1376122 1376283 1376831 1376956 1377189 1377734 1377826 1377959 1378287 1378989 1379255 1379573 1380037 1380240 1380351 1380389 1380803 
##    2.87    2.27    2.80    2.81    2.86    2.85    1.97    2.82    2.91    2.57    2.76    2.95    2.88    3.00    2.63    2.02    2.70    2.91    2.90    2.22    2.90    2.69 
## 1381033 1381444 1381527 1381600 1382034 1383578 1383617 1383933 1384210 1384631 1384919 1384990 1385855 1386030 1386265 1386330 1386726 1387020 1387078 1387131 1387260 1388008 
##    2.77    2.73    2.32    2.19    2.50    2.92    2.99    2.30    2.82    2.95    2.74    2.87    2.12    2.54    2.88    2.74    2.93    2.98    2.38    2.62    2.44    2.40 
## 1388462 1389347 1389566 1389856 1389863 1389906 1390011 1390431 1390518 1390696 1390722 1391000 1391002 1391064 1391774 1391829 1391847 1392201 1392268 1392612 1393605 1393911 
##    2.71    2.92    2.78    2.86    2.86    2.31    2.96    2.61    2.97    2.72    2.87    2.97    2.75    2.45    2.97    2.78    2.98    2.20    2.90    2.85    2.75    2.98 
## 1394035 1394267 1394407 1394798 1394803 1395303 1395582 1395753 1395827 1396843 1397111 1397774 1398607 1398858 1399253 1399954 1400350 1401481 1401547 1401618 1401634 1402155 
##    2.94    2.88    2.76    2.48    2.97    2.74    2.85    2.95    2.82    2.02    2.86    2.32    2.80    2.91    2.97    2.96    2.45    2.82    2.94    2.55    2.10    2.58 
## 1403054 1403457 1403462 1404889 1405028 1405365 1406061 1406214 1406517 1406848 1407172 1407192 1407935 1407946 1408139 1408337 1409506 1409593 1409668 1409774 1410060 1410086 
##    2.46    2.99    2.00    2.77    2.76    2.91    2.96    2.69    2.61    2.93    2.86    2.99    2.94    2.84    2.74    2.67    2.76    2.79    2.88    2.47    1.97    2.57 
## 1410309 1410757 1410905 1411401 1411838 1412037 1413258 1413438 1414334 1414354 1414694 1414859 1414953 1415963 1416120 1416135 1416310 1416495 1416531 1416649 1416708 1416818 
##    2.97    2.91    2.37    2.95    2.70    2.51    2.25    2.98    2.97    2.23    2.94    2.99    2.89    2.88    2.99    2.99    2.00    1.60    2.94    2.80    2.17    2.93 
## 1416970 1417070 1417322 1417354 1417423 1417645 1418897 1419282 1419549 1419807 1420294 1420352 1420937 1421017 1421563 1421851 1421976 1422149 1422285 1422334 1422671 1422687 
##    2.78    1.95    2.90    2.34    2.89    2.99    2.63    2.64    2.98    2.86    2.59    2.81    1.92    1.76    2.99    2.93    2.34    2.60    2.94    2.81    2.31    2.94 
## 1422869 1422894 1423369 1423958 1423999 1424154 1424335 1424686 1424797 1425176 1425351 1425546 1425654 1425914 1426619 1426685 1426823 1426844 1426935 1427883 1428006 1428075 
##    2.75    2.96    2.89    2.96    2.58    2.56    2.28    2.95    2.52    2.91    2.64    2.97    1.91    2.71    2.98    2.98    3.00    2.55    2.15    2.97    2.97    2.76 
## 1428133 1428283 1428526 1428844 1429232 1429361 1429738 1430288 1430804 1430882 1431092 1431121 1431569 1431999 1432108 1433224 1433313 1433349 1434184 1434336 1434772 1435199 
##    2.47    2.50    2.95    2.87    2.99    2.80    2.59    2.46    2.54    1.92    2.57    2.84    2.65    2.78    2.95    2.91    2.86    2.86    2.54    2.95    2.81    2.56 
## 1435947 1436442 1436488 1436708 1437159 1437267 1437827 1438552 1438749 1438823 1439036 1439118 1439353 1439655 1440194 1440991 1441201 1441383 1441437 1441944 1442611 1443535 
##    2.89    2.77    2.92    2.93    2.85    2.71    2.82    2.96    2.98    2.58    2.23    2.88    2.97    2.98    2.90    2.80    2.84    2.64    2.71    2.83    2.60    2.68 
## 1443920 1444226 1444339 1444769 1444893 1444913 1444939 1445242 1445450 1445694 1446005 1446197 1447031 1447563 1447652 1447747 1447757 1447798 1448559 1448608 1448892 1449052 
##    2.68    2.97    2.96    2.95    2.97    2.93    2.78    2.76    2.68    2.75    2.96    2.42    2.58    2.62    2.03    1.78    2.55    2.80    2.91    2.99    2.96    2.84 
## 1449275 1449301 1450018 1450433 1450553 1450827 1451104 1451298 1451768 1451884 1452078 1452693 1452892 1452997 1453210 1453887 1454419 1454847 1454938 1455254 1455674 1455952 
##    2.86    2.46    2.17    2.96    2.96    2.73    2.93    2.84    2.87    2.86    2.15    2.99    2.67    2.96    2.97    2.62    2.85    2.98    2.96    2.85    2.78    2.80 
## 1456051 1456245 1456280 1456862 1456920 1457178 1458302 1458347 1458754 1458890 1459119 1459144 1459255 1459256 1459367 1460415 1460558 1460806 1460920 1461030 1461138 1461182 
##    2.62    2.53    2.82    2.59    2.72    2.73    2.50    2.99    2.86    2.93    2.69    2.86    2.96    2.24    2.89    2.30    2.97    2.43    2.99    2.84    2.67    2.98 
## 1461257 1461702 1461831 1461940 1462147 1462479 1462754 1462841 1462914 1463706 1463833 1464015 1464159 1464278 1464285 1464374 1464774 1464836 1465119 1465255 1465276 1465552 
##    2.94    2.51    2.61    2.84    2.43    2.91    2.83    