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Table 2 Summary of maximum likelihood estimates of penetrance parameters

From: MLEP: an R package for exploring the maximum likelihood estimates of penetrance parameters

True value

0.0001

Assumed value

0.0001

0.001

0.01

0.1

0.25

0.5

MLE

(0.832,0.759,0.003)

(0.766,0.757,0.002)

(0.749,0.749,0.001)

(0.690,0.688,0.000)

(0.989,0.159,0.000)

(0.602,0.002,0.000)

Bias

(0.118,0.112,0.002)

(0.124,0.112,0.002)

(0.145,0.110,0.002)

(0.188,0.143,0.001)

(0.204,0.379,0.001)

(0.330,0.628,0.001)

MSE

(0.020,0.020,0.000)

(0.023,0.020,0.000)

(0.035,0.020,0.000)

(0.064,0.030,0.000)

(0.082,0.183,0.000)

(0.142,0.415,0.000)

True value

0.001

Assumed value

0.0001

0.001

0.01

0.1

0.25

0.5

MLE

(0.832,0.759,0.003)

(0.766,0.757,0.002)

(0.749,0.748,0.001)

(0.617,0.614,0.000)

(0.916,0.208,0.000)

(0.592,0.003,0.000)

Bias

(0.118,0.112,0.002)

(0.124,0.112,0.002)

(0.145,0.111,0.002)

(0.215,0.135,0.001)

(0.213,0.380,0.001)

(0.360,0.656,0.000)

MSE

(0.020,0.020,0.000)

(0.023,0.020,0.000)

(0.035,0.020,0.000)

(0.076,0.026,0.000)

(0.085,0.180,0.000)

(0.149,0.441,0.000)

True value

0.01

Assumed value

0.0001

0.001

0.01

0.1

0.25

0.5

MLE

(0.772,0.767,0.010)

(0.766,0.765,0.008)

(0.753,0.753,0.002)

(0.632,0.612,0.000)

(0.880,0.279,0.000)

(0.586,0.000,0.000)

Bias

(0.111,0.110,0.003)

(0.114,0.110,0.003)

(0.132,0.109,0.003)

(0.191,0.127,0.001)

(0.197,0.365,0.001)

(0.356,0.648,0.000)

MSE

(0.017,0.020,0.000)

(0.019,0.020,0.000)

(0.031,0.019,0.000)

(0.063,0.024,0.000)

(0.075,0.170,0.000)

(0.145,0.430,0.000)

True value

0.01

Assumed value

0.0001

0.001

0.01

0.1

0.25

0.5

MLE

(0.972,0.802,0.010)

(0.962,0.804,0.010)

(0.925,0.799,0.010)

(0.776,0.680,0.000)

(0.764,0.440,0.000)

(0.591,0.017,0.000)

Bias

(0.083,0.116,0.007)

(0.095,0.118,0.007)

(0.106,0.116,0.006)

(0.125,0.111,0.002)

(0.181,0.269,0.002)

(0.272,0.588,0.001)

MSE

(0.011,0.020,0.000)

(0.013,0.021,0.000)

(0.018,0.021,0.000)

(0.033,0.020,0.000)

(0.056,0.102,0.000)

(0.099,0.373,0.000)

True value

0.2

Assumed value

0.0001

0.001

0.01

0.1

0.25

0.5

MLE

(0.995,0.765,0.010)

(0.998,0.777,0.010)

(0.964,0.778,0.010)

(0.697,0.647,0.005)

(0.719,0.381,0.000)

(0.631,0.074,0.000)

Bias

(0.104,0.129,0.009)

(0.104,0.130,0.009)

(0.108,0.139,0.008)

(0.142,0.132,0.005)

(0.203,0.220,0.003)

(0.308,0.579,0.002)

MSE

(0.018,0.026,0.000)

(0.019,0.026,0.000)

(0.023,0.028,0.000)

(0.043,0.030,0.000)

(0.070,0.071,0.000)

(0.124,0.351,0.000)