Blood types김범준 ( 성대물리 )
이성훈 , 이동명 ( 아주대물리 )김완석 ( 아주대심리 )
Motivation
Chat over dinner table with my wife Is there any relation between the blood type and
personality? Recent movie “My boyfriend is type B”.
Nature versus Nurture Men from Mars, women from Venus. Genetics has at least something to do with
personality. Can blood type determine personality? Can it be so
simple? Not a physics probably. Just for Fun! What is physics anyway?
What to study?
Relation between blood types of married couples: on-line survey (274 answered).
Relation between blood types and MBTI psychological test (851 university students + me).
Disguised to be more scientific Blood distance between ethnic groups Build weighted network Correlation between blood distance and
geographic distance
Biology: ABO Blood System
and are dominant over Six genotypes: , , , , , Four phenotypes:
OBA III ,, Three alleles:
AI BI OI
OIBI
AI AI AI OI BI BI BI OIAI OI
OABBA ,,,
Biology: Hardy-Weinberg Principle
Principle of random mating Mean-field approximation in physics
Allelic frequnecy Genotypic frequency from H-W E.g.,
Phenotypic frequency from H-W
)1( , )( ,)( ,)( rqprIPqIPpIP OBA
pqIIPpIIP BAAA 2)( ,)( 2 qrprpqrqprqp 222)( 2222
qrqBPprpAP 2)( ,2)( 22 2)( ,2)( rOPpqABP
Statistics: chi-square test You throw a coin 100 times. 40 heads, and 60 tail
s are observed. Is the coin normal? Null hypothesis: The coin is O.K. The deviation is only du
e to statistical fluctuation. Expected frequencies : Observed frequencies : Big means the coin is strange. How big is big? follows the chi-square distribution with d.o.f. = 1 in the table. The deviation is statisticall
y significant. The hypothesis is rejected with error threshold 0.05. Strange coin.
50 ,505.0100 21 EE
60 ,40 21 OO4
)(2
1
22
i i
ii
E
EO2
2
05.0)84.3( 21 P
Statistics: chi-square test The chi-square test of independence between two
categorial variables. Null hypothesis: Two are independent
Chi-square distribution with d.o.f.
),...,2,1(),,...,2,1( cjBriA ji
)()( )()()( jiijjiji BPANPEBPAPBAP
r
i
c
j ij
ijij
E
EO
1 1
22 )(
)1)(1( cr
)()( with /)()( jiii BnAnNNAnAP
Blood Types of Married Couples
Married Couples
On-line survey (274 couples)
E.g, (Male A, Female A) has (78/274)(88/274)(274) = 25.1
(via null hypothesis of random mating) : null hypothesis is not rejected with error threshold 0.
05, i.e.,
)( ijij EO
Female A Female B Female AB Female O Total
Male A 27 (25.1) 26 (22.5) 8 (7.1) 17 (23.3) 78
Male B 26 (26.7) 23 (23.9) 5 (7.6) 29 (24.8) 83
Male AB 9 (11.2) 9 (10.1) 1 (3.2) 16 (10.5) 35
Male O 26 (25.1) 21 (22.5) 11 (7.1) 20 (23.3) 78
Total 88 79 25 82 274
9.112 05.0)59.23( 2
9 P
Married Couples
Hardy-Weinberg assumption is valid. When you fall in love, you are blind to everythi
ng including blood type of your love. Marriage is often assortative. Blood-type blind
marriage indirectly implies the independence between blood type and some traits. (If A is taller than other types, we expect more A-A couples.)
Distribution of Blood Types
Representation of group of people
Blood type distribution (frequencies of A,B,AB,O) in ethnic groups are known.