2.57    2.91    2.68    2.81    2.59    2.18    2.84    2.77    2.44    2.98    2.86    2.97    2.97    2.84    2.57 
## 1465942 1466044 1466315 1466504 1466509 1466556 1467239 1467444 1467572 1467684 1467811 1468784 1469275 1469671 1469719 1469963 1470144 1470158 1470468 1470656 1470707 1470822 
##    2.63    2.78    3.00    2.81    2.72    2.52    2.54    1.91    2.81    2.78    2.38    2.94    2.98    2.65    2.63    2.96    2.54    2.57    2.70    2.63    2.85    2.83 
## 1471230 1471536 1471602 1472091 1472281 1472407 1473372 1473421 1473620 1475025 1475055 1475370 1475591 1475604 1475663 1476200 1476210 1476396 1476400 1477062 1477123 1477355 
##    2.90    2.74    2.52    2.65    2.98    2.93    2.91    2.62    2.42    2.98    2.57    2.81    2.71    2.73    2.53    1.64    2.56    2.61    2.08    2.47    2.93    2.85 
## 1477400 1478405 1478690 1478861 1478913 1479768 1479847 1479928 1480127 1480141 1480170 1480217 1480405 1480490 1481138 1481222 1481226 1482537 1483079 1483292 1483521 1483965 
##    2.52    2.92    2.72    2.43    2.72    2.98    2.18    2.54    2.99    2.04    2.91    2.11    2.87    2.85    2.44    2.73    2.63    2.98    2.97    3.00    2.97    2.70 
## 1485636 1485891 1486212 1486953 1488099 1488179 1488417 1488961 1489069 1489236 1489356 1489722 1489982 1489997 1490208 1491297 1491328 1491693 1492109 1492968 1493428 1493781 
##    2.76    2.62    2.46    2.86    2.90    2.44    2.78    2.33    3.00    2.85    2.81    2.63    2.37    2.61    2.93    2.76    2.55    2.66    2.77    2.50    2.29    2.64 
## 1494090 1494468 1494533 1494869 1495046 1496716 1496741 1496883 1496954 1497380 1497521 1497569 1497781 1498145 1498220 1498684 1498791 1498919 1498967 1499034 1499116 1499121 
##    2.69    2.54    1.60    2.35    2.51    2.39    2.77    2.85    2.93    2.83    2.44    2.77    2.78    2.46    2.52    2.95    2.76    2.61    2.67    2.69    1.76    2.78 
## 1499542 1499703 1500608 1500609 1500696 1500765 1501215 1501482 1501809 1502023 1502098 1502195 1502441 1502743 1503098 1503692 1503718 1503927 1504003 1504545 1504626 1505358 
##    2.09    2.65    2.42    2.69    2.56    2.82    2.74    2.36    2.28    2.66    2.70    2.10    2.85    2.93    2.91    2.79    2.96    2.74    2.89    2.68    2.13    2.47 
## 1505432 1506049 1506749 1507006 1507528 1507772 1507798 1508357 1508704 1508824 1509368 1509900 1512033 1512351 1512576 1513297 1513969 1514110 1514224 1514752 1514924 1515099 
##    2.69    2.47    2.96    2.39    2.85    2.54    2.93    2.87    2.93    2.91    2.68    2.63    2.93    2.98    2.91    2.72    2.76    2.90    2.04    2.68    1.50    2.66 
## 1515286 1515835 1516335 1516404 1516771 1517020 1517166 1517287 1517911 1517951 1518132 1518637 1518852 1518862 1518868 1518921 1519168 1519255 1519301 1519453 1520636 1521205 
##    2.47    2.91    2.85    2.55    2.99    2.54    2.59    2.89    2.78    2.93    2.15    2.76    2.94    2.62    2.37    2.67    2.91    2.74    2.69    2.94    2.91    2.47 
## 1521232 1521255 1521363 1521475 1521846 1522096 1522544 1522800 1523168 1523258 1523336 1523680 1523784 1524098 1524337 1524734 1525129 1525568 1525679 1525921 1526028 1526230 
##    2.35    2.77    2.36    2.33    2.65    2.73    2.39    3.00    2.56    2.98    2.66    2.27    2.80    2.27    2.72    2.19    1.99    2.87    2.56    1.28    2.57    2.48 
## 1526236 1526608 1527109 1527285 1527331 1527334 1527355 1527379 1527599 1527736 1528009 1528116 1528480 1528693 1528749 1529620 1529622 1529986 1530448 1530475 1531000 1531049 
##    2.93    2.10    2.32    2.48    2.94    2.85    2.22    2.59    2.56    2.62    2.79    2.54    2.48    2.92    2.70    2.66    2.41    2.76    2.86    2.95    2.68    2.54 
## 1531416 1531429 1531464 1531474 1531475 1531608 1531773 1532237 1532985 1533180 1533453 1533628 1534230 1534368 1534378 1535187 1535411 1535507 1535599 1535892 1536629 1536683 
##    2.25    2.83    2.36    3.00    2.29    2.73    1.97    2.50    2.57    2.06    2.81    2.66    2.58    2.85    2.95    2.66    2.84    2.95    2.88    2.93    2.76    2.96 
## 1536888 1537036 1537714 1538179 1538307 1539483 1539491 1539874 1540296 1540612 1540635 1540693 1541251 1541265 1541295 1541639 1541865 1541924 1542612 1542891 1542898 1544253 
##    2.90    2.91    2.42    2.90    2.91    2.85    2.54    2.74    2.62    2.99    2.63    1.73    2.57    2.93    2.32    2.86    2.64    2.83    2.25    2.87    2.06    2.83 
## 1544308 1544495 1544650 1544851 1545139 1545267 1546403 1547108 1547115 1547274 1547354 1547814 1547866 1548393 1548629 1549388 1549827 1550072 1550663 1550677 1550764 1550906 
##    2.71    2.91    2.89    2.29    2.62    2.57    2.96    2.22    2.87    2.94    2.78    2.79    2.71    2.81    2.74    2.25    2.66    2.82    2.82    2.67    2.62    2.22 
## 1551015 1551190 1551431 1551463 1551759 1552221 1552356 1552384 1552386 