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 -0.0456 -0.0135  0.0020  0.1252 -0.0039
## X2 -0.0456  1.0000 -0.0711  0.0035  0.0816 -0.0399
## X3 -0.0135 -0.0711  1.0000  0.0020 -0.0750 -0.0208
## X4  0.0020  0.0035  0.0020  1.0000 -0.0059  0.0047
## X5  0.1252  0.0816 -0.0750 -0.0059  1.0000 -0.0356
## X6 -0.0039 -0.0399 -0.0208  0.0047 -0.0356  1.0000
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1.28    5.98    7.27    7.43    8.71   20.15
## [1] 2.03
## 4000032 4000215 4000486 4000724 4000808 4001222 4002208 4002401 4002490 4002505 4002767 4002910 4003150 4003157 4003162 4003335 4003415 4003617 4004529 4004626 4004840 4004924 
##    2.44    2.75    2.95    2.63    2.99    2.84    2.47    2.94    2.85    2.92    2.85    3.00    2.39    2.61    2.83    2.54    2.98    2.48    2.25    2.91    2.65    2.54 
## 4005088 4005662 4006081 4006739 4007241 4007264 4007623 4007771 4008056 4008118 4008204 4008996 4009131 4009212 4009352 4009634 4009694 4009748 4009974 4010289 4010419 4011615 
##    2.92    2.59    2.56    2.95    2.77    2.75    3.00    2.30    2.91    2.81    2.02    2.95    2.76    2.45    2.87    1.80    2.35    2.58    2.75    2.70    2.35    2.86 
## 4011850 4012111 4012189 4012246 4012343 4012520 4012746 4012977 4013111 4013181 4013302 4013734 4014110 4014111 4014223 4014417 4014890 4015252 4015397 4015623 4016451 4017790 
##    2.93    2.94    2.85    2.16    2.07    2.50    2.93    2.72    2.35    2.89    2.44    2.57    2.97    2.84    2.75    2.86    2.61    2.33    2.91    2.69    2.61    2.90 
## 4019511 4019813 4020083 4020122 4020274 4020846 4021513 4021743 4022271 4022567 4023047 4023141 4023301 4023639 4023809 4023822 4024922 4024934 4024962 4025072 4025275 4025521 
##    2.64    2.97    2.87    2.10    2.49    2.83    2.56    2.29    2.90    2.93    2.08    2.73    2.64    2.77    2.91    2.72    2.95    2.72    2.99    2.64    2.96    3.00 
## 4026043 4027278 4028240 4028639 4028957 4029199 4029476 4029514 4029569 4029981 4030752 4030753 4031523 4031593 4031737 4031787 4032180 4033077 4033493 4033891 4034426 4034525 
##    2.96    2.47    2.83    2.30    2.96    2.00    2.59    2.67    2.74    2.70    2.24    2.11    2.49    2.76    2.68    2.58    2.63    2.72    2.92    2.75    2.91    2.93 
## 4034898 4035271 4035495 4035795 4036004 4036410 4036487 4036571 4037003 4037314 4037560 4037749 4038485 4038509 4038880 4039148 4039420 4039839 4039891 4040001 4040088 4040138 
##    2.60    1.70    2.93    2.38    2.57    2.99    2.19    2.72    2.98    2.78    2.59    2.87    2.32    2.87    2.39    2.67    2.63    2.98    3.00    2.83    2.90    2.90 
## 4040898 4041338 4042212 4042678 4042825 4043847 4043883 4044552 4044997 4046018 4046039 4046041 4046253 4046996 4047003 4047399 4047438 4047824 4048461 4048540 4049094 4049101 
##    2.42    2.64    2.52    2.80    2.95    2.97    2.92    2.91    2.95    2.85    2.77    2.94    2.60    2.80    2.50    2.34    3.00    2.38    2.93    2.59    2.99    1.68 
## 4049287 4049428 4050415 4050847 4051244 4051497 4051840 4051959 4052397 4054227 4054642 4054750 4055194 4055329 4055338 4056083 4056190 4056313 4056952 4057258 4057397 4057720 
##    2.99    2.73    2.71    2.64    2.43    2.92    2.37    2.84    2.53    2.60    2.81    2.86    2.75    2.40    2.88    2.40    1.78    1.95    2.89    3.00    2.79    2.79 
## 4057755 4057888 4057974 4058080 4058522 4058824 4059399 4059660 4060219 4060652 4061106 4061381 4061661 4062033 4062082 4062263 4062660 4062925 4063084 4063632 4064132 4064139 
##    2.92    2.53    2.76    2.69    2.49    2.70    2.86    2.71    2.69    2.97    2.52    2.85    2.52    2.84    2.82    2.53    1.89    2.77    2.66    2.62    2.94    2.96 
## 4064511 4064600 4064681 4064697 4064813 4065150 4065651 4066178 4066265 4066267 4066380 4066439 4067617 4067619 4067846 4068193 4068231 4069121 4069201 4069433 4069552 4069618 
##    2.58    2.95    2.96    2.89    2.96    2.94    2.88    2.91    2.78    2.87    2.56    2.97    2.70    2.95    2.99    2.83    2.89    2.86    2.66    2.79    2.89    2.68 
## 4069652 4069938 4069999 4070118 4070122 4070172 4070882 4071562 4071629 4071637 4071808 4071892 4072375 4072470 4072759 4073755 4073819 4074040 4074624 4074986 4075931 4076030 
##    2.92    2.96    2.84    2.74    2.57    2.51    2.27    2.87    2.28    2.91    2.73    2.43    2.86    2.76    2.99    2.35    2.70    2.20    2.86    2.79    2.93    2.76 
## 4076157 4076705 4076736 4077164 4078257 4078260 4078708 4079124 4079660 4079939 4080260 4080300 4080543 4081951 4082042 4082479 4083057 4083175 4084146 4084986 4085311 4085377 
##    2.72    2.44    2.25    2.88    2.95    2.93    2.97    2.98    2.74    2.75    2.23    2.94    2.63    1.90    1.57    2.75    2.97    2.79    2.53    2.64    2.98    2.65 
## 4086082 4086242 4086617 4087095 4087153 4087421 4087484 4087557 4087811 4087894 4088107 4088494 4088585 4088961 4089251 4089297 4089752 4090244 4090361 4090797 4090914 4091038 
##    2.88    2.95    2.24    2.92    2.99    2.60    2.83    2.92    2.88    2.56    2.73    2.23    2.98    2.75    2.72    2.81    2.12    2.60    2.60    3.00    2.34    2.37 
## 4091216 4091406 4091623 4091801 4092019 4092347 4092529 4092588 4092934 4093233 4093481 4093823 4094870 4095357 4095709 4095721 4095764 4095826 4096311 4096359 4096423 4097282 
##    2.81    1.63    2.78    2.48    2.54    2.06    2.74    2.61    2.61    2.29    2.84    2.49    2.95    2.85    2.64    3.00    2.81    3.00    2.95    2.68    2.82    2.94 
## 4097800 4097880 4098306 4098723 4099548 4099790 4100361 4100405 4100540 4102559 4102912 4102939 4103124 4103246 4103379 4103723 4103790 4104280 4104474 4104684 4104690 4105112 
##    2.95    2.76    2.89    2.66    2.92    2.91    2.98    2.37    2.86    2.97    2.34    2.85    2.74    2.36    2.93    2.94    2.23    2.39    2.99    2.92    2.88    2.94 
## 4105427 4105540 4106041 4106254 4106744 4106893 4107040 4107234 4107311 4107526 4107797 4107813 4107865 4108022 4108219 4108648 4108677 4108739 4108798 4109291 4109443 4110122 
##    2.93    2.87    2.20    2.34    2.72    2.77    2.92    2.49    2.74    2.95    2.93    2.47    2.29    2.97    2.90    2.86    2.44    2.41    2.67    2.84    2.89    2.97 
## 4110230 4110330 4110440 4110493 4110929 4110993 4111234 4111308 4111377 4112315 4112321 4112420 4112513 4112521 4113339 4113561 4113674 4113839 4114009 4114349 4114399 4115077 
##    2.92    2.83    2.98    2.94    2.47    1.73    2.98    2.77    2.86    2.95    2.54    2.45    2.36    2.72    1.89    2.82    2.74    2.29    2.19    2.37    2.78    2.70 
## 4115183 4115453 4116310 4116458 4116583 4117010 4117324 4117548 4117730 4117743 4117781 4117887 4117997 4118053 4118061 4118078 4118125 4118130 4118416 4119185 4119663 4120221 
##    2.86    2.66    2.34    2.99    2.96    2.97    2.80    2.64    2.84    2.80    2.31    2.56    2.43    2.33    1.99    2.96    2.69    2.83    2.26    2.35    