*1 * Wilcoxon 2 2 t t t t d t M t N t M t n t N t n t N t d t N t t at ri
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- ゆきさ うるしはた
- 7 years ago
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1 Wilcoxon H23 BioS 1 Wilcoxon Wilcoxon 2.2 S 1 t S 2 t Wilcoxon H 0 H 1 H 0 : S 1 t S 2 t H 1 : S 1 t S 2 t 1
2 *1 * Wilcoxon 2 2 t t t t d t M t N t M t n t N t n t N t d t N t t at risk number * 3 d t t *1 S 1 t S 2 t t y S 1 t y S 2 t *2 S i t f i t f i t ds i dt t 1 *3 at risk number 2
3 e t t v t t e t E[d t ] n tm t, v t V [d t ] M tn t N t M t N t n t N t Nt 2 N t 1 t 3 N 3 7, d 3 0, e , v t 4 t 8 N 4 6, d 4 0, e N 8 3, d 8 1, e , v , v t N t d t e t v t Wilcoxon Wilcoxon 3 d 3, d 4, d d log d 3 + d 4 + d 8 d log E[d log ] E[d 3 + d 4 + d 8 ] E[d 3 ] + E[d 4 ] + E[d 8 ] e 3 + e 4 + e
4 V [d log ] V [d 3 + d 4 + d 8 ] V [d 3 ] + V [d 4 ] + V [d 8 ] d 3, d 4, d χ 2 log d log E[d log ] 2 V [d log ] χ 2 log 1 χ2 *4 5% χ 2 log > χ 2 1, 0.95 χ 2 log , χ2 1, p SAS data d1; p log 1- cdf chisq, , 1; run; p log Wilcoxon Wilcoxon d 3, d 4, d 8 Wilcoxon Wilcoxon Wilcoxon Wilcoxon Wilcoxon at risk number d log d W il N 3 d 3 + N 4 d 4 + N 8 d 8 d W il *4 χ 2 log 1 χ d t d t d t d log P t d t Wilcoxon 4
5 E[d W il ] E[N 3 d 3 + N 4 d 4 + N 8 d 8 ] N 3 E[d 3 ] + N 4 E[d 4 ] + N 8 E[d 8 ] N 3 e 3 + N 4 e 4 + N 8 e V [d W il ] V [N 3 d 3 + N 4 d 4 + N 8 d 8 ] N 2 3 V [d 3 ] + N 2 4 V [d 4 ] + N 2 8 V [d 8 ] d 3, d 4, d 8 N 2 3 v 3 + N 2 4 v 4 + N 2 8 v χ 2 W il d W il E[d W il ] 2 V [d W il ] {3 10} χ 2 W il 1 χ2 5% χ 2 W il > χ 2 1, 0.95 χ 2 W il , χ2 1, p SAS data d2; p Wil 1 - cdf chisq, , 1; run; p Wil Wilcoxon Wilcoxon at risk number 5
6 5 SAS SAS Proc Lifetest 5.1 data d1; input group patno t censor; cards; ; run; proc lifetest data d1; time t * censor0; strata group; run; t group Wilcoxon
7 group Wilcoxon group Pr > Chi-Square Wilcoxon LogLR χ 2 log Wilcoxon χ 2 W il Wilcoxon 2 p 2LogLR 3 2 i ii Wilcoxon 2 SAS t 2 2 t d t M t d t N t M t n t N t n t N t 7
8 E[d t ] n tm t N t, E[ d t ] n tn t M t N t V [d t ] M tn t N t M t N t n t Nt 2, V [ N t 1 d t ] M tn t N t M t N t n t Nt 2 N t 1 Cov[d t, d t ] V [d t ] M tn t N t M t N t n t N 2 t N t d log d 3 + d 4 + d 8 d log d 3 + t 4 + t 8 E[d log ] e 3 + e 4 + e 8 e log E[ d log ] ẽ 3 + ẽ 4 + ẽ 8 ẽ log V [d log ] V [d 3 + d 4 + d 8 ] V [d 3 ] + V [d 4 ] + V [d 8 ] v 3 + v 4 + v 8 v log V [ d log ] V [ d 3 + d 4 + d 8 ] V [ d 3 ] + V [ d 4 ] + V [ d 8 ] ṽ 3 + ṽ 4 + ṽ 8 ṽ log d log dlog d log d log E[d log ] elog ẽ log V [dlog ] V [d log ] vlog v log V [d log ] V [d log ] V [d log ] v log v log d log E[d log ] dlog e log d log ẽ log d t n t d t d log d 3 + d 4 + d 8 n 3 d 3 + n 4 d 4 + n 8 d 8 n log d log n log n 3 + n 4 + n 8 8
