MATMODEL Sample Files
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
Example of simple AMMI1 data structure. Hugh G. Gauch, Jr. EXAM
Yield Kg/Ha 0 4 GEN 5 ENV 1 REP EGR TRT RAN 0.0 N
314 251 202 180 168
255 240 197 187 181
204 213 173 169 166
167 208 172 176 177
GEN1 GEN2 GEN3 GEN4
ENV1 ENV2 ENV3 ENV4 ENV5
This toy data matrix has a simple structure.
Grand mean: 200
Row deviations: 23 12 -15 -20
Row scores: 7 1 -2 -6
Column deviations: 35 28 -14 -22 -27
Column scores: 8 0 -1 -3 -4
Example: Y(1,1) = 200 + 23 + 35 + (7 x 8) = 314.
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
New York soybean yields, 1977 to 1988, for 1454 observations. NY88
Yield kg/ha 0 7 GEN 55 ENV 4 REP RGE TRT RAN 0.0 F
(4F5.0)
2729 2747 2593 2832 EVAN A77
2662 2238 2454 2528 WILK
2638 2425 2191 2079 CHIP
2680 2072 2994 3218 HODG
2598 3036 3097 2641 S200
2908 3430 3265 2823 CORS
2732 2951 2432 2866 WELL
2753 2948 3218 2732 C77
2628 2747 2747 2839
2154 1719 1307 1757
2146 1839 2203 2483
782 1301 1115 1114
1825 2115 1864 1453
1288 1471 912 1137
1157 1024 2466 V77
1263 891 1123
2081 2200 2440
2599 2254 2473
2699 2074 3337
1948 2958 2719
2480 2972 2327
1461 1965 1490 1613 V78
1265 1476 1263 1377
1087 1496 1389 1341
2320 1927 1459 1663
1937 1497 2162 2520
2230 2363 1565 2335
1354 1691 1295 1924
3502 2687 3046 3274 A79
2714 2861 2289
2547 2353 2590 2473
3237 3268 2790 3516
3618 3061 3367 3683
3386 2422 2823
2648 3034 2654 2817
2874 2807 2658 2759 C79
2578 2471 2619 2571
1677 1725 1787
2020 1648 1999 2109
2199 1636 1296 2266
1734 880 1467 1856
1326 1272 1167 1280
3352 2765 2369 3469 G79
2488 2504 2440 2038
2351 2286 2382
3428 2976 2906 3310
2849 2391
2622 3460
2499 2416
2289 2000 1674 1404 R79
722 1055 1839 813
1841 2104 1576 1749
2955 2625 2203 2198
2103 2024 2165 2131
1009 1991 2155 1917
1894 2126 2223 1995
983 1445 1013 1004 V79
824 491 381 616
1286 1258 1390 1178
1299 1484 1646 1568
2196 2239 1932 1486
2159 2041 1463 981
1529 1767 2079 1472
2884 2660 3020 3098 A80
2547 2685 3130 2771
2856 2706 2449 2309
2640 3202 3485 3495
2977 2357 2366 3104
3242 2469 3523 3164
2290 2634 2023 1930
2464 2332 2991 C80
3231 3205 3305
2090 2472 2282
2568 2615 2945
2159 2123 2231
2166 2384 2230
1069 1295 1935
3867 4641 3041 4061 G80
3258 3592 2958 2960
3144 3589 3565 3204
3478 4261 4389 4241
4217 3517 3702 4112
4083 4141 4788 3993
4035 3382 3147 3501
4020 3395 L80
3985 3653
2688 3299
3974 3488
3595 3886
2673 3648
3628 2804
1728 2072 1866 2073 D80
1806 1701 1483 1326
1429 1488 1747 1671
2759 2615 1829 2279
2259 1766 1798 2170
2627 3013 2816 1990
2199 1117 1385 2848
2566 1841 2193 R80
2100 1810 1698
1879 2547 2180
3095 2874 2942
2568 2077 2736
2430 1981 2565
1920 2446 2189
1833 2014 3078 2419 V80
1810 1699 2128 2442
1498 2040 1807 1871
2376 1884 1658 1944
1685 1709 1188 1821
1898 2264 2595 1898
1830 1484 1740 2076
3059 3317 3214 2545 A81
2613 2744 2664 2404
2627 2652 2731 2535
3042 2755 2701 3555 HODG 78
2877 3218 2421 2798
4868 3085 3017 3487
2861 2921 3257 2785
3023 2956 3098 3144 C81
2937 3001 3094 3170
1937 2051 1966 1431
2664 2341 2414 2677
1754 1780 1379 1707
2021 2829 1409 2470
1972 1804 1618 1441
3553 3387 3694 2661 G81
2619 3007 3520 2415
2955 3351 3265 3273
3728 3546 4165 3915
3089 3642 2839 3961
3753 3844 4289 4221
3188 2991 3783 2966
2755 2852 2965 3310 L81
2922 2862 2409 2654
2697 2600 2673 2585
3167 3132 2977 2742
2449 2639 2520 2671
3209 2389 2710 2957
2728 2524 3144 2716
1950 2870 2642 2642 D81
1646 1997 2016 2333
2809 2148 2395 2968
3553 3321 3358 2845
1463 1954 2919
2479 2966 2212 2467
1637 3400 1983 2255
1525 2348 1968 2309 R81
1484 1426 1091 1545
2597 2686 2198 1920
2404 3028 2742 3028
2798 2500 2520 2650
2170 3125 2825 3750
2903 2944 2428 2757
3103 2871 3206 2912 V81
1825 3595 3272 3807
2308 2525 2265 2452
2685 2455 2404 1921
2498 2141 2230 2580
2664 2549 2346 2279
2457 2603 2286 1697
2127 2380 1938 2285 A82
1545 2051 2112 1770
2007 1877 1888 1765
3038 2190 2122 2413
2396 2644 2281
2689 2276 2726 2556
1946 1958 2446 2605
2591 2732 L82
1682 2237
2401 2663
2863 2728
3342 3145
3088 3204
2825 2646
3160 3589 3966 3897 G82 MT. MORRIS
3102 3354 3566 3159
2489 2894 2786 2738
3584 3836 3632 3797
4488 3017 3897 4204
3671 3786 4309 3905
3452 3496 3195 3134
2146 2997 2130 1812 V82
2077 2092 1895 1579
1295 815 1251
1484 1650 1463 2447
1204 1126 1222 1190
1520 1443 1245 1384
1061 1151 2091 1083
3405 1789 1717 3432 A83
1927 2880 1416 2272
2212 1867 2194 1808
2423 1945 2583 2305
2272 2049 2386 2074
2139 2216 1831 2045
1930 1996 2079 1866
1716 918 885 1602 I83
1084 1050 954 1032
1431 1439 1650 2222
1713 1605 1952 1536
2073 2028 2192 2130
1826 2019 2229 1789
1730 1581 2184 1925
4511 4327 4394 4778 G83
4115 4106 3950 3881
3026 3755 3009 3529
5085 4253 4729 4402
3767 3126 3810 3564
3659 4843 4237 3506
4064 3495 3521 3409
3316 3148 3274 2898 A84
2307 2762 3037 2764
3177 3063 3255 3255
3958 3855 3947 3682
3078 3514 3666 3239
2923 3490 3565 3719
3492 4060 2957 3681 WELL II
2903 3136 2928 3010 N84
2567 2593 2618 2627
2964 2193 2534 2828
3285 3461 3025 3107
3325 3337 3573 3241
3046 3391 2944 3422
2875 2688 2646 2601
3225 3508 3016 2983 C84
2815 2376 2736 2834
2399 2654 2363 2375
2791 3305 3148 2989
2332 2422 2612 2930
3170 2821 2429 2721
2818 2882 2746 2244
2206 2041 2106 1450 I84
1435 1845 2067 1449
2125 1922 2156 2112
2278 2224 2237 2297
2033 2258 2291 1997
2308 2241 2130 2305
1713 1667 2102 2179
4213 3818 G84
3360 3298
3049 3915 3031
3641 4166 4071
4274 3977 4290 4557
3376 4416 4272 4006
3846 3338 3598 3996
1058 1418 1236 838 A85
858 962
1010 867 951
1612 1212 1455
2083 1465 1072
1667 983 837
1213 1090 1043
2404 1997 2196 2279 N85
1814 1287 1521 1529
1748 2275 2296 1827
2122 2727 2105 2326
2620 2258 2548 2498
2593 2313 2662 2504
2484 2922 2168 2128
3127 3398 3022 3304 C85
2905 2882 3097 2734
2798 2468 2610 3023
3092 3048 2841 2786
2834 2933 3238 2377
3541 2792 2957
2777 2006 2482 2479
1783 1957 1609 1593 I85
1902 1534 1416 1574
1717 1405 1591 1637
1707 1955 1825 1870
1419 1404 1414 1262
1814 1967 1615 1797
1378 1656 1508 1593
3194 3085 3489 3263 G85
2619 2839 3263 3121
2742 2560 2742 3207
3561 3208 3213 3709
2760 2911 3569 3589
3039 3250 3275 3207
2285 3119 3305 2992
2989 3640 3105 2922 A86
2652 2366 2835 2570
3317 2334 2815 2794
3764 2862 3276 3727
2900 3298 3188 3367
