barplot

막대그래프로 답안 분포를 시각적으로 살핀다. 차후 나오는 정답률과 함께 어느 문항에서 어느 답안을 많이 고르는지 파악하는 데 활용한다.

Counts
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25
0 2 142 1 1 14 168 11 8 1 169 1 2 3 2 162 36 1 167 5 2 18 167 5 3
1 1 5 0 156 13 2 6 61 163 1 76 162 3 17 5 3 165 0 6 155 24 4 6 150
170 7 4 168 13 17 0 10 100 6 1 91 1 1 140 3 9 4 2 156 5 9 0 156 7
0 161 20 2 0 127 1 143 2 1 0 2 6 164 12 1 123 0 1 4 8 118 0 4 9
%
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25
0 1 83 1 1 8 98 6 5 1 99 1 1 2 1 95 21 1 98 3 1 11 98 3 2
1 1 3 0 92 8 1 4 36 95 1 45 95 2 10 3 2 97 0 4 91 14 2 4 89
99 4 2 98 8 10 0 6 58 4 1 54 1 1 82 2 5 2 1 91 3 5 0 91 4
0 94 12 1 0 74 1 84 1 1 0 1 4 96 7 1 72 0 1 2 5 70 0 2 5

문해력 점수 계산

정답과 대조하여 R(Right)/W(Wrong) 표시
A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25
R R R R R R R R R R R W R R R R W R R R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R W R R R R R W R R W R R W R R W R R R R R W R
R R R R R R R R W R R W R R R R W R R R R W R R R
R R W R R W R R R R R W R R R R R R R R R W R R R
R R R R R W R R R R R W W R W R R R R W R W W R W
R R W R R W R R R R R R R R R R R R R R R W R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R W R R R R R R R R W R R R R R R R R
R R W R R R R R W R R R R R R R R R R R R R R R R
R R R R R R R R R R R W R R W R R R R R R R R R R
R R W R R R R R W R R W R R W W R R R R W W R R W
R R R R R R R R R R R R R R R R R R R R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R R R W R W R R R W R R R R W R R R R R R R R
R R R R R R R R W R R R R R W R R R R R R W R R R
R R R R R R R W W R R R R R R R W R R R W R R R R
R R R R R R R W R R R W R R W R R R R R R R R R W
R R R R R W R R W R R R R R R R R R R R R R R W R
R R R R R W R R W R R R R R R R R R R R R R R R R
R R W W R R R R R R R W R R R R R R R R R W R R W
R R W R R R R R W R R W R W R R R R R R W R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R W R R R R R R R R R R R R R
R R W R R R R R W R R R R R R R R R R R R R R R R
R R R R R W R R W R R W R R R W W R R R R W R R R
R R R R R W R R W R R R R R R R R R R W R R R R R
R R R R R R R R W R R R R R R R R R R R R R R W R
R R R R R R R R R R R W R R R R R R R R R R R R R
R W R R R W R R W R R R R R R R W R R R R W R W R
R R R R R R R R W R R R R R R R W R R R R W R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R R R R R R W R R W R R R R R R R R R R R R R
R R R R R R R R W R R R R R W R W R R R R R R R R
R W R R R R R R W R R W R R R R R R R R R W R R R
R R R R R W R W R R R W R R R R W R R R R W R R R
R W R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R W R R R R R R W R R R
R R R R R R R R R R R W W R R R R R R R R W R W R
R R R R W R R W W R R W R R R R W W R W R W R W W
R R R R R R R R W R R W R R R R R R R W R W R R W
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R W R W R R R R R W R R R R R R R R R R R R R
R R W R R R R R W R R W R R R R W R R W W R R R R
R R R R R W R R W R R R R R R R W R R R R W R R R
R R R R R R R R W R R W R R R R R R R R R W R R R
R R R R W W R R W R R W R R W R W R R R R W R R W
R R R R R R R R R R R W R R R R W R R R R W R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R W R R R R W W W W W W W R W W W R W R W W W W W
R R R R R R R R W R R W R W R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R W R R W R R R R R R W R R R
R R R R R W R R R R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R W W W R R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R W R R R R R R R R W R W R R R R R R R R
R R R R R W R R W R R W R R R R W R R W R W R W R
R R R R R R R R W R R W R R W R W R R R R R R R R
R R R R R R R R W R R W R R R R R R R R R R R R R
R R R R R R R R R R R W R R R R R R R R R W R R R
R R R R W R R R W R R R W R W R W W R R R R R R R
R R R R R R R W W W R W R R R R R R R R R W R R R
R R R R R R R R R R R R R R R R R R R R R W R R R
R R R R R R R R R R R R R R R R W R R R R R R W R
R R R R R R R R R R R W R R R R R R R R W R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R R R R R R R R R R R R R R R
R R R R R W R R W R R W R R R R R R R R R R R R R
R R R R R W R W W R R R R R R R R R R R R R R R R
R R R R R R R R R R R R W R R R R R R R R W R R R
R R R R R W R R R R R R W R R R W R R R R W R R R
R R R R R R R R R R R R R R R R R R R R R W R R W
R R W R W R R R R R R R R R R R R R R W R R R R R
R R R R R R R W R R R W R W R W W R R W W R R R W
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R R R R W R R R R R R R R R R
R R R R R R R R W R R W R R R R W R R R R R R R R
R R R R R R R W R R R R R R R R W R R R R R R R R
R R W R R R R R R R R R R R R R R R R R R W R R R
