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Table 5 Confidence Interval Coverage Probabilities in Simulation Studies

From: Thinking outside the curve, part I: modeling birthweight distribution

C Population
Size
Bias adjustment included Bias adjustment omitted
   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)
  1,000,000 110 (91.7) 66 (55.0)
  Infinite 105 (87.5) 64 (53.3)
2.5 200,000 110 (91.7) 61 (50.8)
  1,000,000 112 (93.3) 75 (62.5)
  Infinite 114 (95.0) 74 (61.7)
3.0 200,000 110 (91.7) 67 (55.8)
  1,000,000 112 (93.3) 80 (66.7)
  Infinite 115 (95.8) 83 (69.2)
3.5 200,000 111 (92.5) 68 (56.7)
  1,000,000 115 (95.8) 83 (69.2)
  Infinite 118 (98.3) 88 (73.3)
4.0 200,000 112 (93.3) 69 (57.5)
  1,000,000 118 (98.3) 85 (70.8)
  Infinite 118 (98.3) 91 (75.8)
4.5 200,000 113 (94.2) 74 (61.7)
  1,000,000 118 (98.3) 87 (72.5)
  Infinite 118 (98.3) 96 (80.0)
5.0 200,000 116 (96.7) 78 (65.0)
  1,000,000 118 (98.3) 89 (74.2)
  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.