3639 3647 3613 3677
3715 3641 3353 3650
2826 2560 2812 2965 C86
2420 2359 2434 2309
2105 2134 1970 2145
2489 2432 2143 2461
1645 1500 1860 1617
1905 1840 1713 1900
1763 1943 1639 1973
2996 4038 3561 G86
3759 4261 3035 3799
2234 3174 3161
2846 3507 3490 3010
2040 3405 2963 2916
2515 1873 3066 2236
3701 3307 3342 3222
3025 2642 2239 1934 E86
1990 2010 1741
2587 2711 2412 2415
3056 3070 2979 3172
3191 2964 2411
3054 3393 3079
2457 3289 2875
2040 2546 2550 2358 N86
2520 2658 2128 2571
1476 1796 2873 1925
2504 2715 2308 2110
1711 1675 1517 1593
2100 2035 1866 2118
1383 1999 1703 1718
2636 2347 2872 2383 A87
2069 1758 2122 2225
2580 2454 2316 2424
2803 2839 2188 3827
2923 2680 2762 2786
2856 3192 2544 2496
2609 2885 2709 3136
2574 2312 2495 2793 N87
1989 2394 2138 2617
2602 2322 2443 2752
2892 2368 2941 3122
2219 2674 2786 2655
2840 2467 3067 2438
2726 2363 2580 2484
2961 3354 3470 3307 C87
3348 2909 3169 3139
2206 2313 2357 2429
2484 2467 2302 3041
1267 1220 1257 1207
2177 1324 1998 1363
1504 1630 1577 1932
2962 2303 3150 2347 E87
2572 2075 2104 2727
2374 2718 2748 2532
2795 3022 2946 2693
1717 2128 2753 3219
2843 2342 2578 2615
2809 2507 1680
3104 2854 3063 3175 G87
2963 3467 3081 3167
1964 3285 2866 2440
3342 3413 3307 2598
2848 3367 1876 3018
2081 2343 1513 3591
3750 3403 2605 3027
2720 3290 2947 2538 A88
2611 2720 2104 2292
2604 3143 2712 2679
3157 3148 3205 3069
3334 3711 3455 3666
3211 2623 2791 3029
2924 2551 2991 2833
3442 3742 3283 3666 N88
3010 3170 3063 2914
2892 2877 2363 2922
3880 3684 3529 3451
3395 3176 3391 3611
3450 3624 4208 3718
3558 3659 3315
4370 3726 3818 3780 C88
3852 3605 3532 3461
3185 3300 3042 2861
2824 3361 3362 3111
2022 2920 2353 2633
2770 3503 2666 2350
3192 2783 3005 2626
2843 3186 2888 E88
2779 2567 2781
2570 2171 2737 2330
2807 2691 2894 3008
2733 2467 2022 1752
2339 2527 2073 2815
2996 2772 2405 2829
5437 5165 4273 4750 G88
4687 4650 4749 4347
3085 4372 3492 3090
4275 4632 5522 4578
4615 4756 4243 4392
4777 4941 3790 3328
4447 3509 2750 4053
EVAN WILK CHIP HODG S200 CORS WELL
A77 C77 V77 V78 A79 C79 G79 R79 V79 A80 C80 G80 L80 D80 R80
V80 A81 C81 G81 L81 D81 R81 V81 A82 L82 G82 V82 A83 I83 G83
A84 N84 C84 I84 G84 A85 N85 C85 I85 G85 A86 C86 G86 E86 N86
A87 N87 C87 E87 G87 A88 N88 C88 E88 G88
NY88.DAT: Soybean yields at 13% moisture for 7 genotypes, 55 environments,
and 4 replicates (except only 2 for 20 trials and only 3 for 46 trials).
Of 1540 observations intended, 1454 are present and 86 missing (6%).
This experiment was planted in a RCB randomized complete block design,
but missing observations generated incomplete blocks. Also the four
blocks were several times as long as wide, making each experimental field
approximately square. Also these trials contained many soybean varieties
besides those included here. Consequently these data approximate most
closely a RAN completely randomized experimental design. Accordingly the
replications for each treatment (genotype and environment combination)
have been listed here in a random order.
The 7 soybean genotypes are: Evans, Wilkin, Chippewa 64, Hodgson (Hodgson 78
in and after 1981), Corsoy, SRF 200, and Wells (Wells II in and after 1984).
The 10 New York sites are: A Aurora, C Chazy, D Riverhead, E Etna, G Geneseo
(Mt. Morris in and after 1982), I Ithaca, L Lockport, N Canton, R Romulus,
and V Valatie.
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
MATMODEL Version 2.0: Data Input.
New York soybean yields, 1977 to 1988, for 1454 observations.
Program mode: Fitting AMMI model.
Data file: NY88.DAT
Output file: NY88.LS1
Read data matrix:
New York soybean yields, 1977 to 1988, for 1454 observations. (NY88)
NY88.DAT: Soybean yields at 13% moisture for 7 genotypes, 55 environments,
and 4 replicates (except only 2 for 20 trials and only 3 for 46 trials).
Of 1540 observations intended, 1454 are present and 86 missing (6%).
This experiment was planted in a RCB randomized complete block design,
but missing observations generated incomplete blocks. Also the four
blocks were several times as long as wide, making each experimental field
approximately square. Also these trials contained many soybean varieties
besides those included here. Consequently these data approximate most
closely a RAN completely randomized experimental design. Accordingly the
replications for each treatment (genotype and environment combination)
have been listed here in a random order.
The 7 soybean genotypes are: Evans, Wilkin, Chippewa 64, Hodgson (Hodgson 78
in and after 1981), Corsoy, SRF 200, and Wells (Wells II in and after 1984).
The 10 New York sites are: A Aurora, C Chazy, D Riverhead, E Etna, G Geneseo
(Mt. Morris in and after 1982), I Ithaca, L Lockport, N Canton, R Romulus,
and V Valatie.
Required memory is 4.2% of program specification.
Program memory specification is adequate.
The data matrix, as read, is as follows.
Measurement Yield kg/ha
Number of GEN 7
Number of ENV 55
Number of REP 4
Number of possible observations 1540
Number of actual observations 1454
Missing data 5.58%; these data are unbalanced.
Number of possible TRT 385
Number of actual TRT 385
No missing cells.
The experimental design is RAN, completely randomized.
It may be worthwhile to use other programs to analyze the experimental
design since this program addresses only the treatment design.
Basic ANOVA for the data as read.
-------------------------------------------------------------------------------
Source df SS MS Probability
-------------------------------------------------------------------------------
Total 1453 942147196.36933 648415.13859
TRT 384 826819608.20266 2153176.06303 .00000000 ***
Error 1069 115327588.16667 107883.61849
-------------------------------------------------------------------------------
Grand mean 2602.83700 (Weighted by cell counts of 2 to 4.)
Root Error MS 328.45642
Hereafter these unbalanced data may be approximated as balanced data,
computing the TRT SS as if all of the 385 TRT with any data had the full
REP = 4 observations, but leaving the error df and SS unaltered.
Note that this procedure makes F-tests more significant than they ought to be.
Therefore interpret all following F-tests conservatively, especially if
marginally significant.
The resulting basic ANOVA is as follows.