R R R R R R R R R R R R W R R R R R R R R R R R W
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R R W R W R R R R R R R R R R R R R
R W R R R R R R R R R R R R R R W R R R R R R R R
R R R R R R R R R R R W R R R R W W W R W W R R R
R R R R R R R R W R R W R R W R R R R R R R R R R
R R R R R R R R R W R W R R R R R R R R R W R R R
R R R R R R R W W W R W R R R R R R R R R R R R R
R R R R R W R W R R R W R R R R R R R R R R R R R
R R R R R W R R R R R R R R R R R R W R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R R R R R R W R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R R R R R R R R R R R R R R R
R R W R R R R R W R R W R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R R R R R R W R R R R R R R R R R R R R R R R
R R R R R R R R R R R W R R R R W R R R R W R R R
R R W R R R R W W R R R R R W R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R W R R W R R
R R R R R R R R R R R W R R W W W R R R R R R R W
R R R R R R R R R R R W R R R R R R R R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R W R R W R R W R R R R R R R R R W W R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R W R R R W R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R W
R R R R R W R R R R R R R R R R R R R R R R R R W
R W W W W R R W W R W W R W W W W W R R R R R R R
R R R R R W R R R R R R R W W R R R R R W W R R R
R R R R R R R R W R R W R R R W R R R R R R R R R
R R R R W R R R R R R R R R R R R R R R R R R R R
R R R R R R R W W R R W R R R R W R R R W W R R R
R R R R R R R W R R R R R R R R R R R R R R R R R
R R R R R W R R R R R R R R R R R R R R R R R R R
R R W R R R R W W R R W R R W R W R R R R R R R R
R R R R R R R R W R R W R R R R R R R R R R R R R
R R R R R W R R R W R W W W W R R R R R R R R R R
R R R R R R R W R R R R R R R R W R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R W R R R R R R R R R R R R R R R R R R R R R R
R R R R R W R R R R R R R R W R W R R R R R R R R
R R R R R R R R W R R W R R R R R R R R R W R W R
R R W R R R W W R R R R R R R R R R R W R W R W W
R R R R R W R R W R R W R R R R R R R R W R R R R
R R R R R R R R W R R R R R R R W R R R R R R R R
R R W R R R R W W R R W R R R R W R R R R W R R W
R R W R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R W R R R R R R R R
R R R R R R R R R R R W R R R R R R R R R R R R R
R R R R W R R R W R R W R R R R W R R W R R R R R
R R R R W R R R R R R W R R R R R R R R R R R R R
R R W R W W R R R R R R R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R W R R R R R R R R R R R R R R R R R
R R R R R R R R R R R W R R R R R R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R W R R W R R W R R W R R R R R R R W R R R R R
R R W R R W R R R R R R R R R R R R R R R R R R R
R R R R R R R R W R R R R R R R W R R R R W R R R
R R R R R R R R R R R W R R R R R R R R R R R R R
R R R R R R R R W R R R R R R R R R R R R W R R R
R W R R R W R R R R R R R R R R R R R R R W R R R
R R R R R W R W R R R R R R W R R R R R R W R R R
R R R R R R R R R R R W R R R R R R R R R R R R R
R R W R W W R R W R R R R R R R R R R R R W R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R R W R R R R R R R R W R R R R R R R R R R R R R
W R W R W W R R W R R W R R W R W W R W W W R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R W R R R R R W R R W R W R R R R R R R R
R R W R R R R R R R R W R R R R R R R R R W R R R
R W R R R R R W R R R R R R R W W R W W R R R W R
R R R R R W R W R R R R R R R W R R R R W W R W W
R R R R R R R R R R R W R W R R R R R R R R R R R
R W R R R R R R R R R W R R R R R R R R R R R R R
R R R R R R R R R R R R W R R R R R R R R R R R R
R R W R W W R W W W R W R R R R R R R R R R R R R
R R R R R R R R R R R W R R R R R R R R R R R R R
R R W R R R R R R R R W R R R R R R R R R R R R R
R R R R R R R R W R R W R R R R W R R R R R R R R
R R R R R R R R W W R W R R R R W R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R R R R R R R W R R R R W R R R R R R R R
R R R R R R R R R R R R R R R R R R R R R R R R R
NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA
R W R R R W R R W R R R R R W R R R R R R W R R W
R R R R R R R R R R R R R R R R R R R R R R R R R
R R R R R W R R W R R R R R W R R R R R W W R R W
R R R R R R R R R R R W R R W R R R R R R W R R W
R R R R R W R R R R R W R R W R W R R R W W R R R
R R R R R R R R R R R R R R W R W R R R W R R R R
R R R R R R R R W R R R R R R R R R R R R R R R R
R R W R W W R R W R R R R R R R R R R R R W R R R
R R R R W W R R R R R W R R R R W R R W R W R W R
R R R R R R R W W R R W R R R R R R R R R R R W W
R R R R R R R R W R R R R R R R R R R R R R R R R
학생별 점수 산출