2.93    2.94 
## 4121559 4121630 4121829 4121922 4121990 4122126 4122169 4122574 4123036 4123068 4123208 4124067 4124365 4124368 4124385 4124453 4124473 4125827 4125939 4126277 4126497 4126540 
##    2.75    3.00    2.84    2.51    2.88    2.84    2.64    2.90    2.99    2.84    2.46    2.89    2.97    2.35    1.93    2.81    3.00    2.13    2.88    1.70    2.94    2.93 
## 4126730 4126866 4126879 4127380 4127901 4128123 4128507 4128680 4129151 4129344 4129678 4129910 4130096 4130456 4130847 4130848 4130945 4131058 4131366 4131917 4131948 4131977 
##    2.71    2.95    2.79    2.34    2.43    2.41    2.23    1.65    2.95    2.29    2.87    2.66    2.77    2.88    2.99    2.89    3.00    2.19    2.93    2.86    2.92    2.83 
## 4132176 4132867 4133013 4133037 4133227 4133326 4134349 4134626 4134942 4134971 4134979 4135022 4135085 4135598 4135701 4136234 4136761 4137333 4137701 4137721 4138086 4138226 
##    2.94    2.81    2.86    3.00    2.72    2.92    2.97    2.83    2.72    2.52    2.91    1.80    2.86    1.32    2.77    3.00    2.81    2.98    2.97    3.00    2.42    2.92 
## 4138357 4138684 4139423 4140203 4140551 4140658 4140744 4140968 4141211 4142234 4142514 4143428 4143483 4143642 4144168 4144314 4144530 4144695 4144702 4144827 4144848 4145062 
##    2.84    2.98    2.07    2.61    2.86    2.94    2.78    2.90    2.47    2.21    2.94    2.93    2.90    2.89    2.80    2.96    2.74    2.73    2.91    2.53    2.50    2.80 
## 4145564 4145734 4145915 4145969 4146268 4146270 4146456 4147288 4147415 4148042 4148178 4148481 4148563 4149162 4149342 4149623 4149851 4150058 4150337 4150371 4150711 4150964 
##    2.82    1.28    2.43    2.11    2.56    2.61    2.90    2.39    2.73    2.60    2.39    2.98    2.81    2.52    2.31    2.97    2.31    2.86    2.94    2.83    1.62    2.92 
## 4151269 4152079 4152198 4152273 4152588 4152913 4153035 4153174 4153684 4153797 4154527 4154536 4154834 4154920 4155228 4155241 4155465 4155544 4155651 4156139 4156642 4156862 
##    2.45    2.91    2.96    2.64    2.83    2.92    2.44    1.98    2.74    2.33    2.47    2.94    2.67    2.78    2.21    2.68    2.94    2.64    2.39    2.92    2.82    2.66 
## 4158195 4158365 4158588 4158732 4158750 4159099 4159313 4159594 4159946 4160049 4160221 4160490 4160942 4161078 4161214 4161607 4161906 4162008 4162137 4162353 4162364 4162859 
##    2.96    2.90    2.73    2.23    2.73    2.48    2.86    2.93    2.87    2.41    2.34    2.11    2.98    2.71    2.88    2.98    2.86    2.85    2.77    2.87    2.86    2.94 
## 4162999 4163148 4163622 4163685 4163919 4165074 4165128 4165317 4165434 4165522 4166415 4167176 4167334 4167733 4167801 4167886 4167967 4168074 4168380 4169498 4169872 4169901 
##    2.85    2.53    2.48    2.79    2.96    2.84    2.95    2.82    2.88    2.75    2.76    2.59    1.46    2.86    2.69    2.97    2.63    2.83    2.85    2.86    2.84    2.86 
## 4169929 4170368 4170397 4170586 4170633 4172229 4172709 4172804 4172890 4172967 4173233 4173243 4173440 4173571 4173630 4174151 4174200 4174505 4174513 4174733 4175079 4175588 
##    2.94    2.81    2.67    2.31    2.87    2.94    2.48    2.56    2.39    2.75    2.82    2.79    2.64    2.73    2.54    2.98    2.97    2.75    2.82    2.06    2.78    2.47 
## 4176629 4176695 4177584 4177838 4177886 4178243 4178437 4178602 4179387 4179498 4179788 4180179 4180518 4180725 4181313 4181532 4181627 4181899 4182236 4182241 4182343 4182432 
##    2.85    2.97    2.93    2.67    2.37    2.97    2.99    2.65    2.90    2.67    1.90    2.99    2.94    2.52    2.77    2.85    2.83    2.99    2.96    2.89    2.70    2.90 
## 4182984 4183049 4183545 4183659 4183763 4183888 4184011 4184302 4184562 4184964 4185508 4185944 4186508 4186711 4186872 4187080 4187282 4187475 4187539 4187678 4187913 4188194 
##    2.61    2.98    2.63    2.58    2.77    2.77    2.94    2.63    2.25    2.38    2.94    2.88    2.41    3.00    2.84    2.47    2.92    2.99    2.79    2.66    2.38    2.83 
## 4188216 4188346 4188497 4188578 4188841 4189098 4189099 4189114 4189387 4189478 4189732 4189996 4190314 4191728 4191856 4192462 4192687 4192963 4194309 4194342 4194710 4194989 
##    2.87    2.74    2.83    2.67    2.53    2.89    2.78    2.29    2.97    2.36    2.88    2.17    1.94    2.64    2.99    2.57    2.92    2.66    2.94    2.75    2.93    2.52 
## 4195631 4195686 4196076 4196275 4196506 4196657 4196684 4196799 4196962 4197457 4197545 4197892 4198308 4198870 4199132 4199425 4199797 4200062 4200150 4200422 4201101 4201860 
##    2.76    2.71    2.36    2.17    2.96    2.03    2.89    2.85    2.63    2.93    2.65    2.56    2.91    2.83    2.82    2.76    2.40    2.22    2.94    2.86    2.43    2.53 
## 4202606 4204119 4204451 4205163 4205644 4205719 4207196 4207696 4207750 4208742 4208769 4208913 4209106 4209548 4209752 4210179 4210571 4210696 4210736 4210763 4211075 4211204 
##    2.76    2.95    2.93    2.89    2.87    2.76    2.88    2.76    2.75    2.86    2.93    2.90    2.52    2.95    2.03    1.99    2.93    2.45    2.93    2.98    2.58    2.57 
## 4211350 4211663 4212305 4212310 4212917 4213006 4213017 4213483 4214228 4215254 4215855 4215919 4215934 4216009 4216047 4216441 4216639 4216908 4216949 4217346 4217363 4217947 
##    2.95    2.57    2.75    2.51    2.84    2.43    2.65    2.90    2.93    2.66    2.95    1.69    2.30    2.75    2.88    2.19    2.69    2.41    2.98    2.74    2.77    2.68 
## 4217973 4218253 4218410 4218536 4219314 4219683 4220119 4220502 4220976 4221177 4221486 4221578 4221687 4221689 4221798 4221825 4221839 4221844 4222586 4223226 4224194 4224619 
##    2.73    2.34    2.84    2.80    2.88    2.97    2.33    2.73    2.58    3.00    1.55    2.69    2.46    2.62    2.52    2.69    2.83    2.43    3.00    2.65    2.81    2.81 
## 4224843 4224852 4225767 4225913 4226049 4226113 4226921 4226992 4227106 4227855 4228110 4228231 4228264 4228461 4228786 4229707 4231001 4231463 4231596 4231728 4232657 4233063 
##    1.54    2.90    2.49    2.43    2.38    2.94    2.88    2.63    2.68    2.96    2.69    2.84    3.00    2.96    2.86    2.88    2.98    2.85    2.80    2.70    2.77    2.46 
## 4233307 4233785 4234132 4234504 4234795 4235428 4235936 4236238 4237702 4238862 4239319 4239809 4239978 4240125 4240183 4240203 4240841 4241224 4241365 4241502 4241647 4241705 
##    2.89    2.91    2.92    2.72    2.30    2.47    2.85    2.75    2.96    2.43    2.80    2.88    2.92    2.88    2.77    2.75    2.78    2.65    2.80    2.72    2.64    2.97 
## 4241746 4241857 4241967 4242054 4242142 4242300 4242307 4242367 4242883 4243292 4243756 4244092 4244388 4244410 4245288 4245428 4246180 4246202 4246283 4246445 4246459 4246965 
##    2.76    2.46    2.92    2.46    3.00    2.84    2.59    2.90    2.79    2.44    2.49    2.43    2.87    2.84    2.98    2.97    2.39    2.85    2.26    2.80    2.49    2.87 
## 4247547 4247665 4247916 4248103 4248160 4248483 4248524 4248940 4249107 4249536 