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1 IBM SPSS Complex Samples 23

2 59 IBM SPSS Statistics IBM SPSS Complex Samples 23

3 : : : : : : : : : : : CSPLAN CSSELECT : : : : : : CSGLM CSLOGISTIC iii

4 CSORDINAL Cox CSCOXREG iv IBM SPSS Complex Samples 23

5 1 (WOR) ( ) (PPS) PPS (WR) Copyright IBM Corp. 1989,

6 v v 2 ( ) v v v 2 IBM SPSS Complex Samples 23

7 Cochran, W. G Sampling Techniques, 3rd ed. New York: John Wiley and Sons. Kish, L Survey Sampling. New York: John Wiley and Sons. Kish, L Statistical Design for Research. New York: John Wiley and Sons. Murthy, M. N Sampling Theory and Methods. Calcutta, India: Statistical Publishing Society. Särndal, C., B. Swensson, and J. Wretman Model Assisted Survey Sampling. New York: Springer-Verlag. 1 3

8 4 IBM SPSS Complex Samples 23

9 2 1. > > Brewer (PPS) Murthy (PPS) v v 2 3 v v v : Copyright IBM Corp. 1989,

10 1 : 1 : : (WR) (WOR) (PPS) PPS 1 WR v v () v v PPS 1 v (PPS) 1 v (PPS) 1 6 IBM SPSS Complex Samples 23

11 v Brewer (PPS) 2 1 v Murthy (PPS) 2 1 v Sampford (PPS) 3 1 Brewer v WR WOR 1 (MOS) PPS MOS MOS 1 : v 1 1 v v 2 7

12 1. ] : PopulationSize_ SamplingRate_ SampleSize_ SampleWeight_ 8 IBM SPSS Complex Samples 23

13 InclusionProbability_ SampleWeightCumulative_ Index_ : 1 PopulationSize_1_ : ( ) : : 1 2 : : IBM SPSS Statistics 2 9

14 IBM SPSS Statistics WOR (PPS) Brewer (PPS) Sampford (PPS) Murthy (PPS) WR 1 : 1. > > v v : 1 : IBM SPSS Complex Samples 23

15 1. > > CSPLAN CSSELECT v v v 2 11

16 12 IBM SPSS Complex Samples 23

17 3 ( ) 1. > > v v v 2 3 v : 1 Copyright IBM Corp. 1989,

18 : : WR ( ) ( ) WR (FPC) (SRS) FPC SRS FPC SRS WR WR WOR () WOR WOR WOR () WOR () 1 : WOR v v v 14 IBM SPSS Complex Samples 23

19 2. ] : ( ) v v WR v 3 3 : 3 15

20 1. > > : IBM SPSS Complex Samples 23

21 4 PPS WOR WOR Copyright IBM Corp. 1989,

22 18 IBM SPSS Complex Samples 23

23 5 1 1 : National Health Interview Survey (NHIS) 1 : 2 : : 1. > > v v v v Copyright IBM Corp. 1989,

24 v 1 v 1 v 2 3. v v IBM SPSS Complex Samples 23

25 5 21

26 22 IBM SPSS Complex Samples 23

27 6 1 1 : National Health Interview Survey (NHIS) 1 : t : : 1. > > t v v v v v Copyright IBM Corp. 1989,

28 v 1 v 1 v v IBM SPSS Complex Samples 23

29 7 2 1 : National Health Interview Survey (NHIS) : 2 x2 Pearson : : 1. > > () () v v v Copyright IBM Corp. 1989,

30 v v v 1 v 1 v 2 v ( ) 2X2 2 v v v 2 6. v v 26 IBM SPSS Complex Samples 23

31

32 28 IBM SPSS Complex Samples 23

33 8 1 1 : : t : : 1. > > v v v v v v 1 Copyright IBM Corp. 1989,

34 v 1 t t v v IBM SPSS Complex Samples 23

35 9 (CSGLM) ( ) : 1 : t : 1. > > v v Copyright IBM Corp. 1989,

36 v 1 A A*A v 1 A A(A) v A X A(X) v v v v t t 0 v v v 1 32 IBM SPSS Complex Samples 23