-------------------------------------------------------------------------------
Source df SS MS Probability
-------------------------------------------------------------------------------
Total 1453 993406456.83622 683693.36327
TRT 384 878078868.66955 2286663.72049 .00000000 ***
Error 1069 115327588.16667 107883.61849
-------------------------------------------------------------------------------
Grand mean 2605.69481 (Not weighted by cell counts.)
Root Error MS 328.45642
The TRT MS contains the Error MS variance component, so the TRT
contain 95.28% pattern related to the treatment design, and
contain 4.72% noise related to the experimental design.
An ideal statistical analysis will recover the pattern in its model,
while relegating the noise to a discarded residual,
in order to increase predictive accuracy.
Discarding a residual SS of 41427309.50047, or 4.72% of this TRT SS,
causes AMMI adjusted means to differ from unadjusted means by a
root mean square of 164.01479, or 6.29% of the unweighted grand mean.
Assuming normality, 5% of these adjustments exceed this RMS
by a factor of 1.960, 1% by 2.576, and 0.1% by 3.291.
MATMODEL Version 2.0: GEN Means for Model AMMI1.
New York soybean yields, 1977 to 1988, for 1454 observations.
---------------------------------------------------------------------------
GEN Name Mean Count | Index Name Mean Count
---------------------------------------------------------------------------
1 EVAN 2779.46667 55 | 4 HODG 2861.33788 55
2 WILK 2451.07576 55 | 1 EVAN 2779.46667 55
3 CHIP 2368.85000 55 | 6 CORS 2706.31970 55
4 HODG 2861.33788 55 | 5 S200 2594.36061 55
5 S200 2594.36061 55 | 7 WELL 2478.45303 55
6 CORS 2706.31970 55 | 2 WILK 2451.07576 55
7 WELL 2478.45303 55 | 3 CHIP 2368.85000 55
---------------------------------------------------------------------------
Grand mean 2605.69481 Yield kg/ha
MATMODEL Version 2.0: ENV Means for Model AMMI1.
New York soybean yields, 1977 to 1988, for 1454 observations.
---------------------------------------------------------------------------
ENV Name Mean Count | Index Name Mean Count
---------------------------------------------------------------------------
1 A77 2709.25000 7 | 55 G88 4310.89286 7
2 C77 1949.89286 7 | 30 G83 3958.96429 7
3 V77 2165.95238 7 | 35 G84 3803.14286 7
4 V78 1695.17857 7 | 12 G80 3745.25000 7
5 A79 2934.22619 7 | 26 G82 3503.67857 7
6 C79 1943.23810 7 | 13 L80 3481.14286 7
7 G79 2709.91667 7 | 19 G81 3415.00000 7
8 R79 1885.00000 7 | 52 N88 3375.13095 7
9 V79 1400.35714 7 | 31 A84 3324.35714 7
10 A80 2786.28571 7 | 41 A86 3202.00000 7
11 C80 2385.33333 7 | 53 C88 3143.32143 7
12 G80 3745.25000 7 | 43 G86 3137.32143 7
13 L80 3481.14286 7 | 40 G85 3111.28571 7
14 D80 1995.00000 7 | 32 N84 2959.57143 7
15 R80 2316.04762 7 | 17 A81 2955.46429 7
16 V80 1953.17857 7 | 5 A79 2934.22619 7
17 A81 2955.46429 7 | 51 A88 2930.64286 7
18 C81 2288.85714 7 | 50 G87 2911.10714 7
19 G81 3415.00000 7 | 38 C85 2880.27381 7
20 L81 2784.21429 7 | 10 A80 2786.28571 7
21 D81 2476.42857 7 | 20 L81 2784.21429 7
22 R81 2416.75000 7 | 33 C84 2773.00000 7
23 V81 2569.14286 7 | 25 L82 2724.78571 7
24 A82 2231.11905 7 | 7 G79 2709.91667 7
25 L82 2724.78571 7 | 1 A77 2709.25000 7
26 G82 3503.67857 7 | 44 E86 2696.92857 7
27 V82 1570.47619 7 | 54 E88 2630.83333 7
28 A83 2180.64286 7 | 46 A87 2622.17857 7
29 I83 1660.53571 7 | 47 N87 2573.32143 7
30 G83 3958.96429 7 | 23 V81 2569.14286 7
31 A84 3324.35714 7 | 49 E87 2556.82143 7
32 N84 2959.57143 7 | 21 D81 2476.42857 7
33 C84 2773.00000 7 | 22 R81 2416.75000 7
34 I84 2041.92857 7 | 11 C80 2385.33333 7
35 G84 3803.14286 7 | 15 R80 2316.04762 7
36 A85 1176.30952 7 | 18 C81 2288.85714 7
37 N85 2219.67857 7 | 48 C87 2275.42857 7
38 C85 2880.27381 7 | 24 A82 2231.11905 7
39 I85 1639.35714 7 | 37 N85 2219.67857 7
40 G85 3111.28571 7 | 28 A83 2180.64286 7
41 A86 3202.00000 7 | 3 V77 2165.95238 7
42 C86 2137.92857 7 | 42 C86 2137.92857 7
43 G86 3137.32143 7 | 45 N86 2089.14286 7
44 E86 2696.92857 7 | 34 I84 2041.92857 7
45 N86 2089.14286 7 | 14 D80 1995.00000 7
46 A87 2622.17857 7 | 16 V80 1953.17857 7
47 N87 2573.32143 7 | 2 C77 1949.89286 7
48 C87 2275.42857 7 | 6 C79 1943.23810 7
49 E87 2556.82143 7 | 8 R79 1885.00000 7
50 G87 2911.10714 7 | 4 V78 1695.17857 7
51 A88 2930.64286 7 | 29 I83 1660.53571 7
52 N88 3375.13095 7 | 39 I85 1639.35714 7
53 C88 3143.32143 7 | 27 V82 1570.47619 7
54 E88 2630.83333 7 | 9 V79 1400.35714 7
55 G88 4310.89286 7 | 36 A85 1176.30952 7
---------------------------------------------------------------------------
Grand mean 2605.69481 Yield kg/ha
MATMODEL Version 2.0: GEN IPCA Axis 1 Scores for Model AMMI1.
New York soybean yields, 1977 to 1988, for 1454 observations.
-------------------------------------------------------------------
GEN Name Score | Index Name Score
-------------------------------------------------------------------
1 EVAN 31.9306586 | 2 WILK 48.0092905
2 WILK 48.0092905 | 1 EVAN 31.9306586
3 CHIP -1.3891256 | 3 CHIP -1.3891256
4 HODG -2.7149887 | 4 HODG -2.7149887
5 S200 -30.1417294 | 7 WELL -22.4471340
6 CORS -23.2469714 | 6 CORS -23.2469714
7 WELL -22.4471340 | 5 S200 -30.1417294
-------------------------------------------------------------------
MATMODEL Version 2.0: ENV IPCA Axis 1 Scores for Model AMMI1.
New York soybean yields, 1977 to 1988, for 1454 observations.