4249632 4249766 4249876 4250224 4250650 4250933 4251083 4251232 4251673 4251806 4251933 4252627 
##    2.82    2.72    2.77    2.78    2.98    2.86    2.97    2.98    2.60    2.33    2.63    2.71    2.66    2.69    2.78    2.82    2.97    2.77    2.40    3.00    2.69    2.35 
## 4252797 4253263 4253479 4253580 4253934 4254719 4254789 4254889 4255152 4255544 4256114 4256472 4256586 4256837 4257627 4258478 4258742 4258836 4259327 4259364 4259752 4259886 
##    2.96    2.84    2.33    2.84    2.44    2.70    2.50    2.89    2.84    1.29    2.96    2.51    2.94    2.65    2.46    2.82    2.89    2.80    2.72    2.93    2.67    2.57 
## 4260729 4260975 4261350 4261540 4261612 4261952 4262363 4262452 4262590 4263894 4264065 4264650 4264741 4265840 4266036 4266211 4267134 4267157 4267229 4267544 4267840 4267957 
##    2.78    2.54    2.90    2.89    2.87    2.31    2.58    2.12    2.40    2.34    2.95    3.00    2.54    2.39    2.98    2.72    1.56    2.91    2.75    2.84    2.98    2.22 
## 4268401 4268735 4268865 4269116 4269209 4270100 4270527 4270567 4270573 4270588 4270732 4270947 4271443 4271717 4271973 4272091 4272168 4272272 4272437 4272567 4272801 4273084 
##    2.98    2.92    2.86    2.82    2.74    2.71    2.99    2.50    2.79    2.62    2.79    2.90    2.85    2.81    2.77    2.97    2.33    2.66    2.56    2.66    2.05    2.57 
## 4273103 4273148 4273308 4273401 4273609 4274100 4274218 4274376 4275484 4275540 4275606 4275669 4275719 4275761 4276543 4277047 4277085 4277134 4277169 4277364 4277398 4277853 
##    2.88    2.51    2.83    2.25    2.79    2.89    2.79    2.84    2.02    2.49    2.30    2.31    1.94    2.97    2.92    2.77    2.77    2.81    2.93    2.36    2.51    2.88 
## 4278027 4278719 4278976 4279677 4279745 4279800 4280337 4280555 4280654 4281035 4281051 4281102 4281882 4282145 4282690 4282863 4282991 4283122 4283199 4283305 4283492 4283682 
##    2.86    2.89    2.67    2.98    2.57    2.45    2.59    2.85    2.47    2.74    2.89    2.89    2.96    2.14    2.58    2.94    2.20    2.09    2.30    2.98    2.67    2.63 
## 4284307 4284325 4284420 4284459 4285241 4285260 4285276 4285476 4285626 4285868 4286237 4286831 4286851 4287155 4287299 4287334 4288166 4288170 4288193 4288256 4288626 4288716 
##    2.72    2.46    2.23    2.77    2.94    2.59    2.99    2.64    2.61    2.28    2.82    2.71    2.80    2.77    2.88    2.47    2.78    2.84    2.81    2.42    2.85    2.79 
## 4288740 4289006 4289237 4289770 4289937 4290617 4291078 4291216 4291256 4292080 4292136 4292217 4293206 4293482 4293731 4293749 4294598 4294728 4295201 4295295 4295465 4295497 
##    1.80    2.77    2.86    2.97    2.94    2.56    2.38    2.58    2.39    2.68    2.86    2.96    2.66    2.87    2.65    2.44    2.92    2.66    2.94    2.33    2.04    2.78 
## 4295528 4295658 4295799 4295910 4296218 4296251 4296311 4296909 4296938 4297671 4298131 4298514 4298607 4298792 4299919 4299995 4300575 4300688 4300878 4300931 4301258 4301607 
##    2.87    2.50    2.28    2.49    2.82    2.99    2.83    2.47    2.88    2.84    2.95    2.83    2.52    2.92    2.98    2.14    2.82    1.89    2.87    2.60    2.61    2.59 
## 4301901 4301981 4302288 4302496 4302786 4302821 4303052 4303367 4303491 4303524 4303554 4303738 4303802 4304081 4304159 4304516 4304655 4305020 4305418 4305761 4305807 4305907 
##    2.96    2.94    2.75    2.95    2.73    2.95    2.94    2.89    2.49    2.61    2.76    2.82    2.15    2.81    2.92    2.67    2.65    2.71    2.77    2.48    2.80    2.79 
## 4306004 4306131 4306405 4306895 4307063 4307211 4307352 4308205 4308216 4308229 4308720 4308872 4309845 4310176 4310387 4310751 4310997 4311093 4311419 4311563 4311752 4311956 
##    2.82    2.76    2.59    2.89    2.38    2.85    2.70    2.88    1.95    2.31    2.78    2.68    2.35    2.98    2.98    2.82    2.67    2.77    2.49    2.85    2.93    2.54 
## 4312012 4312037 4312697 4312781 4312997 4313054 4314065 4315208 4315666 4315929 4316006 4316273 4316619 4317198 4317244 4317851 4318294 4318621 4318930 4319296 4319516 4320027 
##    2.96    2.93    2.57    2.50    2.84    2.46    2.46    2.93    2.08    2.82    2.61    2.78    2.82    2.16    2.98    2.45    2.70    2.89    2.73    2.76    2.99    2.96 
## 4320612 4320645 4320905 4320989 4320992 4321073 4321221 4321585 4321794 4321829 4322050 4322782 4323185 4323314 4323322 4323347 4323442 4323670 4323861 4324186 4325068 4325346 
##    2.64    2.76    2.81    2.84    2.54    2.90    2.86    2.85    2.76    2.60    2.90    2.71    2.15    2.98    2.81    2.88    2.54    2.91    2.68    2.81    2.78    2.97 
## 4325637 4325929 4326414 4326549 4326653 4326719 4327550 4327627 4327697 4327872 4328687 4328873 4329043 4329836 4329929 4330039 4330392 4330830 4331548 4331721 4332417 4332998 
##    2.93    2.89    2.38    2.69    2.83    2.28    2.23    2.60    2.97    2.66    2.54    2.97    2.90    2.33    2.96    2.04    2.99    2.65    2.46    2.93    2.23    2.80 
## 4333756 4333915 4333982 4334239 4334965 4335249 4335856 4336027 4337042 4337151 4337630 4337838 4339250 4340296 4340486 4340873 4341022 4341734 4342034 4342492 4342997 4343050 
##    2.70    2.74    2.22    2.62    2.66    2.98    2.79    2.84    2.74    2.61    2.74    2.85    2.09    2.61    2.70    2.68    2.90    2.96    2.78    2.42    2.70    2.91 
## 4343201 4343459 4343941 4344198 4344680 4344727 4344808 4344814 4345894 4346014 4346106 4346165 4346936 4347036 4347817 4347882 4347955 4348930 4349007 4349181 4349273 4350302 
##    2.84    2.32    2.67    2.99    2.89    2.95    2.98    2.65    2.76    2.11    2.84    2.86    2.39    2.95    2.68    2.85    2.88    2.37    2.89    2.98    2.13    2.55 
## 4350505 4351305 4351369 4351728 4351773 4351824 4351864 4352441 4352832 4352905 4353035 4353185 4353251 4354704 4354728 4355551 4355610 4355621 4356297 4356459 4356798 4356912 
##    2.94    2.71    2.97    2.98    2.90    2.74    2.17    2.90    2.97    2.64    2.96    2.96    2.74    2.74    2.65    1.97    2.69    2.87    2.89    2.39    2.86    2.57 
## 4357666 4357682 4357912 4358064 4358699 4358747 4359088 4359123 4359441 4359634 4359788 4360216 4360375 4360939 4360986 4361323 4361470 4361632 4361656 4361682 4361687 4361778 
##    2.76    2.78    2.82    2.92    2.67    2.97    2.72    2.67    2.71    2.61    1.86    2.45    2.52    2.75    2.57    2.95    2.62    2.81    2.93    2.98    2.93    2.25 
## 4362138 4362192 4362340 4362675 4363298 4363425 4363739 4363759 4363798 4364746 4365170 4365197 4365284 4365654 4365720 4365806 4365955 4365986 4366161 4366162 4366798 4367013 
##    2.84    2.66    1.63    2.79    2.98    2.19    2.32    2.94    2.11    2.63    2.98    2.32    2.88    2.97    2.23    2.31    2.55    2.96    2.75    2.85    2.74    2.73 
## 4367590 4368125 4368788 4368985 4369020 4369652 4369694 4369856 4369861 4369907 4370205 4371284 4371539 4371565 4371715 4371940 4371947 4372441 4373182 4373247 4374106 4374363 
