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 -0.0458 -0.0123  0.0000  0.1234 -0.0034
## X2 -0.0458  1.0000 -0.0712  0.0014  0.0849 -0.0429
## X3 -0.0123 -0.0712  1.0000  0.0050 -0.0747 -0.0219
## X4  0.0000  0.0014  0.0050  1.0000 -0.0073  0.0047
## X5  0.1234  0.0849 -0.0747 -0.0073  1.0000 -0.0381
## X6 -0.0034 -0.0429 -0.0219  0.0047 -0.0381  1.0000
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1.05    5.98    7.27    7.43    8.71   21.39
## [1] 2.02
## 5000004 5000933 5000977 5001062 5001098 5002136 5002449 5002620 5002883 5003123 5003699 5003980 5004069 5004182 5004201 5004568 5004959 5004986 5005189 5005532 5005594 5005712 
##    2.95    2.34    2.41    2.98    2.63    2.29    2.99    2.58    2.40    2.42    2.70    2.49    2.68    2.00    2.71    2.87    2.68    2.89    2.59    2.85    2.78    2.98 
## 5005980 5006145 5006681 5007040 5007095 5007201 5007620 5008184 5009237 5009333 5009519 5009629 5010674 5010868 5011652 5011672 5011699 5011951 5012247 5012966 5013113 5013141 
##    2.91    2.84    2.75    2.62    2.89    2.76    2.63    2.98    2.72    2.65    3.00    2.97    2.79    1.64    2.43    1.60    2.82    2.10    2.96    2.53    2.59    2.62 
## 5013160 5013783 5013838 5013967 5014090 5014161 5014431 5014522 5014548 5014703 5014787 5015100 5015416 5015439 5015912 5016177 5016617 5017025 5017135 5017820 5018041 5018307 
##    2.70    2.96    2.97    2.23    2.87    2.58    2.56    2.99    2.79    2.70    2.84    2.30    2.63    2.87    2.93    2.93    2.77    2.25    2.51    2.93    2.98    2.82 
## 5018369 5018626 5019660 5019735 5020005 5020108 5020820 5021194 5021218 5021990 5022059 5023176 5023322 5023569 5024057 5024219 5025268 5026614 5026720 5026769 5026787 5027290 
##    2.90    2.84    2.84    2.14    2.92    2.79    2.17    2.71    2.43    2.66    2.91    2.54    2.05    2.57    2.96    2.32    2.41    2.33    1.96    2.92    2.62    2.97 
## 5027578 5028103 5028712 5028725 5029280 5029586 5029608 5029710 5030239 5030370 5030596 5030716 5030990 5031597 5031877 5032137 5032160 5032439 5032582 5033126 5033133 5033138 
##    2.93    2.95    2.56    2.77    2.92    2.52    2.83    2.20    2.46    2.71    2.80    2.99    2.56    2.57    2.59    2.84    2.81    2.80    2.48    2.94    2.97    2.75 
## 5033284 5033418 5033535 5034125 5034140 5034402 5034749 5034750 5035104 5035189 5035766 5036030 5036354 5036730 5036798 5036805 5036809 5037738 5038051 5038312 5038472 5038498 
##    2.09    2.72    2.81    2.66    2.28    2.93    2.46    2.79    2.49    2.34    2.66    2.97    2.73    2.87    2.93    2.65    2.46    2.77    2.73    2.77    2.67    2.96 
## 5038760 5038763 5038959 5039036 5039069 5039230 5040070 5040632 5040643 5040832 5040847 5040963 5041501 5041751 5041867 5042016 5042096 5042156 5042281 5042940 5043102 5043366 
##    2.72    2.67    2.69    2.57    2.55    2.73    2.52    2.54    1.96    2.61    2.82    2.67    2.54    2.91    2.49    2.88    2.54    3.00    2.94    2.74    2.18    2.64 
## 5043875 5044258 5044345 5044370 5045253 5045270 5045827 5045921 5046117 5046399 5047062 5047171 5047322 5047957 5047973 5048053 5048407 5048467 5048655 5048665 5048965 5049192 
##    2.50    2.10    2.66    2.78    2.73    2.82    2.39    2.75    2.73    2.24    2.82    2.19    2.35    2.66    2.42    2.44    2.53    2.70    2.63    2.52    2.89    2.27 
## 5049386 5049907 5049910 5050065 5050216 5050400 5050576 5050578 5050673 5050833 5051610 5051701 5052547 5052778 5052948 5053216 5053454 5053705 5054091 5054219 5054253 5055478 
##    1.25    2.67    2.73    2.83    2.75    2.07    2.91    2.86    2.48    2.69    2.10    2.21    2.29    2.64    2.91    1.91    2.42    2.50    2.99    2.94    2.69    2.68 
## 5055535 5055609 5055638 5056085 5056178 5056297 5056548 5056571 5056685 5056811 5057015 5057373 5057695 5057750 5057994 5058162 5058459 5058702 5059720 5060212 5060487 5060700 
##    2.79    2.50    2.53    2.97    2.66    2.89    2.77    2.74    2.95    2.59    2.88    2.86    2.05    2.98    2.89    2.65    2.99    2.70    2.90    2.94    2.60    2.23 
## 5060737 5060808 5060812 5060872 5061083 5061263 5061380 5062165 5062390 5063256 5063809 5064334 5064860 5064866 5065045 5065131 5065171 5065479 5065673 5065758 5065810 5066198 
##    2.84    2.75    2.58    2.69    2.89    2.85    2.51    2.68    2.81    2.96    2.60    2.15    2.16    2.61    2.49    2.17    2.87    2.71    2.51    2.05    2.01    2.24 
## 5066199 5066269 5066328 5066329 5066535 5066626 5067032 5067312 5067489 5067571 5067966 5068254 5068361 5068418 5068426 5068590 5068653 5068882 5069444 5069490 5070426 5070766 
##    2.41    2.96    2.61    2.29    2.90    2.15    2.55    2.20    2.86    2.90    1.83    2.32    2.99    2.97    2.70    2.36    2.13    2.87    2.83    2.74    2.86    2.89 
## 5070901 5071384 5071846 5071875 5071995 5072691 5072974 5073326 5073380 5073397 5073920 5074094 5074321 5074426 5074452 5074687 5075195 5075222 5075829 5075936 5076301 5076389 
##    2.31    2.78    2.87    2.21    2.59    2.75    2.96    2.95    2.96    2.99    2.80    2.99    1.39    2.65    2.64    2.37    2.96    2.94    2.41    2.83    2.82    2.66 
## 5076562 5076838 5077143 5077414 5077758 5078417 5078654 5078769 5078986 5079407 5080283 5080409 5080987 5081408 5082169 5082637 5083187 5083920 5084026 5084117 5084199 5084302 
##    2.61    2.85    2.95    2.91    2.76    2.78    2.58    2.98    2.97    2.88    2.89    2.68    2.66    2.83    2.98    2.27    2.88    2.40    2.89    2.75    2.86    2.93 
## 5084369 5084555 5084709 5084804 5084831 5085228 5085323 5085806 5086676 5087158 5087250 5088002 5088003 5088253 5088320 5089045 5089834 5090897 5090960 5091000 5091048 5091176 
##    2.38    2.55    2.93    3.00    2.93    2.83    2.19    2.76    2.71    3.00    2.19    2.83    2.87    2.51    2.82    2.40    2.76    1.71    2.77    2.97    2.67    3.00 
## 5091477 5091569 5091816 5092458 5092605 5093156 5093237 5093245 5093339 5093518 5093664 5093800 5093984 5094528 5094701 5094924 5094926 5094971 5095308 5095630 5095643 5096284 
##    2.54    2.85    2.91    2.14    2.80    2.97    2.24    2.94    2.60    2.91    2.30    2.82    2.80    2.53    2.85    2.38    2.93    2.96    2.80    2.99    2.40    2.61 
## 5096402 5096749 5097103 5097604 5097902 5097933 5098004 5098130 5098244 5099000 5099193 5099394 5099528 5100050 5100414 5100482 5100542 5100585 5100615 5100781 5100798 5101189 
##    2.73    2.65    2.84    2.95    2.88    2.83    2.58    2.82    2.46    1.78    2.93    2.86    2.46    2.45    2.91    2.97    2.75    2.69    2.83    2.55    2.69    2.53 
## 5101535 5101870 5102348 5102702 5103216 5103333 5103669 5104108 5104524 5104586 5104668 5104695 5104917 5105108 5105471 5105505 5105708 5105879 5106197 5106739 5106749 5106900 
##    2.31    2.87    3.00    2.96    2.81    2.70    2.25    2.53    2.99    2.92    2.83    2.06    2.88    2.89    2.84    2.76    2.51    2.88    2.84    2.90    2.79    2.75 
## 5107074 5107214 5107407 5107809 5107915 