! Multivariate example - longitudinal data ! Dutch twins - IQ tests ages 5, 7, 10 and 12 years ! ! ! Group 1 fits model to MZ male data ! Group 2 fits model to DZ male data ! Group 3 fits model to MZ female data ! Group 4 fits model to DZ female data! ! Group 5 fits model to DZ male-female data The following MX script lines were read for group 1 #DEFINE NVAR 8 #NGROUPS 5 Note: #NGroup set number of groups to 5 TITLE G1: MALE MZ TWIN PAIRS DATA NINPUT_VARS=8 NOBSERVATIONS=0 LABELS T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 MISSING=-1 NOTE: Missing value *string* set to '-1' REC FILE=IQ4MZM.REC NOTE: Rectangular file contained 42 records with data MATRICES X LOWER NVAR NVAR FREE ! TRIANGULAR DECOMPOSITION M FULL NVAR 1 FREE !MEANS END MATRICES; COVARIANCES X*X'; MEANS M; OPTION RSIDUALS END The following MX script lines were read for group 2 TITLE G1: MALE DZ TWIN PAIRS DATA NINPUT_VARS=8 NOBSERVATIONS=0 LABELS T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 MISSING=-1 NOTE: Missing value *string* set to '-1' REC FILE=IQ4DZM.REC NOTE: Rectangular file contained 44 records with data MATRICES X LOWER NVAR NVAR FREE ! TRIANGULAR DECOMPOSITION M FULL NVAR 1 FREE !MEANS END MATRICES; COVARIANCES X*X'; MEANS M; OPTION RSIDUALS END The following MX script lines were read for group 3 TITLE G1: FEMALE MZ TWIN PAIRS DATA NINPUT_VARS=8 NOBSERVATIONS=0 LABELS T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 MISSING=-1 NOTE: Missing value *string* set to '-1' REC FILE=IQ4MZF.REC NOTE: Rectangular file contained 47 records with data MATRICES X LOWER NVAR NVAR FREE ! TRIANGULAR DECOMPOSITION M FULL NVAR 1 FREE !MEANS END MATRICES; COVARIANCES X*X'; MEANS M; OPTION RSIDUALS END The following MX script lines were read for group 4 TITLE G1: FEMALE DZ TWIN PAIRS DATA NINPUT_VARS=8 NOBSERVATIONS=0 LABELS T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 MISSING=-1 NOTE: Missing value *string* set to '-1' REC FILE=IQ4DZF.REC NOTE: Rectangular file contained 37 records with data MATRICES X LOWER NVAR NVAR FREE ! TRIANGULAR DECOMPOSITION M FULL NVAR 1 FREE !MEANS END MATRICES; COVARIANCES X*X'; MEANS M; OPTION RSIDUALS END The following MX script lines were read for group 5 TITLE G2: MALE-FEMALE DZ TWIN PAIRS DATA NINPUT_VARS=8 NOBSERVATIONS=0 LABELS T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 MISSING=-1 NOTE: Missing value *string* set to '-1' REC FILE=IQ4DOS.REC NOTE: Rectangular file contained 39 records with data MATRICES X LOWER NVAR NVAR FREE ! TRIANGULAR DECOMPOSITION M FULL NVAR 1 FREE !MEANS END MATRICES; COVARIANCES X*X'; MEANS M; OPTION RSIDUALS OPTION NDECIMALS=4 START .5 ALL START 10 X 1 1 1 X 1 2 2 X 1 3 3 X 1 4 4 X 1 5 5 X 1 6 6 X 1 7 7 X 1 8 8 START 10 X 2 1 1 X 2 2 2 X 2 3 3 X 2 4 4 X 2 5 5 X 2 6 6 X 2 7 7 X 2 8 8 START 10 X 3 1 1 X 3 2 2 X 3 3 3 X 3 4 4 X 3 5 5 X 3 6 6 X 3 7 7 X 3 8 8 START 10 X 4 1 1 X 4 2 2 X 4 3 3 X 4 4 4 X 4 5 5 X 4 6 6 X 4 7 7 X 4 8 8 START 10 X 5 1 1 X 5 2 2 X 5 3 3 X 5 4 4 X 5 5 5 X 5 6 6 X 5 7 7 X 5 8 8 START 100 M 1 1 1 - M 1 8 1 START 100 M 2 1 1 - M 2 8 1 START 100 M 3 1 1 - M 3 8 1 START 100 M 4 1 1 - M 4 