##    2.87    2.21    2.71    2.71    2.86    2.46    2.54    2.34    2.69    2.97    2.92    2.84    2.85    2.46    2.97    2.64    2.65    2.96    2.79    2.48    2.87    2.51 
## 4374465 4374736 4375399 4376339 4376491 4376598 4376674 4376957 4377425 4378061 4378069 4378234 4378830 4378914 4379147 4379257 4379564 4379703 4379757 4380207 4380230 4380341 
##    2.59    2.36    2.34    2.32    2.85    2.69    2.86    2.47    2.78    2.25    2.71    2.55    2.84    2.96    2.28    2.99    2.16    2.95    2.30    2.67    2.63    2.97 
## 4380666 4381456 4382330 4382469 4382998 4383408 4383638 4384243 4384470 4384673 4384742 4385470 4385551 4386129 4387100 4387291 4387679 4388075 4388347 4388469 4388543 4388776 
##    2.29    2.04    2.64    2.78    2.92    2.63    2.61    2.92    2.98    2.75    2.68    2.81    2.81    2.73    2.67    2.15    2.88    2.96    2.95    2.72    2.93    2.64 
## 4388876 4389254 4389515 4389784 4390192 4390842 4391366 4391741 4392021 4392229 4392476 4392543 4393060 4393187 4393226 4393521 4393692 4393752 4393952 4393993 4394150 4394201 
##    2.15    2.70    2.94    2.73    2.72    2.73    2.86    2.95    2.79    2.61    2.19    2.84    2.77    2.53    2.88    2.67    2.92    2.97    2.75    2.61    2.89    2.91 
## 4394484 4394580 4394690 4394786 4395113 4395737 4395962 4397114 4397349 4397843 4398423 4398426 4398918 4398982 4399028 4399324 4399839 4400366 4400409 4400940 4401143 4401334 
##    2.91    2.45    2.97    2.86    2.80    2.90    2.61    2.70    2.36    2.91    2.37    2.82    2.83    2.93    2.40    2.70    2.74    2.93    2.46    2.71    2.99    2.54 
## 4401617 4401694 4401824 4401918 4402058 4402274 4402315 4402661 4403279 4403359 4403635 4403783 4403959 4404270 4404437 4404797 4404868 4404939 4405056 4405406 4405507 4405640 
##    2.84    2.89    2.48    2.99    2.99    2.97    2.91    2.76    2.98    3.00    1.96    2.49    2.92    2.89    2.90    2.63    2.47    2.99    2.49    2.64    2.93    2.31 
## 4406178 4406226 4406473 4406486 4406512 4407388 4407605 4407618 4407987 4408293 4409143 4409158 4409243 4409340 4409989 4410193 4410255 4410939 4411001 4411101 4411107 4411123 
##    2.54    2.17    2.85    2.84    2.21    2.75    2.97    2.66    2.59    2.10    2.98    2.09    2.86    2.64    2.99    2.71    2.83    2.97    2.91    2.71    2.82    2.91 
## 4411396 4411529 4411675 4411805 4412261 4412494 4412753 4412956 4413225 4413352 4413508 4413571 4413718 4413982 4414127 4414854 4414885 4414982 4415389 4415659 4415869 4415969 
##    2.86    2.62    2.51    2.93    2.75    2.56    2.56    2.89    2.93    2.74    2.99    2.41    2.68    2.87    2.92    2.90    2.81    2.82    2.64    2.71    3.00    2.97 
## 4416331 4416867 4417224 4417623 4417993 4418458 4418541 4418577 4418724 4419332 4420070 4420143 4420251 4420377 4421075 4421467 4421799 4421900 4422836 4422942 4423786 4423991 
##    2.71    2.64    2.00    2.98    2.57    2.93    2.98    2.91    2.98    2.73    2.60    2.82    2.48    2.91    2.03    2.56    2.78    2.16    2.94    2.63    2.78    2.78 
## 4424147 4424291 4424318 4424415 4424507 4424636 4425169 4425815 4425848 4426128 4426380 4426823 4426997 4427373 4428561 4428830 4428986 4429206 4429359 4429440 4429445 4429514 
##    2.85    2.97    2.38    2.34    2.49    2.59    2.89    2.81    1.55    2.25    2.56    2.97    2.40    2.50    2.43    2.89    2.76    2.90    2.89    2.65    2.51    2.50 
## 4429620 4429828 4430280 4430284 4430637 4430779 4431005 4431066 4431220 4431239 4431654 4432564 4432776 4433218 4433572 4433653 4433754 4433849 4434075 4434380 4434411 4435413 
##    2.60    2.88    2.96    2.80    2.94    2.10    2.83    2.86    2.87    2.60    2.92    2.97    2.71    2.99    2.73    2.56    2.99    2.57    2.79    2.27    2.69    2.85 
## 4435965 4436003 4437355 4437591 4438384 4438628 4438718 4438948 4439042 4439295 4439734 4439898 4440079 4440484 4441845 4442113 4442936 4442965 4443333 4443608 4443836 4444323 
##    2.94    1.64    2.66    2.19    2.99    2.82    2.35    2.51    2.91    2.92    1.65    2.70    2.43    2.52    2.68    2.21    2.66    2.86    2.82    2.50    2.85    2.35 
## 4444701 4445223 4445256 4445317 4445752 4446135 4446358 4446850 4447763 4448213 4448359 4448944 4449507 4450826 4450914 4451230 4451693 4451760 4452428 4452764 4452778 4452891 
##    2.39    2.83    2.39    2.93    2.81    2.19    2.89    1.99    2.64    2.70    2.22    2.90    2.72    2.80    2.10    2.88    2.73    2.94    2.62    2.91    2.70    3.00 
## 4453185 4453262 4453583 4453899 4455192 4455263 4455278 4455419 4455594 4455872 4456430 4456615 4456733 4456833 4457165 4457684 4457763 4458246 4459155 4459563 4461023 4462032 
##    2.32    2.81    2.55    2.74    2.32    2.82    2.75    2.96    2.94    2.41    2.82    2.85    2.97    2.98    2.86    2.98    2.66    2.37    2.58    2.78    2.97    2.82 
## 4462279 4462329 4462349 4462415 4462997 4463539 4463716 4464250 4464449 4464670 4464807 4465971 4466349 4467225 4467575 4468238 4468314 4468316 4468395 4468944 4469096 4469783 
##    2.89    2.29    2.83    2.54    2.93    2.70    2.25    2.87    2.46    2.63    2.85    2.96    2.58    2.87    2.01    2.68    2.92    2.96    2.78    2.91    2.31    2.46 
## 4469915 4470093 4470653 4470671 4470788 4470863 4471227 4471230 4471338 4471416 4471478 4471693 4471926 4471964 4472417 4472755 4473106 4473165 4473916 4474710 4474740 4474773 
##    2.39    2.89    2.75    2.59    2.86    2.82    2.91    1.88    2.95    1.81    2.63    1.69    2.49    2.76    2.46    2.75    2.82    2.39    2.90    2.91    2.82    1.95 
## 4475238 4475366 4476070 4476616 4477645 4477677 4477711 4478277 4478385 4479291 4479370 4479548 4481415 4482297 4482419 4483557 4484426 4484747 4484948 4485206 4485902 4486217 
##    2.98    2.78    2.20    2.66    2.47    2.98    2.87    2.62    2.90    2.98    2.51    2.81    2.46    2.60    2.41    2.94    2.38    2.73    1.92    2.61    2.62    2.81 
## 4486267 4486937 4487729 4487795 4487913 4487944 4488444 4488487 4488723 4488779 4489312 4489346 4489605 4490108 4490228 4490672 4490810 4491143 4491559 4491586 4491693 4492494 
##    2.87    2.95    2.71    2.46    2.32    2.90    2.72    2.50    2.66    2.64    2.76    2.79    1.99    2.63    2.97    2.72    2.97    2.59    2.84    2.98    2.73    2.64 
## 4492636 4493235 4493363 4493859 4495165 4495241 4495514 4495879 4496016 4496744 4497611 4497837 4498235 4498416 4498543 4498776 4499237 4499238 4499646 4499695 4500069 4500105 
##    2.60    2.91    2.82    2.85    2.46    2.49    2.50    2.97    2.38    2.84    1.73    2.18    2.34    2.58    2.86    2.15    2.99    2.89    2.93    2.11    2.93    2.98 
## 4500111 4500133 4500217 4500723 4500836 4500866 4500921 4500972 4501896 4501970 4502209 4502378 4502604 4502680 4503473 4504156 4504429 4505011 4505444 4506057 4506122 4506211 
##    2.46    2.71    2.64    2.92    2.57    1.82    2.91    2.95    2.71    2.93    2.96    