A B Z,, Z A Z j ~ N, j B Z ~ N, H 0 : A B H A : A B H 0 : 0, H A : 0 c,, c H 0,, c,, c 0 c 0 H H P P Pr Pr c or c ad c or or c c ad ad c P P c,, c Eat
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- かずただ かむら
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1 A/IML. (998) A/DATA A/IML (998). (998) A B B X A Aj X j,, Bj A: X Aj ~ N, : X Bj ~ N, A B,, ; j,, B Z X A X B Z X A X j X Aj B X Bj j
2 A B Z,, Z A Z j ~ N, j B Z ~ N, H 0 : A B H A : A B H 0 : 0, H A : 0 c,, c H 0,, c,, c 0 c 0 H H P P Pr Pr c or c ad c or or c c ad ad c P P c,, c Eat Wag ad Tsats(987)oe parameter boudares c,, c c C C boudary shape parameter O'Bree ad Flemg(979) 0. 5 Pocock(977) C c,, c P C ad C ad ad C 0 Pr uderh
3 998 Armtage et al.(969) Recursve Itegrato covoluto A/DATA C c,, c A/IML Recursve Itegrato 3. A/IML A/IML EQ EQCALE EQHIFT ell-defed EQ =0 EQCALE doma =0 EQHIFT 0 parametrzato EQ CALLEQ(prob, doma) < tscale, eps, de> prob stage sequtal test ( =0 (m+) ) (doma) ( m ) tscale stage eps de 3
4 parametrzato m c doma c c c c c C C C C C C.M.P prob parametrzato m m doma doma c doma c.m Pr c,, c, c Pr prob Pr Pr c Pr c, c Pr c,, c, c c Pr c, Pr c,, c, c Pr c, Pr c,, c, P [Pr Pr c ad c ad ad c c ad c ad ad c Pr c ad c ad ad c ] 3-Pocock Type I error 5 5% Pocock 0.5 c C.43 (,,3,4,5 ) Type I error A/IML A/IML 4
5 PROB ALPHA Pocock EQCALE CALLEQCALE(prob, gscale, doma, level) < guess, tscale, eps, de> prob EQ stage sequtal test ( (m+) 5
6 ) =0 (gscale) parameterzato C (doma) parameterzato (level) guess tscale stage eps de 3-Pocock Type I error Pocock 0.5 c C (,,3,4,5 ) EQCALE oe parameter boudares C doma EQ 6
7 3 4 5 Wag ad Tsats(987)oe parameter boudares CW=.4376 Pocock PROB PROB ALPHA EQHIFT CALLEQHIFT(prob, shft, doma, level) < guess, tscale, eps, de> prob EQ stage sequtal test ( (m+) ) (shft) parameterzato (doma) parameterzato C C C C C C (level) guess tscale stage eps de 3-3Pocock 5 5% Pocock 0.5 c C (,,3,4,5 ) 3- EQCALE EQHIFT c TypeII error - A B 0. 7
8 (plevel) DELTA= Pocock(977) (998) PROB PROB POWER 90% 4. hoefeld ad Rchter(98) 4-5.6%
9 P 3 A 7.8% e t P A P % e Pr T P A ˆ ˆ T T TT P log N log, C =- C logˆ ˆ log C N0, C N log, 9
10 D 4 Z Z log () Z Z log = = =57 ~ :F=3 :F=4 9 :A= 9 0
11 9 N N t 48 F t exp( t ) (,) P F 48 exp( 48 ) A F 48 exp( 48 ) 9 9 FEN N F 48 N F 48 N 3 exp( ) P H exp( 36) exp( ) A H exp( 36) A F A+F Pr T F A exp F A Pr T F A T A exp F PrT A exp A Pr T A PrT A PrT A Pr A 0 exp A d A A exp A d A exp A A
12 exp A Pr T F A exp F A exp A Pr T F A exp F A P A LEN N H N H FENLEN () D N=544 = O'Bree-Flemg log log 5 FEN LEN N A
13 3 6. A/IML (998)
14 Wag ad Tsats(987) La ad DeMets(983) staggerd etry [] Armtage, P., McPherso, C.. ad Roe, B.C. (969). Repeated sgfcace tests o accumulatg data. Joural of the Royal tatstcal ocety A3, [] La,.. ad DeMets, D.L. (983). Dscrete sequetal boudares for clcal trals. Bometrka 70, [3] O'Bre, P.C. ad Flemg, T. R. (979). A multple testg procedure for clcal trals. Bometrcs 35, [4] Pocock,. J. (977). Group sequetal methods the desg ad aalyss of clcal trals. Bometrka 64, 9-99 [5] A Isttute Ic (995). A/IML oftare: Chages ad Ehacemets through Release 6., Cary NC:A Isttute Ic. [6] hoefeld, D.A. ad Rchter, J. R. (98). Nomograms for calculatg the umber of patets eeded for a clcal tral th survval as a edpot. Bometrcs 38, [7] (998). A/DATA, 7 A,77-0 [8] Wag,.. ad Tsats, A. A. (987). Approxmately optmal oe-parameter boudares for group sequetal trals. Bometrcs 43,
報告書
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1 211022 2 11150 211022384 3 1000 23% 77% 10% 10% 5% 20% 15% 40% 5% 3% 8% 16% 15% 42% 5% 6% 4 =1000 = 66 5 =1000 = 59 6 52%(42% 1000 7 56% 41% 40% 97% 3% 11%, 2% 3%, 41 7% 49% 30%, 18%, 40%, 83% =1000
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