E.g., Korea: A=32%, B=31%, AB=10%, O=28%
From H-W principle,
Each ethnic group is represented as a
point in plane.
qrqBPprpAP 2)( ,2)( 22 2)( ,2)( rOPpqABP
.determineduniquely : ),,( rqp
),( rp
64 Ethnic GroupsPEOPLE GROUP O A B AB 위도 경도 인구 대륙 p q r 확인
Ainu(Japan) 17 32 32 18 43.05 141.67 150000 1 0.287689 0.287689 0.412311 0.987689
GrandAndamanese
9 60 23 9 12.25 92.52 314084 1 0.530662 0.265685 0.3 1.096348
Burmese 36 24 33 7 16.77 96.16 54000000 1 0.174597 0.230662 0.6 1.005259 Chinese-Canton 46 23 25 6 23.12 113.23 6850000 1 0.152429 0.164382 0.678233 0.995044
Chinese-Peking 29 27 32 13 39.99 116.4 14560000 1 0.209815 0.242508 0.538516 0.99084
Hindus(Bombay) 32 29 28 11 18.95 72.82 12691836 1 0.21534 0.208911 0.565685 0.989936
Japanese 30 38 22 10 127.68 139.77 1.3E+08 1 0.276899 0.173388 0.547723 0.998009 Koreans 28 32 31 10 37.55 126.99 ######### 1 0.245446 0.238964 0.52915 1.013561 Malasians 62 18 20 0 2.5 112.5 23953136 1 0.107026 0.118138 0.787401 1.012565 Philippinos 45 22 27 6 14.63 121.03 95000000 1 0.147715 0.177708 0.67082 0.996243
Tartars 28 30 29 13 55.78 49.17 8000000 1 0.232427 0.225833 0.52915 0.98741 Thais 37 22 33 8 13.73 100.5 65444371 1 0.159838 0.228384 0.608276 0.996498 Vietnamese
42 22 30 5 21.03 105.5 75000000 1 0.151926 0.200454 0.648074 1.000454
Abyssinians
43 27 25 5 9.03 38.74 73053286 2 0.180916 0.168877 0.655744 1.005537
Egyptians 33 36 24 8 30.03 31.22 77505756 2 0.256206 0.180527 0.574456 1.01119 Kikuyu(Kenya) 60 19 20 1 - 1.27 36.8 14500000 2 0.114223 0.119831 0.774597 1.00865
SouthAfricans 45 40 11 4 - 25.75 28.23 44344136 2 0.251134 0.077511 0.67082 0.999466
Sudanese 62 16 21 0 15 30 38114160 2 0.095775 0.123643 0.787401 1.006819 Buryats 33 21 38 8 51.83 107.6 436,000 2 0.160391 0.268159 0.574456 1.003006 Albanians 38 43 13 6 41.33 19.8 6000000 3 0.283559 0.097701 0.616441 0.997701 Armenians 31 50 13 6 40.25 44.57 8000000 3 0.343224 0.106549 0.556776 1.006549
Austrians 36 44 13 6 28.12 16.35 8206524 3 0.294427 0.1 0.6 0.994427 Basques 51 44 4 1 43.33 - 1.78 7000000 3 0.260537 0.027477 0.714143 1.002156 Belgians 47 42 8 3 53 4.53 10445852 3 0.257833 0.056054 0.685565 0.999453
2D representation of people아시아 :* 아프리카 : 삼각형 유럽 :+ 북아메리카 :x 남아메리카 : 네모 오세아니아 : 역삼각형
•Time evolution of a group: flow in (p,r) plane. •Will the fixed point exist? All ethnic groups will merge to a single fixed point?
Blood vs geographic distance
•Correlation exists!
Smaller scale
혈액형비율 O 형 (%) A 형 (%) B 형 (%) AB 형 (%) 위도 (N, 도 ) 경도 (E, 도 )
서울 27.3 33.9 27 11.8 37.55 126.99
부산 27.1 34.6 26.6 11.7 35.1 129.03
대구 27.6 33.2 27.8 11.4 35.87 128.6
인천 26.8 33.9 27.3 12 37.47 126.63
광주 25.2 37.9 24.5 12.4 35.15 126.9
대전 26.2 34.8 27.2 11.8 36.32 127.42
울산 27.8 33.7 26.3 12.2 35.53 129.3
경기 27.5 33.8 26.8 11.9 37.25 127
강원 29.3 30.4 28.2 12.1 37.75 128.88
충북 27.4 33.9 27.4 11.3 36.97 127.93
충남 26.7 34.9 26.1 12.3 36.8 127.15
전북 26 36.9 25.1 12 35.82 127.17
전남 25.8 37.3 24.6 12.3 34.73 127.73
경북 28.1 32.9 27.7 11.3 36.02 129.37
경남 27.8 34.5 25.8 11.9 35.27 128.62
제주 25.8 28.5 32.1 13.6 33.5 126.52
Smaller scale
People marry people nearby. Geographically distant two groups can
sometimes have short blood distance. But not vice versa.