5107976 5108203 5108488 5109461 5110306 5110503 5110555 5110565 5110724 5111537 5111654 5111693 5112395 5112951 5112957 5113395 5113864 
##    2.22    2.92    2.91    2.71    2.93    2.75    2.98    2.67    2.83    2.86    2.91    2.33    2.89    2.96    2.84    2.71    2.86    2.97    2.25    2.56    2.63    2.51 
## 5113965 5114469 5114588 5114922 5115333 5115370 5115847 5115937 5116808 5117069 5117109 5117158 5117577 5118439 5118594 5118660 5118778 5119055 5119331 5119653 5119752 5120063 
##    2.87    2.76    2.93    2.95    2.70    2.00    2.86    2.18    2.75    2.97    2.98    2.95    2.89    2.98    2.75    2.86    2.16    2.67    2.65    2.85    1.99    2.67 
## 5120472 5120846 5120921 5121227 5121866 5121875 5122312 5122482 5123360 5124223 5124474 5124581 5124742 5125174 5125445 5125757 5126196 5126396 5126559 5127061 5127092 5127250 
##    2.74    2.83    2.43    2.72    2.63    2.23    2.24    2.81    2.73    2.96    2.79    2.47    2.95    2.96    2.61    2.28    2.68    2.93    2.04    2.75    2.33    2.87 
## 5127461 5128003 5128482 5128538 5128822 5128845 5129459 5129800 5130082 5130231 5130335 5130590 5130619 5131113 5131343 5131730 5131930 5132196 5132545 5132898 5132957 5133296 
##    2.51    2.81    2.43    2.99    1.93    1.51    2.49    2.36    2.99    2.73    2.58    2.81    2.19    2.77    2.26    2.85    2.82    2.72    2.83    2.88    2.70    2.90 
## 5133360 5133426 5133606 5133695 5133842 5133854 5134798 5136028 5136819 5136944 5136960 5136985 5137547 5138080 5138191 5138389 5138395 5138481 5138746 5138874 5139698 5139703 
##    2.83    2.83    2.75    2.45    2.66    2.61    2.57    3.00    2.84    2.82    2.44    2.82    2.80    2.93    2.92    2.95    2.74    2.72    2.96    2.56    2.70    2.28 
## 5139889 5140036 5140756 5141001 5141565 5141859 5141924 5142336 5142628 5143083 5143884 5144123 5144731 5144785 5145023 5145463 5145544 5147139 5148190 5148301 5148404 5148708 
##    2.63    2.70    2.31    2.68    2.93    2.82    2.80    2.69    2.90    2.78    2.84    2.48    2.69    2.97    2.98    2.83    2.13    2.92    2.28    2.76    2.88    2.04 
## 5148990 5149502 5150609 5150968 5151165 5151298 5152395 5152582 5152747 5153288 5153303 5153323 5153441 5153703 5153708 5153854 5154018 5154071 5154369 5154770 5155022 5155599 
##    2.86    2.07    2.50    2.94    2.83    2.82    2.74    2.52    2.76    2.86    2.65    2.75    2.94    2.42    2.92    2.58    2.39    3.00    2.45    2.89    2.45    2.79 
## 5155703 5155970 5156211 5156525 5156988 5158415 5158440 5158706 5158885 5159034 5159069 5159873 5159891 5160290 5161055 5161229 5161453 5161723 5161874 5162352 5163299 5164441 
##    2.89    2.56    2.64    2.76    2.31    2.96    2.93    2.35    2.98    2.91    2.93    3.00    2.22    2.53    2.81    2.33    2.11    2.77    2.82    2.74    2.28    2.90 
## 5165756 5165911 5166353 5166363 5166526 5167060 5167241 5167516 5167807 5168112 5168317 5168430 5168983 5169757 5169902 5170009 5170189 5170383 5170453 5170693 5170719 5170852 
##    2.82    2.97    1.87    2.94    2.49    2.73    2.81    2.65    2.68    2.55    2.36    1.98    2.83    2.59    2.50    2.05    2.25    2.51    2.83    2.98    2.87    3.00 
## 5170873 5171391 5171604 5172012 5172062 5172239 5172333 5172542 5172596 5172601 5172614 5172812 5173090 5173179 5173342 5174427 5174432 5174691 5174754 5175028 5175042 5175243 
##    2.14    2.65    2.77    2.88    2.01    1.81    2.34    2.51    2.72    2.45    2.09    2.81    2.74    1.64    2.96    2.59    2.90    2.87    2.89    2.86    2.56    2.83 
## 5175560 5175963 5175982 5176669 5176741 5176992 5177436 5177586 5177889 5178152 5178324 5178597 5179012 5179513 5179620 5179687 5180323 5180587 5181595 5181729 5181773 5181781 
##    2.87    2.93    2.81    2.27    2.85    2.93    2.56    2.71    2.76    2.81    2.77    2.93    2.42    2.82    2.67    2.88    2.81    2.67    2.77    2.95    2.72    2.08 
## 5182594 5182989 5183329 5183386 5183516 5183551 5183628 5183927 5184100 5184122 5184600 5185220 5185996 5186551 5186708 5187128 5187415 5187444 5187579 5188153 5188362 5188632 
##    2.45    2.98    2.63    1.05    2.42    2.48    2.45    2.94    2.72    2.31    2.80    2.95    2.84    2.69    2.81    2.77    2.54    2.60    2.71    2.91    2.84    2.38 
## 5188694 5188822 5188877 5188931 5189157 5189284 5189690 5190818 5191017 5191212 5191431 5192043 5192191 5192290 5192296 5192552 5192596 5192842 5193123 5193568 5194263 5194771 
##    2.77    2.91    2.96    3.00    2.47    2.95    2.93    2.86    2.64    2.78    2.91    2.94    2.58    2.85    1.98    2.74    2.04    2.45    2.44    2.87    2.74    2.73 
## 5194773 5194809 5195060 5195159 5195222 5195266 5195437 5195767 5196013 5197099 5197199 5197224 5197799 5197805 5198073 5198357 5198463 5198528 5198925 5198935 5199036 5199050 
##    2.73    2.94    2.80    2.94    2.73    2.45    2.78    2.94    2.69    2.26    2.85    2.07    2.99    2.58    2.92    2.90    2.73    2.61    2.87    2.88    2.82    2.83 
## 5199199 5199246 5199349 5199645 5199843 5200040 5200341 5200541 5200828 5201091 5201353 5201819 5202245 5202508 5202557 5202942 5203104 5203480 5203520 5203968 5204196 5204263 
##    2.69    2.97    2.70    2.77    2.93    2.81    2.96    2.10    2.80    2.27    2.78    2.62    2.94    2.87    2.74    2.13    2.97    1.89    2.61    2.68    3.00    2.77 
## 5204279 5205030 5205147 5206034 5206047 5206659 5207564 5207657 5208013 5208072 5208161 5208303 5208350 5208662 5209139 5209310 5209578 5210370 5210470 5210548 5211524 5211718 
##    2.77    2.69    2.68    2.88    2.08    2.73    2.57    2.77    2.80    2.99    1.50    2.69    2.92    2.81    2.21    2.66    2.99    2.41    2.78    2.70    2.59    2.44 
## 5211916 5212372 5212518 5212655 5213121 5213151 5213268 5213399 5213888 5214135 5214148 5214357 5214770 5215062 5215607 5216375 5216425 5216718 5216997 5217078 5217287 5217979 
##    2.84    2.64    2.55    2.81    2.55    2.79    2.76    2.99    2.65    2.55    2.83    2.52    2.99    2.55    2.57    1.94    2.79    2.82    2.88    2.79    2.74    2.95 
## 5218109 5218440 5218748 5218782 5219105 5219320 5219536 5220333 5220505 5220990 5221254 5221549 5222425 5222467 5222785 5223086 5223676 5223981 5224072 5224158 5224621 5224625 
##    2.81    2.83    2.98    2.38    2.32    2.54    2.83    2.80    2.95    2.42    2.89    2.29    2.18    2.94    2.85    2.69    2.78    2.29    2.11    2.19    2.93    2.68 
## 5224828 5224953 5225108 5225179 5225235 5225323 5225380 5225896 5226005 5226149 5226167 5226229 5226499 5227824 5228076 5228639 5229069 5229492 5230648 5230827 5232836 5232906 
##    2.85    2.48    1.97    2.64    2.73    2.57    2.95    2.67    2.92    2.71    2.72    2.71    2.87    2.79    2.94    2.94    2.38    2.66    2.93    2.64    2.77    2.99 
## 5233218 5233821 5233910 5234494 5235704 5236165 5237106 5237498 5238683 5239268 5239486 5240292 5240432 5240698 5240704 5240737 5241222 5241615 5241656 5241841 5242072 5242145 
##    2.81    3.00    2.59    