1552795 1552837 1552871 1552975 1553422 1553538 1553861 1554565 1554833 1555253 1556256 1556647 1556961 
##    2.97    2.75    2.92    2.39    2.82    2.55    2.24    2.72    2.93    2.83    2.78    2.61    2.84    2.07    2.63    2.99    2.94    2.89    2.99    2.99    2.95    2.75 
## 1557060 1557447 1557570 1557657 1558333 1558414 1558471 1558886 1559018 1559173 1559447 1559627 1559754 1560179 1560261 1560480 1560561 1560627 1560812 1560879 1561127 1561682 
##    2.71    2.49    2.74    2.58    2.70    2.12    2.65    2.83    2.66    2.40    2.98    2.85    2.96    2.35    2.96    2.72    2.89    2.51    2.75    2.47    2.58    2.84 
## 1561794 1562184 1562638 1562949 1563453 1563553 1563568 1563629 1563670 1563783 1563984 1564475 1564706 1564885 1564999 1565920 1566490 1566533 1567378 1568147 1568154 1568338 
##    2.96    2.82    2.95    2.64    2.97    2.16    2.84    2.55    2.78    2.06    2.97    2.88    2.67    2.77    2.16    1.79    2.96    2.81    2.26    2.25    2.68    2.11 
## 1569045 1569602 1569757 1569905 1570006 1570041 1570122 1570534 1570771 1571227 1571410 1571446 1572132 1572343 1572608 1572842 1573818 1573935 1574353 1574414 1574443 1574545 
##    2.33    2.93    2.96    2.42    2.83    2.54    2.93    1.87    2.29    2.66    2.04    2.72    2.90    2.69    2.92    2.87    2.99    2.86    2.82    2.47    2.49    2.51 
## 1574742 1574878 1575123 1575415 1575514 1575607 1576311 1577101 1577396 1578324 1578618 1578736 1578990 1579744 1579872 1580520 1580524 1580673 1582077 1582477 1582831 1583182 
##    2.49    2.31    2.97    2.13    2.51    2.88    2.87    2.70    2.39    2.34    2.93    2.53    2.65    2.60    2.91    2.79    2.52    1.81    2.63    2.40    2.34    2.70 
## 1583635 1584105 1584298 1584415 1584426 1584485 1584764 1585308 1585812 1586849 1586965 1587396 1587429 1587554 1588130 1588668 1588850 1589112 1589217 1589291 1589562 1590413 
##    2.72    2.89    2.94    2.94    2.57    2.82    2.80    2.22    2.83    2.91    2.98    2.54    2.61    2.78    2.95    2.83    1.96    2.68    2.69    2.80    2.53    2.97 
## 1590452 1590605 1590887 1591474 1591740 1592283 1592337 1592466 1593578 1594568 1594797 1594880 1595398 1595619 1595684 1595910 1596461 1596601 1596990 1597014 1597378 1598397 
##    2.57    2.81    2.69    2.94    2.99    2.93    2.41    1.87    3.00    2.92    2.66    2.63    2.92    2.69    2.95    2.75    2.98    2.77    2.84    2.97    2.72    2.85 
## 1598903 1599298 1599497 1599606 1600773 1600775 1600799 1601222 1601398 1601986 1602023 1602364 1602464 1602526 1602784 1603258 1603741 1603779 1603937 1604019 1604284 1604481 
##    2.86    2.87    2.73    1.45    2.51    2.50    2.98    2.78    3.00    2.52    2.80    1.96    2.36    2.97    2.64    2.59    2.88    2.69    2.74    2.99    2.93    2.94 
## 1604524 1604663 1604786 1605241 1605371 1605692 1605729 1606468 1607063 1607447 1607884 1607990 1608009 1608305 1608385 1608565 1608706 1608749 1608966 1609066 1609086 1609142 
##    2.60    2.28    2.98    2.96    2.95    2.12    2.73    2.68    2.73    2.70    2.95    2.97    2.79    2.35    2.35    2.36    2.98    2.22    2.49    2.80    2.15    2.94 
## 1609172 1609772 1611138 1611276 1611361 1611564 1611599 1612085 1612176 1612596 1612714 1612739 1612749 1613222 1613568 1614042 1614471 1615484 1615951 1616201 1617211 1617844 
##    2.26    2.17    2.81    2.99    2.61    2.93    2.51    2.75    2.71    2.47    2.87    2.94    2.78    2.83    2.93    2.96    2.68    2.87    1.95    2.88    2.70    3.00 
## 1617919 1617931 1618037 1618809 1619837 1620019 1620357 1621236 1621350 1621801 1622277 1622436 1622602 1622628 1623142 1623368 1623638 1624088 1624128 1624282 1625240 1625271 
##    2.93    2.76    2.78    2.82    2.99    2.76    2.92    2.58    2.95    2.57    2.89    2.95    2.10    2.35    2.98    3.00    2.99    2.89    2.88    2.89    2.50    2.93 
## 1625667 1625977 1626729 1626918 1627582 1627705 1627717 1627847 1628414 1628815 1629101 1629176 1630076 1630847 1630873 1630888 1632605 1632655 1633055 1633477 1633746 1633770 
##    2.16    2.38    2.46    2.84    2.85    2.93    2.21    2.61    2.96    2.81    2.81    2.95    2.39    2.98    2.70    1.99    2.98    2.59    2.84    2.61    2.53    2.90 
## 1633777 1633835 1633861 1633978 1634499 1634550 1634632 1635187 1635336 1635526 1635670 1636016 1636149 1636242 1636525 1636707 1636763 1636918 1637101 1637255 1637312 1637501 
##    2.69    2.22    2.89    2.38    2.30    2.92    1.56    2.61    2.83    2.99    2.17    2.91    2.90    2.96    2.95    2.97    2.92    2.70    2.39    2.71    2.59    2.74 
## 1637630 1637713 1638352 1638946 1638952 1639279 1639332 1639469 1639595 1639746 1640083 1640346 1640571 1640614 1640653 1640729 1640981 1641024 1641144 1641276 1641566 1642079 
##    2.97    2.72    2.83    2.91    2.37    2.35    2.79    2.31    2.97    2.32    