-------------------------------------------------------------------
ENV Name Score | Index Name Score
-------------------------------------------------------------------
1 A77 -4.3901149 | 48 C87 24.9714431
2 C77 21.9423292 | 2 C77 21.9423292
3 V77 -19.9056967 | 18 C81 18.3484088
4 V78 -6.5129927 | 6 C79 16.3864593
5 A79 -3.4038378 | 53 C88 15.4447401
6 C79 16.3864593 | 11 C80 15.0344845
7 G79 -1.1669913 | 43 G86 11.7145679
8 R79 -8.8437641 | 42 C86 11.6676240
9 V79 -14.6494254 | 27 V82 11.5088544
10 A80 2.3696215 | 23 V81 11.1712860
11 C80 15.0344845 | 45 N86 9.8473849
12 G80 -5.9552196 | 55 G88 8.5403631
13 L80 5.7534734 | 30 G83 7.0782793
14 D80 -6.2373014 | 13 L80 5.7534734
15 R80 -5.1095739 | 54 E88 5.5142017
16 V80 5.0190124 | 50 G87 5.2609473
17 A81 -4.5583748 | 16 V80 5.0190124
18 C81 18.3484088 | 38 C85 3.6317775
19 G81 -6.9484371 | 28 A83 3.5261123
20 L81 1.7616847 | 33 C84 3.4325543
21 D81 -1.7111791 | 10 A80 2.3696215
22 R81 -16.5776520 | 20 L81 1.7616847
23 V81 11.1712860 | 39 I85 1.7128738
24 A82 -6.0120948 | 49 E87 .5739699
25 L82 -11.9117163 | 40 G85 -.4204517
26 G82 -3.9385949 | 7 G79 -1.1669913
27 V82 11.5088544 | 21 D81 -1.7111791
28 A83 3.5261123 | 47 N87 -3.1419108
29 I83 -12.4956616 | 5 A79 -3.4038378
30 G83 7.0782793 | 26 G82 -3.9385949
31 A84 -8.1592072 | 52 N88 -4.1344965
32 N84 -5.1335820 | 36 A85 -4.2118867
33 C84 3.4325543 | 1 A77 -4.3901149
34 I84 -4.4706401 | 34 I84 -4.4706401
35 G84 -5.8871128 | 17 A81 -4.5583748
36 A85 -4.2118867 | 15 R80 -5.1095739
37 N85 -9.6147995 | 32 N84 -5.1335820
38 C85 3.6317775 | 35 G84 -5.8871128
39 I85 1.7128738 | 12 G80 -5.9552196
40 G85 -.4204517 | 24 A82 -6.0120948
41 A86 -8.8984222 | 14 D80 -6.2373014
42 C86 11.6676240 | 4 V78 -6.5129927
43 G86 11.7145679 | 19 G81 -6.9484371
44 E86 -12.1878839 | 51 A88 -7.6424177
45 N86 9.8473849 | 46 A87 -7.9810140
46 A87 -7.9810140 | 31 A84 -8.1592072
47 N87 -3.1419108 | 8 R79 -8.8437641
48 C87 24.9714431 | 41 A86 -8.8984222
49 E87 .5739699 | 37 N85 -9.6147995
50 G87 5.2609473 | 25 L82 -11.9117163
51 A88 -7.6424177 | 44 E86 -12.1878839
52 N88 -4.1344965 | 29 I83 -12.4956616
53 C88 15.4447401 | 9 V79 -14.6494254
54 E88 5.5142017 | 22 R81 -16.5776520
55 G88 8.5403631 | 3 V77 -19.9056967
-------------------------------------------------------------------
MATMODEL Version 2.0: ANOVA Table for Model AMMI1.
New York soybean yields, 1977 to 1988, for 1454 observations.
-------------------------------------------------------------------------------
Source df SS MS Probability
-------------------------------------------------------------------------------
Total 1453 993406456.83622 683693.36327
TRT 384 878078868.66955 2286663.72049 .0000000 ***
GEN 6 44439308.04329 7406551.34055 .0000000 ***
ENV 54 672971053.86797 12462426.92348 .0000000 ***
G X E 324 160668506.75830 495890.45296 .0000000 ***
IPCA 1 59 111791675.25186 1894774.15681 .0000000 ***
Residual 265 48876831.50644 184440.87361 .0000000 ***
Error 1069 115327588.16667 107883.61849
-------------------------------------------------------------------------------
Grand mean 2605.69481 Yield kg/ha
There are no missing cells.
MATMODEL Version 2.0: Graph of Means and IPCA Axis 1.
New York soybean yields, 1977 to 1988, for 1454 observations.
The abscissa (X-axis) plots means from 1176.30952 to 4310.89286.
The ordinate (Y-axis) plots IPCA1 from -30.14173 to 48.00929.
Means are in units of Yield kg/ha and IPCA1 the square root of this.
The points are G or E or * for GEN or ENV or multiple, and + for centroid.
This graph accounts for 94.43% of the TRT sum of squares.
The root mean square residual for the AMMI1 model is 178.15219.
---------------------------------------------------------------------------
| G | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | G |
| | |
| | |
| | |
| E | |
| | |
| E | |
| | |
| E | |
| | |
| E | E |
| E | |
| | |
| E E E| E |
| E | |
| | E|
| | E |
| E E E E |
| E | E E |
| E | * |
|---------------------------------E+-----------E----------------------------|
| G E | E |
| E| G E |
|E E E | E E E E |
| E E E | E EE |
| E E E E |
| E E | E |
| | |
| E | EE |
| | |
| E | |
| E | |
| | |
| E | |
| | |
| G | G |
| | |
| | |
| | |
| G| |
---------------------------------------------------------------------------
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
MATMODEL Version 2.0: Data Input.
Validating mode default analysis for soybean data and file NY88.VL2.
Program mode: Validating AMMI model.
Data file: NY88.DAT
Validation file: NY88.VL2
Output file: NY88.LS2
Read data matrix:
New York soybean yields, 1977 to 1988, for 1454 observations. (NY88)
NY88.DAT: Soybean yields at 13% moisture for 7 genotypes, 55 environments,
and 4 replicates (except only 2 for 20 trials and only 3 for 46 trials).
Of 1540 observations intended, 1454 are present and 86 missing (6%).
This experiment was planted in a RCB randomized complete block design,
but missing observations generated incomplete blocks. Also the four
blocks were several times as long as wide, making each experimental field
approximately square. Also these trials contained many soybean varieties
besides those included here. Consequently these data approximate most
closely a RAN completely randomized experimental design. Accordingly the
replications for each treatment (genotype and environment combination)
have been listed here in a random order.
The 7 soybean genotypes are: Evans, Wilkin, Chippewa 64, Hodgson (Hodgson 78
in and after 1981), Corsoy, SRF 200, and Wells (Wells II in and after 1984).
The 10 New York sites are: A Aurora, C Chazy, D Riverhead, E Etna, G Geneseo
(Mt. Morris in and after 1982), I Ithaca, L Lockport, N Canton, R Romulus,
and V Valatie.
Required memory is 4.6% of program specification.
Program memory specification is adequate.
MATMODEL Version 2.0: Prediction Statistics.
Validating mode default analysis for soybean data and file NY88.VL2.
The root mean square prediction differences in units of Yield kg/ha
are based upon 1 runs having 319 validations with actual TRT data,
0 validations with imputed data, and 319 validations total.
-------------------------------------------------------------
Model Actual Imputed Total
-------------------------------------------------------------
AMMI0 422.00506 .00000 422.00506
AMMI1 334.78118 * .00000 334.78118
AMMI2 359.61042 .00000 359.61042
AMMI3 356.98093 .00000 356.98093
AMMI4 368.80364 .00000 368.80364
AMMI5 370.75810 .00000 370.75810
DATA 381.83900
-------------------------------------------------------------
The unweighted grand mean with all actual data is 2605.69481.
For comparison, with 1069 df the root EMS is 328.45642.
For 3 replications, the standard error is 189.63440.
Consequently the expected RMSPD for DATA is 379.26880,
which is .67% less than the empirical value 381.83900.
Model AMMI1 has the smallest actual RMSPD of 334.78118,
based upon 319 validations with the 385 TRT having actual data.
From statistical reasoning, the root mean square prediction error
between AMMI1 predictions and the true TRT means is 64.76742,
which is 2.49% of the unweighted grand mean.
The same standard error requires TRT means based upon 25.72 replications.
Accordingly the AMMI gain factor is 8.57.
Given 3 replications this amounts to 22.72 free replications.
Given 385 TRT this amounts to 8746 free observations.
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
MATMODEL Version 2.0: Data Input.
Validating mode default analysis for soybean data and file NY88.VL3.
Program mode: Validating AMMI model.
Data file: NY88.DAT
Validation file: NY88.VL3
Output file: NY88.LS3
Read data matrix:
New York soybean yields, 1977 to 1988, for 1454 observations. (NY88)
NY88.DAT: Soybean yields at 13% moisture for 7 genotypes, 55 environments,
and 4 replicates (except only 2 for 20 trials and only 3 for 46 trials).
Of 1540 observations intended, 1454 are present and 86 missing (6%).
This experiment was planted in a RCB randomized complete block design,
but missing observations generated incomplete blocks. Also the four
blocks were several times as long as wide, making each experimental field
approximately square. Also these trials contained many soybean varieties
besides those included here. Consequently these data approximate most
closely a RAN completely randomized experimental design. Accordingly the
replications for each treatment (genotype and environment combination)
have been listed here in a random order.
The 7 soybean genotypes are: Evans, Wilkin, Chippewa 64, Hodgson (Hodgson 78
in and after 1981), Corsoy, SRF 200, and Wells (Wells II in and after 1984).