2.86    2.65    2.82    2.99    2.95    2.83    2.54    2.90    2.92    2.86    2.64    2.95    2.89    2.66    2.74    2.45    2.37    1.97    2.13 
## 5242150 5242242 5242268 5242299 5242326 5242430 5242647 5244331 5245139 5245452 5246109 5246643 5246646 5247288 5247522 5247564 5247885 5248060 5248317 5248543 5248566 5249030 
##    2.87    2.36    2.43    2.84    2.52    2.44    2.89    2.11    2.83    2.82    2.80    2.56    2.40    2.75    2.47    2.96    2.18    2.51    2.73    2.98    2.52    2.75 
## 5249034 5250870 5252003 5252267 5252462 5252575 5253137 5253226 5253284 5253488 5254121 5254273 5254606 5254713 5254785 5254869 5254946 5255134 5255299 5255361 5255612 5256057 
##    2.76    2.96    2.67    2.88    2.37    2.57    2.68    3.00    2.80    2.60    2.94    2.66    2.67    1.73    2.95    2.30    2.56    2.70    2.37    2.74    2.86    2.92 
## 5256155 5256273 5256508 5257447 5257580 5257902 5259042 5259141 5259157 5259170 5259259 5259576 5259843 5259847 5260124 5260258 5260353 5260864 5261245 5261316 5261353 5261370 
##    2.60    2.79    2.99    2.29    2.96    2.77    2.99    2.89    2.61    2.97    2.74    1.59    2.42    2.45    2.95    2.99    2.16    2.57    2.18    2.87    2.95    2.92 
## 5261486 5261690 5261862 5261926 5261975 5262255 5262371 5263613 5264051 5264435 5264963 5265143 5265180 5265214 5265268 5265378 5265490 5265586 5265606 5265755 5265816 5266614 
##    2.63    1.81    2.93    2.35    2.76    2.36    2.46    2.78    2.84    2.85    2.41    2.40    2.61    2.56    2.83    2.91    2.12    2.46    2.84    2.95    2.13    2.55 
## 5266704 5267026 5267103 5267696 5267945 5268118 5268142 5268308 5269077 5269368 5269767 5269842 5269912 5270006 5270271 5271073 5271437 5271501 5271758 5272071 5272216 5272966 
##    2.38    2.94    2.69    2.85    2.68    2.99    2.01    2.89    2.62    2.70    2.45    2.89    2.81    2.95    2.62    2.43    2.92    2.99    2.54    2.67    2.83    2.98 
## 5273542 5273664 5273721 5274070 5274094 5274429 5274979 5275113 5275340 5276023 5276115 5276318 5276412 5276895 5276942 5278012 5278264 5278600 5279146 5279195 5279329 5279357 
##    2.63    2.65    2.65    2.89    1.83    2.94    2.23    2.99    2.90    2.49    2.92    2.68    2.71    2.94    2.92    2.39    1.99    2.44    2.74    2.70    2.69    2.92 
## 5279487 5281018 5281029 5281094 5281204 5281396 5281731 5282235 5282962 5283042 5283606 5283852 5283859 5284276 5284403 5284432 5284583 5284780 5284844 5284896 5285133 5285223 
##    2.21    2.97    2.39    2.97    2.04    2.42    2.37    2.98    2.83    2.56    2.62    2.28    2.74    2.97    2.63    3.00    2.07    2.77    2.85    2.72    2.94    2.79 
## 5286028 5286668 5286695 5286770 5286807 5287136 5287854 5288642 5288809 5288989 5289280 5289309 5289464 5289564 5289603 5289716 5289937 5290657 5290661 5291231 5291551 5291707 
##    2.89    2.63    2.26    2.99    2.24    2.87    2.65    2.94    1.91    2.80    2.28    2.98    2.77    2.90    2.38    2.92    2.61    2.97    2.94    2.13    2.88    2.87 
## 5291792 5291848 5292459 5293057 5293189 5293294 5293504 5294105 5294458 5294535 5294665 5295466 5296060 5296480 5296595 5296632 5296938 5297210 5298321 5298401 5298804 5299466 
##    2.72    2.80    2.83    2.87    2.51    2.72    2.57    2.61    2.30    2.91    2.35    2.81    2.94    2.17    2.75    2.15    2.82    2.87    2.50    2.22    2.68    2.94 
## 5299612 5299923 5300205 5301344 5301515 5301721 5301848 5302035 5302140 5302275 5302646 5302732 5302737 5302968 5303459 5303623 5303663 5304037 5304917 5305066 5305502 5305782 
##    2.96    2.84    2.73    2.84    2.97    2.52    2.86    2.87    2.29    2.70    2.99    1.87    2.57    2.90    2.87    2.07    2.98    2.87    2.22    2.48    2.89    2.99 
## 5306018 5306234 5307166 5307493 5307694 5307786 5308232 5308633 5308657 5308715 5309137 5309563 5310896 5311060 5311289 5311300 5311558 5312366 5312619 5312728 5313168 5313220 
##    2.08    1.92    2.90    3.00    2.54    2.92    2.75    2.14    2.49    2.93    2.88    2.92    2.95    2.96    2.63    2.85    2.84    2.68    2.64    2.61    2.94    2.54 
## 5313891 5313960 5314088 5315415 5315914 5316516 5316740 5316863 5317135 5317398 5317659 5317782 5317934 5318709 5319823 5321122 5321448 5321553 5321573 5322167 5322275 5322598 
##    2.91    2.79    2.85    2.28    2.53    2.60    1.96    2.81    2.97    2.84    2.32    2.69    2.30    2.99    2.45    2.85    2.40    2.33    2.85    2.99    2.72    2.93 
## 5323213 5323737 5323762 5323898 5324552 5324567 5324591 5324907 5325100 5325209 5325249 5325466 5325523 5325539 5325661 5325786 5325904 5326180 5326203 5326261 5326465 5327241 
##    2.27    2.55    2.61    2.66    2.88    2.96    2.49    2.98    2.74    2.83    2.98    2.62    2.81    2.72    2.62    2.93    2.84    2.88    2.98    2.96    2.84    2.42 
## 5327587 5327848 5328468 5328538 5328645 5328698 5328736 5329067 5329293 5329355 5329653 5329786 5329915 5330281 5331236 5331476 5331592 5333113 5333201 5333970 5334011 5334062 
##    2.62    2.91    2.96    2.51    2.18    2.78    2.62    2.79    2.59    2.68    2.57    2.75    3.00    2.35    2.88    2.86    2.82    2.99    2.83    2.74    2.91    2.79 
## 5334359 5334401 5334459 5334947 5335144 5335261 5335602 5335624 5335685 5336227 5336422 5336620 5336823 5336905 5337297 5337687 5337898 5338140 5338160 5338737 5339276 5339407 
##    2.65    2.58    2.82    2.95    2.54    2.90    2.39    1.97    2.71    2.98    2.55    2.83    2.35    2.43    2.88    2.51    2.79    2.69    2.96    2.78    2.71    2.85 
## 5339522 5339630 5339768 5340962 5340997 5341178 5341925 5342362 5342937 5343138 5344358 5344622 5344681 5345583 5345627 5345766 5346261 5346515 5346698 5347203 5347373 5347558 
##    2.92    2.82    2.77    2.26    2.97    2.84    2.88    2.93    2.97    2.69    1.74    2.72    2.37    2.52    2.94    2.03    2.86    2.60    2.79    2.53    2.88    2.79 
## 5347942 5348351 5349042 5349508 5350093 5350206 5351025 5351694 5352091 5352311 5352422 5352925 5353201 5353542 5353829 5354031 5354849 5355266 5355279 5355700 5356043 5356458 
##    2.78    2.85    2.75    2.89    2.93    2.72    2.98    2.49    2.75    2.92    2.31    2.86    2.87    2.75    2.77    2.86    2.91    2.59    2.46    2.91    2.88    2.75 
## 5356583 5356590 5356639 5356973 5357032 5357062 5357187 5357243 5357750 5358432 5358542 5359030 5359467 5359476 5359593 5359642 5359778 5359873 5360018 5360184 5360474 5360594 
##    2.48    2.54    1.96    2.96    2.52    2.86    2.81    2.03    2.73    2.26    2.92    2.38    2.49    2.16    2.91    2.90    2.92    2.99    2.92    2.90    2.94    2.65 
## 5360659 5361399 5362242 5362304 5362500 5362704 5362728 5363091 5363129 5363174 5363435 5363458 5363677 5363688 5363846 5363887 5364853 5364979 5365486 5365959 5366449 5366799 
##    2.65    2.80    2.66    2.79    2.22    2.76    2.64    2.15    2.88    2.81    2.68    2.70    2.70    2.96    2.46    2.83    2.20    2.76    2.46    2.80    2.51    2.24 
## 5367411 