2.93    2.56    2.93    2.85    2.89    1.88    2.58    2.66    2.61    2.94    2.92    2.97 
## 1642111 1642284 1642305 1642991 1643098 1643269 1643581 1643651 1643947 1644220 1644360 1645216 1645323 1645504 1645934 1645966 1646174 1646209 1646469 1646560 1646987 1647275 
##    2.95    2.10    2.95    1.98    2.75    2.93    2.57    2.45    2.63    2.91    2.95    2.90    2.79    2.77    2.74    2.81    2.86    2.69    2.64    2.94    2.86    2.81 
## 1647535 1647650 1647688 1648193 1649065 1649204 1649959 1650129 1650793 1651382 1651594 1651704 1652222 1652228 1652502 1652582 1652584 1652684 1652729 1652977 1653170 1653330 
##    2.84    2.84    2.74    2.79    2.79    2.23    2.52    2.83    2.64    2.99    2.82    2.78    2.90    2.87    2.85    2.98    2.66    2.80    2.70    2.87    2.96    2.81 
## 1653530 1654003 1654516 1655257 1655642 1655715 1655832 1656542 1656720 1657353 1657519 1657663 1658003 1658545 1658681 1658700 1658823 1658938 1658951 1659066 1659281 1659690 
##    2.73    2.81    2.98    2.44    2.64    2.93    2.86    2.42    2.95    2.81    2.59    2.57    2.19    2.90    2.21    2.29    2.64    2.55    2.69    2.91    2.18    2.29 
## 1659843 1660009 1660487 1661168 1661286 1661376 1661675 1661676 1661716 1661984 1663532 1663996 1664586 1664591 1664841 1665365 1666663 1667218 1667303 1667730 1668225 1668662 
##    2.91    2.96    2.01    2.99    2.72    2.57    2.95    2.36    2.98    2.91    2.75    2.77    2.69    2.83    2.84    2.68    2.84    2.78    2.70    2.72    2.75    2.41 
## 1669008 1669290 1669528 1670308 1670398 1670708 1670912 1671114 1671229 1672730 1672752 1672829 1673090 1673125 1673515 1673551 1673737 1673794 1673819 1673848 1674134 1674327 
##    2.96    2.30    1.88    2.64    2.69    2.55    2.87    2.02    2.42    1.43    2.76    2.96    2.86    2.99    1.26    2.60    2.52    2.85    2.53    2.96    2.57    2.53 
## 1674630 1675154 1675232 1675275 1675419 1676144 1676162 1676261 1676408 1676528 1676802 1677797 1678006 1678393 1678453 1678474 1678840 1679121 1679123 1679542 1679552 1679827 
##    2.82    2.98    2.92    2.86    2.86    2.77    2.06    2.28    2.87    2.40    2.96    2.46    2.81    2.01    2.84    2.95    2.24    2.79    2.46    2.52    2.31    2.60 
## 1680080 1680272 1680408 1680695 1680977 1681106 1681153 1681164 1681429 1681590 1682098 1682711 1682797 1683291 1683429 1683795 1683992 1684029 1684923 1684987 1685142 1685253 
##    2.20    2.74    2.30    2.83    2.37    2.95    2.85    1.88    2.75    1.93    2.52    2.81    2.86    2.90    2.37    2.66    2.77    2.67    2.99    2.97    2.27    2.83 
## 1685488 1686336 1687197 1688008 1688016 1688323 1688359 1688666 1689503 1689690 1689877 1690247 1690641 1690663 1691004 1691155 1691430 1691651 1692002 1692506 1692563 1692617 
##    2.79    2.73    2.74    2.55    2.67    2.56    2.37    2.50    2.75    2.96    2.70    2.85    2.67    2.22    2.94    3.00    2.64    2.37    2.32    2.47    2.91    2.76 
## 1692863 1693015 1693496 1693590 1693785 1693878 1693924 1693968 1694072 1694547 1695080 1695130 1695509 1695855 1695963 1695990 1696899 1697219 1697484 1697622 1697999 1698007 
##    2.49    2.66    2.03    2.94    2.81    2.78    2.51    2.56    2.18    2.31    2.09    2.88    2.97    2.80    2.96    2.72    2.85    2.80    2.03    2.82    2.82    2.57 
## 1698040 1698124 1698607 1698642 1699046 1699230 1699455 1699571 1700090 1700359 1700748 1701001 1701329 1701608 1701619 1701646 1702061 1702178 1702559 1702904 1703083 1703178 
##    2.32    2.33    2.92    2.64    2.77    2.63    2.94    2.76    2.99    2.41    2.74    2.99    2.93    2.18    2.71    2.91    2.93    1.88    2.95    2.24    2.93    2.62 
## 1703223 1703443 1703450 1703765 1703818 1704167 1704201 1704339 1704451 1705129 1705192 1705235 1705659 1706218 1706461 1707181 1707414 1708014 1708257 1708395 1708561 1708562 
##    2.70    2.90    2.84    2.53    2.67    2.29    2.40    2.48    2.23    2.75    2.85    2.01    2.09    2.77    2.56    2.87    2.29    2.89    2.94    2.64    2.65    2.48 
## 1709123 1709376 1710074 1710118 1710203 1710424 1711155 1711446 1711586 1711686 1711987 1712346 1712994 1713690 1713929 1714080 1714241 1714813 1716624 1716725 1716900 1717024 
##    2.71    2.73    2.93    2.50    2.80    2.75    2.99    2.62    2.72    2.39    2.53    2.65    2.60    1.98    2.77    2.85    2.66    2.82    2.71    2.76    2.87    2.88 
## 1717136 1717786 1717976 1717983 1718354 1718973 1718980 1719518 1719653 1719884 1720298 1721172 1721509 1721522 1721798 1721919 1722287 1723149 1723180 1723502 1723777 1724092 
##    2.86    2.20    2.96    2.90    2.70    2.95    1.91    2.78    2.93    2.59    2.79    2.79    2.96    2.94    2.51    2.80    2.42    2.84    2.80    2.16    2.57    2.70 
## 1724569 1724802 1724965 1725365 1725685 1725894 1726019 1726035 1726279 1726669 1726691 1727247 1727379 