The 10 New York sites are: A Aurora, C Chazy, D Riverhead, E Etna, G Geneseo
(Mt. Morris in and after 1982), I Ithaca, L Lockport, N Canton, R Romulus,
and V Valatie.
Required memory is 4.6% of program specification.
Program memory specification is adequate.
MATMODEL Version 2.0: Prediction Statistics.
Validating mode default analysis for soybean data and file NY88.VL3.
The root mean square prediction differences in units of Yield kg/ha
are based upon 20 runs having 6380 validations with actual TRT data,
0 validations with imputed data, and 6380 validations total.
-------------------------------------------------------------
Model Actual Imputed Total
-------------------------------------------------------------
AMMI0 434.70374 .00000 434.70374
AMMI1 357.78467 * .00000 357.78467
AMMI2 363.09164 .00000 363.09164
AMMI3 359.06793 .00000 359.06793
AMMI4 365.52881 .00000 365.52881
AMMI5 366.91902 .00000 366.91902
DATA 372.85050
-------------------------------------------------------------
The unweighted grand mean with all actual data is 2605.69481.
For comparison, with 1069 df the root EMS is 328.45642.
For 3 replications, the standard error is 189.63440.
Consequently the expected RMSPD for DATA is 379.26880,
which is 1.72% more than the empirical value 372.85050.
Model AMMI1 has the smallest actual RMSPD of 357.78467,
based upon 6380 validations with the 385 TRT having actual data.
From statistical reasoning, the root mean square prediction error
between AMMI1 predictions and the true TRT means is 141.86703,
which is 5.44% of the unweighted grand mean.
The same standard error requires TRT means based upon 5.36 replications.
Accordingly the AMMI gain factor is 1.79.
Given 3 replications this amounts to 2.36 free replications.
Given 385 TRT this amounts to 908 free observations.
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
MATMODEL Version 2.0: Data Input.
Validating mode indirect information default analysis for soybean data.
Program mode: Validating for indirect information.
Data file: NY88.DAT
Validation file: NY88.VL4
Output file: NY88.LS4
Read data matrix:
New York soybean yields, 1977 to 1988, for 1454 observations. (NY88)
NY88.DAT: Soybean yields at 13% moisture for 7 genotypes, 55 environments,
and 4 replicates (except only 2 for 20 trials and only 3 for 46 trials).
Of 1540 observations intended, 1454 are present and 86 missing (6%).
This experiment was planted in a RCB randomized complete block design,
but missing observations generated incomplete blocks. Also the four
blocks were several times as long as wide, making each experimental field
approximately square. Also these trials contained many soybean varieties
besides those included here. Consequently these data approximate most
closely a RAN completely randomized experimental design. Accordingly the
replications for each treatment (genotype and environment combination)
have been listed here in a random order.
The 7 soybean genotypes are: Evans, Wilkin, Chippewa 64, Hodgson (Hodgson 78
in and after 1981), Corsoy, SRF 200, and Wells (Wells II in and after 1984).
The 10 New York sites are: A Aurora, C Chazy, D Riverhead, E Etna, G Geneseo
(Mt. Morris in and after 1982), I Ithaca, L Lockport, N Canton, R Romulus,
and V Valatie.
Required memory is 4.2% of program specification.
Program memory specification is adequate.
The data matrix, as read, is as follows.
Measurement Yield kg/ha
Number of GEN 7
Number of ENV 55
Number of REP 4
Number of possible observations 1540
Number of actual observations 1454
Missing data 5.58%; these data are unbalanced.
Number of possible TRT 385
Number of actual TRT 385
No missing cells.
The experimental design is RAN, completely randomized.
It may be worthwhile to use other programs to analyze the experimental
design since this program addresses only the treatment design.
Basic ANOVA for the data as read.
-------------------------------------------------------------------------------
Source df SS MS Probability
-------------------------------------------------------------------------------
Total 1453 942147196.36933 648415.13859
TRT 384 826819608.20266 2153176.06303 .00000000 ***
Error 1069 115327588.16667 107883.61849
-------------------------------------------------------------------------------
Grand mean 2602.83700 (Weighted by cell counts of 2 to 4.)
Root Error MS 328.45642
Hereafter these unbalanced data may be approximated as balanced data,
computing the TRT SS as if all of the 385 TRT with any data had the full
REP = 4 observations, but leaving the error df and SS unaltered.
Note that this procedure makes F-tests more significant than they ought to be.
Therefore interpret all following F-tests conservatively, especially if
marginally significant.
The resulting basic ANOVA is as follows.
-------------------------------------------------------------------------------
Source df SS MS Probability
-------------------------------------------------------------------------------
Total 1453 993406456.83622 683693.36327
TRT 384 878078868.66955 2286663.72049 .00000000 ***
Error 1069 115327588.16667 107883.61849
-------------------------------------------------------------------------------
Grand mean 2605.69481 (Not weighted by cell counts.)
Root Error MS 328.45642
The TRT MS contains the Error MS variance component, so the TRT
contain 95.28% pattern related to the treatment design, and
contain 4.72% noise related to the experimental design.
An ideal statistical analysis will recover the pattern in its model,
while relegating the noise to a discarded residual,
in order to increase predictive accuracy.
Discarding a residual SS of 41427309.50047, or 4.72% of this TRT SS,
causes AMMI adjusted means to differ from unadjusted means by a
root mean square of 164.01479, or 6.29% of the unweighted grand mean.
Assuming normality, 5% of these adjustments exceed this RMS
by a factor of 1.960, 1% by 2.576, and 0.1% by 3.291.
MATMODEL Version 2.0: Indirect Information.
Validating mode indirect information default analysis for soybean data.
-------------------------------------------------------------------------------
N ENV GEN Count Impute AMMI1 DATA
-------------------------------------------------------------------------------
1 1 1 4 2784.6840702 2742.8426020 2725.2500000
2 1 2 4 2355.4262811 2343.8646520 2470.5000000