5367652 5368366 5368441 5368453 5368502 5369006 5369049 5369078 5369191 5369529 5369897 5370059 5370064 5370086 5370725 5370870 5370872 5371042 5371103 5371127 5371275 
##    2.61    2.94    2.60    2.93    2.56    2.67    2.25    2.24    2.99    3.00    2.68    2.55    2.21    2.69    2.74    2.46    2.70    2.82    2.76    2.75    2.70    2.95 
## 5371311 5371424 5371824 5371864 5371975 5372480 5372670 5374261 5374618 5374916 5375117 5375285 5375903 5375976 5376136 5376893 5377395 5377656 5377766 5377902 5378511 5378918 
##    2.88    2.25    2.60    2.69    2.99    2.18    2.46    2.95    2.90    2.89    2.93    2.48    2.98    2.64    2.81    2.85    2.91    2.36    2.80    2.81    2.13    2.68 
## 5379441 5379596 5379974 5380046 5380104 5380119 5380146 5380698 5380973 5381048 5381352 5381461 5381677 5381954 5382564 5382880 5383771 5384574 5384851 5385533 5385641 5385842 
##    2.69    2.57    2.91    2.68    2.84    2.99    2.75    2.93    2.66    2.80    2.71    2.74    2.71    2.89    2.51    2.79    2.48    2.39    2.09    2.40    2.73    2.73 
## 5386060 5386065 5386418 5387861 5387891 5388101 5388150 5390898 5390911 5391027 5391652 5391690 5391823 5391868 5392912 5392986 5393032 5393035 5393085 5393116 5393785 5393792 
##    1.85    2.63    2.41    2.92    2.86    2.98    2.84    2.42    2.84    2.75    2.92    2.94    2.14    2.88    2.45    2.30    2.73    2.75    2.38    2.67    2.61    1.74 
## 5394259 5394735 5395023 5395525 5395658 5395753 5396715 5397122 5397842 5397981 5398956 5399037 5399088 5399189 5399654 5400120 5401113 5401981 5402254 5403795 5403882 5404194 
##    2.90    2.70    2.74    2.98    2.66    2.93    2.81    2.86    2.62    2.79    3.00    2.08    2.87    2.84    2.92    2.98    2.50    2.94    2.66    2.79    2.92    2.92 
## 5404397 5404716 5405130 5405246 5405533 5405972 5407317 5407640 5407720 5407963 5408019 5409368 5409581 5409593 5410408 5410481 5410750 5410800 5410995 5411003 5411114 5411361 
##    2.85    2.53    2.64    2.46    2.30    2.87    2.99    2.85    2.77    2.82    2.29    2.90    2.87    2.76    1.49    2.63    2.84    2.84    2.21    2.87    2.64    2.97 
## 5411664 5411875 5412494 5412615 5412683 5412694 5412730 5413007 5413038 5413182 5413673 5413813 5414334 5415277 5416785 5417241 5419569 5420584 5420744 5420765 5420781 5421681 
##    2.47    2.81    2.93    2.84    2.50    2.94    2.60    2.32    2.57    2.87    2.81    2.42    2.21    2.66    2.53    2.92    2.10    2.54    2.76    2.88    2.40    2.49 
## 5421773 5421868 5422173 5422286 5422298 5422739 5424437 5424758 5425139 5425223 5425735 5425985 5426312 5426906 5427659 5427732 5427949 5428073 5428222 5428276 5428321 5428791 
##    2.99    2.69    2.32    2.35    2.79    2.50    2.95    2.65    2.97    2.89    2.80    2.32    2.82    2.35    2.98    1.83    2.61    2.90    2.97    2.67    2.38    2.00 
## 5429184 5429599 5429772 5430259 5430518 5430852 5430886 5431146 5431206 5431333 5431998 5432065 5432952 5432978 5433110 5433198 5433769 5434124 5434962 5435042 5435090 5435112 
##    2.88    2.04    2.63    2.59    2.39    2.43    2.69    2.46    2.30    2.81    2.59    2.19    2.85    2.09    2.95    2.85    2.92    2.70    2.80    2.78    1.84    2.47 
## 5435201 5435247 5435324 5435500 5435501 5435852 5435856 5436089 5436119 5436215 5436744 5437198 5437277 5438207 5438255 5438300 5438946 5439278 5439480 5439495 5439660 5439830 
##    2.79    2.96    2.93    2.71    2.54    2.93    2.75    2.85    2.79    2.73    2.85    2.27    2.26    2.62    2.94    2.31    2.84    2.93    2.08    2.92    2.76    2.72 
## 5440116 5440346 5440740 5441166 5441242 5442279 5442494 5442504 5442730 5443632 5444107 5444198 5444391 5444575 5445061 5445251 5445585 5445776 5446197 5446233 5446264 5446484 
##    2.44    2.80    2.95    2.92    2.78    2.54    2.67    2.32    2.88    2.56    2.94    2.83    2.72    2.81    2.86    2.80    2.65    2.50    2.54    2.92    2.68    2.71 
## 5447034 5447123 5447127 5447518 5447763 5448753 5449157 5449882 5450175 5450403 5450405 5450948 5451724 5452440 5452616 5452764 5452841 5452882 5453349 5453528 5453781 5453810 
##    2.27    2.81    2.84    2.58    2.98    2.89    2.67    2.94    2.93    2.77    2.79    2.72    2.96    2.98    2.58    2.26    2.90    2.76    2.72    2.99    2.71    2.93 
## 5453982 5454109 5454802 5454969 5455227 5455560 5455763 5456303 5456371 5456486 5457019 5457258 5457837 5458062 5458417 5458521 5458670 5458759 5458978 5459031 5459033 5459368 
##    2.91    2.92    2.90    2.74    2.66    2.76    2.97    1.93    2.14    2.94    2.78    2.40    2.70    2.91    2.93    2.30    2.68    2.94    2.94    2.70    2.73    1.65 
## 5459498 5459620 5460199 5460931 5461434 5461606 5461757 5462021 5463332 5463555 5463679 5464142 5464271 5464502 5465897 5466073 5466226 5466402 5468387 5468400 5468634 5468792 
##    2.96    2.00    2.62    2.83    2.88    1.65    2.41    2.76    2.67    2.84    2.46    1.59    2.98    2.87    2.81    2.67    2.36    2.98    2.73    3.00    2.84    2.75 
## 5469439 5469626 5470042 5471228 5471358 5471481 5471504 5471513 5471935 5472796 5473111 5473186 5474063 5474071 5475026 5475336 5475391 5475588 5475607 5475661 5475665 5475670 
##    2.91    3.00    2.58    2.32    2.65    2.98    1.95    2.32    2.40    3.00    2.54    2.58    2.95    2.89    2.71    2.45    2.53    2.45    2.86    2.93    2.58    2.77 
## 5476509 5476799 5477586 5477691 5478095 5478189 5478228 5478465 5478520 5478550 5478586 5478672 5478865 5479456 5479637 5480192 5480540 5480711 5480724 5481330 5481391 5481954 
##    2.82    2.51    2.84    2.85    2.32    2.41    2.92    2.61    2.96    2.62    2.72    2.89    2.90    2.73    2.94    2.22    2.62    1.85    2.99    2.70    2.84    2.93 
## 5482523 5482817 5483092 5483218 5483909 5484106 5484538 5484539 5485303 5485929 5485989 5486129 5486666 5487625 5487635 5488050 5488190 5488304 5489176 5489662 5489930 5490092 
##    2.90    2.67    2.78    2.94    2.75    2.90    2.03    2.92    2.91    2.95    2.63    2.38    2.81    2.95    2.97    2.48    2.95    2.98    2.78    2.56    2.95    2.88 
## 5490598 5490778 5490809 5491059 5491558 5491690 5491749 5491755 5491806 5492121 5492459 5492507 5492633 5493257 5494220 5494372 5495027 5495490 5495733 5496103 5496253 5496608 
##    2.74    2.67    2.67    2.47    2.08    2.73    2.81    2.33    2.67    2.66    2.44    2.95    2.67    2.64    2.85    2.91    2.33    2.74    2.66    2.54    2.97    2.87 
## 5497086 5497311 5497459 5497687 5497790 5497804 5497965 5498179 5498208 5498286 5498437 5498858 5499136 5499235 5499269 5499499 5499890 5500174 5500396 5500628 5501435 5501618 
##    2.36    2.58    2.49    2.60    2.61    2.96    2.93    2.85    2.89    2.76    2.96    2.47    2.91    1.86    2.88    2.33    2.69    1.88    2.77    2.68    2.21    2.96 
## 5501622 5501742 5502083 5502362 5502619 5502736 5503054 5504328 5505427 5505620 5505684 5506345 5506624 5508852 5508898 5509079 5509092 5509574 5509968 5510641 5510745 