?????? Behavioral Analysis

1
??????Behavioral Analysis

• ?3? ?????????
• inferential statistics
• ?4? ??????
• Statistical Population and Sampling
• ?5? ???????
• Statistical test of hypothesis

2
???(Statistics)???

• ???????(???3000?2300?)
• ?????????????????????
• ????????
• 17?????????? status(??)?statistics
• ?????( 19???)Descriptive Statistics
• ?????(Francis Galton)?????(Karl Pearson)
• ?????????????????????????
• ?????(1925?) Inferential Statistics
• ??????(Rinald Aylmer Fisher) ??????????????
• ???????????????????????????????????????????
• ?????????????????
• ???????????????????

3
????????Descriptive Statistics

• ???????????????????????????????????
• ???100???????????.
• ??100????????????????????

???,???, ???,???, ???,???, ???,???, ???,???
??? (???)
?? ??
????100????????????60kg??????? ????
?100?????????????5070kg??? ?
4
???????????
???? ???
?????? ????? ???
??? ??
(???) ???
?????? ????? ???
???? ????
????????
5
????(Sampling)????

• ??????,??????????????(???population)?????
• ???????(??????????????)
• ????????(???????PC?????)
• ?????????????????????,??????????(??sample)
• ?????????????(???)
• ??????(??????)???,??????????(?????????????)?????
• ??????????????????????
• ???????????????

6
???????????

• ?????????????????????????
• ???????X1,2,3,4,5,6
• ?????????4????????
• ???4????????????
• ????????y1.25???????
• (4????3??1,1??2?????????????)

7
4.2 ???????(p72)

• ????? statistical estimation, inference
• ???????????????,?????????????????(??)???
• ???????????????????,????????????????????????
• ???????????60???????(???)
• ??????????50???70???????(????)
• ????? statistical test
• ????????????????????,??????????????????
• ?????????????5????????,???????????????
• ??????????5??????????
• ??????????5???????

8
4.3??? point estimation

• 17???????????????????(?????)
• 10??17?????????????????????
• 10???????,???????????(169.3)
• ??????????,17????????????????

gt ?? lt- c(165.2, 175.9, 161.7, 174.2, 172.1,
163.3, 170.9, 170.6, 168.4, 171.3) gt ?? 1
165.2 175.9 161.7 174.2 172.1 163.3 170.9 170.6
168.4 171.3 gt mean(??) 1 169.36
9
(p74?4.2)??????
???population
???? sampling
??sample
??
????? Sample Statistics (???????????) ???? ???? ??
?? ?????? ?????? ???? ??
?? Population Parameters (?????????) ??? ??? ?????
????? ??? ??
?? inference
10
?????????(p75)
???2? ???? sampling
???population
??sample
1,2,6
1,2
1,6
2,6
??2??????
??
A??????????3????????????,????,?????
????? Sample Statistics (???????????) ????
?? inference
?? Parameter (?????????) ??? (126)/33
1.5
3.5
4.0
????? (???????)
???????
?????????????? ??????????????
11
4.4 ????????????????(p77)

• ??????? ???????
• ????????????????????
• ?????????????????????
• ??????????????????
• ?????????????????????,????????????????
• ????????????????????????
• ???????????????,?????????????
• ???,????????????????????,?????????????????????

12
?????????

• ????,???????????????????????????????,??????????
• ??????????????,?????????(????????)

??????? ?????
????????????????, ???????????
????? ???????? ? ????????
13
4.5.1????(?????)?????(p89)

• ????????????,??????????????
• ??????????????????????

14
????????????????????????

• ??????????(????) 4.4.5
• curve(dnorm(x,mean50,sd10))
• ????lt-numeric(length10000)
• ??????????
• for(i in 110000)
• ??????????????? 4.4.7
• ?? lt- rnorm(n10,mean50,sd10)
• ?????????(?????)????
• mean(??)
• ?????????????4.5.2
• ????i lt- mean(??)

15
????(??????)???

• ?????????
• mean(????)
• ?????????????
• hist(????,freqFALSE)
• ??????(?????vN??1???)????
• curve(dnorm(x,mean50,sd10/sqrt(10)),addTRUE)

16
??????????

• ????Blt-numeric(length10000)
• ??????????
• for(i in 110000)
• ?? lt- rnorm(n10,mean50,sd10)
• 10?????????????????.
• ???? lt- sort(??)
• ???9??????,?????
• ????Bi lt- mean(????19)
• mean(????B)
• 1 48.26386
• hist(????B,freqFALSE)