1727496 1728004 1728209 1728796 1730352 1730439 1730630 1731109 1732298 
##    2.71    2.91    2.83    2.62    2.91    2.71    2.95    2.76    2.90    2.91    2.90    2.99    2.60    1.75    2.48    2.88    2.65    2.21    2.60    1.92    2.89    2.69 
## 1732731 1733209 1733283 1734217 1734704 1734712 1735062 1736298 1736336 1736451 1736703 1736840 1737179 1737570 1737900 1738320 1738723 1739621 1739635 1739706 1739909 1739999 
##    2.97    2.28    2.68    2.65    2.53    2.66    2.50    2.55    2.70    2.83    2.67    2.66    2.87    2.86    2.93    2.82    2.00    2.83    2.96    2.71    2.63    2.93 
## 1740317 1740460 1740536 1740627 1740865 1741260 1741264 1741284 1741517 1741540 1741959 1742369 1742389 1742442 1743066 1743467 1743538 1743627 1743645 1743646 1743667 1744543 
##    2.69    2.70    2.79    2.66    2.41    2.95    2.08    2.57    3.00    2.56    2.99    2.17    2.42    2.65    2.93    2.14    2.57    2.70    2.83    2.35    2.97    2.93 
## 1744765 1744859 1744952 1745096 1745667 1746062 1746445 1746510 1746612 1746688 1746822 1746890 1747367 1747641 1747888 1747943 1748699 1748737 1748963 1749503 1749995 1750341 
##    2.90    2.54    2.91    2.38    2.91    2.26    2.86    2.45    2.23    2.50    2.62    2.14    2.74    2.71    2.77    2.61    2.77    1.70    2.24    2.38    1.63    2.24 
## 1750762 1750933 1751239 1751389 1751592 1752101 1752432 1752433 1752631 1752880 1753052 1753315 1753318 1753673 1753748 1754075 1754298 1754488 1754541 1754753 1755005 1755393 
##    2.95    2.81    2.90    2.75    2.60    2.37    2.95    2.54    2.95    2.77    2.92    2.75    2.94    2.94    2.67    2.92    2.84    2.71    2.87    2.92    2.82    2.89 
## 1755714 1756303 1756549 1756632 1756896 1757975 1758530 1759694 1760487 1760953 1761418 1761923 1762279 1762373 1763622 1764210 1764467 1764858 1764933 1764945 1765265 1765280 
##    2.61    2.81    2.94    2.99    3.00    2.92    2.96    2.58    2.93    2.17    2.95    2.65    2.94    2.47    2.88    2.52    2.91    2.91    2.77    2.90    2.57    2.38 
## 1765465 1765484 1765756 1766199 1766412 1766982 1767069 1767204 1767665 1767695 1769094 1769203 1770028 1770058 1770152 1770560 1771222 1771774 1772050 1772327 1772469 1772548 
##    2.15    2.67    2.93    2.60    2.77    2.31    2.13    2.21    2.75    2.36    2.76    2.82    2.94    2.78    2.83    2.60    2.28    2.84    2.97    2.56    2.90    2.50 
## 1772643 1772946 1772960 1773236 1773269 1773420 1773472 1773483 1773767 1773802 1774061 1774466 1774531 1774720 1774849 1774903 1775276 1775630 1775719 1776490 1776901 1776955 
##    2.72    2.89    2.80    2.78    2.77    2.99    2.69    2.99    2.59    2.95    3.00    2.57    2.76    2.79    2.80    2.68    2.89    2.99    2.81    2.98    2.84    2.93 
## 1777062 1777172 1777719 1777902 1778279 1778612 1778739 1778766 1779141 1779772 1779967 1780154 1781019 1781075 1781315 1781826 1781971 1782090 1782338 1782434 1782567 1782983 
##    2.88    2.33    2.75    2.87    2.77    2.91    2.18    2.72    2.98    2.88    2.73    2.64    2.96    2.95    2.39    2.27    2.94    2.94    2.64    2.65    2.94    2.77 
## 1783006 1783747 1784064 1784280 1784355 1784403 1785068 1785810 1786036 1786533 1787298 1787717 1787862 1788161 1788531 1789468 1789471 1789609 1789633 1790017 1790257 1790483 
##    2.94    2.75    2.96    2.48    2.79    2.64    2.86    2.60    1.77    2.71    2.67    2.71    2.69    2.98    2.64    2.94    2.72    2.94    2.61    2.96    2.58    2.55 
## 1790604 1791165 1792053 1792371 1793521 1793867 1793949 1794055 1794077 1794782 1794803 1795447 1796041 1796285 1797445 1798401 1798949 1798984 1799285 1799318 1799634 1799876 
##    2.50    2.50    2.84    2.53    2.67    2.40    2.63    2.68    1.96    2.35    2.94    2.97    2.94    2.87    2.41    2.88    2.94    2.79    2.64    2.79    2.74    1.77 
## 1799992 1800004 1800107 1800249 1800283 1800314 1800735 1800789 1800978 1801489 1801641 1801761 1801930 1801948 1802581 1803040 1803092 1803294 1803299 1803309 1803527 1803591 
##    2.59    2.62    2.94    2.71    2.53    2.44    2.53    2.42    2.58    2.67    2.88    2.62    2.78    2.50    2.91    2.02    2.25    2.95    2.67    2.27    2.53    2.97 
## 1803649 1803725 1804911 1805003 1805462 1805665 1805692 1805901 1806077 1806310 1806457 1806703 1806834 1807408 1808194 1808800 1809099 1809562 1809910 1810237 1810684 1810874 
##    2.92    2.79    2.84    2.86    2.71    2.72    2.83    2.63    3.00    2.95    2.84    2.20    2.76    3.00    2.94    2.77    1.81    2.75    2.89    2.92    2.75    2.42 
## 1810917 1811016 1811362 1811499 1811654 1811663 1811824 1811982 1811987 1812366 1812462 1812724 1812950 1813736 1813791 1813856 1814958 1815150 1815405 1815887 1815897 1816126 
##    3.00    2.60    2.87    2.64    2.72    2.92    2.98    2.96    2.77    2.01    2.74    2.33    2.94    2.59    