Network Weight = inverse blood distance. (cutoff = 25.0) A way of measuring genetic distance between groups
Network
Interesting observations: Japan is closer to Russia. Korea and China-Peking are close. Fit well to what we expect (with some
exception)
Korean Network
Blood type and MBTI
Psychology: MBTI Test
Myers-Briggs Type Indicator: Bisect personality in four different axes Extrovert/Introvert (E/I) Sensing/Intuition (S/N) Thinking/Feeling (T/F) Judging/Perceiving (J/P)
16 different combinations: ESTJ, … , INFP
Me? INTJ
MBTI
Blood and MBTI
Size of table (blood type x MBTI) = 64 852 people seem not enough. Independence test for blood type and four pairs
of MBTI (E/I, S/N, T/F, J/P). 4 x 2 : d.o.f = 3,
05.0)82.7( 23 P
Blood and MBTII E Total
A 195 (182.3) 102 (114.7) 297
B 123 (125.8) 82 (79.2) 205
AB 61 (60.8) 38 (38.2) 99
O 144 (154.1) 107 (96.9) 251
Total 523 329 852
S N Total
A 200 (192.4) 97 (104.6) 297
B 111 (132.8) 94 (72.2) 205
AB 63 (64.1) 36 (34.9) 99
O 178 (162.6) 73 (88.4) 251
Total 552 300 852
T F Total
A 181 (180.6) 116 (116.4) 297
B 121 (124.6) 84 (80.4) 205
AB 67 (60.2) 32 (38.8) 99
O 149 (152.6) 102 (98.4) 251
Total 518 334 852
J P Total
A 140 (127.6) 157 (169.4) 297
B 75 (88.1) 130 (116.9) 205
AB 42 (42.5) 57 (56.5) 99
O 109 (107.8) 142 (143.2) 251
Total 366 486 852
55.52 46.22
16.42 2.152
Blood and MBTI
I/E, T/F, J/P : independent of blood type. For S/N : one can reject the null hypothesis
of independence with the error threshold 0.01.
In detail for S/N: Male behave strangely.
In more detail, it is found that ‘B type male’ tends to belong N rather than S.
femalefor 4.84,
male,for ,38.12 2
01.0)35.11(,05.0)82.7( 23
23 PP
Rumors and MBTI
Internet: ▷ 자신감이 넘치다 못해 하늘을 찌른다 ▷누구의 말이건 일단 무시하고 본다 ▷ 타인의 시선이나 감정을 고려하지 않는다 ▷성격이 급하다 보니 언제나 행동이 앞선다
▷남자다움과 여자다움에 대한 고정관념이 크다 ▷화가 나면 며칠씩 전화도 안 받는다 ▷무드라고는 눈곱만큼도 찾아볼 수 없다 ▷매사에 즉흥적이고 싫증을 잘 낸다 ▷감정기복이나 변덕이 여자보다 더하다
“My Boyfriend is Type B”
Two possibilities Male B is really more biased to N than to S (Intuition >Sensing) They were affected by recent boom on
“My boyfriend is type B”.Case 1: Why then all other 63 combinations(e.g., female B versus I/E) do not show correlation?Maybe Case 2. What you think?
Disregarding S/N
Neglecting S/N axis, we have all 8 categories for MBTI:4 x 8 = 32, d.o.f. = 21
Blood types and MBTI are independent
allfor ,0.23
femalefor 17.5,
male,for ,4.19 2
05.0)7.32( 221 P
Disregarding male B
Blood type and MBTI are independent.
30)(d.o.f. B without malefor 37.4,
45), (d.o.f. femalefor ,2.38 2
05.0)8.43(,05.0)6.61( 230
245 PP
Conclusion
Choice of spouse : blood-type blind. Hardy-Weinberg principle is verified.
Each ethnic group is represented by a point in 2D space of allelic frequency. Time evolution? Fixed point?
Blood distance between two groups is related with geographic distance. (On globe and in Korea).
Weighted network constructed.
Conclusion
Blood type and personality is weakly correlated with exception of male B.
Strong correlation between “male B” and
“N (Intuition)” type in MBTI: Genuine ? Affected by recent discussion on “B type
boyfriend”? What you think?
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