8 1 START 100 M 5 1 1 - M 5 8 1 END Summary of VL file data for group 1 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Code 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 Number 42.0000 37.0000 38.0000 32.0000 42.0000 37.0000 38.0000 Mean 103.0000 104.4324 105.7368 98.6563 100.9048 102.8919 107.1842 Variance 189.6190 193.9752 228.0886 133.0381 177.1814 158.9613 206.5187 Minimum 71.0000 75.0000 72.0000 80.0000 71.0000 80.0000 79.0000 Maximum 137.0000 139.0000 145.0000 128.0000 129.0000 130.0000 142.0000 T2IQ12 Code 8.0000 Number 30.0000 Mean 98.5667 Variance 212.7122 Minimum 67.0000 Maximum 137.0000 Summary of VL file data for group 2 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Code 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 Number 44.0000 41.0000 41.0000 33.0000 43.0000 41.0000 41.0000 Mean 98.8182 100.4634 106.2439 100.3030 102.1860 101.2683 107.0976 Variance 152.1942 242.8828 186.6234 171.9688 137.1747 212.9280 131.4539 Minimum 69.0000 67.0000 77.0000 72.0000 73.0000 70.0000 74.0000 Maximum 126.0000 138.0000 143.0000 138.0000 139.0000 125.0000 131.0000 T2IQ12 Code 8.0000 Number 33.0000 Mean 101.1212 Variance 166.6520 Minimum 80.0000 Maximum 135.0000 Summary of VL file data for group 3 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Code 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 Number 47.0000 42.0000 43.0000 36.0000 47.0000 42.0000 43.0000 Mean 103.5106 101.7143 106.6279 99.2222 105.2340 103.0714 107.8837 Variance 175.1861 229.9184 317.7220 203.3395 196.7750 261.2092 329.1260 Minimum 75.0000 72.0000 73.0000 70.0000 75.0000 74.0000 63.0000 Maximum 127.0000 135.0000 145.0000 127.0000 137.0000 145.0000 140.0000 T2IQ12 Code 8.0000 Number 36.0000 Mean 100.3333 Variance 187.5000 Minimum 67.0000 Maximum 126.0000 Summary of VL file data for group 4 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Code 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 Number 37.0000 34.0000 37.0000 31.0000 37.0000 34.0000 37.0000 Mean 101.2703 101.7647 103.9730 99.9032 102.0541 101.8235 104.0270 Variance 198.7918 185.0035 221.9182 156.3455 159.6187 137.6159 247.3776 Minimum 74.0000 62.0000 69.0000 61.0000 80.0000 79.0000 70.0000 Maximum 142.0000 123.0000 145.0000 126.0000 139.0000 130.0000 142.0000 T2IQ12 Code 8.0000 Number 31.0000 Mean 99.9355 Variance 149.9958 Minimum 74.0000 Maximum 124.0000 Summary of VL file data for group 5 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Code 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 Number 39.0000 38.0000 37.0000 34.0000 39.0000 38.0000 37.0000 Mean 107.2051 106.2368 112.8108 102.2941 102.3590 104.5263 107.9730 Variance 173.7015 229.2860 255.6129 181.5017 132.8968 251.8809 220.1344 Minimum 64.0000 65.0000 69.0000 64.0000 70.0000 64.0000 72.0000 Maximum 128.0000 137.0000 140.0000 125.0000 121.0000 133.0000 137.0000 T2IQ12 Code 8.0000 Number 35.0000 Mean 100.8571 Variance 137.8939 Minimum 66.0000 Maximum 128.0000 PARAMETER SPECIFICATIONS GROUP NUMBER: 1 Title G1: male MZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 37 2 38 3 39 4 40 5 41 6 42 7 43 8 44 