37 v 1 R 2 F F 2 2 p 1 v v v v v Sequential Sidak ( Sidak). Sidak Sequential Bonferroni ( Bonferroni). Bonferroni Sidak. Bonferroni Bonferroni. v v () ( ) v ( ) Helmert v Helmert ( ) v ( ) 9 33

38 v () IBM SPSS Statistics IBM SPSS Statistics v rowtype_ COV ( ) CORR () EST ( ) SE () SIG ( ) DF () ( ) COV ( CORR) v varname_ COV CORR P1 P2... v P1 P : XML ( ) XML (PMML) CSGLM 34 IBM SPSS Complex Samples 23

39 v (CUSTOM ) v (EMMEANS ) v (EMMEANS ) v (CRITERIA ) v (SAVE ) v (PRINT ) 9 35

40 36 IBM SPSS Complex Samples 23

41 10 ( ) 2 : : t R 2 : 1. > > v v Copyright IBM Corp. 1989,

42 v 1 A A*A v 1 A A(A) v A X A(X) v R2 R 2 R 2 v 38 IBM SPSS Complex Samples 23

43 v v exp(b) v v v t t 0 v v v 1 v 1 F F 2 2 p 1 v v v v v Sequential Sidak ( Sidak). Sidak Sequential Bonferroni ( Bonferroni). Bonferroni Sidak. Bonferroni Bonferroni

44 1 ( + ) ( age*age) IBM SPSS Statistics IBM SPSS Statistics v rowtype_ COV ( ) CORR () EST ( ) SE () SIG ( ) DF () ( ) COV ( CORR) v varname_ COV CORR P1 P2... v P1 P : XML ( ) XML (PMML) v 40 IBM SPSS Complex Samples 23

45 v v v v v ( ) n n CSLOGISTIC v (CUSTOM ) v (ODDSRATIOS ) v (CRITERIA ) v (SAVE ) v (PRINT ) 10 41

46 42 IBM SPSS Complex Samples 23

47 11 2 : : : 1. > > v v v 5 v f(x)=log(x/(1 x) ) v v v v f(x)=log( log(1 x)) f(x)= log( log(x)) f(x)=φ 1 (x) () f(x)=tan(π(x 0.5)) Copyright IBM Corp. 1989,

48 ( ) v 1 A A*A v 1 A A(A) v A X A(X) 44 IBM SPSS Complex Samples 23

49 v R2 R 2 R 2 v v v exp(b) v v v t t 0 v v v 1 v 1 ( ) v Wald Wald v v F F 2 2 p

50 v v v v v Sequential Sidak ( Sidak). Sidak Sequential Bonferroni ( Bonferroni). Bonferroni Sidak. Bonferroni Bonferroni. 1 ( + ) ( age*age) IBM SPSS Statistics IBM SPSS Statistics v rowtype_ COV ( ) CORR () EST ( ) SE () SIG ( ) DF () ( ) COV ( CORR) v varname_ COV CORR P1 P2... v P1 P IBM SPSS Complex Samples 23

51 0 0 : XML ( ) XML (PMML) Newton-Raphson Fisher Fisher Newton-Raphson Fisher Newton-Raphson v v v v v v 0 ( ) n n CSORDINAL v (CUSTOM ) 11 47

52 v (ODDSRATIOS ) v (ODDSRATIOS ) v (CRITERIA ) v (PRINT ) v 25 (SAVE ) 48 IBM SPSS Complex Samples 23

53 12 Cox Cox 1 2 Cox Cox Cox 2 v v =0 ( ) () ID Copyright IBM Corp. 1989,

54 1. ID : Cox ( ) Kaplan-Meier ( ) Kaplan-Meier Cox 1. > > Cox v 1 v 50 IBM SPSS Complex Samples 23

55 1 ( 1 ) T_ 2 v Cox T_ v (BP1 BP4 ) (T_ <1)*BP1 +(T_ >=1&T_ <2)* BP2 +(T_ >=2&T_ <3)*BP3 +(T_ >=3&T_ <4)*BP BP1 1 2 BP2 : Cox 1 12 Cox 51

