| | | | |
Linear regression model
|
Beta regression model
|
Variable dispersion beta regression model
|
Fractional logit regression model
|
---|
N0 = N1
|
μ0
|
φ
0
|
μ1
|
φ
1
|
Bias
|
MC error bias
|
Variance
|
MC error variance
|
Type-1 Error
|
MC Error Type-1 Error
|
Bias
|
MC error bias
|
Variance
|
MC error variance
|
Type-1 Error
|
MC Error Type-1 Error
|
Bias
|
MC error bias
|
Variance
|
MC error variance
|
Type-1 Error
|
MC Error Type-1 Error
|
Bias
|
MC error bias
|
Variance
|
MC error variance
|
Type-1 Error
|
MC Error Type-1 Error
|
---|
25
|
0.5
|
5
|
0.5
|
5
|
-4.18E-04
|
4.10E-04
|
3.34E-03
|
3.35E-05
|
0.050
|
0.002
|
-4.52E-04
|
4.06E-04
|
3.11E-03
|
2.99E-05
|
0.063
|
0.002
|
-4.57E-04
|
4.07E-04
|
3.09E-03
|
2.97E-05
|
0.064
|
0.002
|
-4.18E-04
|
4.10E-04
|
3.20E-03
|
3.29E-05
|
0.061
|
0.002
|
100
|
0.5
|
5
|
0.5
|
5
|
2.07E-04
|
2.05E-04
|
8.33E-04
|
8.15E-06
|
0.050
|
0.002
|
1.65E-04
|
2.03E-04
|
8.06E-04
|
7.41E-06
|
0.052
|
0.002
|
1.61E-04
|
2.03E-04
|
8.05E-04
|
7.40E-06
|
0.053
|
0.002
|
2.07E-04
|
2.05E-04
|
8.25E-04
|
8.11E-06
|
0.053
|
0.002
|
250
|
0.5
|
5
|
0.5
|
5
|
-1.72E-04
|
1.29E-04
|
3.33E-04
|
3.24E-06
|
0.050
|
0.002
|
-1.57E-04
|
1.27E-04
|
3.25E-04
|
2.95E-06
|
0.052
|
0.002
|
-1.61E-04
|
1.28E-04
|
3.24E-04
|
2.94E-06
|
0.052
|
0.002
|
-1.72E-04
|
1.29E-04
|
3.32E-04
|
3.23E-06
|
0.051
|
0.002
|
750
|
0.5
|
5
|
0.5
|
5
|
2.88E-05
|
7.45E-05
|
1.11E-04
|
1.08E-06
|
0.050
|
0.002
|
1.20E-05
|
7.35E-05
|
1.09E-04
|
9.87E-07
|
0.049
|
0.002
|
1.15E-05
|
7.35E-05
|
1.09E-04
|
9.87E-07
|
0.049
|
0.002
|
2.88E-05
|
7.45E-05
|
1.11E-04
|
1.08E-06
|
0.050
|
0.002
|
25
|
0.5
|
100
|
0.5
|
100
|
3.16E-05
|
9.98E-05
|
1.98E-04
|
1.00E-05
|
0.051
|
0.002
|
3.25E-05
|
9.98E-05
|
1.90E-04
|
9.81E-06
|
0.062
|
0.002
|
3.24E-05
|
9.98E-05
|
1.90E-04
|
9.80E-06
|
0.062
|
0.002
|
3.16E-05
|
9.98E-05
|
1.91E-04
|
9.82E-06
|
0.061
|
0.002
|
100
|
0.5
|
100
|
0.5
|
100
|
-1.44E-05
|
4.99E-05
|
4.95E-05
|
2.44E-06
|
0.051
|
0.002
|
-1.38E-05
|
4.99E-05
|
4.90E-05
|
2.43E-06
|
0.054
|
0.002