2.10    2.48    2.24    2.89    2.70    2.82    2.96    2.82    2.60    2.67    2.94 
## 4506653 4508192 4508404 4508475 4508557 4508755 4509625 4509751 4509876 4510293 4510427 4510866 4511057 4511113 4511273 4511616 4511721 4511731 4513146 4513475 4514398 4514606 
##    2.15    2.98    2.88    2.70    2.16    2.55    2.93    2.96    2.66    1.99    2.91    2.93    2.83    2.74    2.92    2.92    2.60    2.44    2.85    2.61    2.50    2.48 
## 4515410 4516192 4516260 4516447 4516455 4517352 4517361 4517546 4517671 4517919 4518365 4518442 4518956 4518992 4519887 4519972 4520203 4520550 4520558 4520710 4520776 4521040 
##    2.70    2.23    2.08    2.93    2.94    2.37    2.85    2.85    2.82    2.73    2.93    2.76    2.56    2.85    2.27    2.42    2.86    2.96    2.80    2.88    2.25    2.60 
## 4521115 4521281 4521635 4521887 4522517 4522885 4522906 4523029 4523193 4523258 4523692 4523762 4523858 4523990 4524004 4524147 4524257 4524270 4524308 4524444 4525049 4525607 
##    2.68    2.99    2.67    2.23    2.65    2.89    2.81    2.98    2.84    2.96    2.39    2.51    2.83    2.68    2.85    2.57    2.90    2.81    2.87    2.60    2.84    2.92 
## 4525635 4525920 4525983 4526220 4526292 4526586 4527146 4527258 4527549 4527687 4527739 4527763 4528016 4528557 4528598 4528831 4529064 4529813 4530634 4530754 4530904 4530976 
##    2.74    2.78    2.80    2.51    2.74    2.51    2.67    2.96    2.65    2.90    2.83    2.84    2.97    2.20    2.81    2.38    2.49    2.56    2.93    1.98    2.86    2.27 
## 4531105 4531393 4531948 4532513 4532784 4533002 4533217 4533459 4533993 4534332 4534708 4534816 4534907 4535062 4535129 4535779 4535792 4536029 4536038 4536040 4536492 4537305 
##    2.74    2.66    2.91    2.74    2.89    2.69    2.91    2.87    2.76    2.68    2.77    2.67    2.78    2.93    2.20    2.79    2.97    2.16    2.79    2.58    2.28    2.86 
## 4537703 4537855 4538104 4538240 4538299 4538644 4539259 4539380 4539742 4539801 4539879 4539885 4540884 4541483 4541488 4541863 4542326 4542664 4543038 4543039 4543055 4543472 
##    2.70    2.76    2.91    2.73    2.72    2.85    2.97    2.99    2.77    2.78    2.10    2.76    2.90    2.96    2.85    2.88    2.84    2.85    2.93    2.52    2.18    2.85 
## 4543687 4543825 4543966 4544675 4544729 4544907 4545540 4545814 4545887 4546077 4546309 4546314 4546754 4547212 4547249 4547336 4547401 4547437 4547445 4548041 4548403 4548656 
##    2.43    2.96    2.82    2.72    2.85    2.88    2.76    2.58    3.00    2.84    2.97    2.87    2.22    2.13    2.68    2.13    2.87    2.89    2.67    2.87    2.88    2.68 
## 4549191 4549636 4549657 4549756 4549816 4550085 4550105 4550737 4551017 4551198 4551199 4551342 4551475 4552061 4552171 4552178 4552201 4552255 4552451 4552497 4552961 4553065 
##    2.92    2.23    2.95    2.95    2.86    2.71    2.95    2.21    2.31    2.96    2.78    2.62    2.22    2.96    2.99    2.25    2.72    2.96    2.39    2.38    2.52    2.99 
## 4553358 4553820 4553865 4553918 4554005 4554740 4554958 4555179 4555339 4555388 4555526 4555917 4556148 4556412 4556512 4556641 4556997 4557088 4557186 4557507 4557608 4557857 
##    2.89    2.40    2.63    2.92    2.28    2.64    2.90    3.00    2.91    2.10    2.68    2.12    2.98    2.78    1.81    2.99    2.76    2.43    2.83    2.90    2.89    2.99 
## 4558788 4559718 4559754 4559899 4560111 4560150 4561161 4561241 4561292 4561516 4561789 4561987 4562000 4562104 4562536 4562777 4562906 4563660 4564019 4564062 4564547 4564952 
##    2.80    2.97    2.57    2.72    2.59    2.29    2.20    2.91    2.06    2.67    2.20    2.97    2.81    2.72    2.91    2.84    1.98    2.05    2.88    2.37    2.76    2.95 
## 4565288 4565293 4565495 4565513 4566637 4566716 4566742 4567953 4568409 4568822 4568972 4569042 4569076 4569280 4569353 4569500 4569882 4570057 4570552 4570820 4570894 4570989 
##    2.41    2.92    2.11    2.83    2.48    2.88    2.18    2.62    2.87    2.76    2.69    2.41    2.97    2.88    2.65    2.83    1.97    2.56    2.70    2.53    2.90    2.86 
## 4570992 4571094 4571265 4571267 4571428 4571561 4572702 4572890 4572909 4573898 4574174 4574302 4574339 4574389 4574399 4574465 4574474 4575033 4575352 4575778 4576292 4576843 
##    2.68    2.85    2.99    2.64    2.62    2.95    2.96    2.91    2.63    2.22    2.81    2.71    2.72    2.50    2.52    2.41    2.67    2.78    2.78    1.92    2.65    2.79 
## 4576864 4577126 4578067 4578132 4578142 4578323 4578679 4579225 4579283 4579538 4580048 4580275 4580815 4580846 4581341 4581970 4581981 4582089 4582167 4582334 4582482 4584127 
##    2.67    2.95    2.09    2.78    2.82    2.20    2.72    2.51    3.00    2.85    2.86    2.37    2.90    2.21    2.98    2.69    2.99    2.14    2.46    2.92    2.94    2.89 
## 4584187 4584626 4584827 4584978 4584992 4585444 4586288 4586667 4586772 4586931 4587082 4587821 4587922 4588241 4589365 4589467 4590115 4590434 4590855 4591054 4591110 4591897 
##    2.58    2.95    2.80    2.90    2.86    2.45    2.93    2.22    2.82    2.54    2.88    2.85    2.56    2.81    2.80    2.44    2.98    2.82    2.83    2.72    3.00    2.38 
## 4591980 4592128 4592344 4592788 4592878 4593135 4593302 4593890 4593961 4594226 4594409 4594549 4594637 4594753 4594973 4595132 4595823 4595884 4596287 4596432 4596701 4596997 
##    2.45    2.62    2.37    2.67    3.00    2.86    2.46    2.91    2.90    2.93    2.69    2.83    2.50    2.89    2.46    2.27    2.92    2.88    2.99    2.43    2.36    2.77 
## 4597227 4597393 4597449 4598064 4598183 4598666 4598736 4598840 4599417 4599874 4599939 4601301 4601431 4601769 4602037 4602169 4602302 4603469 4603525 4603703 4604491 4604542 
##    2.53    2.94    2.64    2.93    2.20    2.32    2.95    2.62    2.91    2.39    2.78    2.04    2.99    2.77    2.71    2.79    2.87    2.98    2.58    2.66    2.94    2.57 
## 4605041 4606324 4606601 4606667 4606793 4606928 4607262 4607484 4607496 4607646 4607716 4608190 4608320 4608403 4609282 4609862 4610376 4610459 4610755 4611108 4611162 4611277 
##    2.05    2.75    2.19    2.95    2.09    2.78    2.98    2.58    2.81    2.61    2.52    2.55    2.99    2.54    2.72    2.90    2.89    2.86    3.00    2.99    2.53    2.20 
## 4611309 4611439 4611448 4612161 4612435 4612532 4614565 4614657 4614745 4614810 4615131 4615212 4616381 4616384 4616595 4616675 4616775 4617097 4617519 4617605 4618016 4618293 
##    2.55    2.79    2.63    2.53    2.96    2.78    2.61    2.81    1.74    2.89    2.91    2.56    2.51    2.96    2.69    2.75    2.75    2.75    2.72    2.81    2.71    2.67 
## 4619074 4619253 4619512 4619602 4619756 4620967 4620997 4621368 4621472 4621603 4621791 4622486 4623225 4623715 4623830 4623931 4624309 4624476 4625490 4625542 4626536 4626949 
##    2.89    2.90    2.63    2.94    2.97    2.68    2.99    2.23    2.92    2.93    2.24    2.33    2.33    2.95    2.26    2.84    2.35    2.14    2.63    2.95    2.68    3.00 
## 4626967 