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 8 1 1 2 2 3 3 4 5 6 4 7 8 9 10 5 11 12 13 14 15 6 16 17 18 19 20 21 7 22 23 24 25 26 27 28 8 29 30 31 32 33 34 35 36 GROUP NUMBER: 2 Title G1: male DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 81 2 82 3 83 4 84 5 85 6 86 7 87 8 88 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 8 1 45 2 46 47 3 48 49 50 4 51 52 53 54 5 55 56 57 58 59 6 60 61 62 63 64 65 7 66 67 68 69 70 71 72 8 73 74 75 76 77 78 79 80 GROUP NUMBER: 3 Title G1: female MZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 125 2 126 3 127 4 128 5 129 6 130 7 131 8 132 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 8 1 89 2 90 91 3 92 93 94 4 95 96 97 98 5 99 100 101 102 103 6 104 105 106 107 108 109 7 110 111 112 113 114 115 116 8 117 118 119 120 121 122 123 124 GROUP NUMBER: 4 Title G1: female DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 169 2 170 3 171 4 172 5 173 6 174 7 175 8 176 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 8 1 133 2 134 135 3 136 137 138 4 139 140 141 142 5 143 144 145 146 147 6 148 149 150 151 152 153 7 154 155 156 157 158 159 160 8 161 162 163 164 165 166 167 168 GROUP NUMBER: 5 Title G2: male-female DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 213 2 214 3 215 4 216 5 217 6 218 7 219 8 220 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 8 1 177 2 178 179 3 180 181 182 4 183 184 185 186 5 187 188 189 190 191 6 192 193 194 195 196 197 7 198 199 200 201 202 203 204 8 205 206 207 208 209 210 211 212 MX PARAMETER ESTIMATES GROUP NUMBER: 1 Title G1: male MZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 103.0004 2 102.6220 3 104.0823 4 98.4837 5 100.9051 6 101.8423 7 105.9417 8 98.1990 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 1 13.7706 2 11.0402 10.2532 3 9.9760 5.4270 10.8080 4 7.5850 2.7407 5.7323 5.4511 5 10.2796 2.4301 2.6074 0.1124 7.6683 6 7.9200 2.7289 3.0190 3.2100 -0.5256 8.7513 7 10.5613 1.5562 5.0933 2.3573 0.6506 2.8579 7.7118 8 9.6665 1.1566 5.3334 5.7399 -0.5373 -0.1931 2.2395 8 1 2 3 4 5 6 7 8 6.4958 Vector of OBSERVED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 103.0000 104.4324 105.7368 98.6563 100.9048 102.8919 107.1842 T2IQ12 Mean 98.5667 Vector of EXPECTED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 103.0004 102.6220 104.0823 98.4837 100.9051 101.8423 105.9417 T2IQ12 Mean 98.1990 (OBSERVED MATRIX is nonexistent for raw data) EXPECTED COVARIANCE MATRIX T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T1IQ5 189.6282 T1IQ7 152.0295 227.0146 T1IQ10 137.3757 165.7819 245.7865 T1IQ12 104.4496 111.8404 152.4962 127.6171 T2IQ5 141.5559 138.4049 143.9191 100.1901 177.1897 T2IQ7 109.0627 115.4187 126.4500 102.3563 92.2482 166.4542 T2IQ10 145.4346 132.5546 168.8540 126.4187 130.8822 135.5047 213.5238 T2IQ12 133.1127 118.5784 160.3530 138.3512 112.6093 112.8337 160.9548 T2IQ12 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 203.7063 Function value of this group: 2124.4237 Where the fit function is -2 * Log-likelihood of raw data GROUP NUMBER: 2 Title G1: male DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 98.8183 2 100.0933 3 106.1800 