|
-1.38E-05
|
4.99E-05
|
4.90E-05
|
2.43E-06
|
0.054
|
0.002
|
-1.44E-05
|
4.99E-05
|
4.90E-05
|
2.43E-06
|
0.053
|
0.002
|
250
|
0.5
|
100
|
0.5
|
100
|
6.80E-06
|
3.13E-05
|
1.98E-05
|
1.01E-06
|
0.049
|
0.002
|
6.67E-06
|
3.12E-05
|
1.97E-05
|
1.01E-06
|
0.049
|
0.002
|
6.67E-06
|
3.12E-05
|
1.97E-05
|
1.01E-06
|
0.049
|
0.002
|
6.80E-06
|
3.13E-05
|
1.97E-05
|
1.01E-06
|
0.049
|
0.002
|
750
|
0.5
|
100
|
0.5
|
100
|
-1.67E-06
|
1.82E-05
|
6.66E-06
|
6.47E-07
|
0.052
|
0.002
|
-1.62E-06
|
1.82E-05
|
6.65E-06
|
6.55E-07
|
0.053
|
0.002
|
-1.62E-06
|
1.82E-05
|
6.65E-06
|
6.55E-07
|
0.053
|
0.002
|
-1.67E-06
|
1.82E-05
|
6.65E-06
|
6.54E-07
|
0.053
|
0.002
|
25
|
0.25
|
5
|
0.25
|
5
|
-2.08E-04
|
3.52E-04
|
2.50E-03
|
3.74E-05
|
0.049
|
0.002
|
-7.51E-05
|
3.27E-04
|
2.05E-03
|
3.10E-05
|
0.062
|
0.002
|
-1.59E-04
|
3.48E-04
|
2.33E-03
|
3.25E-05
|
0.060
|
0.002
|
-2.08E-04
|
3.52E-04
|
2.40E-03
|
3.67E-05
|
0.060
|
0.002
|
100
|
0.25
|
5
|
0.25
|
5
|
2.77E-04
|
1.77E-04
|
6.26E-04
|
9.09E-06
|
0.050
|
0.002
|
2.83E-04
|
1.64E-04
|
5.28E-04
|
7.71E-06
|
0.053
|
0.002
|
3.26E-04
|
1.75E-04
|
6.06E-04
|
8.12E-06
|
0.053
|
0.002
|
2.77E-04
|
1.77E-04
|
6.20E-04
|
9.04E-06
|
0.053
|
0.002
|
250
|
0.25
|
5
|
0.25
|
5
|
1.11E-04
|
1.12E-04
|
2.50E-04
|
3.64E-06
|
0.049
|
0.002
|
1.38E-04
|
1.03E-04
|
2.12E-04
|
3.10E-06
|
0.051
|
0.002
|
1.14E-04
|
1.10E-04
|
2.44E-04
|
3.27E-06
|
0.050
|
0.002
|
1.11E-04
|
1.12E-04
|
2.49E-04
|
3.63E-06
|
0.050
|
0.002
|
750
|
0.25
|
5
|
0.25
|
5
|
4.20E-05
|
6.44E-05
|
8.33E-05
|
1.22E-06
|
0.048
|
0.002
|
2.86E-05
|
5.94E-05
|
7.09E-05
|
1.05E-06
|
0.050
|
0.002
|
4.40E-05
|
6.38E-05
|
8.15E-05
|
1.10E-06
|
0.049
|
0.002
|
4.20E-05
|
6.44E-05
|
8.32E-05
|
1.22E-06
|
0.048
|
0.002
|
25
|
0.25
|
100
|
0.25
|
100
|
2.34E-05
|
8.69E-05
|
1.48E-04
|
8.84E-06
|
0.050
|
0.002
|
1.31E-05
|
8.66E-05
|
1.41E-04
|
8.50E-06
|
0.060
|
0.002
|
2.39E-05
|
8.69E-05
|
1.42E-04
|
8.58E-06
|
0.060
|
0.002
|
2.34E-05
|
8.69E-05
|
1.42E-04
|
8.65E-06
|
0.060
|
0.002
|
100
|
0.25
|
100
|
0.25
