k=2 | k=4 | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Position of ‘1’ | TRUE | CDMLE | EML | EM- CDL | EM-ATCDL | EM-TCDL | CDMLE | EM-CDL | EM-ATCDL | EM-TCDL | ||
(a) n=100 | ||||||||||||
None | 0.7995 | 0.7979 | 0.8248 | 0.8250 | 0.7981 | 0.8009 | 0.7990 | 0.8451 | 0.7970 | 0.8040 | ||
(0.0150) | (0.0117) | (0.0117) | (0.0148) | (0.0132) | (0.0154) | (0.0086) | (0.0133) | (0.0125) | ||||
1 | 0.0509 | 0.0514 | 0.0433 | 0.0433 | 0.0492 | 0.0503 | 0.0502 | 0.0387 | 0.0462 | 0.0507 | ||
(0.0103) | (0.0082) | (0.0082) | (0.0089) | (0.0088) | (0.0121) | (0.0069) | (0.0077) | (0.0080) | ||||
2 | 0.0034 | 0.0035 | 0.0020 | 0.0020 | 0.0033 | 0.0031 | 0.0037 | 0.0011 | 0.0030 | 0.0024 | ||
(0.0032) | (0.0018) | (0.0018) | (0.0024) | (0.0026) | (0.0035) | (0.0011) | (0.0013) | (0.0021) | ||||
3 | 0.0436 | 0.0430 | 0.0362 | 0.0362 | 0.0435 | 0.0426 | 0.0441 | 0.0322 | 0.0406 | 0.0426 | ||
(0.0092) | (0.0075) | (0.0075) | (0.0082) | (0.0074) | (0.0105) | (0.0054) | (0.0071) | (0.0065) | ||||
5 | 0.0034 | 0.0033 | 0.0018 | 0.0018 | 0.0032 | 0.0028 | 0.0034 | 0.0011 | 0.0030 | 0.0023 | ||
(0.0028) | (0.0016) | (0.0016) | (0.0020) | (0.0023) | (0.0035) | (0.0011) | (0.0013) | (0.0021) | ||||
6 | 0.0034 | 0.0038 | 0.0023 | 0.0023 | 0.0033 | 0.0031 | 0.0033 | 0.0014 | 0.0028 | 0.0022 | ||
(0.0031) | (0.0019) | (0.0020) | (0.0021) | (0.0025) | (0.0035) | (0.0013) | (0.0014) | (0.0019) | ||||
9 | 0.0073 | 0.0080 | 0.0054 | 0.0054 | 0.0079 | 0.0088 | 0.0081 | 0.0036 | 0.0070 | 0.0092 | ||
(0.0038) | (0.0026) | (0.0026) | (0.0032) | (0.0037) | (0.0043) | (0.0019) | (0.0026) | (0.0031) | ||||
11 | 0.0034 | 0.0032 | 0.0018 | 0.0018 | 0.0030 | 0.0027 | 0.0032 | 0.0010 | 0.0029 | 0.0023 | ||
(0.0026) | (0.0016) | (0.0016) | (0.0022) | (0.0024) | (0.0031) | (0.0011) | (0.0015) | (0.0021) | ||||
15 | 0.0034 | 0.0035 | 0.0019 | 0.0019 | 0.0030 | 0.0028 | 0.0038 | 0.0012 | 0.0031 | 0.0028 | ||
(0.0033) | (0.0018) | (0.0018) | (0.0023) | (0.0025) | (0.0031) | (0.0010) | (0.0015) | (0.0021) | ||||
19 | 0.0068 | 0.0063 | 0.0039 | 0.0039 | 0.0062 | 0.0061 | 0.0066 | 0.0026 | 0.0056 | 0.0057 | ||
(0.0039) | (0.0025) | (0.0025) | (0.0029) | (0.0034) | (0.0041) | (0.0015) | (0.0018) | (0.0026) | ||||
20 | 0.0068 | 0.0068 | 0.0042 | 0.0042 | 0.0062 | 0.0063 | 0.0063 | 0.0026 | 0.0054 | 0.0059 | ||
(0.0039) | (0.0025) | (0.0025) | (0.0028) | (0.0030) | (0.0038) | (0.0015) | (0.0022) | (0.0026) | ||||
21 | 0.0034 | 0.0038 | 0.0022 | 0.0022 | 0.0035 | 0.0032 | 0.0037 | 0.0012 | 0.0031 | 0.0025 | ||