5510809 
##    2.98    2.30    2.27    2.79    2.91    2.91    2.84    2.87    2.51    2.82    2.81    2.84    2.98    3.00    2.64    2.98    2.85    2.88    2.90    2.32    2.85    2.72 
## 5510925 5511364 5511628 5511683 5511927 5511936 5512130 5512298 5512376 5512420 5512837 5512902 5513045 5513910 5514884 5514908 5515245 5515472 5515657 5515670 5516043 5516222 
##    2.92    2.53    2.79    2.88    2.94    2.49    2.93    2.60    2.95    2.83    2.74    2.56    2.21    2.50    2.87    2.10    2.23    2.89    2.93    2.99    2.61    2.85 
## 5517133 5517259 5517698 5517703 5517739 5517757 5518180 5518435 5518784 5518871 5519488 5519502 5519583 5519643 5519813 5520153 5521139 5521409 5521568 5522042 5522111 5522202 
##    2.30    2.69    2.49    2.45    2.95    2.96    2.99    2.31    2.88    2.95    2.38    2.66    2.80    2.64    2.87    2.96    3.00    2.97    2.73    2.67    2.76    2.83 
## 5522265 5522722 5522890 5523030 5523083 5523559 5523819 5523883 5524376 5524807 5524858 5525194 5525215 5525403 5525505 5525632 5525855 5525894 5526252 5526281 5526502 5526782 
##    2.68    2.93    2.43    2.64    2.86    2.51    2.31    2.94    2.32    2.87    2.93    3.00    2.83    2.98    2.91    2.98    2.85    2.67    2.18    2.98    2.83    2.86 
## 5526825 5527576 5527817 5527875 5528124 5528698 5528936 5529174 5529425 5529537 5529603 5529888 5530492 5531649 5532182 5532367 5532388 5532608 5532728 5532760 5532861 5533221 
##    2.40    2.56    2.93    2.93    2.83    2.96    2.58    2.90    2.26    2.90    2.37    2.84    2.85    2.96    2.85    2.75    2.60    2.81    2.93    2.98    2.74    1.37 
## 5533370 5533645 5533961 5533962 5533987 5534264 5534361 5534407 5534657 5535295 5535329 5535681 5535792 5535827 5536017 5536509 5537167 5537561 5537640 5537795 5538016 5539134 
##    2.86    2.65    2.51    2.35    2.73    2.69    2.66    2.54    2.90    2.55    2.56    2.38    2.19    2.67    2.80    2.90    2.74    2.72    2.75    2.97    2.28    2.82 
## 5539231 5539471 5540277 5540351 5540416 5541337 5541762 5541806 5542318 5542739 5542985 5543046 5543254 5543889 5544037 5544262 5544538 5544819 5544868 5545417 5545534 5546025 
##    2.86    2.91    2.00    2.86    2.89    2.50    2.54    2.93    2.18    2.56    2.96    2.70    2.90    2.80    2.46    2.84    2.73    2.82    2.49    2.31    2.58    2.43 
## 5546491 5546772 5547178 5547806 5547900 5548653 5548955 5549016 5549275 5549925 5549972 5550376 5550620 5550850 5551197 5551206 5551402 5551640 5552316 5552342 5552387 5552923 
##    2.33    2.92    2.63    2.57    2.97    2.89    2.94    2.86    2.48    1.81    2.40    2.81    2.53    2.72    2.93    2.76    2.36    2.48    2.07    2.90    2.44    2.55 
## 5553008 5553154 5553285 5553361 5553709 5554023 5554134 5554604 5554688 5554824 5554913 5555348 5555486 5555533 5555953 5555977 5556549 5556965 5557245 5557300 5557321 5558358 
##    2.21    2.87    2.98    2.61    2.64    2.24    2.99    2.43    2.99    2.67    2.61    2.42    2.77    2.73    2.98    2.42    2.91    2.51    2.41    2.94    2.61    2.77 
## 5559007 5559355 5560283 5560368 5560585 5560674 5560919 5561408 5561842 5562481 5562707 5562906 5563003 5563234 5563479 5563788 5564019 5564108 5564969 5565070 5565556 5565863 
##    2.25    2.49    2.62    2.55    2.71    3.00    2.66    2.90    2.72    2.63    2.20    2.96    2.88    2.80    2.34    2.68    2.91    2.75    2.64    2.87    2.67    1.87 
## 5566121 5566279 5566316 5566760 5567104 5567201 5567593 5567777 5567796 5567929 5568185 5568270 5568547 5568567 5568607 5568866 5569172 5569355 5569472 5569719 5569778 5569868 
##    2.24    2.98    1.89    2.67    2.92    2.18    2.82    2.83    2.84    2.88    2.45    2.87    2.52    2.64    2.76    2.17    1.58    2.76    2.51    2.26    3.00    2.92 
## 5569934 5569974 5570040 5570562 5570660 5570934 5570960 5571247 5571438 5571499 5571846 5571948 5572895 5573173 5573272 5573491 5573611 5574373 5574498 5574544 5574951 5575063 
##    2.73    2.23    2.80    2.54    2.43    2.92    2.40    2.95    2.81    2.88    2.78    2.41    2.89    2.66    2.68    2.50    2.65    2.86    2.98    2.95    2.83    2.62 
## 5575076 5575143 5575303 5575674 5575941 5576495 5576612 5576884 5577150 5577823 5577850 5578044 5578458 5578865 5578891 5579036 5579416 5579614 5579878 5580149 5580190 5580412 
##    2.66    2.31    2.69    2.88    2.70    2.65    2.59    2.63    2.79    2.81    2.63    2.92    2.79    2.42    2.68    2.94    2.83    2.53    2.91    2.54    2.32    2.67 
## 5580540 5580603 5580671 5580682 5580844 5581219 5581246 5582540 5582567 5582806 5583218 5583335 5584768 5585399 5585775 5585972 5586045 5586053 5586076 5586780 5587078 5587121 
##    2.62    2.40    2.36    2.74    2.70    2.49    2.96    2.63    2.85    2.58    2.88    2.52    2.43    2.84    2.99    2.74    2.71    2.79    2.54    2.77    2.34    2.96 
## 5587333 5587694 5588790 5588893 5589281 5590046 5590777 5591088 5592373 5592753 5592758 5592891 5593167 5593553 5594138 5594156 5594253 5594334 5594458 5594756 5595031 5595123 
##    2.43    2.86    2.70    2.80    2.58    2.98    2.93    2.89    2.24    2.59    2.71    2.93    2.98    1.98    2.67    2.92    2.90    2.45    2.78    2.99    2.92    3.00 
## 5595308 5595658 5595712 5595857 5595935 5596026 5596049 5596109 5596934 5597021 5597094 5597156 5597225 5597356 5597487 5598324 5598820 5598902 5599053 5599162 5600319 5600632 
##    2.83    2.33    2.64    2.90    2.98    2.96    1.86    2.72    2.87    2.52    2.96    2.87    2.75    2.41    2.38    2.24    2.91    2.49    2.84    2.94    2.78    2.88 
## 5600955 5601057 5601182 5602235 5602675 5603061 5603469 5603739 5603780 5603857 5604942 5605078 5605210 5605584 5605726 5605788 5607629 5607714 5607894 5607903 5608344 5608518 
##    2.80    2.87    2.57    2.19    2.72    2.87    2.94    2.89    2.97    1.95    2.66    3.00    2.96    2.85    2.98    1.62    2.59    2.73    2.72    2.84    2.79    2.41 
## 5609228 5610535 5610699 5610971 5611129 5611478 5612103 5612222 5612456 5612604 5613113 5613502 5613558 5613857 5614519 5614623 5614827 5614895 5615599 5616165 5616600 5616973 
##    2.80    2.29    2.71    2.70    2.04    2.55    2.92    2.78    2.89    2.70    2.99    2.47    2.97    2.87    2.64    2.94    2.48    2.70    2.86    2.80    2.98    1.85 
## 5617048 5617133 5618039 5618500 5618637 5618899 5619957 5620895 5620898 5620922 5621127 5621154 5621497 5621779 5621857 5622162 5622191 5622408 5623006 5623190 5623203 5623306 
##    3.00    2.44    2.00    2.90    2.84    2.99    2.55    2.97    2.80    2.97    2.35    2.92    2.88    2.40    2.18    2.37    2.59    2.82    2.39    2.51    2.74    2.98 
## 5623403 5624205 5624283 5624295 5624666 5625694 5626446 5626620 5626627 5627001 5627014 5627365 5627446 5627719 5627758 5627895 5628032 5628308 5628401 5628449 5628968 5629338 
##    2.96    2.89    2.57    2.28    2.76    2.74    2.71    2.97    2.57    1.92    2.63    2.71    2.75    2.70    2.69    2.41    1.95    2.92    