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Survival

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A B C D E F G H I J K

1 Survival Analysis

2

3 Model inputs:

4 Survival = 0.9

5 Total sample = 25

6 Prob. of censor = 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1

7

8 Day

9 Individual 1 2 3 4 5 6 7 8 9 10

10 1 1 1 1 1 D

11 2 D

12 3 1 1 1 C

13 4 1 1 1 1 1 C

14 5 1 1 C

15 6 1 1 1 1 1 1 1 1 1 1

16 7 1 1 1 D

17 8 1 1 1 C

18 9 1 1 1 1 D

19 10 1 1 1 1 D

20 11 1 1 C

21 12 1 1 1 1 1 1 1 D

22 13 1 1 1 1 1 1 1 C

23 14 1 1 1 1 D

24 15 1 1 1 1 1 D

25 16 1 1 1 1 1 1 1 1 D

26 17 1 1 C

27 18 1 1 1 1 1 C

28 19 D

29 20 1 C

30 21 D

31 22 D

32 23 1 1 1 1 1 1 1 1 1 1

33 24 1 1 1 1 1 1 1 1 1 1

34 25 1 1 D

35 # at risk 25 21 20 16 13 9 6 6 4 3

36 # deaths 4 0 1 1 4 1 0 1 1 0

37 # censored 0 1 3 2 0 2 0 1 0 0

38 Conditional P c 0.84 1 0.95 0.938 0.692 0.889 1 0.833 0.75 1

39 Unconditional P u 0.84 0.84 0.798 0.748 0.518 0.46 0.46 0.384 0.288 0.288

40 Expected survival 0.9 0.81 0.729 0.656 0.59 0.531 0.478 0.43 0.387 0.349

41 Daily survival 0.84 0.917 0.928 0.93 0.877 0.879 0.895 0.887 0.871 0.883

42

43

A B C D E F G H I J K

44 Daily Survival Expected P u

45 0.1 0.1 0.01 0.001 1E-04 1E-05 1E-06 1E-07 1E-08 1E-09 1E-10

46 0.2 0.2 0.04 0.008 0.002 3E-04 6E-05 1E-05 3E-06 5E-07 1E-07

47 0.3 0.3 0.09 0.027 0.008 0.002 7E-04 2E-04 7E-05 2E-05 6E-06

48 0.4 0.4 0.16 0.064 0.026 0.01 0.004 0.002 7E-04 3E-04 1E-04

49 0.5 0.5 0.25 0.125 0.063 0.031 0.016 0.008 0.004 0.002 1E-03

50 0.6 0.6 0.36 0.216 0.13 0.078 0.047 0.028 0.017 0.01 0.006

51 0.7 0.7 0.49 0.343 0.24 0.168 0.118 0.082 0.058 0.04 0.028

52 0.8 0.8 0.64 0.512 0.41 0.328 0.262 0.21 0.168 0.134 0.107

53 0.9 0.9 0.81 0.729 0.656 0.59 0.531 0.478 0.43 0.387 0.349

54

55

56 1

57 0.9

58 dse = 0.1

0.8

59 0.2

60 0.7

0.3

Expected Pu









61 0.6 0.4

62 0.5 0.5

63 0.4 0.6

64 0.7

0.3

65 56

0.8

66 0.2 57

0.9

67 0.1 58

68 0 59

69 1 2 3 4 5 6 7 8 9 10 60

70 Day 61

71 62

72 63

73 64

74 65

75 66

76 67

77 68

78 69

79 70

80 71

81 72

82 73

83 74

84 75

85 76

86 77

A B C D E F G H I J K

87 78

88 79

89 80

90 81

91 82

92 83

93 84

94 85

95 86

96 87

97 88

98 89

99 90

100 91

101 92

102 93

103 94

104 95

105 96

106 97

107 98

108 99

109 100

110 average

111 stdev

L M N O P Q R S T

1

2

3

4

5

6

7

8

9 Trial Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7

10 1 0.96 0.96 0.853333 0.746667 0.56 0.56 0.497778

11 2 0.84 0.795789 0.696316 0.642753 0.578478 0.578478 0.578478

12 3 1 0.869565 0.815217 0.706522 0.642292 0.570927 0.499561

13 (Survival to Day X) over 100 Trials

Unconditional Pu0.92 0.868889 0.814583 0.678819 0.377122 0.377122

4 0.377122

14 5 0.96 0.96 0.96 0.754286 0.754286 0.754286 0.502857

15 1 6 0.88 0.782222 0.782222 0.782222 0.684444 0.57037 0.57037

16 0.9 7 1 1 0.952381 0.896359 0.836601 0.772247 0.772247

17 0.8 8 1 0.954545 0.954545 0.775568 0.710938 0.710938 0.710938

18 0.7 9 0.88 0.833684 0.778105 0.778105 0.778105 0.700295 0.700295

19 0.6 10 1 0.956522 0.819876 0.819876 0.768634 0.768634 0.709508