56 v 1 A A*A v 1 A A(A) v A X A(X) v v exp(b) v v 52 IBM SPSS Complex Samples 23

57 v t t 0 v v v 1 v 1 x x*_tf (_TF ) v _TF _TF=T_ _TF=log(T_) Kaplan-Meier _TF=1 S KM (T_) (S KM (.) Kaplan-Meier ) _TF T_ v v : 1 v v 1 F F Cox 53

58 p 1 v v Sequential Sidak ( Sidak). Sidak v Sequential Bonferroni ( Bonferroni). Bonferroni v Sidak. Bonferroni v Bonferroni. v () v v v ln(survival) v v v v Schoenfeld Schoenfeld Schoenfeld x x*ln(t_) Schoenfeld 0 Schoenfeld v Martingale Martingale ( 0 1) 54 IBM SPSS Complex Samples 23

59 v Martingale 0 v Cox-Snell Cox-Snell Martingale v v DFBeta DFBeta DFBeta v Schoenfeld Schoenfeld IBM SPSS Statistics IBM SPSS Statistics v rowtype_ COV ( ) CORR () EST ( ) SE () SIG ( ) DF () ( ) COV ( CORR) v varname_ COV CORR P1 P2... v P1 P : IBM SPSS Statistics IBM SPSS Statistics 12 Cox 55

60 v v v v v v v v Sur_0 LCL_Sur_0 UCL_Sur_0 Sur_R LCL_Sur_R UCL_Sur_R ( ) Sur_#.# LCL_Sur_#.# UCL_Sur_#.#... #.# Haz_0 LCL_Haz_0 UCL_Haz_0 Haz_R LCL_Haz_R UCL_Haz_R ( ) Haz_#.# LCL_Haz_#.# UCL_Haz_#.#... #.# XML XML (PMML) v v v v v 0 ( ) n n n v Efron v Breslow ( Nelson-Aalan ) =exp( ) Efron Breslow Kaplan-Meier 56 IBM SPSS Complex Samples 23

61 v ( ) (%) CSCOXREG v (CUSTOM /PRINT LMATRIX ) v (/CRITERIA SINGULAR ) v (/PRINT GEF ) v ( PATTERN ) v (SAVE ) CSCOXREG Cox 57

62 58 IBM SPSS Complex Samples 23

63 IBM IBM IBM IBM IBM IBM IBM ( ) IBM IBM IBM Web Web Web IBM Web IBM (i) ( ) (ii) IBM Software Group ATTN: Licensing 200 W. Madison St. Chicago, IL; U.S.A. 59

64 IBM IBM IBM IBM IBM IBM IBM : IBM IBM IBM ( ) ( ). IBM Corp. Copyright IBM Corp. _ _. All rights reserved. 60 IBM SPSS Complex Samples 23

65 IBM IBM ibm.com International Business Machines Corporation IBM IBM Adobe Adobe PostScript PostScript Adobe Systems Incorporated Intel Intel Intel Inside Intel Inside Centrino Intel Centrino Celeron Xeon Intel SpeedStep Itanium Pentium Intel Corporation Linux Linus Torvalds Microsoft Windows Windows NT Windows Microsoft Corporation UNIX The Open Group Java Java Oracle 61

66 62 IBM SPSS Complex Samples 23

67 ,,,, , 39, 45 Cox 53 R Hermert , , 24, 27, 30 33, 39, 45 20, 26 Cox Kaplan-Meier , 39, 45 Cox 53 6 Cox

68 , 8 Cox 52 Cox 51 Cox 54 33, 39, 45 Cox 53 32, Cox Bonferroni 33, 39, 45 Cox 53 Sidak 33, 39, 45 Cox F 33, 39, 45 Cox , 39, 45 Cox Cox () Cox Cox IBM SPSS Complex Samples 23

69 Cox 52 Cox () 38 Cox (COV) B Bonferroni 33, 39, 45 Cox 53 Breslow Cox 56 Brewer 6 C Cox-Snell Cox 54 E Efron Cox 56 F F 33, 39, 45 Cox 53 Fisher (F) 47 H Helmert 33 65

70 M Martingale Cox 54 Murthy 6 N Newton-Raphson 47 P PPS 6 R R2 32 S Sampford 6 Schoenfeld Cox 54 Sidak 33, 39, 45 Cox 53 T t IBM SPSS Complex Samples 23

71

72 Printed in Japan

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