4 98.7622 5 102.0052 6 100.7473 7 106.8150 8 99.5290 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 1 12.3372 2 10.7342 11.1069 3 8.9725 3.9005 9.2572 4 9.7575 2.2146 5.2749 6.9002 5 6.2820 -1.7557 -0.1489 -0.1756 9.7234 6 6.0127 2.5274 1.0485 0.3985 5.5931 11.6268 7 4.3604 0.5367 4.4276 2.5837 3.4832 3.4866 7.8750 8 4.8174 0.1090 3.2958 5.9813 5.0903 4.3022 3.5583 8 1 2 3 4 5 6 7 8 7.9050 Vector of OBSERVED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 98.8182 100.4634 106.2439 100.3030 102.1860 101.2683 107.0976 T2IQ12 Mean 101.1212 Vector of EXPECTED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 98.8183 100.0933 106.1800 98.7622 102.0052 100.7473 106.8150 T2IQ12 Mean 99.5290 (OBSERVED MATRIX is nonexistent for raw data) EXPECTED COVARIANCE MATRIX T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T1IQ5 152.2072 T1IQ7 132.4302 238.5852 T1IQ10 110.6960 139.6350 181.4150 T1IQ12 120.3809 129.3363 145.0186 175.5519 T2IQ5 77.5024 47.9321 48.1388 55.4114 137.1429 T2IQ7 74.1797 92.6132 73.5131 72.5464 87.4920 210.2634 T2IQ10 53.7954 52.7663 82.2044 84.9186 59.2049 93.2652 131.8843 T2IQ12 59.4338 52.9225 74.1598 105.9051 78.0256 113.5715 111.8622 T2IQ12 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 189.4274 Function value of this group: 2333.0311 Where the fit function is -2 * Log-likelihood of raw data GROUP NUMBER: 3 Title G1: female MZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 103.5102 2 101.8301 3 105.9116 4 99.5382 5 105.2336 6 103.1867 7 107.5797 8 100.5161 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 1 13.2359 2 11.0137 10.6797 3 12.6458 8.2202 9.8305 4 9.8470 4.1661 4.2788 8.5719 5 10.8500 3.4071 0.4383 3.3761 7.4741 6 10.4873 8.1797 3.6496 4.1482 0.7974 8.5014 7 11.2582 8.1417 7.5249 4.5952 0.0769 2.1767 7.1808 8 8.2417 5.0144 5.1441 5.4196 2.0076 0.1351 1.8009 8 1 2 3 4 5 6 7 8 5.7062 Vector of OBSERVED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 103.5106 101.7143 106.6279 99.2222 105.2340 103.0714 107.8837 T2IQ12 Mean 100.3333 Vector of EXPECTED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 103.5102 101.8301 105.9116 99.5382 105.2336 103.1867 107.5797 T2IQ12 Mean 100.5161 (OBSERVED MATRIX is nonexistent for raw data) EXPECTED COVARIANCE MATRIX T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T1IQ5 175.1902 T1IQ7 145.7767 235.3580 T1IQ10 167.3788 227.0658 324.1259 T1IQ12 130.3344 152.9445 200.8321 206.1052 T2IQ5 143.6099 155.8858 169.5230 151.8492 196.7830 T2IQ7 138.8089 202.8599 235.7354 188.5193 163.2202 280.3264 T2IQ10 149.0131 210.9458 283.2692 216.3661 169.2784 249.7554 327.0835 T2IQ12 109.0864 144.3242 196.0109 170.5135 142.0641 171.4542 210.6061 T2IQ12 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 188.7567 Function value of this group: 2419.5435 Where the fit function is -2 * Log-likelihood of raw data GROUP NUMBER: 4 Title G1: female DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 101.2708 2 101.5372 3 103.9733 4 98.0936 5 102.0545 6 101.5674 7 104.0273 8 97.5888 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 1 14.0997 2 9.4871 9.8576 3 10.1224 5.6745 9.3420 