9 ẽ t E[n t d t ] n t E[d t ] n t e t ẽ log ẽ 3 + ẽ 4 + ẽ 8 n 3 e 3 + n 4 e 4 + n 8 e 8 n log e log dlog e log d log E[d log ] d log ẽ log V [d log ] vlog v log v log v log *5 vlog v log V [d log ] v log v log χ 2 χ 2 log d log E[d log ] V [d log ] 1 d log E[d log ] 1 V [d log ] *6 V [d log ] V V V VV V V *7 V v log 0 0 *5 *6 v log v log V [d log ] v log v log! det `V [d log ] v 2 log v2 log 0 *7 V V V 9
10 VV vlog v log vlog v log V v log v log v log 0 0 v log v log 1 0 vlog v log 1 0 v log v log vlog v log V v log v log V V 1 1 V [d log ] 1 V [d log ] χ 2 log d log E[d log ] V [d log ] d log E[d log ] d log e log dlog ẽ log v log 0 0 dlog e log d log ẽ log d log e log v log SAS 5.4 Wilcoxon Wilcoxon d log N 3 d 3 + N 4 d 4 + N 8 d 8 d log N 3 d3 + N 4 t 4 + N 8 t 8 E[d W il ] N 3 e 3 + N 4 e 4 + N 8 e 8 e W il E[ d W il ] N 3 ẽ 3 + N 4 ẽ 4 + N 8 ẽ 8 ẽ W il V [d W il ] V [N 3 d 3 + N 4 d 4 + N 8 d 8 ] N 2 3 V [d 3 ] + N 2 4 V [d 4 ] + N 2 8 V [d 8 ] N 2 3 v 3 + N 2 4 v 4 + N 2 8 v 8 v W il V [ d W il ] V [N 3 d3 + N 4 d4 + N 8 d8 ] N 3 3 V [ d 3 ] + N 2 4 V [ d 4 ] + N 2 8 V [ d 8 ] N 2 3 ṽ 3 + N 2 4 ṽ 4 + N 2 8 ṽ 8 ṽ W il d W il dw il d W il d W il E[d W il ] ew il ẽ W il V [dw il ] V [d W il ] vw il v W il V [d W il ] V [d W il ] V [d W il ] v W il v W il 10
11 5.4.1 Wilcoxon dw il e W il d W il E[d W il ] d W il ẽ W il d W il N 3 d3 + N 4 d4 + N 8 d8 N 3 n 3 d 3 + N 4 n 4 d 4 + N 8 n 8 d 8 n W il d W il n W il N 3 n 3 + N 4 n 4 + N 8 n ẽ t E[n t d t ] n t E[d t ] n t e t ẽ W il N 3 ẽ 3 + N 4 ẽ 4 + N 8 ẽ 8 N 3 n 3 e 3 + N 4 n 4 e 4 + N 8 n 8 e 8 n W il e W il dw il e W il d W il E[d W il ] d W il ẽ W il Wilcoxon V [d W il ] vw il v W il v W il v W il V [d W il ] vw il v W il v W il v W il V [d W il ] 1 v W il V [d W il ] 1 11
12 5.4.3 χ 2 χ 2 W il χ 2 W il d W il E[d W il ] V [d W il ] d W il E[d W il ] d W il e W il dw il ẽ W il v W il 0 0 dw il e W il d W il ẽ W il d W il e W il v W il 22 SAS 12
,, Poisson 3 3. t t y,, y n Nµ, σ 2 y i µ + ɛ i ɛ i N0, σ 2 E[y i ] µ * i y i x i y i α + βx i + ɛ i ɛ i N0, σ 2, α, β *3 y i E[y i ] α + βx i