3 1 3 4 2506.6040456 2478.5036156 2333.2500000
4 1 4 4 3022.7368151 2976.8121859 2741.0000000
5 1 5 4 2796.4013040 2830.2414555 2843.0000000
6 1 6 4 2833.7993517 2911.9317670 3106.5000000
7 1 7 4 2647.7706320 2680.5537221 2745.2500000
8 2 1 4 2578.3342390 2824.2977401 2912.7500000
9 2 2 4 2343.7058307 2848.7094635 2740.2500000
10 2 3 4 1670.1295731 1682.5674019 1734.2500000
11 2 4 4 2146.1981063 2145.9627548 2167.7500000
12 2 5 4 1552.0059678 1277.1789107 1078.0000000
13 2 6 4 1532.6645254 1540.4250497 1814.2500000
14 2 7 4 1479.0966063 1330.1086793 1202.0000000
15 3 1 3 1957.7198801 1704.1222354 1549.0000000
16 3 2 3 1565.7821825 1055.6749567 1092.3333333
17 3 3 3 1872.4037031 1956.7590877 2240.3333333
18 3 4 3 2480.1047323 2475.6391965 2442.0000000
19 3 5 3 2623.0855677 2754.6103059 2703.3333333
20 3 6 3 2715.4047798 2729.3244362 2541.6666667
21 3 7 3 2361.9875568 2485.5364482 2593.0000000
22 4 1 4 1724.7777834 1660.9862867 1632.2500000
23 4 2 4 1304.4874833 1227.8753658 1345.2500000
24 4 3 4 1495.0411738 1467.3811308 1328.2500000
25 4 4 4 1993.6366801 1968.5043467 1842.2500000
26 4 5 4 1772.6308983 1880.1572354 2029.0000000
27 4 6 4 1867.8768160 1947.2108183 2123.2500000
28 4 7 4 1745.1099096 1714.1348163 1566.0000000
29 5 1 4 2965.4924882 2999.3112698 3127.2500000
30 5 2 3 2704.3037087 2616.1913062 2621.3333333
31 5 3 4 2742.6212208 2702.1097433 2490.7500000
32 5 4 4 3198.3669574 3199.1106452 3202.7500000
33 5 5 4 2827.3253789 3025.4895486 3432.2500000
34 5 6 3 3183.6136896 3113.9800019 2877.0000000
35 5 7 4 2905.3722489 2883.3908184 2788.2500000
36 6 1 4 2435.9682669 2640.2403930 2774.5000000
37 6 2 4 2141.2241957 2575.3213296 2559.7500000
38 6 3 3 1673.3234917 1683.6304408 1729.6666667
39 6 4 4 2211.0799974 2154.3921169 1944.0000000
40 6 5 4 1367.2901091 1437.9876759 1849.2500000
41 6 6 4 1793.8297840 1662.9274368 1484.2500000
42 6 7 4 1575.3564649 1448.1672736 1261.2500000
43 7 1 4 2788.9431286 2846.4257275 2988.7500000
44 7 2 4 2641.9267978 2499.2711949 2367.5000000
45 7 3 3 2500.2299933 2474.6929589 2339.6666667
46 7 4 4 2933.2337348 2968.7281085 3155.0000000
47 7 5 2 2775.8280592 2733.7576034 2620.0000000
48 7 6 2 2766.5724992 2837.6705718 3041.0000000
49 7 7 2 2654.8186794 2608.8705018 2457.5000000
50 8 1 4 1815.3761130 1776.3846505 1841.7500000
51 8 2 4 1714.4073700 1305.7981150 1107.2500000
52 8 3 4 1627.4756757 1660.4402934 1817.5000000
53 8 4 4 2095.1152192 2164.6537932 2495.2500000
54 8 5 4 2096.3015817 2140.2321437 2105.7500000
55 8 6 4 2310.0403994 2191.2156222 1768.0000000
56 8 7 4 1895.8524336 1956.2753820 2059.5000000
57 9 1 4 1225.1607211 1106.3632040 1111.2500000
58 9 2 4 908.3577199 542.4295775 578.0000000
59 9 3 4 1159.9345759 1183.8622288 1278.0000000
60 9 4 4 1741.4468353 1695.7732410 1499.2500000
61 9 5 4 1666.0954042 1830.5819587 1963.2500000
62 9 6 4 1853.4340438 1841.5368078 1661.0000000
63 9 7 4 1513.0778924 1601.9529823 1711.7500000
64 10 1 4 3073.8369396 3035.7211514 2915.5000000
65 10 2 4 2649.0773970 2745.4305142 2783.2500000
66 10 3 4 2539.7166334 2546.1492073 2580.0000000
67 10 4 4 3002.9323369 3035.4952922 3205.5000000
68 10 5 4 2719.8592372 2703.5270248 2701.0000000
69 10 6 4 2749.1396667 2831.8240824 3099.5000000
70 10 7 4 2736.8769616 2605.8527277 2219.2500000
71 11 1 3 3129.6367334 3039.1661859 2595.6666667
72 11 2 3 2289.7829177 2952.5092178 3247.0000000
73 11 3 3 2090.9633922 2127.6037416 2281.3333333
74 11 4 3 2575.5836955 2600.1579513 2709.3333333
75 11 5 3 1914.6094468 1920.8337719 2171.0000000
76 11 6 3 2147.9197221 2136.4519940 2260.0000000
77 11 7 3 2144.3852725 1920.6104708 1433.0000000
78 12 1 4 3693.3447247 3728.8677770 3902.5000000
79 12 2 4 3560.9518318 3304.7250841 3192.0000000
80 12 3 4 3544.5214774 3516.6777425 3375.5000000
81 12 4 4 4001.9466443 4017.0614276 4092.2500000
82 12 5 4 3886.2254944 3913.4164188 3887.0000000
83 12 6 4 3876.4229439 3984.3157120 4251.2500000
84 12 7 4 3813.0085958 3751.6858378 3516.2500000
85 13 1 2 3855.7003915 3838.6269121 3707.5000000
86 13 2 2 3262.8826195 3602.7439829 3819.0000000
87 13 3 2 3284.2038350 3236.3057551 2993.5000000
88 13 4 2 3719.3641249 3721.1653155 3731.0000000
89 13 5 2 3138.7346818 3296.3890212 3740.5000000
90 13 6 2 3562.4780821 3448.0169182 3160.5000000
91 13 7 2 3243.4592284 3224.7520949 3216.0000000
92 14 1 4 2034.3021989 1969.6107213 1934.7500000
93 14 2 4 1677.7699999 1540.9325401 1579.0000000
94 14 3 4 1803.0996249 1766.8195895 1583.7500000
95 14 4 4 2246.8425040 2267.5772764 2370.5000000
96 14 5 4 2207.2359224 2171.6688502 1998.2500000
97 14 6 4 2097.0357610 2240.6232582 2611.5000000
98 14 7 4 2030.3888276 2007.7677644 1887.2500000
99 15 1 3 2425.3513202 2326.6674202 2200.0000000
100 15 2 3 2094.1686594 1916.1215531 1869.3333333
101 15 3 3 2063.6555552 2086.3006535 2202.0000000
102 15 4 3 2509.9329230 2585.5631281 2970.3333333
103 15 5 3 2424.8802222 2458.7248141 2460.3333333
104 15 6 3 2591.2111414 2535.4546297 2325.3333333
105 15 7 3 2328.5676872 2303.5011345 2185.0000000
106 16 1 4 2225.8231300 2287.2108044 2336.0000000
107 16 2 4 1920.6626159 2039.5187479 2019.7500000
108 16 3 4 1690.9385892 1709.3617279 1804.0000000
109 16 4 4 2240.3633344 2195.1950830 1965.5000000
110 16 5 4 1905.6924869 1790.5626589 1600.7500000
111 16 6 4 1875.5899931 1937.1266253 2163.7500000
112 16 7 4 1704.1281576 1713.2743527 1782.5000000
113 17 1 4 2995.3643910 2983.6842368 3033.7500000
114 17 2 4 2685.4185237 2582.0008971 2606.2500000
115 17 3 4 2742.1287297 2724.9516355 2636.2500000
116 17 4 4 3264.4925537 3223.4832955 3013.2500000
117 17 5 4 3162.9876829 3081.5273870 2828.5000000
118 17 6 4 2997.6345022 3162.0575869 3614.2500000
119 17 7 4 2909.9443939 2930.5449614 2956.0000000
120 18 1 4 2886.0968898 3048.5057834 3055.2500000
121 18 2 4 2488.8610881 3015.1321852 3050.5000000
122 18 3 4 2077.9112458 2026.5240941 1846.2500000
123 18 4 4 2490.7735659 2494.6844936 2524.0000000
124 18 5 4 1895.9904547 1724.4701698 1655.0000000
125 18 6 4 1955.0260088 1962.9370982 2182.2500000
126 18 7 4 1836.4795530 1749.7461758 1708.7500000
127 19 1 4 3441.2808951 3366.9036901 3323.7500000
128 19 2 4 3146.2561866 2926.7914197 2890.2500000
129 19 3 4 3183.0299993 3187.8074463 3211.0000000
130 19 4 4 3659.1780284 3689.5080018 3838.5000000
131 19 5 4 3669.0920947 3613.1037101 3382.7500000