|
100
|
9.32E-06
|
4.31E-05
|
3.71E-05
|
2.18E-06
|
0.051
|
0.002
|
1.03E-05
|
4.30E-05
|
3.65E-05
|
2.13E-06
|
0.053
|
0.002
|
9.62E-06
|
4.31E-05
|
3.67E-05
|
2.15E-06
|
0.053
|
0.002
|
9.32E-06
|
4.31E-05
|
3.67E-05
|
2.17E-06
|
0.053
|
0.002
|
250
|
0.25
|
100
|
0.25
|
100
|
-7.06E-06
|
2.73E-05
|
1.49E-05
|
9.05E-07
|
0.049
|
0.002
|
-8.38E-06
|
2.72E-05
|
1.47E-05
|
8.93E-07
|
0.050
|
0.002
|
-7.25E-06
|
2.73E-05
|
1.48E-05
|
9.01E-07
|
0.049
|
0.002
|
-7.06E-06
|
2.73E-05
|
1.48E-05
|
9.05E-07
|
0.050
|
0.002
|
750
|
0.25
|
100
|
0.25
|
100
|
1.44E-05
|
1.58E-05
|
5.00E-06
|
1.36E-07
|
0.049
|
0.002
|
1.30E-05
|
1.58E-05
|
4.99E-06
|
1.63E-07
|
0.051
|
0.002
|
1.44E-05
|
1.58E-05
|
4.99E-06
|
1.37E-07
|
0.050
|
0.002
|
1.44E-05
|
1.58E-05
|
4.99E-06
|
1.39E-07
|
0.049
|
0.002
|
25
|
0.05
|
5
|
0.05
|
5
|
3.45E-04
|
1.78E-04
|
6.35E-04
|
4.42E-05
|
0.042
|
0.001
|
1.05E-04
|
9.94E-05
|
1.96E-04
|
2.44E-05
|
0.040
|
0.001
|
3.40E-04
|
1.73E-04
|
6.24E-04
|
3.82E-05
|
0.036
|
0.001
|
3.45E-04
|
1.78E-04
|
6.09E-04
|
4.33E-05
|
0.054
|
0.002
|
100
|
0.05
|
5
|
0.05
|
5
|
-7.35E-05
|
8.93E-05
|
1.59E-04
|
1.10E-05
|
0.051
|
0.002
|
-3.62E-05
|
4.83E-05
|
4.68E-05
|
5.98E-06
|
0.048
|
0.002
|
-6.70E-05
|
8.80E-05
|
1.56E-04
|
9.75E-06
|
0.048
|
0.002
|
-7.35E-05
|
8.93E-05
|
1.57E-04
|
1.09E-05
|
0.053
|
0.002
|
250
|
0.05
|
5
|
0.05
|
5
|
2.00E-05
|
5.58E-05
|
6.32E-05
|
4.40E-06
|
0.049
|
0.002
|
4.10E-05
|
3.03E-05
|
1.84E-05
|
2.38E-06
|
0.050
|
0.002
|
1.63E-05
|
5.53E-05
|
6.21E-05
|
3.92E-06
|
0.048
|
0.002
|
2.00E-05
|
5.58E-05
|
6.29E-05
|
4.39E-06
|
0.050
|
0.002
|
750
|
0.05
|
5
|
0.05
|
5
|
6.80E-06
|
3.25E-05
|
2.11E-05
|
1.49E-06
|
0.050
|
0.002
|
-6.04E-06
|
1.75E-05
|
6.13E-06
|
8.98E-07
|
0.050
|
0.002
|
6.78E-06
|
3.21E-05
|
2.07E-05
|
1.34E-06
|
0.050
|
0.002
|
6.80E-06
|
3.25E-05
|
2.11E-05
|
1.49E-06
|
0.050
|
0.002
|
25
|
0.05
|
100
|
0.05
|
100
|
-4.70E-05
|
4.37E-05
|
3.76E-05
|
5.33E-06
|
0.050
|
0.002
|
-5.81E-05
|
4.19E-05
|
3.32E-05
|
4.40E-06
|
0.062
|
0.002
|
-4.70E-05
|