(0.0035) | (0.0020) | (0.0020) | (0.0023) | (0.0026) | (0.0034) | (0.0011) | (0.0015) | (0.0021) | ||||
22 | 0.0102 | 0.0105 | 0.0071 | 0.0071 | 0.0097 | 0.0103 | 0.0112 | 0.0052 | 0.0086 | 0.0098 | ||
(0.0058) | (0.0037) | (0.0037) | (0.0041) | (0.0041) | (0.0052) | (0.0022) | (0.0030) | (0.0029) | ||||
23 | 0.0034 | 0.0039 | 0.0022 | 0.0022 | 0.0031 | 0.0030 | 0.0035 | 0.0011 | 0.0030 | 0.0025 | ||
(0.0027) | (0.0015) | (0.0016) | (0.0021) | (0.0022) | (0.0030) | (0.0010) | (0.0015) | (0.0021) | ||||
24 | 0.0102 | 0.0105 | 0.0069 | 0.0069 | 0.0107 | 0.0114 | 0.0106 | 0.0049 | 0.0088 | 0.0115 | ||
(0.0050) | (0.0033) | (0.0033) | (0.0043) | (0.0042) | (0.0059) | (0.0023) | (0.0036) | (0.0043) | ||||
1, 3 | 0.0040 | 0.0046 | 0.0037 | 0.0037 | 0.0041 | 0.0040 | 0.0052 | 0.0041 | 0.0049 | 0.0047 | ||
(0.0041) | (0.0032) | (0.0032) | (0.0033) | (0.0034) | (0.0048) | (0.0029) | (0.0030) | (0.0031) | ||||
1, 9 | 0.0029 | 0.0036 | 0.0026 | 0.0026 | 0.0030 | 0.0022 | 0.0030 | 0.0018 | 0.0027 | 0.0010 | ||
(0.0027) | (0.0019) | (0.0019) | (0.0026) | (0.0028) | (0.0031) | (0.0015) | (0.0022) | (0.0020) | ||||
6, 7 | 0.0204 | 0.0191 | 0.0148 | 0.0146 | 0.0215 | 0.0199 | 0.0206 | 0.0124 | 0.0212 | 0.0223 | ||
(0.0067) | (0.0048) | (0.0047) | (0.0056) | (0.0054) | (0.0073) | (0.0037) | (0.0048) | (0.0046) | ||||
3, 14 | 0.0034 | 0.0030 | 0.0019 | 0.0019 | 0.0020 | 0.0027 | 0.0036 | 0.0015 | 0.0025 | 0.0029 | ||
(0.0029) | (0.0018) | (0.0018) | (0.0026) | (0.0025) | (0.0026) | (0.0011) | (0.0020) | (0.0018) | ||||
3, 6, 7 | 0.0034 | 0.0039 | 0.0029 | 0.0029 | 0.0021 | 0.0027 | 0.0038 | 0.0025 | 0.0024 | 0.0019 | ||
(0.0035) | (0.0025) | (0.0025) | (0.0029) | (0.0031) | (0.0041) | (0.0022) | (0.0028) | (0.0029) | ||||
1, 6, 7, 24 | 0.0034 | 0.0039 | 0.0028 | 0.0028 | 0.0007 | 0.0006 | 0.0039 | 0.0020 | 0.0002 | 0.0000 | ||
(0.0025) | (0.0019) | (0.0019) | (0.0019) | (0.0018) | (0.0026) | (0.0014) | (0.0009) | (0.0002) | ||||
1, 12, 13, 22, 25 | 0.0034 | 0.0035 | 0.0025 | 0.0024 | 0.0027 | 0.0032 | 0.0033 | 0.0017 | 0.0004 | 0.0031 | ||
(0.0022) | (0.0016) | (0.0017) | (0.0023) | (0.0023) | (0.0026) | (0.0013) | (0.0014) | (0.0020) | ||||
Sum of remaining | 0.0340 | 0.0227 | 0.0227 | 0.0102 | 0.0074 | 0.0703 | 0.0310 | 0.0255 | 0.0076 | |||
haplotype probabilities | ||||||||||||
Sum of probabilities | 0.0103 | 0.0097 | 0.0100 | 0.0132 | 0.0173 | 0.0131 | 0.0118 | 0.0111 | 0.0200 | |||
of missed haplotypes | ||||||||||||