132 19 6 4 3537.7653331 3677.1550095 4026.7500000
133 19 7 4 3494.6524435 3443.7307227 3232.0000000
134 20 1 4 3021.2270675 3014.2379007 2970.5000000
135 20 2 4 2668.8323716 2714.1724718 2711.7500000
136 20 3 4 2527.1383571 2544.9222793 2638.7500000
137 20 4 4 3040.9242953 3035.0744052 3004.5000000
138 20 5 4 2796.0693498 2719.7798624 2569.7500000
139 20 6 4 2858.1885916 2843.8853430 2816.2500000
140 20 7 4 2570.0838828 2617.4277377 2778.0000000
141 21 1 4 2641.6883603 2595.5613568 2526.0000000
142 21 2 4 2492.9686542 2239.6570288 1998.0000000
143 21 3 4 2177.9074175 2241.9608089 2580.0000000
144 21 4 4 2635.0968767 2736.7174770 3269.2500000
145 21 5 3 2682.8507560 2516.6722700 2112.0000000
146 21 6 4 2640.6787566 2616.8331952 2531.0000000
147 21 7 4 2405.5329223 2387.5978634 2318.7500000
148 22 1 4 2213.1643756 2061.1865141 2037.5000000
149 22 2 4 1982.4330475 1466.2496412 1386.5000000
150 22 3 4 2163.3921426 2202.9336348 2350.2500000
151 22 4 4 2692.9749465 2717.4012117 2800.5000000
152 22 5 4 2916.8838387 2905.0949018 2617.0000000
153 22 6 4 2813.0812453 2902.7550949 2967.5000000
154 22 7 4 2566.0840760 2661.6290015 2758.0000000
155 23 1 4 3046.5573187 3099.6212395 3023.0000000
156 23 2 4 2501.4985822 2950.8493261 3124.7500000
157 23 3 4 2301.6814058 2316.7797331 2387.5000000
158 23 4 4 2889.5617195 2794.4560152 2366.2500000
159 23 5 4 2234.1437580 2221.0867773 2362.2500000
160 23 6 4 2430.4111803 2410.0691813 2459.5000000
161 23 7 4 2201.6240317 2191.1377274 2260.7500000
162 24 1 4 2273.3030860 2212.9207633 2182.5000000
163 24 2 4 1880.7186162 1787.8635957 1869.5000000
164 24 3 4 2025.9778444 2002.6257969 1884.2500000
165 24 4 4 2515.3285518 2503.0848907 2440.7500000
166 24 5 3 2344.9020486 2400.9997821 2440.3333333
167 24 6 4 2422.9581688 2471.5069349 2561.7500000
168 24 7 4 2222.5037475 2238.8315697 2238.7500000
169 25 1 2 2545.5445307 2518.2086296 2661.5000000
170 25 2 2 2352.5714928 1998.2936197 1959.5000000
171 25 3 2 2497.7316390 2504.4877785 2532.0000000
172 25 4 2 3060.5638002 3012.7689631 2795.5000000
173 25 5 2 2914.6046438 3072.4912438 3243.5000000
174 25 6 2 3046.0421975 3102.3219343 3146.0000000
175 25 7 2 2872.4069277 2864.9278310 2735.5000000
176 26 1 4 3534.4880695 3551.6885039 3653.0000000
177 26 2 4 3152.3262149 3159.9703775 3295.2500000
178 26 3 4 3377.4563925 3272.3049690 2726.7500000
179 26 4 4 3781.1675387 3770.0148857 3712.2500000
180 26 5 4 3458.3959011 3611.0604337 3901.5000000
181 26 6 4 3609.4670281 3695.8638662 3917.7500000
182 26 7 4 3501.9729617 3464.8469639 3319.2500000
183 27 1 4 1944.3002374 2111.7333524 2271.2500000
184 27 2 4 1706.5366617 1968.3890761 1910.7500000
185 27 3 3 1361.9543192 1317.6441416 1120.3333333
186 27 4 4 1803.4532430 1794.8728543 1761.0000000
187 27 5 4 1302.7371541 1212.2452170 1185.5000000
188 27 6 4 1444.5168974 1403.5550730 1398.0000000
189 27 7 4 1164.8171635 1184.8936189 1346.5000000
190 28 1 4 2384.8603795 2467.0058067 2585.7500000
191 28 2 4 2160.6954815 2195.3099592 2123.7500000
192 28 3 4 1923.3032644 1938.8998393 2020.2500000
193 28 4 4 2448.5322629 2426.7125756 2314.0000000
194 28 5 4 2027.9901139 2063.0255353 2195.2500000
195 28 6 4 2256.8958773 2199.2963170 2057.7500000
196 28 7 4 1985.6576411 1974.2499669 1967.7500000
197 29 1 4 1610.2011363 1435.3128709 1280.2500000
198 29 2 4 1139.3089421 906.0088191 1030.0000000
199 29 3 4 1384.6978411 1441.0489519 1685.5000000
200 29 4 4 2005.6636496 1950.1043681 1701.5000000
201 29 5 4 1903.3969029 2025.8423656 2105.7500000
202 29 6 4 2038.7620279 2051.6468945 1965.7500000
203 29 7 4 1759.6023850 1813.7857299 1855.0000000
204 30 1 4 4235.4862418 4358.7502673 4502.5000000
205 30 2 4 4062.6775839 4144.1684054 4013.0000000
206 30 3 4 3789.3397635 3712.2868619 3329.7500000
207 30 4 4 4110.0879683 4195.3899109 4617.2500000
208 30 5 4 3854.8647661 3734.2785072 3566.7500000
209 30 6 4 3860.0557430 3895.0406206 4061.2500000
210 30 7 4 3709.5632222 3672.8354267 3622.2500000
211 31 1 4 3338.4043429 3237.6001456 3159.0000000
212 31 2 4 3049.8877924 2778.0203482 2717.5000000
213 31 3 4 3080.4397082 3098.8465008 3187.5000000
214 31 4 4 3548.4997178 3602.1523718 3860.5000000
215 31 5 4 3586.6844528 3558.9555582 3374.2500000
216 31 6 4 3654.5412083 3614.6588907 3424.2500000
217 31 7 4 3301.4672786 3380.2661847 3547.5000000
218 32 1 4 2997.2577465 2969.4246364 2994.2500000
219 32 2 4 2660.9859955 2558.4927525 2601.2500000
220 32 3 4 2749.3739981 2729.8578133 2629.7500000
221 32 4 4 3230.9395407 3229.1521193 3219.5000000
222 32 5 4 2954.1530400 3102.9722682 3369.0000000
223 32 6 4 3157.0335355 3179.5365540 3200.7500000
224 32 7 4 3014.0767182 2947.5638563 2702.5000000
225 33 1 4 2971.3519828 3056.3755795 3183.0000000
226 33 2 4 2769.1087188 2783.1754465 2690.2500000
227 33 3 4 2547.4376048 2531.3869460 2447.7500000
228 33 4 4 3011.8481167 3019.3237275 3058.2500000
229 33 5 4 2716.7353022 2658.2026795 2574.0000000
230 33 6 4 2806.7293381 2793.8284011 2785.2500000
231 33 7 4 2544.0307642 2568.7072198 2672.5000000
232 34 1 4 2164.1243351 2072.9499498 1950.7500000
233 34 2 4 1770.9353901 1672.6772642 1699.0000000
234 34 3 4 1759.4550617 1811.2940466 2078.7500000
235 34 4 4 2319.5268135 2309.7093825 2259.0000000
236 34 5 4 2145.5871818 2165.3471966 2144.7500000
237 34 6 4 2233.4151243 2246.4823061 2246.0000000
238 34 7 4 2035.6821920 2015.0398542 1915.2500000
239 35 1 2 3728.0168196 3788.9353309 4015.5000000
240 35 2 2 3556.6607552 3365.8877031 3329.0000000
241 35 3 3 3622.3768221 3574.4759907 3331.6666667
242 35 4 3 4097.5589624 4074.7693754 3959.3333333
243 35 5 4 3797.9899156 3969.2564176 4274.5000000
244 35 6 4 4030.6110334 4040.6252911 4017.5000000
245 35 7 4 3829.3489962 3808.0498913 3694.5000000
246 36 1 4 1284.2722759 1215.5930679 1137.5000000
247 36 2 2 856.6824135 819.4807826 910.0000000
248 36 3 3 945.7997282 945.3155581 942.6666667
249 36 4 3 1446.6382999 1443.3878223 1426.3333333
250 36 5 3 1157.1507636 1291.9288748 1540.0000000
251 36 6 3 1433.8501818 1374.8480262 1162.3333333
252 36 7 3 1141.6154987 1143.6125348 1115.3333333
253 37 1 4 2099.4190032 2086.4435530 2219.0000000
254 37 2 4 1917.5849850 1603.4598227 1537.7500000
255 37 3 4 1987.3359346 1996.1899299 2036.5000000
256 37 4 4 2539.4633885 2501.4257171 2320.0000000
257 37 5 4 2441.5316931 2498.1510563 2481.0000000