4627190 4627529 4627790 4628924 4629410 4629657 4630216 4630217 4630274 4630636 4630851 4631529 4631900 4632178 4632264 4632402 4633032 4633107 4633186 4633428 4633715 
##    2.89    2.92    2.19    2.97    2.70    1.91    2.68    2.63    1.67    2.98    2.30    2.68    2.94    2.59    2.94    2.61    2.51    2.78    2.78    2.25    2.69    2.75 
## 4633724 4634917 4634930 4634973 4635316 4635332 4636670 4636677 4636768 4637204 4637722 4637811 4637843 4638563 4639211 4639233 4639522 4639643 4639760 4640051 4640551 4640601 
##    2.16    2.59    2.81    2.38    2.66    2.43    2.88    2.71    2.99    2.69    2.97    2.00    2.71    2.52    2.95    2.38    2.07    2.81    1.96    2.67    2.08    2.23 
## 4640829 4641469 4641709 4642663 4642803 4643183 4644110 4644417 4644615 4645126 4645468 4645962 4646349 4646479 4646669 4646891 4647267 4648015 4648474 4648621 4648712 4648861 
##    2.83    2.83    2.60    2.81    1.83    2.49    2.74    2.58    2.61    2.93    2.60    2.68    2.91    2.74    2.42    2.60    2.92    2.63    2.49    2.77    2.96    2.91 
## 4649162 4649342 4649580 4649592 4649839 4650368 4650479 4650636 4650927 4651687 4651689 4652442 4652910 4652965 4653392 4653636 4653715 4654738 4655399 4655653 4655773 4655929 
##    2.90    2.64    1.97    2.14    3.00    2.04    2.69    2.94    2.88    2.99    2.96    2.89    2.94    2.48    2.65    2.63    2.27    2.53    2.62    2.62    2.69    2.57 
## 4656075 4656198 4656298 4656469 4656736 4656933 4657005 4657554 4657595 4658421 4658921 4658947 4660160 4660319 4661470 4661485 4663991 4664890 4665138 4665712 4665813 4665831 
##    2.77    2.65    2.94    2.61    2.97    2.87    2.81    2.96    2.44    2.91    2.89    2.37    2.80    2.09    2.99    2.96    2.90    2.91    2.89    2.54    2.99    2.51 
## 4665923 4666006 4666145 4666156 4666699 4666802 4666996 4667231 4667355 4667763 4668315 4668393 4668590 4668739 4669568 4669768 4669882 4670444 4670509 4670655 4670677 4671090 
##    2.63    2.88    2.72    2.63    2.29    2.46    2.80    2.72    2.96    2.80    2.57    2.46    2.84    2.36    2.63    2.88    2.91    2.83    2.59    2.74    2.94    2.75 
## 4671623 4671682 4671727 4672049 4672132 4672801 4672819 4673069 4673087 4673293 4673364 4673371 4673887 4673917 4674308 4674889 4675187 4675236 4675569 4676154 4676165 4676488 
##    2.65    2.74    2.58    2.71    2.85    2.75    2.82    2.93    2.67    2.82    2.69    2.49    2.93    2.28    2.76    2.27    2.89    2.86    2.52    2.64    2.76    2.60 
## 4677026 4677331 4677411 4677562 4677776 4678295 4678563 4678708 4678989 4679023 4679680 4679874 4680688 4681063 4681703 4681757 4681806 4681932 4682066 4682283 4682306 4682330 
##    2.43    2.01    2.76    2.88    2.34    2.62    2.36    2.76    2.61    2.82    2.94    2.64    2.38    2.31    2.19    2.98    2.62    2.62    2.70    2.82    2.35    2.32 
## 4682477 4682700 4682730 4682753 4683242 4683244 4683419 4683895 4684837 4684991 4685361 4685396 4685550 4686283 4686795 4687084 4687414 4687675 4688985 4689138 4689215 4689663 
##    2.14    2.29    2.52    2.10    2.96    2.91    2.19    2.79    2.24    2.99    2.63    2.70    2.96    2.65    2.11    2.25    2.46    2.40    2.91    2.76    2.91    2.75 
## 4689977 4690275 4690309 4691669 4691734 4691952 4692003 4692073 4692686 4693853 4693885 4694060 4694824 4695209 4695632 4695640 4695869 4696420 4696764 4696897 4697296 4697629 
##    2.94    2.72    2.80    2.71    2.63    2.81    2.73    2.26    2.61    2.68    2.66    2.67    2.83    2.31    2.68    1.79    2.69    2.69    2.63    2.90    2.85    2.63 
## 4697936 4698516 4700016 4700110 4700328 4700444 4700573 4700604 4700740 4700897 4702480 4702496 4702525 4702671 4702967 4703347 4703466 4703896 4704669 4705227 4705569 4705632 
##    2.85    2.86    2.99    2.64    2.60    2.86    1.99    2.62    2.91    2.96    2.35    2.81    2.71    2.64    2.80    2.70    2.86    2.98    1.57    1.98    2.53    2.51 
## 4705846 4706122 4706714 4707014 4707041 4707413 4707419 4707929 4708431 4708518 4708798 4709133 4709212 4709306 4709391 4709898 4711086 4711663 4711814 4712075 4712189 4712407 
##    2.48    2.48    2.59    2.42    2.84    2.85    2.22    2.47    2.84    2.70    2.75    2.94    2.38    2.89    2.86    2.74    2.85    2.94    2.86    2.91    2.88    2.38 
## 4712421 4712540 4712972 4713187 4713249 4713286 4714647 4714717 4714763 4715689 4715949 4715994 4716051 4716426 4716590 4717569 4717604 4718509 4718775 4718943 4719086 4719123 
##    2.31    2.78    2.97    2.84    2.96    2.58    2.95    2.52    2.48    2.73    2.38    2.50    3.00    2.80    2.42    2.69    2.87    2.27    2.70    2.81    2.98    2.92 
## 4719393 4719422 4719484 4719565 4719716 4720221 4720801 4721707 4721872 4722019 4722430 4722482 4722735 4722855 4722857 4722906 4723302 4723533 4723577 4723832 4723941 4724065 
##    2.93    2.95    2.64    2.82    2.82    2.51    2.71    2.91    2.66    2.92    2.92    2.67    2.69    2.87    2.78    2.58    2.81    1.81    2.64    2.33    2.67    2.79 
## 4724139 4724577 4724599 4724982 4725296 4725312 4725586 4725603 4725680 4725884 4726160 4727329 4727395 4727641 4727642 4728249 4728286 4728670 4728953 4729333 4729937 4730635 
##    2.76    2.95    2.78    2.77    2.54    2.47    2.94    2.40    2.94    2.93    2.83    2.97    2.63    2.91    2.82    2.72    2.61    2.76    2.85    2.92    2.90    2.36 
## 4730668 4730765 4730864 4730917 4730965 4731124 4731126 4731186 4732120 4732889 4733346 4734473 4735091 4735098 4735364 4735699 4736346 4736604 4737857 4737873 4738049 4738155 
##    2.47    2.87    2.77    2.92    2.76    2.96    2.86    2.83    2.96    2.53    2.81    2.63    2.75    2.89    2.79    2.84    2.52    2.32    2.71    2.98    2.88    2.26 
## 4738253 4738639 4739167 4739801 4739868 4739979 4740016 4740202 4740277 4740585 4740951 4741733 4741779 4742110 4742136 4743165 4743437 4744120 4744321 4744499 4744504 4744884 
##    2.82    1.96    2.25    2.54    2.99    2.57    2.79    2.90    2.88    2.94    2.85    2.75    2.94    2.94    2.45    2.67    2.88    2.96    2.98    2.72    2.76    2.81 
## 4746092 4746120 4746444 4746584 4746591 4746629 4746816 4747030 4747210 4747225 4747343 4747893 4747954 4748148 4748444 4748570 4748661 4748673 4748757 4748799 4748822 4749154 
##    2.73    2.66    2.94    2.98    2.81    2.74    2.34    2.33    2.85    2.79    2.65    2.72    2.78    2.22    2.57    2.28    2.47    2.41    2.79    2.59    2.92    2.97 
## 4749275 4750063 4750394 4750455 4750488 4750528 4750633 4750690 4750853 4750860 4751021 4751148 4751217 4751432 4751570 4752526 4752868 4753208 4753533 4753876 4754057 4754182 
##    2.87    2.70    2.64    2.93    2.84    2.73    2.94    2.56    2.69    2.36    2.98    2.63    2.29    2.81    2.80    3.00    2.37    2.51    2.76    2.35    2.99    2.38 
## 4754541 4754568 4754906 4755339 4755443 4756130 4756304 4756367 4757062 4757153 4757531 4757831 4757914 