Sum of squared errors | 0.00077 | 0.00125 | 0.00126 | 0.00059 | 0.00054 | 0.00101 | 0.00281 | 0.00055 | 0.00048 | |||
Length of list | 39.65 | 152.30 | 39.65 | 22.08 | 19.63 | 71.24 | 71.24 | 29.29 | 19.81 | |||
SD of length | (3.90) | (71.65) | (3.90) | (4.20) | (3.70) | (5.02) | (5.02) | (5.82) | (5.22) | |||
(b) n=200 | ||||||||||||
None | 0.7113 | 0.7108 | 0.7674 | 0.7677 | 0.7115 | 0.7219 | 0.7110 | 0.8075 | 0.7109 | 0.7374 | ||
(0.0202) | (0.0132) | (0.0132) | (0.0197) | (0.0161) | (0.0232) | (0.0119) | (0.0192) | (0.0147) | ||||
1 | 0.0034 | 0.0031 | 0.0013 | 0.0013 | 0.0032 | 0.0022 | 0.0034 | 0.0005 | 0.0031 | 0.0012 | ||
(0.0032) | (0.0014) | (0.0014) | (0.0022) | (0.0025) | (0.0054) | (0.0007) | (0.0015) | (0.0018) | ||||
3 | 0.0034 | 0.0039 | 0.0016 | 0.0016 | 0.0032 | 0.0028 | 0.0036 | 0.0005 | 0.0030 | 0.0017 | ||
(0.0034) | (0.0014) | (0.0014) | (0.0022) | (0.0025) | (0.0047) | (0.0007) | (0.0014) | (0.0022) | ||||
5 | 0.0034 | 0.0037 | 0.0016 | 0.0016 | 0.0035 | 0.0029 | 0.0036 | 0.0006 | 0.0032 | 0.0017 | ||
(0.0035) | (0.0015) | (0.0015) | (0.0022) | (0.0027) | (0.0049) | (0.0007) | (0.0013) | (0.0022) | ||||
7 | 0.0068 | 0.0066 | 0.0038 | 0.0041 | 0.0061 | 0.0064 | 0.0065 | 0.0027 | 0.0058 | 0.0061 | ||
(0.0048) | (0.0024) | (0.0028) | (0.0030) | (0.0040) | (0.0070) | (0.0024) | (0.0024) | (0.0053) | ||||
9 | 0.0034 | 0.0037 | 0.0015 | 0.0015 | 0.0034 | 0.0029 | 0.0038 | 0.0006 | 0.0031 | 0.0016 | ||
(0.0038) | (0.0016) | (0.0016) | (0.0024) | (0.0029) | (0.0049) | (0.0008) | (0.0015) | (0.0022) | ||||
10 | 0.0102 | 0.0098 | 0.0050 | 0.0050 | 0.0087 | 0.0093 | 0.0103 | 0.0026 | 0.0088 | 0.0085 | ||
(0.0059) | (0.0029) | (0.0030) | (0.0035) | (0.0035) | (0.0072) | (0.0017) | (0.0026) | (0.0042) | ||||
11 | 0.0034 | 0.0038 | 0.0016 | 0.0016 | 0.0032 | 0.0029 | 0.0027 | 0.0004 | 0.0031 | 0.0010 | ||
(0.0030) | (0.0013) | (0.0013) | (0.0023) | (0.0026) | (0.0044) | (0.0007) | (0.0014) | (0.0019) | ||||
14 | 0.0034 | 0.0034 | 0.0014 | 0.0014 | 0.0031 | 0.0023 | 0.0030 | 0.0004 | 0.0029 | 0.0013 | ||
(0.0037) | (0.0016) | (0.0016) | (0.0022) | (0.0027) | (0.0048) | (0.0007) | (0.0015) | (0.0021) | ||||
17 | 0.0034 | 0.0033 | 0.0014 | 0.0014 | 0.0029 | 0.0023 | 0.0031 | 0.0005 | 0.0028 | 0.0014 | ||
(0.0035) | (0.0014) | (0.0014) | (0.0021) | (0.0024) | (0.0047) | (0.0008) | (0.0015) | (0.0021) | ||||
20 | 0.0034 | 0.0037 | 0.0015 | 0.0015 | 0.0030 | 0.0025 | 0.0028 | 0.0004 | 0.0029 | 0.0014 | ||
