# 女士品茶

## 實驗內容

${\displaystyle {\binom {8}{4}}={\frac {8!}{4!(8-4)!}}=70}$

0正確 ${\displaystyle {\binom {4}{0}}\times {\binom {4}{4-0}}={\frac {4!}{4!\times 0!}}\times {\frac {4!}{0!\times 4!}}=1}$
1正確 ${\displaystyle {\binom {4}{1}}\times {\binom {4}{4-1}}={\frac {4!}{3!\times 1!}}\times {\frac {4!}{1!\times 3!}}=16}$
2正確 ${\displaystyle {\binom {4}{2}}\times {\binom {4}{4-2}}={\frac {4!}{2!\times 2!}}\times {\frac {4!}{2!\times 2!}}=36}$
3正確 ${\displaystyle {\binom {4}{3}}\times {\binom {4}{4-3}}={\frac {4!}{1!\times 3!}}\times {\frac {4!}{3!\times 1!}}=16}$
4正確 ${\displaystyle {\binom {4}{4}}\times {\binom {4}{4-4}}={\frac {4!}{0!\times 4!}}\times {\frac {4!}{4!\times 0!}}=1}$

${\displaystyle X\sim \operatorname {Hypergeometric} (n=4,K=4,N=8)}$

## 参考文献

1. Fisher, R. A. The Principles of Experimentation, Illustrated by a Psycho-physical Experiment. The Design of Experiments 9. ed. New York: Hafner Press. 1974. ISBN 0-02-844690-9. OCLC 471778573.
2. ^ Newman, James R. Mathematics of a Lady Tasting Tea. The world of mathematics. Mineola, N.Y.: Dover Publications. <2000->. ISBN 978-0-486-41153-8. OCLC 43555029.
3. ^ Salsburg, David. The lady tasting tea: how statistics revolutionized science in the twentieth century. New York: W.H. Freeman. 2001. ISBN 0-7167-4106-7. OCLC 45129162.
4. ^ Box, Joan Fisher. R.A. Fisher : the life of a scientist. New York, NY. 1978: 134. ISBN 0-471-09300-9. OCLC 3649815.
5. ^ Basu, D. Randomization Analysis of Experimental Data: The Fisher Randomization Test. Journal of the American Statistical Association. 1980-09, 75 (371). ISSN 0162-1459. doi:10.1080/01621459.1980.10477512 （英语）.
6. ^ Ghosh, J. K. The Fisher Randomization Test. Ghosh, J. K. (编). Statistical Information and Likelihood 45. New York, NY: Springer New York. 1988: 271–289. ISBN 978-0-387-96751-6. doi:10.1007/978-1-4612-3894-2_15.