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Table 1

Possible data situations for cows on and milkings. For milkings, the code (ijk) under the heading "Which Milkings" indicates when the samples were taken during the three milkings where i,j,k correspond to morning, afternoon, and evening milkings, respectively, and 0 means no samples were taken at that milking and 1 means that they were.

 Number of Which Number of Which milk weights milkings fat and protein milkings determinations Milkings 3 111 3 111 2 110 101 011 1 100 010 001 2 110 2 110 1 100 010 101 2 101 1 100 001 011 2 011 1 010 001 1 100 1 100 1 010 1 010 1 001 1 001 Milkings 2 AM PM 2 AM PM 1 AM 1 PM 1 AM 1 AM 1 PM 1 PM

Table 2

Means and variances of 24 h test day yields (kg).

 Trait Cows Records Mean Variance data Milk yield 2,384 14,013 27.0 81.60 Fat yield 2,378 13,899 0.983 0.0981 Protein yield 2,380 13,929 0.873 0.0659 data Milk yield 996 3,857 32.8 84.66 Fat yield 988 3,592 1.116 0.1154 Protein yield 988 3,592 1.041 0.0600

Table 3

Definition of days in milk classes.

 Class Range 1 d 2 31 to 50 d 3 51 to 70 d 4 71 to 90 d 5 91 to 110 d 6 111 to 130 d 7 131 to 150 d 8 151 to 180 d 9 181 to 220 d 10 221 to 260 d 11 261 to 300 d 12 >300 d

Table 4

Prediction equations for fat and protein yields for first lactation Holsteins calving between October to April for milking herds.

 Milk Fat, Days in Inter AM PM AM PM AM PM Samples Prot. Milk -cept INT Milk Milk Fat Fat Prot Prot Fat Yields AM,PM AM d 0.0705 0.0001 -0.0255 0.0380 1.4198 0.2315 91-110d 0.1255 -0.0001 -0.0331 0.0276 1.2625 0.7443 221-260d 0.0496 0.0004 -0.0215 0.0343 1.4370 0.1372 AM,PM PM d 0.0405 0.0002 0.0346 -0.0345 1.3776 0.5893 91-110d 0.0262 0.0001 0.0329 -0.0261 1.3869 0.3294 221-260d 0.0900 0.0001 0.0305 -0.0387 1.4529 0.5732 AM AM d 0.2358 -0.0001 0.0104 1.2490 -0.0607 91-110d 0.3059 -0.0005 -0.0060 1.1396 0.4050 221-260d 0.2235 -0.0007 0.0005 1.4419 -0.0011 PM PM d 0.2623 0.0000 0.0079 1.3281 -0.1241 91-110d 0.2206 -0.0005 0.0051 1.2927 0.0709 221-260d 0.2208 -0.0006 -0.0055 1.3750 0.3035 Protein Yields AM,PM AM d 0.0083 0.0000 -0.0249 0.0303 0.0551 1.7390 91-110d 0.0106 0.0000 -0.0209 0.0325 -0.0156 1.6345 221-260d 0.0117 -0.0001 -0.0207 0.0328 -0.0282 1.6607 AM,PM PM d 0.0156 0.0000 0.0300 -0.0269 -0.0099 1.8679 91-110d 0.0050 0.0000 0.0326 -0.0310 0.0179 1.9048 221-260d -0.0023 -0.0002 0.0323 -0.0328 0.0549 1.9454 AM AM d 0.1430 -0.0001 0.0040 -0.0893 1.4914 91-110d 0.2105 -0.0005 0.0099 -0.1395 1.2869 221-260d 0.1740 -0.0012 -0.0004 -0.0202 1.5544 PM PM d 0.2145 -0.0002 0.0100 -0.0471 1.2242 91-110d 0.1997 -0.0007 -0.0003 -0.0765 1.6556 221-260d 0.1366 -0.0009 0.0022 -0.0232 1.6581

Table 5

Variance of the difference of estimated 24 h yield from actual 24 h yields for fat and protein and their accuracies from data set 2 for milking schemes.

 Milk weights Fat, protein Var(dif) Accuracy taken on taken on Fat Prot Fat Prot AM PM AM 0.0069 0.0003 0.93 0.995 AM PM PM 0.0086 0.0005 0.92 0.99 AM AM 0.0123 0.0059 0.89 0.92 PM PM 0.0140 0.0069 0.88 0.91 None AM 0.0120 0.0057 0.89 0.92 None PM 0.0136 0.0068 0.88 0.91 None AM fat only 0.0131 0.88 None PM fat only 0.0134 0.88 None AM prot only 0.0057 0.92 None PM prot only 0.0069 0.91

Table 6

Variance of the difference of estimated 24 h yield from actual 24 h yields for fat and protein and their accuracies from the complete data for milking schemes.

 Milk weights Fat, protein Var(dif) Accuracy taken on taken on Milk Fat Prot Milk Fat Prot AM PM AM 0.000 0.0059 0.0003 1.00 0.94 0.995 AM PM PM 0.000 0.0074 0.0004 1.00 0.93 0.99 AM AM 4.546 0.0112 0.0048 0.95 0.90 0.93 PM PM 4.702 0.0122 0.0050 0.95 0.89 0.93 AM None 4.658 0.95 PM None 4.882 0.94 None AM 0.0111 0.0048 0.90 0.93 None PM 0.0121 0.0050 0.89 0.93 None AM fat only 0.0123 0.89 None PM fat only 0.0122 0.89 None AM prot only 0.0049 0.93 None PM prot only 0.0051 0.93

Table 7
Variance of the difference of estimated 24 h yield from actual 24 h yields for milk, fat and protein and their accuracies from the complete data for milking schemes using the current official factors.