Average









20 0.5 11 0.92 0.832381 0.693651 0.630592 0.567532 0.496591 0.496591

21 0.4 12 1 0.857143 0.857143 0.857143 0.714286 0.510204 0.382653

22 0.3 13 1 0.956522 0.956522 0.805492 0.751793 0.615103 0.615103

23 0.2 14 0.92 0.874 0.822588 0.759312 0.621255 0.465942 0.465942

24 0.1 15 1 0.857143 0.857143 0.785714 0.707143 0.707143 0.606122

25 0 16 0.88 0.77 0.77 0.705833 0.494083 0.494083 0.494083

26 1 17 2 3 14 0.857143 0.696429 0.696429 9

5 6 7 8 0.541667 0.541667

10 0.451389

27 18 0.92 0.8

Day 0.8 0.72 0.617143 0.617143 0.617143

28 19 0.88 0.88 0.782222 0.66188 0.66188 0.66188 0.66188

29 20 0.92 0.752727 0.501818 0.501818 0.439091 0.439091 0.439091

30 21 0.96 0.868571 0.868571 0.806531 0.73321 0.73321 0.73321

31 1 22 0.88 0.88 0.715 0.715 0.655417 0.53625 0.3575

32 0.9 23 0.92 0.817778 0.759365 0.683429 0.531556 0.531556 0.398667

33 24 0.96 0.777143 0.717363 0.538022 0.461162 0.461162 0.461162

0.8

34 25 0.92 0.87619 0.82465 0.761215 0.592056 0.592056 0.507477

Probability of survival









0.7 26 0.88 0.776471 0.776471 0.665546 0.544538 0.453782 0.453782

35

36 0.6 27 0.634435 0.576759

0.96 0.876522 0.793043 0.793043 Conditional Pc 0.576759

37 0.5 28 0.88 0.812308 Pu

0.88 0.812308 0.812308 Unconditional 0.812308 0.696264

38 0.4 29 0.609024 0.609024

0.96 0.829091 0.78303 0.730828 Expected survival 0.609024

39 30 0.96 0.864 0.6912 0.628364 0.628364 0.628364 0.418909

0.3

40 31 0.88 0.79619 0.707725 0.598844 0.598844 0.53896 0.53896

41 0.2 32 0.92 0.794545 0.747807 0.690284 0.575237 0.575237 0.575237

42 0.1 33 0.96 0.834783 0.793043 0.746394 0.746394 0.746394 0.671754

43 0 34 1 0.958333 0.8625 0.6325 0.575 0.383333 0.319444

L 0 M N O P Q R S T

44 1 352 3 5 7

4 0.88 6 0.792 80.698824

9 10 0.640588 0.524118 0.465882 0.465882

45 36 0.92 0.794545

Day 0.695227 0.695227 0.568822 0.568822 0.50562

46 37 0.88 0.733333 0.733333 0.620513 0.558462 0.478681 0.478681

47 38 0.88 0.838095 0.785714 0.673469 0.471429 0.471429 0.471429

48 39 0.92 0.88 0.836 0.786824 0.665774 0.665774 0.665774

49 40 1 0.913043 0.816934 0.768879 0.768879 0.768879 0.659039

50 41 0.92 0.832381 0.772925 0.695633 0.61834 0.353337 0.353337

51 42 0.88 0.754286 0.754286 0.754286 0.638242 0.638242 0.58022

52 43 0.84 0.84 0.793333 0.740444 0.683487 0.569573 0.512615

53 44 0.96 0.912 0.804706 0.747227 0.684958 0.684958 0.489256

54 45 0.96 0.834783 0.742029 0.68495 0.622682 0.622682 0.467011

55 46 0.96 0.872727 0.785455 0.610909 0.56 0.509091 0.452525

56 47 0.92 0.823158 0.720263 0.600219 0.600219 0.600219 0.600219

57 48 0.96 0.858947 0.751579 0.688947 0.551158 0.393684 0.393684

dse =58

0.1 49 0.88 0.836 0.836 0.776286 0.776286 0.776286 0.776286

59 50 0.92 0.92 0.92 0.797333 0.652364 0.652364 0.652364

60 51 0.96 0.829091 0.829091 0.701538 0.701538 0.62359 0.519658

61 52 0.88 0.88 0.724706 0.652235 0.652235 0.652235 0.407647

62 53 0.88 0.833684 0.694737 0.648421 0.530526 0.530526 0.530526

63 54 0.96 0.868571 0.817479 0.759088 0.759088 0.759088 0.69008

64 55 0.96 0.912 0.816 0.612 0.561 0.4488 0.320571

