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Table 1 Estimation of the success rate of medical abortion after two doses of misoprostol under different scenarios for the rates of the main event medical abortion, the competing event surgical abortion, and censored data ({1}–{8}), using the binomial approach ({9}, {14}), the Kaplan-Meier (KM) approach ({10}, {15}), the Life Table (LT) approach ({11}, {16}), and the competing risk survival approach ({12}, {13}, {17}, {18})

From: How to assess success of treatment when using multiple doses: the case of misoprostol for medical abortion

Rate of main event with 1st dose

Rate of main event with 2nd dose (a)

Rate of competing event and censoring (b)

Assumptions for number of main events (medical abortions (r1, r2), competing events (d1, d2), and censored observations (c1, c2)).

POINT ESTIMATION

STANDARD ERROR

{1}

{2}

{3}

{4}

{5}

{6}

{7}

{8}

{9}

{10}

{11}

{12}

{13}

{14}

{15}

{16}

{17}

{18}

n1

r1

d1

c1

n2

r2

d2

c2

bin

KMc

LTc

CI1(2)

CI2(2)

bin

KMc

LTc

CI1(2)

CI2(2)

Low (70 %)

Low (62 %)

Low

1000

700

15

14

271

168

102

1

86.79 %

88.60 %

93.20 %

87.67 %

12.23 %

1.07 %

1.04 %

0.90 %

1.03 %

1.03 %

Medium

1000

700

30

27

243

151

91

1

85.07 %

88.64 %

93.47 %

86.78 %

13.11 %

1.13 %

1.08 %

0.91 %

1.06 %

1.06 %

High

1000

700

60

48

192

119

72

1

81.90 %

88.59 %

93.90 %

84.87 %

15.00 %

1.22 %

1.19 %

0.95 %

1.11 %

1.11 %

High (66 %)

Low

1000

700

15

14

271

179

91

1

87.89 %

89.82 %

94.08 %

88.82 %

11.07 %

1.03 %

0.99 %

0.83 %

0.99 %

0.99 %

Medium

1000

700

30

27

243

160

82

1

86.04 %

89.75 %

94.24 %

87.78 %

12.11 %

1.10 %

1.04 %

0.85 %

1.02 %

1.02 %

High

1000

700

60

48

192

127

65

0

82.67 %

89.84 %

94.70 %

85.87 %

14.12 %

1.20 %

1.14 %

0.88 %

1.08 %

1.08 %

Medium (80 %)

Low (70 %)

Low

1000

800

10

10

180

126

53

1

92.60 %

94.00 %

96.61 %

93.30 %

6.59 %

0.83 %

0.78 %

0.63 %

0.78 %

0.78 %

Medium

1000

800

20

18

162

113

48

1

91.34 %

93.95 %

96.71 %

92.56 %

7.33 %

0.89 %

0.82 %

0.64 %

0.82 %

0.81 %

High

1000

800

40

32

128

90

38

0

88.96 %

94.06 %

97.03 %

91.25 %

8.75 %

0.99 %

0.89 %

0.65 %

0.87 %

0.87 %

High (75 %)

Low

1000

800

10

10

180

135

45

0

93.50 %

95.00 %

97.26 %

94.25 %

5.75 %

0.78 %

0.72 %

0.56 %

0.73 %

0.73 %

Medium

1000

800

20

18

162

122

40

0

92.15 %

95.03 %

97.39 %

93.45 %

6.55 %

0.85 %

0.75 %

0.57 %

0.77 %

0.77 %

High

1000

800

40

32

128

96

32

0

89.60 %

95.00 %

97.57 %

92.00 %

8.00 %

0.97 %

0.83 %

0.59 %

0.83 %

0.83 %

High (90 %)

Low (79 %)

Low

1000

900

5

5

90

71

19

0

97.13 %

97.89 %

98.87 %

97.49 %

2.51 %

0.53 %

0.47 %

0.36 %

0.49 %

0.49 %

Medium

1000

900

10

9

81

64

17

0

96.40 %

97.90 %

98.93 %

97.11 %

2.89 %

0.59 %

0.49 %

0.36 %

0.52 %

0.52 %

High

1000

900

20

16

64

51

13

0

95.06 %

97.97 %

99.06 %

96.37 %

3.62 %

0.69 %

0.54 %

0.36 %

0.57 %

0.57 %

High (85 %)

Low

1000

900

5

5

90

77

13

0

97.65 %

98.56 %

99.26 %

98.13 %

1.87 %

0.48 %

0.40 %

0.29 %

0.42 %

0.42 %

Medium

1000

900

10

9

81

69

12

0

96.89 %

98.52 %

99.27 %

97.67 %

2.33 %

0.55 %

0.42 %

0.30 %

0.47 %

0.47 %

High

1000

900

20

16

64

54

10

0

95.44 %

98.44 %

99.29 %

96.75 %

3.25 %

0.66 %

0.48 %

0.31 %

0.54 %

0.54 %

  1. {1} n1: subjects receiving the 1st dose
  2. {2} r1: number of successes after the 1st dose (and before the 2nd)
  3. {3} d1: number of competing events after 1st dose (and before 2nd)
  4. {4} c1: number of censored data between the 1st and the 2nd doses
  5. {5} n2: subjects receiving the 2nd dose
  6. {6} r2: number of successes after the 2nd dose (and before end of study)
  7. {7} d2: number of competing events after 2nd dose (and before end of study)
  8. {8} c2: number of censored data between the 2nd dose and end of study
  9. {9}: success rate using the binomial proportion
  10. {10}: success rate using KMc
  11. {11}: success rate using Life Table with actuarial assumptionsc
  12. {12}: success rate using competing risk approach (cmprsk package in R)
  13. {13}: as in {17} but for the competing event “surgical abortion”
  14. {14}: standard error of point estimation in {13}
  15. {15}: standard error of point estimation in {14}
  16. {16}: standard error of point estimation in {16}
  17. {17}: standard error of point estimation in {17}
  18. {18}: standard error of point estimation in {18}
  19. a: rate of event with second dose was assumed lower than with first dose, “low” (12 % relative reduction) and “high” (6 % relative reduction)
  20. b: For j = 1, as a fraction of (n1-r1), or (n1-r1-d1): low = 5 %, medium = 10 %, high = 20 %; for the second dose, c2 = 0.01*(n2-r2), and d2 = n2-r2-c2
  21. c: All events occur exactly at times (doses) 1 and 2. Life Table and KM rates were computed with SPSS, and Cumulative Incidence (CI) rates with cmprsk package in R; for this purpose 18 datasets were created replicating the assumptions in columns {1} to {8}, and the corresponding packages were applied