(0.0035) | (0.0014) | (0.0014) | (0.0019) | (0.0025) | (0.0042) | (0.0006) | (0.0014) | (0.0021) | ||||
21 | 0.0264 | 0.0251 | 0.0164 | 0.0164 | 0.0252 | 0.0252 | 0.0266 | 0.0117 | 0.0257 | 0.0260 | ||
(0.0089) | (0.0051) | (0.0051) | (0.0064) | (0.0063) | (0.0135) | (0.0040) | (0.0055) | (0.0056) | ||||
22 | 0.0068 | 0.0074 | 0.0040 | 0.0040 | 0.0095 | 0.0099 | 0.0067 | 0.0016 | 0.0089 | 0.0074 | ||
(0.0055) | (0.0029) | (0.0029) | (0.0040) | (0.0051) | (0.0067) | (0.0017) | (0.0038) | (0.0062) | ||||
24 | 0.0306 | 0.0307 | 0.0223 | 0.0234 | 0.0289 | 0.0295 | 0.0297 | 0.0194 | 0.0273 | 0.0291 | ||
(0.0096) | (0.0066) | (0.0066) | (0.0070) | (0.0074) | (0.0146) | (0.0049) | (0.0058) | (0.0061) | ||||
25 | 0.0136 | 0.0138 | 0.0075 | 0.0075 | 0.0129 | 0.0129 | 0.0155 | 0.0047 | 0.0139 | 0.0125 | ||
(0.0072) | (0.0036) | (0.0036) | (0.0040) | (0.0036) | (0.0100) | (0.0029) | (0.0042) | (0.0051) | ||||
26 | 0.0034 | 0.0033 | 0.0013 | 0.0013 | 0.0029 | 0.0023 | 0.0037 | 0.0005 | 0.0031 | 0.0014 | ||
(0.0035) | (0.0014) | (0.0014) | (0.0024) | (0.0026) | (0.0052) | (0.0007) | (0.0014) | (0.0021) | ||||
28 | 0.0675 | 0.0661 | 0.0487 | 0.0488 | 0.0615 | 0.0640 | 0.0668 | 0.0390 | 0.0614 | 0.0629 | ||
(0.0136) | (0.0089) | (0.0089) | (0.0107) | (0.0105) | (0.0162) | (0.0075) | (0.0090) | (0.0086) | ||||
30 | 0.0036 | 0.0032 | 0.0017 | 0.0017 | 0.0070 | 0.0064 | 0.0043 | 0.0009 | 0.0077 | 0.0060 | ||
(0.0029) | (0.0015) | (0.0015) | (0.0039) | (0.0056) | (0.0053) | (0.0011) | (0.0040) | (0.0067) | ||||
31 | 0.0034 | 0.0037 | 0.0016 | 0.0016 | 0.0031 | 0.0025 | 0.0031 | 0.0004 | 0.0030 | 0.0014 | ||
(0.0037) | (0.0016) | (0.0016) | (0.0021) | (0.0025) | (0.0044) | (0.0006) | (0.0013) | (0.0020) | ||||
32 | 0.0038 | 0.0034 | 0.0016 | 0.0016 | 0.0045 | 0.0041 | 0.0041 | 0.0007 | 0.0042 | 0.0029 | ||
(0.0032) | (0.0015) | (0.0016) | (0.0029) | (0.0037) | (0.0060) | (0.0010) | (0.0021) | (0.0038) | ||||
2, 25 | 0.0034 | 0.0034 | 0.0015 | 0.0015 | 0.0021 | 0.0026 | 0.0036 | 0.0006 | 0.0013 | 0.0018 | ||
(0.0033) | (0.0015) | (0.0015) | (0.0029) | (0.0028) | (0.0048) | (0.0008) | (0.0020) | (0.0023) | ||||
7, 24 | 0.0510 | 0.0507 | 0.0403 | 0.0386 | 0.0525 | 0.0530 | 0.0523 | 0.0319 | 0.0524 | 0.0519 | ||
(0.0120) | (0.0079) | (0.0078) | (0.0094) | (0.0084) | (0.0139) | (0.0063) | (0.0089) | (0.0064) | ||||
12, 13 | 0.0034 | 0.0031 | 0.0013 | 0.0013 | 0.0016 | 0.0023 | 0.0029 | 0.0005 | 0.0011 | 0.0014 | ||
(0.0033) | (0.0015) | (0.0015) | (0.0025) | (0.0026) | (0.0049) | (0.0009) | (0.0020) | (0.0022) | ||||