2.52    2.66    2.61    2.94 
## 5629685 5629953 5630484 5630551 5630723 5630839 5631147 5631166 5631482 5631507 5631893 5632461 5632510 5632991 5633240 5633289 5633603 5633631 5633718 5633722 5634241 5634855 
##    2.93    2.98    2.79    2.59    2.78    2.95    2.81    2.83    2.90    2.49    2.85    2.94    2.51    2.16    2.75    2.48    1.63    2.98    2.35    2.70    2.94    2.24 
## 5634974 5634980 5635364 5635774 5636670 5636748 5637403 5637590 5637893 5638177 5638200 5638539 5638916 5639044 5639704 5639753 5640098 5640312 5640412 5641216 5642325 5642455 
##    2.82    2.94    2.99    2.89    2.95    2.61    2.49    2.51    2.76    2.69    2.62    2.67    2.96    2.84    2.77    2.95    2.95    2.41    2.17    2.42    2.65    2.67 
## 5642786 5643391 5643550 5643783 5644144 5644200 5644566 5644661 5644917 5645274 5646339 5646827 5647248 5647287 5647326 5647385 5647783 5648012 5648046 5648324 5648816 5649113 
##    2.59    1.95    2.65    1.92    2.81    2.67    2.83    2.52    2.98    2.26    2.77    2.70    2.96    2.97    2.95    2.98    2.96    2.80    2.81    2.74    2.76    2.97 
## 5649195 5649940 5650487 5650492 5650815 5650866 5651088 5651230 5651272 5651319 5651361 5651683 5651763 5652077 5652080 5652150 5652430 5652858 5653280 5653702 5654171 5654452 
##    2.86    2.56    2.52    2.36    2.86    2.38    2.83    2.34    1.81    2.03    2.23    2.89    2.99    2.94    2.89    2.19    2.96    2.99    2.71    2.65    2.04    2.71 
## 5654484 5654889 5654976 5655061 5655324 5656229 5656343 5656491 5656685 5656753 5656897 5656978 5657191 5657262 5658201 5658765 5659157 5659257 5659626 5659976 5660946 5661085 
##    2.96    2.22    2.92    2.68    2.98    2.85    2.61    2.68    2.74    2.18    2.97    2.75    2.92    2.89    2.26    2.60    2.65    2.87    2.53    2.95    2.55    2.63 
## 5662229 5662302 5662644 5662682 5662711 5662806 5663035 5663157 5663161 5663381 5663520 5663817 5664384 5664493 5664712 5664970 5665036 5665716 5666316 5666753 5666846 5666904 
##    2.75    2.95    2.74    2.52    2.42    2.15    2.91    2.89    2.80    2.42    2.72    2.86    2.76    2.91    2.94    2.09    2.32    2.34    2.84    2.24    2.23    2.32 
## 5666911 5667147 5667428 5667674 5667842 5668371 5668720 5669762 5670020 5670905 5671069 5671536 5671594 5671678 5671969 5672152 5672289 5672528 5672644 5673302 5673899 5674034 
##    2.78    2.97    2.88    2.39    2.76    2.00    2.98    2.40    2.65    2.98    2.93    2.93    2.67    2.55    2.56    2.86    2.53    2.90    2.89    2.13    2.64    2.39 
## 5674085 5675184 5675219 5675225 5676203 5676406 5676504 5676674 5677122 5677400 5677845 5678430 5678462 5678498 5678717 5678719 5678780 5678904 5678943 5678951 5678965 5679875 
##    2.74    2.64    2.57    2.92    2.82    2.75    2.43    2.24    2.84    2.54    2.98    2.55    2.26    2.82    2.77    2.61    2.96    2.69    2.93    2.61    2.23    2.86 
## 5680116 5680126 5680396 5680438 5680695 5680847 5680904 5681011 5681298 5681419 5681867 5682006 5683772 5684649 5684927 5685828 5686298 5686313 5686609 5686809 5687074 5687140 
##    2.86    2.63    2.03    2.74    2.51    2.87    2.51    2.75    3.00    2.73    2.58    2.61    2.59    2.80    2.32    2.93    2.97    2.95    2.67    2.92    2.92    2.68 
## 5687303 5687549 5687749 5688228 5688409 5688534 5688633 5688666 5688971 5689231 5689232 5689241 5689423 5689985 5690468 5690575 5690696 5691207 5691491 5691774 5692288 5692584 
##    2.81    2.85    2.98    2.97    2.92    2.00    2.63    2.38    2.84    2.49    2.97    2.53    2.68    2.95    2.02    2.80    2.57    2.77    2.58    2.78    2.90    2.73 
## 5692646 5692680 5692784 5692813 5693720 5693740 5694175 5694254 5694302 5694584 5694761 5695299 5695539 5695891 5696129 5696137 5696678 5696916 5697430 5697489 5697549 5697684 
##    2.74    2.66    2.83    2.09    2.98    2.39    2.95    2.96    2.82    2.95    2.34    2.89    2.75    2.98    2.94    2.78    2.41    2.99    2.92    2.99    2.89    3.00 
## 5697985 5698083 5698139 5698160 5698210 5698674 5698686 5699011 5699559 5699809 5699865 5700933 5701000 5701674 5702270 5702661 5703563 5704069 5704430 5704834 5705107 5705108 
##    2.63    2.75    2.97    2.55    2.77    2.89    2.99    2.36    2.98    2.98    2.90    2.81    2.86    2.92    2.43    2.72    2.95    2.97    2.82    2.52    2.78    2.71 
## 5705119 5705235 5705564 5705712 5706109 5706813 5707052 5707691 5708369 5708737 5708945 5709241 5709275 5709451 5709711 5709895 5709897 5710098 5710568 5710737 5710966 5711593 
##    2.46    2.83    2.48    2.26    2.32    2.76    2.70    2.28    2.83    2.81    2.79    2.67    2.98    2.74    2.61    2.25    2.86    2.62    2.70    1.87    2.79    2.33 
## 5711927 5712160 5712577 5712750 5713226 5713726 5714320 5714642 5714758 5715008 5715214 5715590 5716397 5716695 5716936 5717493 5717688 5717846 5718173 5718785 5718914 5718988 
##    2.62    2.67    2.97    2.73    2.07    2.94    2.78    2.76    2.17    2.99    2.88    2.99    2.50    2.93    2.82    2.47    2.80    2.96    2.80    2.41    2.96    2.49 
## 5719110 5720398 5720745 5720953 5721000 5721001 5721163 5721167 5721266 5721372 5722126 5722401 5722556 5722803 5723285 5723448 5723476 5723486 5723732 5723814 5723818 5724091 
##    2.41    2.84    2.99    2.62    2.39    2.00    2.44    2.79    2.04    2.78    2.73    2.75    2.95    2.88    2.60    2.82    2.68    2.62    2.93    3.00    2.09    2.74 
## 5724437 5724496 5724946 5725241 5725565 5725664 5726435 5726919 5727328 5727430 5727706 5728308 5728587 5728723 5728930 5729163 5729304 5729453 5729612 5729626 5729774 5730357 
##    2.78    2.96    2.99    2.67    2.97    2.74    2.62    2.86    2.85    2.39    2.41    2.99    2.99    2.42    2.65    2.63    2.46    2.84    2.65    2.88    2.80    2.22 
## 5730676 5730702 5730758 5730783 5731118 5731146 5731548 5731684 5731927 5732285 5732440 5732789 5733009 5733274 5733343 5733470 5733955 5734274 5734494 5734747 5735101 5736160 
##    2.95    2.43    2.97    2.98    2.28    2.93    2.83    2.91    2.93    2.28    2.08    2.66    2.04    2.41    2.72    2.69    2.83    2.87    2.29    2.67    2.77    2.95 
## 5736333 5736578 5737222 5738144 5738318 5739650 5741260 5741727 5741749 5742186 5742653 5742934 5743000 5743064 5743181 5743814 5744296 5744644 5745376 5745438 5745519 5745971 
##    2.85    2.78    2.52    2.80    2.76    2.78    2.03    2.98    2.94    2.12    2.50    2.98    3.00    2.34    2.73    2.99    2.97    2.97    2.91    2.23    2.96    2.03 
## 5746278 5746361 5746944 5747820 5747869 5748456 5748592 5748866 5749007 5749590 5750074 5750740 5751311 5751553 5751657 5751664 5751879 5752042 5752168 5752418 5752465 5752590 
##    2.78    2.80    2.84    2.44    2.79    2.98    2.91    2.93    2.53    2.20    2.65    2.81    2.69    2.85    2.83    2.78    2.53    2.88    2.55    2.34    2.91    2.09 
## 5752820 5752875 5752942 5752987 5752990 5753967 5754146 5754187 5754763 5754820 5755549 5755891 5756074 5756107 5756323 5756416 