# Table 3 Confidence Interval Coverage Probabilities in Simulation Study

C

Population Size

Â Â

Number & Percentage of Intervals Containing Targets (mortality risks)

Number & Percentage of Intervals Containing Targets (mortality risks)

2.0

200,000

69 (57.5)

26 (21.7)

Â

1,000,000

92 (76.7)

26 (21.7)

Â

Infinite

92 (76.7)

43 (35.8)

2.5

200,000

78 (65.0)

29 (24.2)

Â

1,000,000

100 (83.3)

37 (30.8)

Â

Infinite

96 (80.0)

47 (39.2)

3.0

200,000

84 (70.0)

32 (26.7)

Â

1,000,000

106 (88.3)

44 (36.7)

Â

Infinite

102 (85.0)

56 (46.7)

3.5

200,000

89 (74.2)

35 (29.2)

Â

1,000,000

111 (92.5)

54 (45.0)

Â

Infinite

110 (91.7)

60 (50.0)

4.0

200,000

93 (77.5)

44 (36.7)

Â

1,000,000

116 (96.7)

63 (52.5)

Â

Infinite

114 (95.0)

65 (54.2)

4.5

200,000

97 (80.8)

48 (40.0)

Â

1,000,000

117 (97.5)

72 (60.0)

Â

Infinite

115 (95.8)

76 (63.3)

5.0

200,000

102 (85.0)

57 (47.5)

Â

1,000,000

117 (97.5)

79 (65.8)

Â

Infinite

115 (95.8)

90 (75.0)

1. The row with "C" = 2 and "Population size" = 200,000 identifies the numbers and percentages of confidence intervals containing their targets of mortality risks at selected birthweights (three for each of four mixture components), based on 10 repetitions in each of which 25 samples of size 50,000 were simulated from a 4-component normal mixture. Results under the heading of "Bias adjustment included" are based on Equation (6) with C = 2. Results under the heading of "Bias adjustment omitted" are based on Equation (5) with C = 2. The 25 samples of size 50,000 had overlap consistent with a population size of 200,000. Other rows correspond to different choices of C and/or population sizes.