4757965 4758265 4758784 4758871 4759264 4760456 4760561 4760907 4761850 
##    2.83    2.50    2.42    2.85    2.72    2.42    2.75    2.45    2.99    2.63    2.69    2.85    2.97    2.07    2.83    2.81    2.97    2.75    2.12    2.94    2.82    2.46 
## 4762228 4762286 4762362 4762572 4762705 4762821 4763353 4763533 4763736 4763835 4763855 4764550 4766263 4766413 4767556 4767600 4767884 4768357 4768600 4768781 4768815 4769378 
##    2.92    2.86    2.48    2.21    2.92    2.92    2.89    2.17    2.78    2.98    2.56    2.29    2.51    2.92    2.63    2.92    2.85    2.95    2.30    2.78    2.37    2.85 
## 4769462 4769894 4770256 4770349 4770375 4770695 4770889 4770990 4771558 4772266 4772286 4772723 4772879 4772904 4773848 4774121 4775006 4775506 4775944 4775972 4776300 4776470 
##    2.80    2.26    2.66    2.19    2.83    2.69    2.76    2.90    2.50    2.84    2.81    2.75    2.82    2.93    2.94    2.85    2.78    2.85    2.73    2.91    2.71    2.15 
## 4776503 4776684 4776796 4776877 4777168 4777340 4777397 4777735 4777887 4777910 4777931 4778389 4778769 4778781 4778797 4778913 4778941 4779539 4779861 4779936 4779949 4780378 
##    2.69    2.54    2.91    2.64    2.58    2.94    2.77    2.89    2.33    2.60    3.00    2.90    2.90    2.83    2.25    2.34    2.53    2.82    2.78    2.51    2.82    2.30 
## 4780699 4781283 4781482 4781485 4781777 4782201 4783210 4783699 4784103 4784461 4785003 4785068 4785090 4785763 4785803 4786451 4787235 4788275 4789116 4790117 4790723 4790894 
##    2.43    2.74    2.60    2.72    2.44    2.99    2.46    2.83    2.99    2.94    2.87    2.47    2.73    2.92    2.93    2.33    2.83    2.37    2.40    2.85    2.78    2.98 
## 4791135 4791312 4791340 4791626 4791709 4792095 4792378 4792609 4792860 4792990 4793035 4793148 4793176 4793717 4793734 4794309 4794334 4794954 4795103 4795107 4795309 4795348 
##    2.92    2.07    2.95    2.90    2.44    2.37    2.83    2.78    2.53    2.91    2.66    2.90    2.91    2.69    2.89    2.44    2.68    2.30    2.43    2.79    2.99    2.79 
## 4795433 4796057 4796965 4797006 4797069 4797261 4797856 4798359 4798469 4798811 4799198 4799994 4800127 4800336 4800767 4801429 4801464 4801479 4801779 4801823 4802046 4802826 
##    2.88    2.60    2.62    2.72    2.69    2.97    2.75    2.75    2.95    2.87    2.56    2.51    2.70    2.61    1.96    2.91    2.91    2.58    2.33    2.88    2.95    2.77 
## 4803139 4803711 4803777 4804222 4804240 4805498 4806249 4806496 4806942 4807137 4807565 4808187 4808280 4808449 4808460 4808921 4809307 4809495 4809528 4810311 4810347 4810454 
##    2.97    2.39    2.80    2.87    2.51    2.73    2.90    2.35    2.81    2.80    2.29    2.82    2.80    2.87    2.79    2.20    2.24    2.87    2.89    2.63    2.59    2.93 
## 4810939 4811038 4811618 4811819 4812381 4812643 4813448 4813932 4814011 4814089 4814507 4814560 4814577 4814585 4814619 4814747 4814923 4815050 4815253 4815588 4815961 4816033 
##    3.00    2.16    2.58    2.88    2.96    2.75    2.88    2.99    2.83    1.84    2.94    2.89    2.92    2.88    2.90    2.47    2.86    2.35    2.68    2.93    2.68    2.10 
## 4816069 4816214 4816436 4816988 4817008 4817241 4817694 4818285 4818440 4818459 4818793 4819160 4819256 4819547 4819843 4819914 4819934 4820278 4820370 4821364 4821682 4822441 
##    2.67    2.55    2.69    2.99    2.93    2.10    2.69    2.69    2.42    2.81    2.88    1.76    2.21    2.81    2.53    2.88    2.41    2.98    2.90    2.49    2.67    2.97 
## 4822512 4822812 4823081 4823236 4824079 4824185 4824219 4824470 4824685 4825422 4825652 4826484 4826497 4826498 4826508 4827466 4827565 4827722 4828107 4828663 4829049 4829407 
##    2.89    2.88    2.80    2.86    2.42    2.21    2.93    2.42    2.65    2.54    2.56    2.32    2.70    2.81    2.98    2.54    2.91    2.71    2.24    2.01    3.00    2.72 
## 4829504 4829508 4830371 4830405 4830411 4831009 4831136 4831514 4831886 4832175 4832184 4832296 4832567 4832663 4832979 4833336 4833538 4833604 4833847 4834754 4835208 4835522 
##    2.88    2.98    2.99    2.92    1.91    2.86    2.50    1.98    2.64    2.99    2.99    2.53    2.97    2.91    2.81    2.54    2.76    2.75    2.38    2.99    1.96    2.68 
## 4836318 4836448 4836460 4836799 4836820 4837052 4837458 4837548 4838312 4838955 4839555 4839758 4840160 4840421 4840474 4840725 4840892 4840930 4841588 4841799 4841807 4842157 
##    2.96    2.96    2.77    2.42    2.14    2.63    2.42    2.85    2.52    2.31    2.81    2.95    2.82    2.70    2.44    2.73    2.94    2.99    2.71    2.95    2.97    2.85 
## 4842374 4843354 4843583 4843650 4844426 4845150 4845989 4846365 4846517 4846662 4847375 4847487 4847629 4847763 4848279 4848407 4849068 4849515 4849903 4850011 4850297 4850370 
##    2.71    2.94    1.94    2.95    2.02    2.84    2.38    2.86    2.45    2.47    2.70    2.23    2.62    2.59    2.71    2.70    2.37    2.04    2.49    2.61    2.58    2.58 
## 4850587 4850856 4851513 4851653 4851672 4851896 4851995 4852315 4852469 4852602 4852722 4853012 4853626 4853839 4853860 4853942 4854186 4854230 4854771 4855045 4855369 4855407 
##    2.86    2.94    2.73    2.93    2.93    2.57    2.17    2.08    2.65    2.67    2.60    2.78    2.87    1.67    2.96    2.99    2.86    2.91    2.72    2.60    2.90    2.22 
## 4855870 4855891 4856424 4856684 4856847 4856942 4857461 4857675 4858191 4858261 4858432 4858464 4859080 4859539 4859854 4859908 4860181 4860373 4860847 4861341 4861449 4861472 
##    2.94    2.80    2.93    2.70    2.79    2.65    2.88    2.76    2.82    2.99    2.75    2.93    2.34    2.99    2.99    2.76    2.75    2.68    2.24    2.93    1.86    2.99 
## 4861641 4861746 4861803 4862029 4862266 4862283 4862927 4862986 4863215 4863766 4863832 4863992 4864346 4864386 4864396 4864407 4865016 4865019 4865275 4865295 4866025 4866212 
##    2.92    2.95    2.99    2.56    1.68    2.94    2.55    2.67    2.92    2.91    2.56    2.85    2.98    2.95    2.64    2.93    3.00    2.83    2.12    2.89    2.94    2.98 
## 4866278 4866366 4866640 4866725 4866976 4867443 4867556 4867605 4867983 4868397 4868460 4868602 4869089 4870479 4870548 4872105 4872140 4872209 4872426 4872440 4872516 4872579 
##    2.72    2.83    2.94    2.97    2.53    2.94    2.93    2.87    2.40    2.60    2.74    1.57    2.42    2.63    2.71    2.92    2.73    2.29    2.89    2.83    2.65    2.97 
## 4872690 4872984 4873131 4873352 4873617 4873851 4874114 4874285 4874569 4874650 4874803 4875354 4876147 4876687 4877171 4878027 4878325 4878979 4879248 4879296 4879682 4879772 
##    2.57    2.99    2.58    2.57    2.37    2.69    2.09    2.65    2.21    2.63    2.80    2.55    2.45    2.92    2.83    2.44    2.51    2.80    2.88    2.41    2.89    2.71 
## 4879894 4879895 4880158 4880988 4881103 4881117 4881197 4881378 4882851 4883032 4883116 4884623 4884708 4884815 4885041 4885264 4885498 4885506 4885572 4885641 4885800 4885918 
##    2.57    2.57    2.88    