21, 23 | 0.0034 | 0.0031 | 0.0015 | 0.0015 | 0.0018 | 0.0023 | 0.0035 | 0.0007 | 0.0016 | 0.0019 | ||
(0.0035) | (0.0016) | (0.0016) | (0.0027) | (0.0026) | (0.0042) | (0.0009) | (0.0023) | (0.0023) | ||||
21, 28 | 0.0009 | 0.0031 | 0.0021 | 0.0021 | 0.0022 | 0.0019 | 0.0035 | 0.0016 | 0.0015 | 0.0010 | ||
(0.0038) | (0.0022) | (0.0022) | (0.0027) | (0.0030) | (0.0050) | (0.0017) | (0.0023) | (0.0027) | ||||
21, 30 | 0.0033 | 0.0035 | 0.0018 | 0.0018 | 0.0022 | 0.0018 | 0.0035 | 0.0008 | 0.0016 | 0.0012 | ||
(0.0033) | (0.0016) | (0.0016) | (0.0027) | (0.0027) | (0.0044) | (0.0010) | (0.0024) | (0.0023) | ||||
22, 30 | 0.0034 | 0.0029 | 0.0014 | 0.0013 | 0.0017 | 0.0017 | 0.0037 | 0.0007 | 0.0014 | 0.0014 | ||
(0.0031) | (0.0015) | (0.0015) | (0.0024) | (0.0027) | (0.0051) | (0.0009) | (0.0021) | (0.0022) | ||||
24, 28 | 0.0034 | 0.0042 | 0.0034 | 0.0033 | 0.0036 | 0.0035 | 0.0064 | 0.0036 | 0.0037 | 0.0040 | ||
(0.0048) | (0.0030) | (0.0030) | (0.0032) | (0.0034) | (0.0072) | (0.0028) | (0.0029) | (0.0036) | ||||
28, 32 | 0.0030 | 0.0034 | 0.0019 | 0.0019 | 0.0022 | 0.0019 | 0.0033 | 0.0011 | 0.0018 | 0.0018 | ||
(0.0033) | (0.0018) | (0.0019) | (0.0028) | (0.0028) | (0.0037) | (0.0011) | (0.0021) | (0.0026) | ||||
4, 7, 24 | 0.0034 | 0.0028 | 0.0015 | 0.0016 | 0.0013 | 0.0024 | 0.0028 | 0.0008 | 0.0008 | 0.0019 | ||
(0.0025) | (0.0014) | (0.0014) | (0.0022) | (0.0022) | (0.0027) | (0.0008) | (0.0016) | (0.0019) | ||||
7, 22, 24 | 0.0034 | 0.0042 | 0.0025 | 0.0026 | 0.0019 | 0.0011 | 0.0029 | 0.0015 | 0.0018 | 0.0012 | ||
(0.0036) | (0.0022) | (0.0021) | (0.0028) | (0.0024) | (0.0034) | (0.0013) | (0.0024) | (0.0025) | ||||
7, 24, 30 | 0.0034 | 0.0034 | 0.0023 | 0.0023 | 0.0019 | 0.0018 | 0.0033 | 0.0014 | 0.0018 | 0.0018 | ||
(0.0032) | (0.0022) | (0.0022) | (0.0031) | (0.0031) | (0.0035) | (0.0013) | (0.0024) | (0.0029) | ||||
Sum of remaining | 0.0828 | 0.0454 | 0.0453 | 0.0178 | 0.0083 | 0.2194 | 0.0592 | 0.0243 | 0.0160 | |||
haplotype probabilities | ||||||||||||
Sum of probabilities | 0.0278 | 0.0265 | 0.0271 | 0.0263 | 0.0384 | 0.0474 | 0.0462 | 0.0222 | 0.0553 | |||
of missed haplotypes | ||||||||||||
Sum of squared errors | 0.00161 | 0.00451 | 0.00456 | 0.00103 | 0.00100 | 0.00334 | 0.01152 | 0.00092 | 0.00152 | |||
Length of list | 62.39 | 159.68 | 62.39 | 30.60 | 23.57 | 106.91 | 106.91 | 36.11 | 21.92 | |||
SD of length | (4.88) | (27.84) | (4.88) | (6.04) | (4.22) | (6.41) | (6.41) | (7.12) | (5.11) |