2.71    2.90    2.40    2.53    2.93    2.23    2.91    2.95 
## 1816434 1816515 1817960 1818699 1819660 1819771 1819850 1820277 1820308 1820657 1820669 1821099 1821334 1821570 1821962 1822015 1822295 1822748 1823357 1823660 1824142 1824145 
##    2.94    2.82    2.61    2.61    2.72    2.91    2.91    2.85    2.60    2.81    2.17    2.97    2.82    2.70    1.93    2.93    2.54    2.67    2.23    2.59    2.24    2.29 
## 1824408 1825223 1825524 1826078 1826393 1826566 1826948 1827350 1827796 1827966 1828218 1828719 1828830 1829141 1829242 1829507 1829526 1829589 1830336 1830552 1830553 1830939 
##    2.61    2.36    2.89    2.36    2.86    2.67    2.21    2.97    2.83    2.80    2.50    2.97    2.04    2.97    2.97    2.88    2.29    2.43    2.86    2.99    2.99    2.82 
## 1831068 1831444 1831862 1832376 1832520 1833467 1833587 1833636 1833843 1833899 1833901 1834093 1834141 1834721 1835710 1835827 1836055 1836244 1836322 1836745 1836925 1836926 
##    2.60    2.82    2.62    2.83    2.76    2.54    2.55    2.00    2.79    2.77    2.95    2.98    2.96    2.88    2.84    2.93    3.00    2.30    2.91    2.98    2.72    2.75 
## 1837002 1837316 1837474 1837556 1838499 1838525 1838676 1838708 1838913 1839057 1839348 1839669 1839804 1841012 1841792 1841813 1842000 1842499 1843340 1843784 1844206 1844426 
##    2.50    2.60    2.92    2.47    2.78    2.78    2.97    2.28    2.73    2.86    2.90    2.73    2.96    2.88    2.66    2.90    2.69    2.70    2.76    2.94    2.81    2.95 
## 1844438 1844485 1844562 1844716 1844795 1845705 1845736 1845782 1846523 1846591 1846826 1846898 1847339 1847434 1847490 1847611 1847804 1847908 1848139 1848152 1848326 1848327 
##    2.77    2.44    2.97    2.87    1.30    2.79    2.97    2.72    2.43    1.91    2.91    2.72    2.72    2.87    2.67    2.76    2.87    2.53    2.79    2.63    2.89    2.70 
## 1849115 1849285 1849474 1849502 1850383 1850501 1850549 1850968 1851420 1851436 1851483 1851806 1852255 1853066 1853238 1853384 1853865 1853892 1854262 1854335 1854600 1854823 
##    2.67    2.75    2.97    2.98    2.55    2.65    2.62    2.39    2.75    2.56    2.91    2.69    2.52    2.89    2.29    2.63    2.45    2.85    2.68    2.83    2.98    2.40 
## 1854908 1855073 1855377 1855492 1855826 1856541 1857618 1857646 1857751 1857890 1857952 1858350 1858493 1858747 1858993 1859433 1859559 1859608 1859610 1860078 1860094 1860557 
##    2.98    2.53    2.51    2.69    2.63    2.76    2.33    2.40    2.94    1.66    2.64    2.50    2.27    2.18    2.38    2.73    2.45    2.64    2.19    2.91    2.90    2.86 
## 1861113 1861363 1861694 1861951 1862189 1862285 1862398 1862610 1862804 1862866 1863615 1863967 1864361 1864424 1864498 1864558 1864752 1864857 1865472 1866596 1867636 1867902 
##    2.54    2.69    2.87    2.96    2.89    2.59    1.72    2.79    2.64    2.36    2.41    2.80    2.97    2.81    2.80    2.30    2.26    2.88    2.72    2.79    2.70    2.82 
## 1868145 1868187 1868452 1868581 1868626 1868769 1869420 1869688 1869950 1869971 1869977 1870161 1870250 1870556 1870633 1870786 1870916 1871136 1871257 1871426 1871534 1872695 
##    2.81    2.59    2.89    2.97    2.89    2.36    2.79    2.94    2.88    2.64    2.10    2.61    2.62    3.00    2.99    2.63    2.94    2.87    2.84    2.90    2.81    2.95 
## 1872776 1873700 1873977 1874329 1874583 1874820 1874854 1875152 1875542 1876193 1876208 1876724 1877422 1878395 1878499 1878888 1878930 1878985 1879648 1879886 1879967 1880299 
##    2.04    2.91    2.70    2.54    2.94    2.80    2.91    2.74    2.46    2.53    2.36    2.50    2.67    2.58    2.89    3.00    2.55    2.33    2.60    2.84    2.71    2.71 
## 1881360 1881580 1882209 1882305 1882639 1883009 1883556 1883593 1884059 1884689 1885121 1885432 1885532 1886316 1886779 1887968 1888301 1888554 1888606 1888937 1889423 1889585 
##    2.58    2.92    2.91    2.99    2.68    2.98    2.82    2.83    2.84    2.91    2.36    2.72    2.57    2.55    2.75    2.94    2.56    2.82    2.97    2.77    2.26    2.85 
## 1889596 1889670 1889845 1890304 1890332 1890399 1890462 1890515 1891052 1891959 1892556 1892781 1893576 1893621 1893719 1893903 1894357 1895580 1895822 1895973 1896578 1896588 
##    2.10    2.54    2.27    2.52    2.71    2.93    2.59    2.81    2.74    2.59    2.91    2.28    2.85    2.86    2.96    2.51    2.91    2.63    2.34    2.84    2.55    2.87 
## 1896759 1896924 1897952 1898565 1898799 1898827 1898935 1898962 1899215 1899432 1899487 1900357 1901099 1901150 1901696 1901843 1901983 1902135 1902338 1902993 1903476 1903534 
##    2.63    2.72    2.55    2.67    2.97    2.90    2.29    2.73    2.20    2.88    1.96    2.96    2.87    2.71    2.88    2.86    2.91    2.68    2.44    2.76    2.24    2.98 
## 1903642 1903698 1903932 1903969 1904041 1904415 1904428 1904773 1904879 1905238 1905390 1905656 1905687 1905741 1906726 1906856 