4.36E-05
|
3.64E-05
|
4.92E-06
|
0.059
|
0.002
|
-4.70E-05
|
4.37E-05
|
3.61E-05
|
5.22E-06
|
0.060
|
0.002
|
100
|
0.05
|
100
|
0.05
|
100
|
2.39E-05
|
2.16E-05
|
9.41E-06
|
1.36E-06
|
0.049
|
0.002
|
2.17E-05
|
2.07E-05
|
8.54E-06
|
1.14E-06
|
0.052
|
0.002
|
2.38E-05
|
2.16E-05
|
9.32E-06
|
1.26E-06
|
0.050
|
0.002
|
2.39E-05
|
2.16E-05
|
9.31E-06
|
1.35E-06
|
0.052
|
0.002
|
250
|
0.05
|
100
|
0.05
|
100
|
-3.24E-05
|
1.37E-05
|
3.82E-06
|
7.23E-07
|
0.050
|
0.002
|
-3.21E-05
|
1.31E-05
|
3.38E-06
|
9.34E-07
|
0.050
|
0.002
|
-3.24E-05
|
1.37E-05
|
3.83E-06
|
6.98E-07
|
0.051
|
0.002
|
-3.24E-05
|
1.37E-05
|
3.81E-06
|
7.43E-07
|
0.051
|
0.002
|
750
|
0.05
|
100
|
0.05
|
100
|
-2.60E-06
|
7.93E-06
|
1.00E-06
|
0.00E + 00
|
0.052
|
0.002
|
-3.87E-06
|
7.60E-06
|
1.00E-06
|
0.00E + 00
|
0.052
|
0.002
|
-2.63E-06
|
7.93E-06
|
1.00E-06
|
0.00E + 00
|
0.052
|
0.002
|
-2.60E-06
|
7.93E-06
|
1.00E-06
|
0.00E + 00
|
0.052
|
0.002
|
25
|
0.5
|
5
|
0.5
|
10
|
-2.22E-04
|
3.59E-04
|
2.57E-03
|
3.12E-05
|
0.052
|
0.002
|
-2.37E-04
|
3.62E-04
|
2.46E-03
|
3.01E-05
|
0.065
|
0.002
|
-2.24E-04
|
3.58E-04
|
2.40E-03
|
2.81E-05
|
0.064
|
0.002
|
-2.22E-04
|
3.59E-04
|
2.47E-03
|
3.06E-05
|
0.062
|
0.002
|
100
|
0.5
|
5
|
0.5
|
10
|
-1.92E-04
|
1.80E-04
|
6.44E-04
|
7.71E-06
|
0.051
|
0.002
|
-2.03E-04
|
1.82E-04
|
6.40E-04
|
7.59E-06
|
0.055
|
0.002
|
-2.09E-04
|
1.79E-04
|
6.26E-04
|
7.12E-06
|
0.054
|
0.002
|
-1.92E-04
|
1.80E-04
|
6.38E-04
|
7.68E-06
|
0.054
|
0.002
|
250
|
0.5
|
5
|
0.5
|
10
|
-9.90E-05
|
1.13E-04
|
2.57E-04
|
3.04E-06
|
0.050
|
0.002
|
-7.63E-05
|
1.14E-04
|
2.58E-04
|
3.00E-06
|
0.054
|
0.002
|
-6.83E-05
|
1.12E-04
|
2.52E-04
|
2.81E-06
|
0.052
|
0.002
|
-9.90E-05
|
1.13E-04
|
2.56E-04
|
3.03E-06
|
0.051
|
0.002
|
750
|
0.5
|
5
|
0.5
|
10
|
2.83E-05
|
6.59E-05
|
8.58E-05
|
1.02E-06
|
0.052
|
0.002
|
4.12E-05
|
6.65E-05
|
8.62E-05
|
1.01E-06
|
0.053
|
0.002
|
3.14E-05
|
6.54E-05
|
8.43E-05
|
9.47E-07
|
0.053
|
0.002
|
2.83E-05
|
6.59E-05
|
8.57E-05
|
1.02E-06
|
0.053
|
0.002
|
25
|
0.5
|
100
|
0.5
|