65 56 0.92 0.87619 0.830075 0.711493 0.582131 0.582131 0.582131

66 57 0.92 0.92 0.865882 0.703529 0.511658 0.511658 0.292376

67 58 0.96 0.829091 0.731551 0.731551 0.731551 0.665046 0.665046

68 59 0.92 0.87619 0.730159 0.62585 0.455164 0.341373 0.284477

69 60 0.96 0.914286 0.8 0.666667 0.666667 0.6 0.6

70 61 0.8 0.755556 0.604444 0.604444 0.537284 0.460529 0.460529

71 62 0.96 0.872727 0.82139 0.76272 0.69916 0.69916 0.611765

72 63 0.92 0.782 0.729867 0.6256 0.511855 0.511855 0.511855

73 64 0.92 0.752727 0.652364 0.652364 0.533752 0.533752 0.400314

74 65 1 0.875 0.765625 0.696023 0.696023 0.696023 0.580019

75 66 0.88 0.838095 0.733333 0.733333 0.733333 0.733333 0.733333

76 67 0.96 0.96 0.9 0.78 0.585 0.585 0.501429

77 68 0.92 0.766667 0.707692 0.619231 0.516026 0.516026 0.516026

78 69 0.84 0.756 0.622588 0.622588 0.518824 0.363176 0.207529

79 70 1 1 0.9 0.85 0.789286 0.667857 0.667857

80 71 0.88 0.748 0.648267 0.5304 0.4641 0.4641 0.4641

81 72 0.92 0.87619 0.87619 0.87619 0.741392 0.667253 0.667253

82 73 0.92 0.87619 0.773109 0.773109 0.695798 0.695798 0.608824

83 74 0.84 0.618947 0.618947 0.567368 0.567368 0.496447 0.354605

84 75 0.96 0.8 0.711111 0.646465 0.430976 0.430976 0.430976

85 76 0.96 0.84 0.84 0.84 0.84 0.763636 0.678788

86 77 0.88 0.88 0.828235 0.828235 0.745412 0.652235 0.465882

L M N O P Q R S T

87 78 0.92 0.87619 0.730159 0.669312 0.547619 0.547619 0.486772

88 79 0.92 0.828 0.77625 0.716538 0.573231 0.573231 0.573231

89 80 0.88 0.79619 0.707725 0.707725 0.55607 0.505518 0.39318

90 81 1 0.954545 0.848485 0.666667 0.666667 0.606061 0.530303

91 82 0.92 0.92 0.726316 0.622556 0.498045 0.498045 0.426896

92 83 0.84 0.735 0.678462 0.678462 0.603077 0.603077 0.603077

93 84 0.88 0.72 0.64 0.548571 0.398961 0.341967 0.341967

94 85 0.96 0.872727 0.872727 0.775758 0.664935 0.609524 0.554113

95 86 0.92 0.836364 0.789899 0.789899 0.546853 0.341783 0.273427

96 87 0.88 0.836 0.836 0.716571 0.597143 0.597143 0.597143

97 88 0.92 0.788571 0.722857 0.657143 0.657143 0.547619 0.547619

98 89 0.84 0.746667 0.647111 0.452978 0.452978 0.362382 0.362382

99 90 0.88 0.836 0.737647 0.737647 0.639294 0.639294 0.523059

100 91 0.92 0.832381 0.832381 0.763016 0.763016 0.593457 0.593457

101 92 0.88 0.833684 0.686563 0.633751 0.475313 0.475313 0.407411

102 93 0.96 0.829091 0.621818 0.57 0.513 0.448875 0.448875

103 94 0.92 0.817778 0.708741 0.654222 0.594747 0.594747 0.594747

104 95 0.92 0.87619 0.830075 0.726316 0.622556 0.452768 0.388087

105 96 0.8 0.705882 0.651584 0.597285 0.597285 0.53092 0.53092

106 97 0.92 0.836364 0.794545 0.645568 0.595909 0.595909 0.595909

107 98 0.76 0.72 0.677647 0.632471 0.562196 0.491922 0.491922

108 99 1 0.916667 0.916667 0.723684 0.612348 0.476271 0.396892

109 100 1 0.833333 0.787037 0.688657 0.550926 0.48206 0.48206

110 average 0.9232 0.84368 0.772563 0.699847 0.61496 0.568775 0.518883

111 stdev 0.025691252 0.033897 0.042286 0.041732 0.050669 0.056722 0.059984

U V W

1

2

3

4

5

6

7

8

9 Day 8 Day 9 Day 10

10 0.414815 0.331852 0.165926

11 0.578478 0.462782 0.462782

12 0.428195 0.342556 0.256917