92, NA, 76, 84, 84, 68, 88, 100, 92, 92, 92, 68, 100, NA, 84, 88, 84, 84, 88, 92, 80, 80, 100, 92, 92, 76, 88, 92, 96, 76, 88, NA, 92, 88, 84, 80, 96, 92, 84, 60, 80, NA, 88, 76, 84, 88, 68, 88, 100, 32, 88, 100, 84, 96, 100, 88, 100, 88, 72, 84, 92, 92, 76, 80, 96, 92, 92, 100, 96, 88, 88, 92, 84, 92, 88, 68, 100, 92, 88, 92, 92, 92, 100, 92, 92, 76, 88, 88, 84, 88, 92, NA, 96, 100, 96, 88, 100, NA, 96, 88, 84, 92, 80, 96, NA, 100, 80, 100, 92, 96, 92, 48, 80, 88, 96, 76, 96, 96, 76, 92, 76, 92, 100, 96, 88, 84, 72, 84, 92, 72, 96, 96, 96, 80, 92, 88, 100, 96, 96, 100, 80, 92, 88, 96, 92, 88, 84, 96, 80, NA, 92, 52, 100, 84, 88, 72, 72, 92, 92, 96, 72, 96, 92, 88, 84, 100, 92, 100, NA, 76, 100, 76, 84, 76, 88, 96, 80, 72, 80 and 96

Red and Black 비교
  • Black:

    Min. 1st Qu. Median Mean 3rd Qu. Max. NA’s
    72 84 88 89.18 96 100 5
  • Red:

    Min. 1st Qu. Median Mean 3rd Qu. Max. NA’s
    32 80 88 85.95 92 100 4
## 
##   The decimal point is 1 digit(s) to the right of the |
## 
##    3 | 2
##    4 | 8
##    5 | 2
##    6 | 08888
##    7 | 2222222666666666666
##    8 | 0000000000000444444444444444444488888888888888888888888888888
##    9 | 22222222222222222222222222222222222226666666666666666666666666
##   10 | 000000000000000000000
  • Red
stem(literacy.score[Red], scale = 0.5)
## 
##   The decimal point is 1 digit(s) to the right of the |
## 
##    2 | 2
##    4 | 82
##    6 | 0888822266666666
##    8 | 00000044444444488888888888222222222222222222226666666666
##   10 | 00000000000
  • Black
stem(literacy.score[Black], scale = 1)
## 
##   The decimal point is 1 digit(s) to the right of the |
## 
##    7 | 2222
##    7 | 6666
##    8 | 00000004444444444
##    8 | 888888888888888888
##    9 | 22222222222222222
##    9 | 666666666666666
##   10 | 0000000000

Box Plots

QQ plot

ECDF plot

문해력 등급 판정
  • I수준(24점 이하), II수준(28 ~ 48점), III수준(52 ~ 72점), IV수준(76점 이상)
문해력 등급 분포
I II III IV 결석
0 2 13 156 9
그룹별 문해력 등급 분포
  I II III IV 결석
Black 0 0 4 81 5
Red 0 2 9 75 4

문항 유형별 점수 분석

type <- scan(file = "../data/literacy_type.txt", what = "")
type.kr <- factor(type, levels = c("a", "b", "c"), labels = c("사실적", "추론적", "비판적"))
유형별 정답률
  유형 정답률
문1 사실적 99.4
문2 사실적 94.2
문3 비판적 83.0
문4 사실적 98.2
문5 추론적 91.2
문6 추론적 74.3
문7 추론적 98.2
문8 사실적 83.6
문9 추론적 58.5
문10 추론적 95.3
문11 사실적 98.8
문12 사실적 53.2
문13 사실적 94.7
문14 추론적 95.9
문15 사실적 81.9
문16 사실적 94.7
문17 추론적 71.9
문18 비판적 96.5
문19 사실적 97.7
문20 사실적 91.2
문21 사실적 90.6
문22 비판적 69.0
문23 추론적 97.7
문24 사실적 91.2
문25 추론적 87.7

어려운 문제?

정답률 80% 이하
문6 문9 문12 문17 문22
74.27 58.48 53.22 71.93 69.01
정답률 70% 이하
문9 문12 문22
58.48 53.22 69.01
정답률 60% 이하
  문9 문12
정답률 58.48 53.22
정답률 50% 이하