200
|
-2.30E-05
|
8.62E-05
|
1.49E-04
|
9.17E-06
|
0.051
|
0.002
|
-2.33E-05
|
8.63E-05
|
1.43E-04
|
9.01E-06
|
0.061
|
0.002
|
-2.36E-05
|
8.62E-05
|
1.43E-04
|
8.97E-06
|
0.061
|
0.002
|
-2.30E-05
|
8.62E-05
|
1.43E-04
|
8.99E-06
|
0.061
|
0.002
|
100
|
0.5
|
100
|
0.5
|
200
|
9.13E-05
|
4.29E-05
|
3.72E-05
|
2.25E-06
|
0.046
|
0.001
|
9.09E-05
|
4.29E-05
|
3.68E-05
|
2.25E-06
|
0.048
|
0.002
|
9.09E-05
|
4.29E-05
|
3.68E-05
|
2.24E-06
|
0.048
|
0.002
|
9.13E-05
|
4.29E-05
|
3.68E-05
|
2.24E-06
|
0.048
|
0.002
|
250
|
0.5
|
100
|
0.5
|
200
|
-4.36E-05
|
2.74E-05
|
1.49E-05
|
9.42E-07
|
0.051
|
0.002
|
-4.35E-05
|
2.74E-05
|
1.48E-05
|
9.43E-07
|
0.052
|
0.002
|
-4.34E-05
|
2.74E-05
|
1.48E-05
|
9.39E-07
|
0.052
|
0.002
|
-4.36E-05
|
2.74E-05
|
1.48E-05
|
9.41E-07
|
0.052
|
0.002
|
750
|
0.5
|
100
|
0.5
|
200
|
1.09E-06
|
1.58E-05
|
5.00E-06
|
1.47E-07
|
0.052
|
0.002
|
8.86E-07
|
1.58E-05
|
5.00E-06
|
1.48E-07
|
0.052
|
0.002
|
8.93E-07
|
1.58E-05
|
5.00E-06
|
1.49E-07
|
0.052
|
0.002
|
1.09E-06
|
1.58E-05
|
5.00E-06
|
1.49E-07
|
0.052
|
0.002
|
25
|
0.25
|
5
|
0.25
|
10
|
-3.68E-04
|
3.11E-04
|
1.93E-03
|
3.36E-05
|
0.050
|
0.002
|
2.27E-02
|
2.96E-04
|
1.67E-03
|
2.86E-05
|
0.102
|
0.002
|
-1.82E-05
|
3.09E-04
|
1.81E-03
|
2.96E-05
|
0.062
|
0.002
|
-3.68E-04
|
3.11E-04
|
1.85E-03
|
3.29E-05
|
0.061
|
0.002
|
100
|
0.25
|
5
|
0.25
|
10
|
-3.66E-04
|
1.55E-04
|
4.83E-04
|
8.36E-06
|
0.050
|
0.002
|
2.35E-02
|
1.47E-04
|
4.31E-04
|
7.22E-06
|
0.211
|
0.003
|
-2.87E-04
|
1.54E-04
|
4.70E-04
|
7.50E-06
|
0.053
|
0.002
|
-3.66E-04
|
1.55E-04
|
4.78E-04
|
8.31E-06
|
0.052
|
0.002
|
250
|
0.25
|
5
|
0.25
|
10
|
9.95E-05
|
9.78E-05
|
1.93E-04
|
3.35E-06
|
0.049
|
0.002
|
2.41E-02
|
9.22E-05
|
1.73E-04
|
2.91E-06
|
0.456
|
0.004
|
1.48E-04
|
9.69E-05
|
1.89E-04
|
3.03E-06
|
0.050
|
0.002
|
9.95E-05
|
9.78E-05
|
1.92E-04
|
3.34E-06
|
0.050
|
0.002
|
750
|
0.25
|
5
|
0.25
|
10
|
-9.18E-06
|
5.71E-05
|
6.44E-05
|
1.11E-06
|
0.053
|
0.002
|
2.40E-02
|
5.38E-05
|
5.79E-05
|
9.70E-07
|
0.884
|
0.002
|
1.60E-05
|
5.66E-05