1907244 1907558 1907973 1908226 1908422 1908618 
##    2.02    2.70    2.64    2.36    2.76    2.68    2.80    2.82    2.31    2.49    2.12    2.67    2.31    2.72    2.61    2.94    2.39    2.67    2.53    2.93    2.96    2.44 
## 1908691 1908845 1908895 1909014 1909149 1909414 1910141 1910184 1910869 1911090 1911399 1911539 1911566 1911717 1913390 1914575 1914711 1915264 1915920 1916039 1916159 1916521 
##    2.68    2.89    2.97    2.83    2.46    2.86    2.62    2.63    2.97    2.25    2.72    2.90    2.56    2.92    2.31    1.84    2.96    2.95    2.49    2.97    2.90    2.43 
## 1916647 1916762 1916901 1916911 1917130 1917323 1917742 1922578 1922793 1922865 1923350 1923422 1923440 1923452 1923461 1923519 1923641 1923706 1923951 1924167 1925216 1925370 
##    2.67    2.79    1.98    2.37    2.68    2.70    2.06    1.89    2.84    2.44    2.77    2.88    2.80    2.67    2.91    2.95    2.79    2.54    2.89    2.86    2.71    2.34 
## 1925449 1925856 1926327 1926498 1926951 1927192 1927199 1927345 1927401 1927869 1928300 1928379 1928410 1928768 1929105 1929215 1929378 1929863 1930226 1930274 1930504 1930578 
##    2.93    2.67    2.71    2.96    2.29    2.77    2.85    2.93    2.91    2.32    2.36    2.97    2.95    2.89    2.95    2.94    2.78    2.92    2.83    2.90    2.62    2.96 
## 1930873 1931020 1931115 1931535 1932009 1932202 1932855 1932913 1933233 1933587 1934055 1934086 1934205 1934652 1934868 1934885 1935081 1935603 1935907 1936543 1936580 1937703 
##    2.96    2.79    2.22    1.83    3.00    2.56    2.79    2.47    2.98    2.67    2.64    2.94    2.77    2.43    2.78    2.85    2.69    2.37    1.92    2.68    2.94    2.87 
## 1937708 1938087 1938150 1938197 1938229 1938320 1938674 1938853 1939292 1939537 1940049 1940375 1940426 1940949 1941850 1941901 1942338 1942594 1942631 1943193 1943256 1943498 
##    2.49    2.94    2.80    2.79    2.56    2.88    2.71    3.00    2.92    2.41    2.31    2.96    2.46    2.36    2.83    2.23    2.84    2.31    2.98    2.25    2.90    2.77 
## 1943618 1944073 1944385 1944488 1946109 1946580 1946780 1947302 1947332 1947432 1947468 1947814 1948153 1948298 1949061 1949433 1949779 1950259 1950337 1950397 1950577 1951309 
##    2.01    2.81    2.80    2.93    2.69    2.90    2.60    2.91    2.64    2.41    2.65    2.41    2.89    2.84    2.78    2.65    2.24    3.00    3.00    2.91    2.92    2.53 
## 1951435 1952399 1952787 1952876 1952991 1953139 1953227 1953489 1953746 1953786 1954388 1955068 1955508 1956040 1957024 1957068 1957617 1957662 1957882 1958494 1958602 1958990 
##    2.69    2.85    2.69    2.41    3.00    2.71    2.48    2.99    2.98    2.72    2.60    2.51    2.70    2.89    2.65    2.87    2.97    2.91    2.87    2.88    2.88    2.67 
## 1959569 1959993 1960382 1960415 1961195 1961268 1961490 1961856 1961913 1963069 1963149 1963176 1963177 1963262 1963293 1963490 1963788 1964429 1964865 1965450 1965839 1966206 
##    2.66    2.90    2.96    2.52    2.66    2.66    2.51    1.88    2.96    2.99    2.43    2.80    2.71    1.66    2.95    2.89    2.73    2.68    2.86    2.68    2.62    2.85 
## 1966309 1966322 1966641 1967474 1967721 1967934 1967982 1968027 1969154 1969775 1969780 1969783 1969814 1970169 1970325 1970642 1970659 1970750 1971205 1971883 1972799 1972942 
##    2.24    2.89    2.49    2.91    2.17    2.89    2.89    2.65    3.00    2.96    1.59    2.80    2.34    2.98    2.91    2.67    2.99    2.37    2.89    2.80    2.58    2.81 
## 1972955 1972961 1973898 1973998 1974075 1974145 1974368 1974599 1974651 1975026 1975033 1975142 1975158 1975363 1976262 1976541 1977468 1978282 1978424 1978438 1978594 1979103 
##    1.58    2.76    2.64    2.47    2.60    2.80    2.69    2.86    2.83    2.82    2.84    2.83    2.98    2.94    2.24    2.82    2.51    2.24    2.97    2.93    2.82    2.88 
## 1979161 1979390 1979443 1979982 1980506 1980601 1980645 1980964 1980970 1981308 1981523 1981584 1981659 1981950 1982022 1982281 1983253 1983557 1984196 1984871 1984964 1985381 
##    2.97    2.76    2.94    2.65    2.33    2.99    2.68    2.63    3.00    3.00    2.14    2.64    2.27    2.98    2.57    2.60    2.93    2.89    2.63    2.47    2.80    2.93 
## 1986212 1986227 1986331 1987315 1987421 1987571 1987594 1987861 1988072 1988125 1988178 1988265 1988694 1990566 1991324 1991453 1991555 1991592 1991814 1992106 1992439 1992902 
##    3.00    2.03    2.94    2.68    2.51    2.76    2.95    2.52    2.86    2.87    2.58    2.85    2.91    2.78    2.50    2.69    2.77    2.40    2.67    2.95    2.96    2.77 
## 1993209 1993287 1994008 1994430 1995106 1996422 1996488 1996675 1997524 1997848 1997890 1997899 1997919 1998347 1998401 1998963 1999236 1999606 1999614 
##    2.74    2.45    2.66    2.86    2.98    2.92    2.71    2.73    2.93    2.77    2.42    2.88    2.46    2.96    2.88    2.78    2.81    2.73    2.54
## [1] "1673515"