4 9.3729 5.6685 4.0329 6.3885 5 9.2160 -0.8030 1.3060 -1.0446 8.4412 6 6.0534 3.4041 0.3364 1.7717 5.9483 8.1409 7 7.0755 0.8806 3.2134 1.6478 7.5029 4.1925 10.4712 8 5.9896 4.9135 3.9617 3.5479 2.2488 5.5048 5.4811 8 1 2 3 4 5 6 7 8 5.6603 Vector of OBSERVED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 101.2703 101.7647 103.9730 99.9032 102.0541 101.8235 104.0270 T2IQ12 Mean 99.9355 Vector of EXPECTED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 101.2708 101.5372 103.9733 98.0936 102.0545 101.5674 104.0273 T2IQ12 Mean 97.5888 (OBSERVED MATRIX is nonexistent for raw data) EXPECTED COVARIANCE MATRIX T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T1IQ5 198.8027 T1IQ7 133.7655 187.1763 T1IQ10 142.7239 151.9695 221.9369 T1IQ12 132.1549 144.7987 164.7180 177.0603 T2IQ5 129.9430 79.5177 100.9329 80.4224 159.6305 T2IQ7 85.3507 90.9848 83.7338 88.7088 101.8536 153.1391 T2IQ10 99.7632 75.8068 106.6379 94.7960 130.3100 128.5881 247.3956 T2IQ12 84.4516 105.2588 125.5212 122.6350 71.7051 118.7921 162.6281 T2IQ12 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 185.7428 Function value of this group: 2005.4178 Where the fit function is -2 * Log-likelihood of raw data GROUP NUMBER: 5 Title G2: male-female DZ twin pairs MATRIX M This is a FULL matrix of order 8 by 1 1 1 107.2061 2 106.2864 3 112.7682 4 102.5528 5 102.3598 6 104.5685 7 108.1543 8 100.3102 MATRIX X This is a LOWER TRIANGULAR matrix of order 8 by 8 1 2 3 4 5 6 7 1 13.1802 2 10.5050 10.7217 3 11.8710 4.8312 9.1544 4 8.2073 6.1740 2.0272 10.5879 5 7.4445 -0.3889 -0.7124 5.1824 7.0692 6 8.0197 4.4335 -4.6706 3.6793 2.4402 11.1231 7 6.8823 4.8480 0.6883 6.1792 3.4738 5.5717 7.8814 8 6.3236 2.6704 0.3796 -0.9307 0.8409 3.7134 0.1605 8 1 2 3 4 5 6 7 8 9.2713 Vector of OBSERVED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 107.2051 106.2368 112.8108 102.2941 102.3590 104.5263 107.9730 T2IQ12 Mean 100.8571 Vector of EXPECTED means T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 Mean 107.2061 106.2864 112.7682 102.5528 102.3598 104.5685 108.1543 T2IQ12 Mean 100.3102 (OBSERVED MATRIX is nonexistent for raw data) EXPECTED COVARIANCE MATRIX T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T1IQ5 173.7180 T1IQ7 138.4578 225.3089 T1IQ10 156.4629 176.5036 248.0655 T1IQ12 108.1742 152.4134 145.8148 221.6915 T2IQ5 98.1197 74.0342 79.9735 112.1244 132.9092 T2IQ7 105.7008 131.7810 73.8645 122.6801 97.6227 249.0012 T2IQ10 90.7104 124.2774 111.4227 153.2368 105.4395 166.6600 214.7536 T2IQ12 83.3464 95.0600 91.4441 59.3017 46.8878 100.7110 75.8527 T2IQ12 T1IQ5 T1IQ7 T1IQ10 T1IQ12 T2IQ5 T2IQ7 T2IQ10 T2IQ12 148.6074 Function value of this group: 2196.3322 Where the fit function is -2 * Log-likelihood of raw data Your model has 220 estimated parameters and 1524 Observed statistics -2 times log-likelihood of data >>> 11078.748 Degrees of freedom >>>>>>>>>>>>>>>> 1304 This problem used 31.4% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.66 Execution 0: 0: 1:59.02 TOTAL 0: 0: 1:59.68 Total number of warnings issued: 0 ______________________________________________________________________________