ANOVA

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????? : 

????? ANOVA Analysis of Variance

????? : 

????? ANOVA Analysis of variance. ?????????,?????????????????,????????,?????????????

ANOVA : 

ANOVA ??????? ?????=?????????? ???????????????,?????????????? ?????????????? ??F?????????????????????????,????????? ????????(????)???????????(F?),????????????????(t?Z?)

???? : 

???? ????(experimental unit)=?????????????? ??(factor)=???????????? ??(level)=????????????? ??(treatment)=????????????

Slide 5: 

Example ???12?????????A?B?C??,??????????A??????B?,?????????C?,???????,??: ??????????experimental unit?????factor?????level????

?????????? : 

?????????? 1.???????????????? 2.???????????? 3.?????????????????

Slide 7: 

????????(one factor ANOVA): ???????? ????????(two factor ANOVA): ?????????

Slide 8: 

k????????????????? ???=????+????(??) ????=?????+?????(?????) SST=SSB+SSW(SSE)

SStotal=SSb+SSw : 

SST:?????????????????????????,?????????? SSB:????????????????????? SSW:???????????,(????)??????????=SSE ???????????,?????(MS),????????? SStotal=SSb+SSw

Slide 10: 

?????????????ANOVA? F F=MSB / MSE

Slide 11: 

????????F?? reject H0

Slide 12: 

Example ???12?????????A?B?C??,??????????A??????B?,?????????C?,???????,??: 1.???ANOVA?????? 2.??ANOVA?? 3.???????????????a=0.05?? 4.???one factor ANOVA,or two factor ANOVA?

Slide 13: 

Example ??????4??????????????,??????: ?a?????????factor?????level???? ?b????one factor ANOVA,or two factor ANOVA? ?c???ANOVA?? ?d???4???????????a=0.05?[F0.05(3,18)=3.16]?

Slide 14: 

Example ????????????????,????????????,?????????,?????????,?????????????????????? ?a=0.05?

????(Priori comparison) : 

????(Priori comparison) ??????????????????????,???????? ??????????,????????????????????????????? ??????t-test??: t?????????????????????????N-K,??D?

????(Posteriori comparison) : 

????(Posteriori comparison) ????????????????????(follow-up test) ??????F???????????,??????(posteriori comparisons)

Slide 17: 

?????(experiment-wise error): ????????????????,????????????????(?HSD?)? ????,???????(????????)? ?????(comparison-wise error): ?????????????????????(?N-K?)? ?????,???????(???????)?

Scheff’s methed : 

Scheff’s methed ????,???n???????? ???????????????????????????,?????????(type I error)????????????????????????????????

Scheff’s methed : 

Scheff’s methed Cohen(1996)????Scheffe?????????F???? ????F?????,Scheffe??????? ????F??????,??Scheffe?????????????????????????

??????(randomized block design) : 

??????(randomized block design) ?????????????,????????????????(treatment),??????????,????????????????? ??(block)?????????????,???,??,????????

Slide 22: 

???????????:????,????,???????? ANOVA?

Slide 23: 

Example ?A?B?C?????????????,????20???,??????,????????,???????????????

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