13 0.377122 0.377122 0.377122

14 0.502857 0.402286 0.402286

15 0.57037 0.57037 0.57037

16 0.695023 0.695023 0.595734

17 0.710938 0.533203 0.533203

18 0.700295 0.583579 0.583579

19 0.580506 0.580506 0.483755

20 0.496591 0.496591 0.496591

21 0.255102 0.255102 0.255102

22 0.546758 0.478413 0.410069

23 0.465942 0.155314 0.155314

24 0.606122 0.484898 0.484898

25 0.494083 0.370563 0.370563

26 0.451389 0.451389 0.300926

27 0.617143 0.617143 0.617143

28 0.66188 0.567326 0.567326

29 0.439091 0.439091 0.351273

30 0.439926 0.439926 0.439926

31 0.3575 0.3575 0.286

32 0.398667 0.398667 0.265778

33 0.461162 0.461162 0.461162

34 0.507477 0.507477 0.507477

35 0.453782 0.453782 0.453782

36 0.512675 0.512675 0.512675

37 0.696264 0.696264 0.417758

38 0.52202 0.435017 0.348013

39 0.335127 0.335127 0.335127

40 0.53896 0.384971 0.307977

41 0.575237 0.575237 0.479364

42 0.587785 0.419847 0.419847

43 0.239583 0.239583 0.239583

U V W

44 0.465882 0.465882 0.349412

45 0.442417 0.368681 0.294945

46 0.319121 0.319121 0.319121

47 0.471429 0.471429 0.471429

48 0.591799 0.591799 0.422713

49 0.599126 0.599126 0.513537

50 0.353337 0.235558 0.235558

51 0.58022 0.58022 0.58022

52 0.448538 0.448538 0.373782

53 0.489256 0.489256 0.366942

54 0.467011 0.467011 0.467011

55 0.452525 0.339394 0.339394

56 0.480175 0.320117 0.160058

57 0.393684 0.393684 0.393684

58 0.776286 0.776286 0.776286

59 0.652364 0.652364 0.652364

60 0.519658 0.519658 0.519658

61 0.407647 0.407647 0.244588

62 0.530526 0.530526 0.530526

63 0.536729 0.429383 0.429383

64 0.320571 0.320571 0.320571

65 0.582131 0.436598 0.436598

66 0.292376 0.292376 0.292376

67 0.332523 0.166262 0.166262

68 0.284477 0.213358 0.213358

69 0.45 0.45 0.45

70 0.230265 0.230265 0.115132

71 0.52437 0.52437 0.52437

72 0.511855 0.383891 0.383891

73 0.400314 0.400314 0.400314

74 0.464015 0.309343 0.154672

75 0.733333 0.733333 0.733333

76 0.501429 0.501429 0.501429

77 0.516026 0.516026 0.516026

78 0.103765 0.103765 0.103765

79 0.519444 0.519444 0.43287

80 0.3094 0.3094 0.3094

81 0.667253 0.667253 0.667253

82 0.507353 0.507353 0.380515

83 0.354605 0.354605 0.354605

84 0.430976 0.430976 0.323232

85 0.593939 0.593939 0.593939

86 0.372706 0.279529 0.186353

U V W

87 0.486772 0.486772 0.486772

88 0.477692 0.286615 0.286615

89 0.39318 0.39318 0.39318

90 0.530303 0.530303 0.318182

91 0.284597 0.284597 0.284597

92 0.502564 0.502564 0.502564

93 0.341967 0.227978 0.227978

94 0.492544 0.422181 0.337745

95 0.273427 0.273427 0.136713

96 0.597143 0.597143 0.597143

97 0.410714 0.410714 0.410714

98 0.362382 0.271787 0.271787

99 0.523059 0.523059 0.523059

100 0.593457 0.593457 0.593457

101 0.203706 0.203706 0.203706

102 0.374063 0.374063 0.374063

103 0.594747 0.594747 0.594747

104 0.323406 0.323406 0.323406

105 0.379229 0.303383 0.303383

106 0.446932 0.297955 0.297955

107 0.491922 0.368941 0.368941

108 0.396892 0.396892 0.396892

109 0.321373 0.321373 0.321373

110 0.470018 0.430507 0.394712

111 0.062655 0.06696 0.070393



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