Randomization

set.seed(Xmin)
N <- nrow(class_roll.new) 
N_red <- table(class_roll.out$group)[1]
id_red <- sample(1:N, size = 82)
# id_red <- sample(1:N, size = 7)
id_black <- setdiff(1:N, id_red)
class_roll.new$group <- ifelse(1:N %in% id_red, "Red", "Black")
class_roll.new$group <- factor(class_roll.new$group, 
                               levels = c("Red", "Black"))
class_roll.new <- class_roll.new[, c(1:6, 8, 7)]
names(class_roll.stay)[8] <- "mark"
names(class_roll.new)[8] <- "mark"
class_roll <- rbind(class_roll.stay, class_roll.new)

학번

class_roll$id_2 <-
  class_roll$id %>%
  ifelse(. <= 2015, "2015", .)
tbl1 <- class_roll %$%
  table(.$group, .$id_2 %>% substr(1, 4)) %>%
  `colnames<-`(c("2015 이전", 2016:2022)) 
tbl1 %>%
  pander
  2015 이전 2016 2017 2018 2019 2020 2021 2022
Red 10 14 38 63 74 53 131 74
Black 8 16 36 62 74 53 137 71
X1min <- tbl1 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X1min
## X-squared 
## 0.6140069

학번 홀짝

tbl2 <- class_roll$id %>%
  as.numeric %>%
  `%%`(2) %>%
  factor(levels = c(1, 0), labels = c("홀", "짝")) %>%
  table(class_roll$group, .) 
tbl2 %>%
  pander
 
Red 239 218
Black 237 220
X2min <- tbl2 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X2min
##  X-squared 
## 0.01753578

학적 상태

tbl3 <- class_roll$status %>%
  table(class_roll$group, .) 
tbl3 %>%
  pander
  학생 휴학
Red 386 71
Black 387 70
X3min <- tbl3 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X3min
##  X-squared 
## 0.00838586

e-mail 서비스업체

tbl4 <- class_roll$email %>%
  strsplit("@", fixed = TRUE) %>%
  sapply("[", 2) %>%
  `==`("naver.com") %>%
  ifelse("네이버", "기타서비스") %>%
  factor(levels = c("네이버", "기타서비스")) %>%
  table(class_roll$group, .) 
tbl4 %>%
  pander
  네이버 기타서비스
Red 376 81
Black 372 85
X4min <- tbl4 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X4min
## X-squared 
## 0.1177759

전화번호의 분포

cut_label <- paste(paste0(0:9, "000"), paste0(0:9, "999"), 
                   sep = "~")
tbl5 <- class_roll$cell_no %>%
  substr(start = 8, stop = 11) %>%
  sapply(as.numeric) %>%
  cut(labels = cut_label, 
      breaks = seq(0, 10000, by = 1000)) %>%
  table(class_roll$group, .) 
tbl5 %>%
  pander
  0000~0999 1000~1999 2000~2999 3000~3999 4000~4999 5000~5999 6000~6999 7000~7999 8000~8999 9000~9999
Red 42 35 41 50 36 57 48 43 48 57
Black 45 34 40 50 34 59 47 44 48 54
X5min <- tbl5 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X5min
## X-squared 
## 0.3206296

성씨 분포

f_name <- class_roll$name %>%
  substring(first = 1, last = 1) 
tbl6 <- f_name %>%
  `%in%`(c("김", "이", "박")) %>%
  ifelse(f_name, "기타") %>%
  factor(levels = c("김", "이", "박", "기타")) %>%
  table(class_roll$group, .) 
tbl6 %>%
  pander
  기타
Red 82 72 34 269
Black 87 71 34 265
X6min <- tbl6 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X6min
## X-squared 
## 0.1848845

Sum of Chi_Squares

Xsum_min <- X1min + X2min + X3min + X4min + X5min + X6min
Xsum_min
## X-squared 
##  1.263219