2.90    2.76    2.85    2.87    2.95    2.64    2.52    3.00    2.13    2.37    2.82    2.97    2.34    2.26    2.99    2.78    2.73    2.86    2.88 
## 4886237 4886297 4886894 4886927 4887903 4888032 4888464 4888559 4888592 4889607 4889927 4889988 4891839 4891967 4892428 4892733 4893081 4894765 4894879 4895086 4895404 4895953 
##    2.75    2.66    2.85    2.81    1.94    2.99    2.85    2.28    2.84    2.92    2.84    2.67    2.46    2.16    2.66    2.86    2.75    2.46    2.75    2.80    2.93    2.60 
## 4896224 4896301 4896770 4897029 4897288 4897367 4897383 4897492 4897641 4898221 4898304 4898305 4898564 4899426 4899781 4900576 4900821 4901006 4901125 4901758 4901822 4902797 
##    2.94    2.72    2.87    2.99    2.87    2.34    2.98    2.95    2.52    2.49    2.51    2.60    2.79    2.81    3.00    2.92    2.67    1.97    2.75    2.95    2.62    2.49 
## 4902840 4903029 4903060 4903368 4903821 4903905 4904868 4905064 4905503 4905704 4906070 4906119 4906128 4906246 4906354 4906368 4906726 4907800 4907802 4907839 4908397 4908824 
##    2.85    2.82    2.78    2.05    2.43    2.91    2.84    2.87    2.32    2.81    2.84    2.16    2.95    2.78    2.99    2.18    2.97    2.92    2.99    2.88    2.81    2.96 
## 4908913 4909021 4909236 4909261 4909596 4910039 4910221 4910330 4910565 4910688 4910760 4911671 4911815 4911821 4913093 4913176 4913635 4913667 4914017 4914311 4914338 4914621 
##    2.53    2.94    2.34    2.38    2.80    2.86    2.39    2.56    2.62    2.50    2.74    2.23    2.90    2.94    2.77    2.86    2.86    2.69    3.00    2.77    2.85    2.89 
## 4914624 4914629 4914700 4914965 4915035 4915094 4915624 4915642 4915746 4916047 4916490 4918437 4918573 4918811 4918842 4919068 4919259 4919453 4920221 4920867 4920950 4921210 
##    2.99    2.55    2.81    2.88    2.97    2.74    2.81    3.00    2.31    2.64    2.67    2.26    2.65    2.77    2.91    2.96    2.11    2.85    2.42    2.86    1.47    2.82 
## 4921423 4922080 4922865 4923502 4923589 4923593 4923768 4923842 4924162 4924602 4925775 4926025 4926257 4926533 4926845 4927616 4928278 4928442 4928530 4929179 4929651 4929868 
##    2.88    2.73    2.99    2.33    2.90    2.97    2.93    2.78    2.80    2.80    2.95    3.00    2.61    2.52    2.40    2.95    2.24    2.83    2.45    2.82    2.50    2.97 
## 4929879 4930302 4930411 4930755 4931144 4931463 4931599 4931744 4932173 4932268 4932940 4933592 4933662 4933819 4934329 4934716 4934867 4934988 4935164 4935268 4935756 4935834 
##    1.74    2.85    2.46    2.90    2.90    2.84    2.73    2.94    2.49    2.49    2.83    2.96    2.97    2.89    2.96    2.39    2.85    2.23    2.51    2.98    2.49    2.86 
## 4937067 4937369 4937462 4937658 4937950 4937977 4938221 4938262 4939592 4939801 4939933 4940228 4940281 4940398 4940475 4941199 4941584 4942315 4942460 4942669 4942837 4943002 
##    2.48    2.97    2.43    2.74    2.71    2.89    2.31    2.31    2.61    2.99    2.94    2.75    2.70    2.91    2.99    2.71    2.48    2.65    2.95    2.37    2.60    2.94 
## 4943049 4943892 4944320 4944563 4944582 4944627 4945116 4945765 4945805 4945928 4946206 4946272 4946549 4946655 4946746 4946812 4947079 4947279 4947461 4947578 4947861 4948130 
##    2.48    2.59    2.99    2.91    2.68    2.50    2.46    2.54    2.36    2.35    2.63    2.86    2.62    2.89    2.97    2.54    2.43    2.85    2.67    2.88    2.28    2.81 
## 4948957 4949231 4949278 4949413 4949780 4950183 4950278 4950662 4950719 4950985 4951617 4951939 4952209 4952384 4952644 4953209 4953210 4953316 4954461 4954649 4955625 4955774 
##    2.73    2.84    2.46    2.86    2.56    2.38    2.92    2.48    2.02    2.73    2.05    2.90    2.64    2.92    2.88    2.30    2.18    2.55    2.94    2.76    2.87    2.86 
## 4955940 4956041 4956149 4956501 4957527 4958604 4958947 4958952 4959082 4959222 4959465 4959613 4959787 4960070 4960567 4961684 4961992 4962063 4962432 4962748 4963432 4963451 
##    2.81    2.85    2.84    2.69    1.95    2.74    2.89    2.98    2.50    2.99    2.93    2.94    2.53    2.94    2.38    2.15    2.81    2.78    2.89    2.78    2.22    2.60 
## 4963512 4963553 4963637 4963933 4964439 4964532 4964782 4965361 4965495 4965752 4966216 4966309 4966567 4966819 4966896 4967008 4967075 4967496 4968114 4968276 4968997 4969215 
##    2.95    2.42    2.81    2.96    2.95    2.89    2.71    2.98    2.96    2.90    2.62    2.25    2.69    2.78    2.90    2.94    2.61    2.87    2.40    2.87    1.66    2.91 
## 4970033 4970463 4970941 4971845 4971929 4971956 4972182 4973271 4973650 4973980 4974426 4974682 4974756 4975228 4975475 4976205 4976213 4976408 4976667 4976685 4977950 4978100 
##    2.89    2.82    2.15    2.81    2.71    2.59    2.57    2.99    2.43    2.92    2.32    2.62    2.40    2.99    2.55    2.84    2.77    2.85    2.52    2.30    2.78    2.47 
## 4978463 4978507 4978628 4978684 4979228 4979676 4979744 4979917 4980556 4981018 4981035 4982149 4982347 4982643 4983441 4983506 4983554 4984206 4984222 4984494 4984800 4985138 
##    2.84    2.24    2.59    2.63    2.59    2.84    2.43    2.68    2.88    2.88    2.40    2.96    2.66    3.00    2.66    1.80    2.83    2.62    2.69    2.92    2.33    2.86 
## 4985208 4985437 4986283 4986343 4987097 4987174 4987256 4988028 4988173 4988456 4988631 4988805 4988809 4989116 4989292 4989595 4989752 4989961 4990719 4990856 4991662 4991679 
##    2.70    2.60    2.76    2.82    2.16    2.85    2.97    2.98    2.90    2.66    2.18    2.37    2.24    2.85    2.57    2.75    2.71    2.56    2.76    2.75    2.82    2.96 
## 4992610 4992918 4993541 4994122 4994134 4994801 4994877 4995011 4995214 4995451 4995665 4995765 4996026 4996210 4996476 4996668 4996923 4997078 4997090 4997096 4998230 4998693 
##    2.69    2.29    2.83    2.95    2.72    2.61    2.45    2.96    2.65    2.75    2.48    2.99    2.95    2.84    2.56    2.83    2.56    2.79    2.81    2.57    2.94    2.70 
## 4999129 
##    2.82
## [1] "4145734"

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 9 14 38 63 76 51 134 72
Black 9 16 36 62 72 55 134 73
X1min <- tbl1 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X1min
## X-squared 
## 0.4613354

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 237 220
Black 239 218
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 375 82
Black 373 84
X4min <- tbl4 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X4min
##  X-squared 
## 0.02944398

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 44 33 40 51 35 60 46 42 48 57
Black 43 36 41 49 35 56 49 45 48 54
X5min <- tbl5 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X5min
## X-squared 
## 0.6114719

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 86 71 35 265
Black 83 72 33 269
X6min <- tbl6 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X6min
## X-squared 
## 0.1490335

Sum of Chi_Squares

Xsum_min <- X1min + X2min + X3min + X4min + X5min + X6min
Xsum_min
## X-squared 
##  1.277207