 Trait Sample Var(dif) Accuracy Milk AM 5.053 0.94 PM 7.573 0.92 Fat AM 0.0166 0.86 PM 0.0193 0.84 Protein AM 0.0054 0.92 PM 0.0081 0.89

Table 8

Prediction equations for fat and protein yields for first lactation Holsteins calving between October to April for milking herds.

 Milk Fat, Days in Inter 1st 2nd 1st 2nd 1st 2nd Samples Prot. Milk -cept INT1 INT2 Milk Milk Fat Fat Prot Prot Fat Yields 110 110 d 0.1405 0.0004 0.0016 -0.0148 0.0223 1.0783 1.1410 0.0537 0.2326 91-110d 0.1994 -0.0002 -0.0004 0.0439 -0.0275 0.9733 1.1700 -1.2844 0.9995 221-260d 0.1906 -0.0004 -0.0012 0.0059 0.0096 0.8596 0.9137 0.2845 -0.0637 110 100 d 0.1830 0.0008 0.0015 -0.0491 0.0538 1.4476 1.1285 91-110d 0.3106 0.0001 -0.0005 -0.0202 0.0348 1.6150 -0.0353 221-260d 0.2438 -0.0010 -0.0017 0.0130 0.0417 1.1973 -0.5177 110 010 d 0.2109 0.0004 0.0018 0.0216 0.0016 1.6640 0.2387 91-110d 0.2576 -0.0005 -0.0006 0.0407 -0.0111 1.6989 -0.4395 221-260d 0.3268 -0.0007 -0.0004 0.0519 -0.0289 1.0240 0.3238 Protein Yields 110 110 d 0.1269 0.0002 0.0010 0.0212 -0.0043 -0.1701 0.1380 0.4753 1.6475 91-110d 0.1189 -0.0007 -0.0009 -0.0001 0.0059 -0.0401 -0.0844 1.2578 1.3423 221-260d 0.1135 -0.0004 -0.0008 0.0046 0.0127 -0.0127 -0.2501 1.2456 1.1862 110 100 d 0.1684 0.0003 0.0010 -0.0278 0.0514 -0.1249 1.8863 91-110d 0.1360 -0.0006 -0.0010 -0.0276 0.0447 -0.1310 2.1861 221-260d 0.1254 -0.0003 -0.0011 -0.0238 0.0487 -0.1021 1.9838 110 010 d 0.1414 0.0004 0.0007 0.0324 -0.0127 -0.0487 2.0092 91-110d 0.1320 -0.0006 -0.0007 0.0381 -0.0192 -0.0983 2.1391 221-260d 0.1076 -0.0005 -0.0007 0.0481 -0.0193 -0.2835 2.1262

Table 9

Variance of the difference of estimated 24 h yield from actual 24 h yields for milk, fat, and protein and their accuracies for milking schemes.

 Milk weights Fat, protein Var(dif) Accuracy taken on taken on Milk Fat Prot Milk Fat Prot 111 111 0.000 0.002 0.000 1.00 1.00 1.00 110 0.007 0.001 0.94 0.98 101 0.006 0.001 0.95 0.98 011 0.007 0.001 0.94 0.98 100 0.018 0.002 0.87 0.97 010 0.015 0.001 0.89 0.98 001 0.018 0.001 0.87 0.97 110 110 2.573 0.011 0.003 0.97 0.91 0.95 100 0.021 0.004 0.85 0.94 010 0.020 0.004 0.85 0.94 101 101 2.192 0.008 0.003 0.97 0.94 0.95 100 0.020 0.003 0.85 0.95 001 0.019 0.003 0.86 0.95 011 011 2.223 0.010 0.003 0.97 0.92 0.95 010 0.019 0.003 0.86 0.95 001 0.023 0.003 0.83 0.95 100 100 8.328 0.027 0.008 0.91 0.81 0.88 010 010 8.120 0.026 0.009 0.91 0.82 0.87 001 001 8.357 0.028 0.009 0.91 0.80 0.87

Table 10

Variance of the difference of estimated 24 h yield from actual 24 h yields for fat and protein and their accuracies for milking schemes when considered separately.

 Samples Var(dif) Accuracy Fat Protein Fat Protein 111 0.003 0.000 1.00 1.00 110 0.012 0.003 0.91 0.95 101 0.009 0.003 0.93 0.95 011 0.013 0.003 0.90 0.95 100 0.027 0.009 0.81 0.87 010 0.026 0.009 0.82 0.87 001 0.029 0.009 0.80 0.87

Table 11

Variance of the difference of estimated 24 h yield from actual 24 h yields for milk, fat, and protein and their accuracies for milking schemes using the current official factors.

 Milk weights Fat, protein Var(dif) Accuracy taken on taken on Milk Fat Prot Milk Fat Prot 110 100 3.256 0.028 0.004 0.96 0.80 0.94 010 0.027 0.004 0.81 0.94 101 100 2.510 0.031 0.004 0.97 0.79 0.94 001 0.025 0.003 0.82 0.95 011 010 2.687 0.025 0.004 0.97 0.82 0.94 001 0.027 0.003 0.81 0.95

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Larry Schaeffer
1999-07-05