# Table 5 Confidence Interval Coverage Probabilities in Simulation Studies

C

Population

Size

Â Â

Number & Percentage of Intervals

Containing Targets

(Mixture parameters)

Number & Percentage of Intervals

Containing Targets

(Mixture parameters)

2.0

200,000

106 (88.3)

50 (41.7)

Â

1,000,000

110 (91.7)

66 (55.0)

Â

Infinite

105 (87.5)

64 (53.3)

2.5

200,000

110 (91.7)

61 (50.8)

Â

1,000,000

112 (93.3)

75 (62.5)

Â

Infinite

114 (95.0)

74 (61.7)

3.0

200,000

110 (91.7)

67 (55.8)

Â

1,000,000

112 (93.3)

80 (66.7)

Â

Infinite

115 (95.8)

83 (69.2)

3.5

200,000

111 (92.5)

68 (56.7)

Â

1,000,000

115 (95.8)

83 (69.2)

Â

Infinite

118 (98.3)

88 (73.3)

4.0

200,000

112 (93.3)

69 (57.5)

Â

1,000,000

118 (98.3)

85 (70.8)

Â

Infinite

118 (98.3)

91 (75.8)

4.5

200,000

113 (94.2)

74 (61.7)

Â

1,000,000

118 (98.3)

87 (72.5)

Â

Infinite

118 (98.3)

96 (80.0)

5.0

200,000

116 (96.7)

78 (65.0)

Â

1,000,000

118 (98.3)

89 (74.2)

Â

Infinite

118 (98.3)

98 (81.7)

1. The row with "C" = 2 and "Population size" = 200,000 identifies the numbers and percentages of confidence intervals containing their targets of mixture parameters, based on 10 repetitions in each of which 25 samples of size 50000 were simulated from a 4-component normal mixture with 12 parameters; results under the heading of "Bias adjustment included" are based on Equation (7) with C = 2, results under the heading of "Bias adjustment omitted" are based on Equation (6) with C = 2, and the 25 samples of size 50000 had overlap consistent with a population size of 200,000. Other rows correspond to different choices of C and/or population sizes.