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Armitage.? SAS.2 µ, µ 2, µ 3 a, a 2, a 3 a µ + a 2 µ 2 + a 3 µ 3 µ, µ 2, µ 3 µ, µ 2, µ 3 log a, a 2, a 3 a µ + a 2 µ 2 + a 3 µ 3 µ, µ 2, µ 3 * 2 2. y t y y y Poisson y * ,, Poisson 3 3. t t y,, y n Nµ,
取扱説明書
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Kaplan-Meierプロットに付加情報を追加するマクロの作成
Kaplan-Meier 1, 2,3 1 2 3 A SAS macro for extended Kaplan-Meier plots Kengo Nagashima 1, Yasunori Sato 2,3 1 Department of Parmaceutical Technochemistry, Josai University 2 School of Medicine, Chiba University
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![D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j](/thumbs/103/158001152.jpg "D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j")
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Netcommunity SYSTEM X7000 IPコードレス電話機 取扱説明書
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平成１８年度「商品先物取引に関する実態調査」報告書
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[1][2] [3] *1 Defnton 1.1. W () = σ 2 dt [2] Defnton 1.2. W (t ) Defnton 1.3. W () = E[W (t)] = Cov[W (t), W (s)] = E[W (t)w (s)] = σ 2 mn{s, t} Propo
![[1][2] [3] *1 Defnton 1.1. W () = σ 2 dt [2] Defnton 1.2. W (t ) Defnton 1.3. W () = E[W (t)] = Cov[W (t), W (s)] = E[W (t)w (s)] = σ 2 mn{s, t} Propo](/thumbs/93/114156950.jpg "[1][2] [3] *1 Defnton 1.1. W () = σ 2 dt [2] Defnton 1.2. W (t ) Defnton 1.3. W () = E[W (t)] = Cov[W (t), W (s)] = E[W (t)w (s)] = σ 2 mn{s, t} Propo")
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24 I ( ) 1. R 3 (i) C : x 2 + y 2 1 = 0 (ii) C : y = ± 1 x 2 ( 1 x 1) (iii) C : x = cos t, y = sin t (0 t 2π) 1.1. γ : [a, b] R n ; t γ(t) = (x
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Kaplan-Meierプロットに付加情報を追加するマクロの作成
1 / 47 Kaplan-Meier A SAS macro for extended Kaplan-Meier plots 1, 2,3 1 2 3 Kengo Nagashima 1, Yasunori Sato 2,3 1 Department of Parmaceutical Technochemistry, Josai University 2 School of Medicine, Chiba
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SAS 9: (reprise) SAS Institute Japan Copyright 2004, SAS Institute Inc. All rights reserved. Greetings, SAS 9 SAS 9.1.3 Copyright 2004, SAS Institute Inc. All rights reserved. 2 Informations of SAS 9 SAS
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SAS ユーザー総会 2017 Mantel-Haenszel 法により調整したリスク差の信頼区間に関する一考察 武田薬品工業株式会社日本開発センター生物統計室佐々木英麿 舟尾暢男 要旨 Mantel-Haenszel 法により調整したリスク差に関する以下の信頼区間の算出方法を紹介し 各信頼区間の被覆確率をシミュレーションにより確認することで性能評価を行う Greenland 信頼区間 Sato 信頼区間
取扱説明書 [N-03A]
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