|
6.33E-05
|
1.01E-06
|
0.053
|
0.002
|
-9.18E-06
|
5.71E-05
|
6.43E-05
|
1.11E-06
|
0.054
|
0.002
|
25
|
0.25
|
100
|
0.25
|
200
|
2.38E-05
|
7.50E-05
|
1.12E-04
|
8.09E-06
|
0.050
|
0.002
|
1.22E-03
|
7.48E-05
|
1.07E-04
|
7.81E-06
|
0.062
|
0.002
|
2.42E-05
|
7.50E-05
|
1.07E-04
|
7.85E-06
|
0.061
|
0.002
|
2.38E-05
|
7.50E-05
|
1.07E-04
|
7.93E-06
|
0.060
|
0.002
|
100
|
0.25
|
100
|
0.25
|
200
|
-8.89E-06
|
3.76E-05
|
2.79E-05
|
1.99E-06
|
0.051
|
0.002
|
1.24E-03
|
3.75E-05
|
2.75E-05
|
1.96E-06
|
0.059
|
0.002
|
-8.41E-06
|
3.76E-05
|
2.76E-05
|
1.97E-06
|
0.054
|
0.002
|
-8.89E-06
|
3.76E-05
|
2.76E-05
|
1.98E-06
|
0.054
|
0.002
|
250
|
0.25
|
100
|
0.25
|
200
|
-1.15E-05
|
2.38E-05
|
1.12E-05
|
8.52E-07
|
0.051
|
0.002
|
1.23E-03
|
2.37E-05
|
1.11E-05
|
8.41E-07
|
0.069
|
0.002
|
-1.16E-05
|
2.38E-05
|
1.11E-05
|
8.47E-07
|
0.052
|
0.002
|
-1.15E-05
|
2.38E-05
|
1.11E-05
|
8.50E-07
|
0.052
|
0.002
|
750
|
0.25
|
100
|
0.25
|
200
|
6.24E-06
|
1.36E-05
|
3.94E-06
|
4.26E-07
|
0.050
|
0.002
|
1.26E-03
|
1.36E-05
|
3.92E-06
|
4.77E-07
|
0.099
|
0.002
|
6.41E-06
|
1.36E-05
|
3.94E-06
|
4.36E-07
|
0.050
|
0.002
|
6.24E-06
|
1.36E-05
|
3.93E-06
|
4.41E-07
|
0.050
|
0.002
|
25
|
0.05
|
5
|
0.05
|
10
|
5.41E-05
|
1.54E-04
|
4.90E-04
|
3.90E-05
|
0.051
|
0.002
|
2.16E-02
|
9.12E-05
|
1.90E-04
|
2.11E-05
|
0.374
|
0.003
|
5.03E-04
|
1.51E-04
|
4.85E-04
|
3.38E-05
|
0.047
|
0.001
|
5.41E-05
|
1.54E-04
|
4.70E-04
|
3.82E-05
|
0.061
|
0.002
|
100
|
0.05
|
5
|
0.05
|
10
|
-6.01E-05
|
7.71E-05
|
1.22E-04
|
9.72E-06
|
0.049
|
0.002
|
2.19E-02
|
4.47E-05
|
4.62E-05
|
5.19E-06
|
0.920
|
0.002
|
5.21E-05
|
7.64E-05
|
1.21E-04
|
8.56E-06
|
0.048
|
0.002
|
-6.01E-05
|
7.71E-05
|
1.21E-04
|
9.67E-06
|
0.051
|
0.002
|
250
|
0.05
|
5
|
0.05
|
10
|
-5.42E-05
|
4.93E-05
|
4.90E-05
|
3.86E-06
|
0.049
|
0.002
|
2.22E-02
|
2.84E-05
|
1.84E-05
|
2.08E-06
|
1.000
|
0.000
|
-7.90E-07
|
4.90E-05
|
4.83E-05
|
3.43E-06
|
0.049
|
0.002
|
-5.42E-05
|
4.93E-05
|
4.88E-05
|
3.85E-06
|
0.050
|
0.002
|
750
|
0.05
|
5
|
0.05
|
10
|