5756485 5756682 5756798 5757016 5757669 5757909 
##    2.57    2.44    2.39    2.16    2.65    2.92    2.70    2.26    2.79    2.47    1.94    2.69    2.21    2.42    1.67    2.79    2.51    2.81    2.84    2.98    2.72    2.93 
## 5758726 5758899 5758957 5759124 5759292 5759411 5759890 5760153 5760441 5761214 5761468 5761724 5761982 5762594 5762921 5762957 5763198 5763335 5763474 5764569 5764826 5765013 
##    2.59    2.65    2.45    2.20    2.75    2.87    2.54    2.65    2.88    1.96    2.64    2.83    2.80    2.86    2.93    2.47    2.11    2.85    2.74    2.76    2.84    2.60 
## 5765378 5765643 5765666 5765825 5766055 5766421 5766541 5766678 5767201 5768620 5768752 5768807 5768835 5768956 5769732 5769999 5770376 5770511 5770564 5770693 5770798 5771628 
##    2.91    2.83    2.96    2.42    2.88    2.84    2.93    2.43    2.86    2.75    2.54    2.90    2.59    2.53    2.02    2.75    2.85    2.91    2.34    1.93    2.66    2.99 
## 5771832 5771968 5772622 5772643 5772837 5772989 5773555 5773763 5774031 5774462 5774829 5774841 5775169 5775476 5775521 5776091 5776323 5776418 5776762 5776969 5777811 5777939 
##    2.46    2.25    2.73    1.61    2.92    2.34    2.96    2.96    2.62    2.72    2.84    2.94    2.87    2.50    2.97    2.58    2.70    2.32    2.91    2.67    2.68    2.74 
## 5777949 5777968 5778112 5778683 5779607 5779655 5779797 5780491 5780571 5780950 5781559 5781845 5782057 5782295 5782574 5782743 5782923 5782950 5782965 5783081 5783380 5783429 
##    2.84    2.77    2.94    2.94    2.93    2.84    2.33    2.90    2.35    2.87    2.90    2.87    2.71    1.53    3.00    2.30    2.87    2.92    2.19    2.42    2.65    2.75 
## 5784364 5784465 5784492 5784633 5785726 5786178 5786234 5786436 5786739 5786767 5787054 5787065 5787179 5787355 5787485 5787607 5787739 5788371 5788591 5788666 5789054 5789408 
##    2.81    2.59    2.09    2.99    2.55    2.89    2.59    2.38    2.84    2.44    2.84    2.96    2.92    2.62    2.92    2.67    2.88    2.67    2.92    2.68    2.57    2.89 
## 5790029 5790358 5790771 5790795 5791027 5791476 5792067 5793363 5793491 5793791 5793898 5793906 5793973 5794577 5794681 5795260 5796366 5796432 5796490 5796928 5797173 5797615 
##    2.99    2.32    2.81    2.62    2.78    2.92    2.81    2.85    2.55    3.00    2.45    2.76    2.86    2.50    2.96    2.67    2.94    2.78    2.90    2.65    2.99    2.81 
## 5797702 5798309 5798662 5798796 5799080 5799450 5799959 5800031 5800285 5802190 5802425 5803266 5803314 5803468 5803593 5803737 5803852 5803971 5804013 5804668 5805051 5805231 
##    2.70    2.66    2.87    2.63    2.49    2.56    2.73    2.61    2.52    2.63    2.38    2.77    2.91    2.64    2.76    1.72    2.33    2.92    2.51    2.78    2.81    2.78 
## 5805313 5805358 5805430 5805710 5805767 5805850 5806328 5806343 5806450 5806641 5806952 5807193 5808909 5809326 5809400 5809595 5809765 5810006 5812514 5812749 5812861 5813451 
##    2.93    2.73    2.06    2.93    2.92    2.93    2.97    2.86    2.73    2.44    2.09    2.96    2.70    2.97    2.67    2.89    2.82    2.83    2.08    2.32    2.60    2.34 
## 5813974 5814004 5814693 5815930 5816510 5816821 5817063 5817671 5817895 5818084 5818514 5818772 5818780 5819139 5819510 5819708 5820271 5820570 5821244 5821316 5821630 5821913 
##    2.77    2.84    2.85    2.73    2.97    2.89    2.67    2.78    2.96    2.76    2.42    2.61    2.78    2.68    2.78    2.79    2.96    2.91    2.88    2.56    2.22    2.60 
## 5822423 5822995 5823130 5823293 5823660 5823680 5824770 5824898 5825018 5825392 5825520 5825645 5825788 5826660 5827404 5827474 5827953 5828263 5828376 5828421 5828593 5828832 
##    2.93    2.88    2.42    2.62    2.58    2.89    2.83    2.98    2.25    2.72    2.82    2.83    2.99    2.96    2.75    2.89    2.94    2.48    2.69    2.94    2.96    2.89 
## 5829442 5829564 5829949 5830136 5830390 5830544 5832519 5832745 5833555 5833621 5833687 5834016 5834451 5834544 5835233 5835707 5835861 5835936 5836559 5836819 5837043 5837765 
##    2.64    2.98    2.75    2.94    2.99    2.85    2.46    2.08    2.73    2.61    2.52    2.56    2.89    2.88    2.35    2.12    1.94    2.79    2.93    2.85    2.99    2.85 
## 5838408 5838463 5838836 5838968 5839133 5839203 5839335 5839830 5839843 5840043 5840652 5840863 5841544 5842013 5842052 5842287 5842301 5842673 5842911 5843706 5844718 5844761 
##    2.67    2.57    2.78    2.93    2.89    2.17    2.97    2.88    2.28    2.85    2.99    2.57    2.94    2.82    2.78    2.94    2.79    2.71    2.91    2.70    2.74    2.00 
## 5844919 5845287 5845743 5846001 5846015 5846086 5846710 5846904 5847074 5847480 5847811 5848199 5849144 5849953 5850758 5850872 5852497 5852738 5852751 5852975 5853253 5853278 
##    2.58    2.91    2.59    3.00    2.96    2.94    2.62    2.97    2.93    2.90    2.21    2.86    2.40    2.98    2.68    2.51    3.00    2.91    2.94    2.96    2.97    2.61 
## 5853791 5853854 5855070 5855418 5855434 5855814 5855836 5855960 5855984 5856508 5856704 5856934 5857485 5858076 5859320 5859762 5860409 5860852 5861400 5861549 5862170 5862800 
##    2.63    2.67    2.87    2.63    2.39    2.85    2.03    2.97    2.18    2.48    2.86    2.84    2.27    2.79    2.59    2.87    2.39    2.65    2.64    2.76    2.17    2.60 
## 5862810 5863863 5864497 5864766 5865517 5865831 5866049 5866365 5866622 5866891 5867793 5867930 5867964 5868155 5868281 5868523 5868719 5868735 5868831 5868957 5869238 5869818 
##    2.96    2.58    2.92    2.17    2.33    2.93    2.94    2.79    2.97    2.40    2.02    2.35    2.59    2.47    2.99    1.41    2.69    2.12    2.66    2.65    3.00    2.03 
## 5870016 5870053 5870201 5871135 5871559 5871730 5872025 5872300 5872570 5872701 5872722 5872726 5872741 5872889 5872969 5873002 5873796 5873878 5874055 5874285 5874373 5874391 
##    2.89    2.73    2.79    2.88    2.99    2.70    2.40    2.76    2.89    2.99    2.94    2.79    2.78    2.94    3.00    2.79    2.82    2.68    2.19    2.90    2.83    2.37 
## 5874400 5875496 5875505 5875545 5876155 5876425 5876680 5876813 5877252 5877476 5878279 5878287 5878683 5879444 5879536 5879713 5879861 5880016 5880151 5880980 5881296 5881532 
##    2.82    2.93    2.49    2.83    2.97    2.83    2.82    2.76    2.67    2.79    2.91    2.59    2.89    2.62    2.43    2.58    2.92    2.78    2.75    2.94    2.99    2.52 
## 5881717 5881791 5882074 5883217 5883826 5884259 5884860 5884952 5887887 5888135 5888173 5888196 5888272 5888603 5888797 5889077 5890015 5890235 5890523 5891089 5891439 5891691 
##    2.72    2.19    2.33    2.81    2.37    2.83    2.44    2.27    2.77    2.60    2.83    2.92    2.99    2.86    2.61    2.90    2.38    2.44    2.05    2.69    2.81    2.36 
## 5892675 5892805 5893012 5893116 5893356 5893751 5893761 5893876 5894017 5894286 5894293 5894471 5894565 5894674 5894746 5894869 5894878 5895226 5895714 5895743 5895748 5895836 
##    2.78    2.91    2.97    2.75    2.93    2.78    2.84    2.95    2.81    2.97    2.94    2.12    2.93    