• 1933 ISC Field House indoor 440 record of 51.7
(stood for 30 years)
• Outdoor 440 record of 48.6 when world record
was 47
47.4
4
• MS in nutrition from ISC
• 1942 U
U.S.
S Army Sanitary Corps
Corps. Nutrition
research for troops.
• ISC track 4 x 220 indoor world record
C. R. Henderson
Best Linear Unbiased
Prediction (BLUP)
3
1
• Elected member of the National Academy of
Sciences
• Renowned for “Henderson’s Mixed Model
E
Equations”
ti
” and
d work
k on BLUP
BLUP.
• Professor at Cornell until 1976
• Returned to ISU after the war for Ph.D. with Jay
Lush in animal breeding.
C. R. Henderson
• Dean H.H. Kildee visited in 1929 and convinced
Henderson to come to Iowa State College
College.
• Page County Farm Bureau Picnic (12 and under
under,
14 and under, 16 and under changed to 10-12,
13-14,, 15-16))
• Born April 1, 1911, in Coin, Iowa, in Page
County – same county of birth as Jay Lush
C. R. Henderson
4
2
L. D
D. Van Vleck (1991)
(1991). C
C. R
R. Henderson:
• L
Farm Boy, Athlete, and Scientist. Journal
of Dairy Science.
Science 74,
74 4082
4082-4096
4096.
• L
L. D
D. Van Vleck (1998)
(1998). Charles Roy
Henderson, 1911-1989: a brief biography.
Journal of Animal Science
Science. 76,
76 2959
2959-2961
2961.
Sources
• David Harville (professor emeritus,
D
Department
t
t off St
Statistics,
ti ti
ISU
ISU, lilinear
models expert)
• Shayle Searle (who taught Henderson
matrix algebra)
Henderson’s
Henderson
s Ph.D. Students Included
7
5
Statistics New York: McGraw
Statistics.
McGraw-Hill
Hill.
Mood A.
Mood,
A M.
M (1950).
(1950) Introduction to the Theory of
problem
bl
23 on page 164 off
We present here a variation of the original
A problem that reportedly sparked
Henderson’s
Henderson
s interest in BLUP
1. Study
y methods of yyour predecessors.
p
2. Work hard.
3. Do not fear to try
y new ideas.
4. Discuss your ideas with others freely.
5. Be quick to admit errors. Progress
comes by correcting mistakes.
6. Always be optimistic. Nature is benign.
7. Enjoy your scientific work. It can be a
great joy.
Henderson’s
Henderson
s Advice to Young Scientists
8
6
• If th
the sample
l mean off th
the students'
t d t ' ttestt scores was 100,
100
what is the best prediction of the IQ of a student who
scored 130 on the test?
• Suppose it is known that u2 / e2 = 9.
• Given the IQ of a student, the test score for that student
is normally distributed with a mean equal to the student's
student s
2
IQ and a variance e and is independent of the test
score of any other students.
• Suppose intelligence quotients (IQs) for a population of
students are normally distributed with a mean and
variance u2. An IQ test was given to an i.i.d. sample of
such students.
10
12
9
11
14
16
13
15
• If th
the sample
l mean off th
the students'
t d t ' ttestt scores was 100,
100
what is the best prediction of the IQ of a student who
scored 130 on the test?
• Suppose it is known that u2 / e2 = 9.
• Given the IQ of a student, the test score for that student
is normally distributed with a mean equal to the student's
student s
IQ and a variance e2 and is independent of the test
score of any other students.
• Suppose intelligence quotients (IQs) for a population of
students are normally distributed with a mean and
variance u2. An IQ test was given to an i.i.d. sample of
such students.
19
17
20
18
22
24
21
23