5.39E-05
|
2.83E-05
|
1.63E-05
|
1.31E-06
|
0.049
|
0.002
|
2.22E-02
|
1.63E-05
|
6.13E-06
|
7.84E-07
|
1.000
|
0.000
|
6.76E-05
|
2.81E-05
|
1.61E-05
|
1.17E-06
|
0.049
|
0.002
|
5.39E-05
|
2.83E-05
|
1.63E-05
|
1.31E-06
|
0.049
|
0.002
|
25
|
0.05
|
100
|
0.05
|
200
|
-1.58E-06
|
3.76E-05
|
2.82E-05
|
4.79E-06
|
0.054
|
0.002
|
2.09E-03
|
3.63E-05
|
2.54E-05
|
3.98E-06
|
0.082
|
0.002
|
-6.31E-07
|
3.76E-05
|
2.72E-05
|
4.43E-06
|
0.062
|
0.002
|
-1.58E-06
|
3.76E-05
|
2.71E-05
|
4.69E-06
|
0.064
|
0.002
|
100
|
0.05
|
100
|
0.05
|
200
|
1.51E-05
|
1.90E-05
|
7.07E-06
|
1.24E-06
|
0.052
|
0.002
|
2.19E-03
|
1.83E-05
|
6.56E-06
|
1.07E-06
|
0.144
|
0.002
|
1.55E-05
|
1.90E-05
|
7.01E-06
|
1.16E-06
|
0.054
|
0.002
|
1.51E-05
|
1.90E-05
|
6.99E-06
|
1.23E-06
|
0.056
|
0.002
|
250
|
0.05
|
100
|
0.05
|
200
|
-7.23E-06
|
1.19E-05
|
2.94E-06
|
5.33E-07
|
0.051
|
0.002
|
2.19E-03
|
1.15E-05
|
2.77E-06
|
8.89E-07
|
0.272
|
0.003
|
-6.93E-06
|
1.19E-05
|
2.94E-06
|
4.99E-07
|
0.052
|
0.002
|
-7.23E-06
|
1.19E-05
|
2.93E-06
|
5.56E-07
|
0.052
|
0.002
|
750
|
0.05
|
100
|
0.05
|
200
|
-4.05E-06
|
6.85E-06
|
1.00E-06
|
0.00E + 00
|
0.049
|
0.002
|
2.19E-03
|
6.60E-06
|
1.00E-06
|
0.00E + 00
|
0.647
|
0.003
|
-4.04E-06
|
6.85E-06
|
1.00E-06
|
0.00E + 00
|
0.050
|
0.002
|
-4.05E-06
|
6.85E-06
|
1.00E-06
|
0.00E + 00
|
0.050
|
0.002
|
- The first 24 rows of the Table describe experiments where the dispersion parameter does not vary as a function of group membership; whereas, in the bottom 24 rows of the Table the dispersion parameter varies as a function of group membership. Rows 1–8 (and 25–32) correspond to simulated experiments where the mass of the distribution is near 0.50, rows 9–16 (and 33–40) correspond to simulated experiments where the mass of the distribution is centered near 0.25, and finally rows 17–24 (and 41–48) correspond to simulated experiments where the mass of the distribution is near 0.05.
- ∆ = 0 (type-1 error experiments).
- Type-1 error refers to proportion of null hypothesis reject (expected 0.05).