2.58    2.40    2.50    2.95    2.82    2.66    2.94    2.35    2.78 
## 5896518 5896780 5897938 5898129 5898193 5898455 5898725 5899020 5899289 5899416 5899528 5899610 5899691 5900731 5901345 5901469 5901523 5901841 5902835 5904028 5904702 5905618 
##    2.84    2.99    2.99    2.73    2.93    2.81    2.43    2.46    2.75    2.91    2.91    2.88    2.43    2.88    2.86    2.97    2.92    2.83    2.92    2.99    2.43    2.88 
## 5905676 5906122 5906183 5906228 5906505 5907008 5907420 5908567 5908775 5908941 5909478 5909696 5909884 5910981 5911390 5911714 5912203 5912385 5912437 5912820 5913309 5913343 
##    2.89    2.90    2.97    2.03    2.68    2.85    3.00    2.93    2.65    2.26    2.75    2.47    2.56    2.75    2.89    2.83    2.29    2.84    2.98    2.87    2.91    2.38 
## 5913418 5913423 5913651 5913741 5913766 5913911 5913993 5914189 5914579 5915076 5915307 5915394 5916010 5916378 5916397 5916891 5917149 5917301 5917798 5918201 5918338 5918384 
##    2.83    2.96    2.70    2.62    2.91    2.80    2.43    2.82    2.65    2.79    2.83    2.81    2.76    2.74    2.45    2.38    2.56    2.76    2.96    2.98    2.90    1.79 
## 5919160 5919409 5919511 5919666 5919899 5920369 5920940 5921090 5921169 5921677 5921812 5922297 5922400 5922941 5922942 5922957 5923066 5923091 5923372 5924483 5924555 5924652 
##    1.93    2.95    2.06    2.74    2.87    2.97    2.83    2.77    2.65    2.68    2.53    2.45    2.97    2.60    2.84    2.57    2.16    2.87    1.98    2.85    2.66    2.84 
## 5924854 5925026 5925143 5925597 5925711 5925852 5926134 5926493 5926566 5926649 5927019 5927272 5927789 5927898 5928553 5928625 5929391 5929401 5929541 5929603 5929629 5929785 
##    2.92    3.00    2.91    2.79    2.81    1.92    2.98    2.97    2.77    2.09    2.94    2.90    2.70    2.75    1.43    2.92    2.82    2.35    2.85    2.96    2.45    2.49 
## 5929803 5930617 5930952 5931148 5931158 5931297 5931669 5932012 5932223 5932300 5932596 5932745 5933050 5933379 5933951 5934253 5934381 5934837 5934853 5935074 5935710 5935808 
##    2.86    2.56    2.84    2.90    2.92    2.58    2.81    2.98    2.81    2.82    2.26    1.70    2.82    2.72    2.42    2.99    2.89    2.59    2.78    2.79    2.63    2.76 
## 5936140 5936196 5936853 5937221 5937602 5937711 5938546 5938586 5938964 5939128 5939338 5939411 5939492 5939615 5939901 5939928 5940362 5940574 5941201 5941306 5941451 5941913 
##    2.78    2.86    2.87    2.84    2.83    2.88    2.98    2.63    2.61    2.52    2.68    2.87    2.87    2.74    2.96    2.72    2.64    2.57    2.79    2.78    2.97    2.98 
## 5941980 5942217 5942315 5942475 5943056 5943976 5944236 5944325 5944916 5945109 5945240 5945313 5945404 5945976 5946113 5946355 5946405 5946734 5946967 5947723 5947947 5948039 
##    2.36    1.76    2.89    2.28    2.95    2.92    2.98    2.95    2.94    2.93    2.32    2.90    2.93    2.26    2.84    2.62    2.58    2.96    2.44    2.53    2.76    2.44 
## 5948202 5948428 5948728 5948959 5949103 5949251 5949341 5950106 5950113 5950181 5950508 5950802 5951662 5951742 5951812 5951862 5952093 5952244 5952253 5952369 5952684 5952946 
##    2.74    2.73    2.83    2.26    2.83    2.63    2.73    2.33    2.64    2.88    2.48    2.54    2.48    2.62    2.51    2.86    2.94    2.98    2.77    2.98    2.85    2.61 
## 5952955 5953334 5953435 5953527 5953601 5954121 5954194 5954453 5954889 5954937 5955960 5957532 5958117 5958119 5959073 5959074 5959204 5959434 5959466 5959575 5960004 5960803 
##    2.20    2.95    2.83    2.80    2.82    2.94    2.81    2.68    2.30    1.89    2.86    1.94    2.79    1.80    1.98    2.35    2.88    2.64    2.89    2.33    2.53    2.85 
## 5961124 5961205 5961349 5961614 5961624 5961629 5962371 5962438 5962939 5962940 5963287 5964077 5964150 5964185 5964493 5964524 5965381 5965605 5965645 5965954 5966018 5966204 
##    2.82    2.63    2.91    2.78    2.94    2.74    2.79    2.96    2.88    2.24    2.57    2.59    2.87    2.82    2.88    2.85    2.75    2.85    2.70    2.71    2.81    2.95 
## 5966457 5966993 5967068 5967245 5967741 5967843 5968521 5968609 5968749 5969746 5969972 5970257 5970284 5970752 5971285 5971713 5971730 5971920 5972232 5972735 5972799 5973036 
##    1.83    2.29    2.84    2.24    2.68    2.64    2.76    2.66    2.50    2.14    2.37    2.73    2.47    2.63    2.85    2.32    2.28    2.94    2.76    2.82    2.83    2.95 
## 5973100 5973567 5974071 5974215 5974359 5974368 5974435 5974564 5974764 5974896 5974964 5975151 5975584 5976063 5976796 5976948 5976997 5977127 5978001 5978235 5978347 5978405 
##    2.76    2.47    2.83    2.94    2.43    2.65    2.78    2.87    2.91    2.89    1.85    2.56    2.10    2.96    2.83    2.40    2.98    2.00    2.96    2.81    2.80    2.91 
## 5978657 5978862 5979179 5979325 5979372 5979736 5980401 5980973 5981141 5981310 5981339 5981423 5981690 5981813 5981862 5982401 5982604 5982779 5983158 5983187 5983216 5983464 
##    2.78    2.95    2.77    2.62    2.86    2.82    2.91    2.50    2.77    2.26    2.45    2.26    2.84    2.87    3.00    2.47    2.82    2.37    2.97    2.92    2.45    2.82 
## 5983511 5983601 5983770 5983852 5984384 5987220 5987283 5987403 5987816 5987920 5988102 5988176 5988223 5988224 5988232 5989129 5989291 5989814 5991151 5991600 5991669 5991676 
##    2.86    2.90    2.90    2.43    2.91    2.81    2.68    2.57    2.27    2.81    2.68    2.97    2.69    2.79    2.77    2.82    2.72    2.97    2.87    2.99    1.75    2.56 
## 5991779 5991865 5992391 5993247 5993452 5993491 5994012 5994244 5994595 5994848 5995499 5995567 5995659 5995707 5995792 5996399 5996636 5997309 5997584 5997919 5998065 5998233 
##    2.49    2.95    2.97    2.88    2.97    2.72    2.98    1.84    2.66    2.84    2.78    2.95    2.38    2.64    2.65    2.23    2.78    2.72    2.28    2.77    2.50    2.82 
## 5998550 5998642 5998693 5999097 5999711 
##    2.94    2.98    2.78    2.65    2.60
## [1] "5183386"

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 53 134 71
Black 8 16 36 62 74 53 134 74
X1min <- tbl1 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X1min
## X-squared 
## 0.4796786

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 385 72
Black 388 69
X3min <- tbl3 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X3min
##  X-squared 
## 0.07547274

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 374 83
Black 374 83
X4min <- tbl4 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X4min
## X-squared 
##         0

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 45 35 42 50 34 57 47 43 47 57
Black 42 34 39 50 36 59 48 44 49 54
X5min <- tbl5 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X5min
## X-squared 
## 0.4610623

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 85 72 34 266
Black 84 71 34 268
X6min <- tbl6 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X6min
## X-squared 
## 0.0204008

Sum of Chi_Squares

Xsum_min <- X1min + X2min + X3min + X4min + X5min + X6min
Xsum_min
## X-squared 
##   1.05415