258 37 6 4 2521.6936655 2543.8184322 2518.0000000
259 37 7 4 2240.6775773 2308.2614889 2425.5000000
260 38 1 4 3122.2884305 3170.0107175 3212.7500000
261 38 2 4 2798.1873325 2900.0138213 2904.5000000
262 38 3 4 2621.8089704 2638.3840095 2724.7500000
263 38 4 4 3161.7372007 3126.0566483 2941.7500000
264 38 5 4 2745.2451352 2759.4715568 2845.5000000
265 38 6 3 2839.9715452 2896.4708742 3096.6666667
266 38 7 4 2757.4334755 2671.5090391 2436.0000000
267 39 1 4 1916.4454537 1867.8221928 1735.5000000
268 39 2 4 1487.4866158 1566.9719509 1606.5000000
269 39 3 4 1364.6223478 1400.1329409 1587.5000000
270 39 4 4 1900.1161711 1890.3497834 1839.2500000
271 39 5 4 1674.7970138 1576.3939653 1374.7500000
272 39 6 4 1672.4002411 1700.1629064 1798.2500000
273 39 7 4 1458.6841509 1473.6662603 1533.7500000
274 40 1 4 3281.2661156 3271.6322759 3257.7500000
275 40 2 4 2927.5771064 2936.4810787 2960.5000000
276 40 3 4 2886.7842026 2875.0249693 2812.7500000
277 40 4 4 3357.6656393 3368.0703095 3422.7500000
278 40 5 4 3068.9293794 3112.6246566 3207.2500000
279 40 6 4 3230.0994753 3221.6848348 3192.7500000
280 40 7 4 3014.4114043 2993.4818751 2925.2500000
281 41 1 4 3127.4407230 3091.6393800 3164.0000000
282 41 2 4 2873.6402639 2620.1740163 2605.7500000
283 41 3 4 3011.2093118 2977.5162204 2815.0000000
284 41 4 4 3496.9401242 3481.8021894 3407.2500000
285 41 5 4 3519.7481492 3458.8796347 3188.2500000
286 41 6 4 3434.7965175 3509.4862585 3644.0000000
287 41 7 4 3144.0423596 3274.5023007 3589.7500000
288 42 1 4 2540.3248983 2684.2553517 2790.7500000
289 42 2 4 2366.2344822 2543.4638735 2380.5000000
290 42 3 4 1839.9810761 1884.8759716 2088.5000000
291 42 4 4 2358.6472151 2361.8941776 2381.2500000
292 42 5 4 1908.0453582 1774.9120073 1655.5000000
293 42 6 4 2051.9774352 1967.3165413 1839.5000000
294 42 7 4 1757.2005453 1748.7820771 1829.5000000
295 43 1 3 3663.1468300 3685.1471581 3531.6666667
296 43 2 4 3075.1317935 3545.1104733 3713.5000000
297 43 3 3 2890.9792725 2884.2036178 2856.3333333
298 43 4 4 3395.3332580 3361.1595826 3213.2500000
299 43 5 4 2828.7579578 2772.8898944 2831.0000000
300 43 6 4 3195.5341483 2965.6180953 2422.5000000
301 43 7 4 2558.1013710 2747.1211785 3393.0000000
302 44 1 4 2589.7582655 2481.5332722 2460.0000000
303 44 2 3 2322.2119162 1957.1778644 1913.6666667
304 44 3 4 2464.1269367 2477.0142672 2531.2500000
305 44 4 4 2965.5015952 2985.6616123 3069.2500000
306 44 5 3 3057.9929692 3052.9582711 2855.3333333
307 44 6 3 3005.4792071 3080.8848526 3175.3333333
308 44 7 3 2794.3979238 2843.2698602 2873.6666667
309 45 1 4 2596.2052953 2577.3482049 2373.5000000
310 45 2 4 2089.4309870 2407.2897727 2469.2500000
311 45 3 4 1800.7964658 1838.6187979 2017.5000000
312 45 4 4 2299.1883387 2318.0503918 2409.2500000
313 45 5 4 1916.3301164 1780.9914465 1624.0000000
314 45 6 4 1968.9451361 1960.8458728 2029.7500000
315 45 7 4 1783.4967934 1740.8555132 1700.7500000
316 46 1 4 2594.5143058 2541.1113978 2559.5000000
317 46 2 4 2333.5114973 2084.3967020 2043.5000000
318 46 3 4 2386.6016360 2396.4203968 2443.5000000
319 46 4 4 2896.0871527 2899.4900081 2914.2500000
320 46 5 4 2826.9733512 2851.4059380 2787.7500000
321 46 6 4 2930.1719200 2908.3378689 2772.0000000
322 46 7 4 2598.3473236 2674.0876884 2834.7500000
323 47 1 4 2718.7235267 2646.7700102 2543.5000000
324 47 2 4 2338.3406913 2267.8614748 2284.5000000
325 47 3 4 2304.7067793 2340.8411319 2529.7500000
326 47 4 4 2838.7596403 2837.4947544 2830.7500000
327 47 5 4 2668.4754675 2656.6898532 2583.5000000
328 47 6 4 2752.5278734 2746.9862300 2703.0000000
329 47 7 4 2501.3362545 2516.6065455 2538.2500000
330 48 1 4 2990.4796451 3246.5550585 3273.0000000
331 48 2 4 2788.3392150 3319.6707904 3141.2500000
332 48 3 4 1897.7350573 2003.8952965 2326.2500000
333 48 4 4 2435.6108510 2463.2744588 2573.5000000
334 48 5 4 1866.1927688 1511.4118914 1237.7500000
335 48 6 4 1964.8546302 1795.5430380 1715.5000000
336 48 7 4 1682.4644864 1587.6494663 1660.7500000
337 49 1 4 2771.7657158 2748.9205279 2690.5000000
338 49 2 4 2465.0795999 2429.7582700 2369.5000000
339 49 3 4 2267.4626130 2319.1793071 2593.0000000
340 49 4 4 2800.8051933 2810.9061803 2864.0000000
341 49 5 4 2563.9610361 2528.1867832 2454.2500000
342 49 6 4 2662.2786371 2644.1032578 2594.5000000
343 49 7 3 2445.5449987 2416.6956738 2332.0000000
344 50 1 4 3308.2360388 3252.8645163 3049.0000000
345 50 2 4 2727.1357522 3009.0624419 3169.5000000
346 50 3 4 2672.5271698 2666.9542214 2638.7500000
347 50 4 4 3150.1156453 3152.4668039 3165.0000000
348 50 5 4 2759.9332219 2741.1988942 2777.2500000
349 50 6 4 3075.5070598 2889.4309432 2382.0000000
350 50 7 4 2505.0470152 2665.7721791 3196.2500000
351 51 1 4 2913.8899674 2860.3872866 2873.7500000
352 51 2 4 2597.4686714 2409.1167561 2431.7500000
353 51 3 4 2687.9669905 2704.4143297 2784.5000000
354 51 4 4 3219.4540681 3207.0350086 3144.7500000
355 51 5 4 2928.5007118 3149.6643455 3541.5000000
356 51 6 4 3286.6367871 3208.9308160 2913.5000000
357 51 7 4 3003.4307387 2974.9514575 2824.7500000
358 52 1 4 3394.1302976 3416.8856174 3533.2500000
359 52 2 4 3119.4225602 3022.0176611 3039.2500000
360 52 3 4 3217.5123463 3144.0294819 2763.5000000
361 52 4 4 3643.1007870 3641.9991373 3636.0000000
362 52 5 4 3503.3784106 3488.4176280 3393.2500000
363 52 6 4 3499.9110363 3571.8703663 3750.0000000
364 52 7 3 3274.3744195 3340.6967746 3510.6666667
365 53 1 4 3626.5143215 3810.2540141 3923.5000000
366 53 2 4 3410.8239212 3730.1933955 3612.5000000
367 53 3 4 2833.5043781 2885.0219402 3097.0000000
368 53 4 4 3407.2817165 3357.0322071 3164.5000000
369 53 5 4 2862.2028254 2666.4560525 2482.0000000
370 53 6 4 2966.9729080 2884.9028879 2822.2500000
371 53 7 4 2639.3791455 2669.3895026 2901.5000000
372 54 1 3 2942.0231388 2980.6772863 2972.3333333
373 54 2 3 2618.6352446 2740.9471960 2709.0000000
374 54 3 4 2373.4877873 2386.3286097 2452.0000000
375 54 4 4 2875.8894415 2871.5054116 2850.0000000
376 54 5 4 2580.6836060 2453.2915594 2243.5000000
377 54 6 4 2675.4200866 2603.2697361 2438.5000000
378 54 7 4 2272.8676914 2379.8135343 2750.5000000
379 55 1 4 4618.2136995 4757.3641386 4906.2500000
380 55 2 4 4294.0236065 4566.2905845 4608.2500000
381 55 3 4 4176.4942180 4062.1844153 3509.7500000
382 55 4 4 4500.3644040 4543.3489412 4751.7500000
383 55 5 4 3894.3729940 4042.1373433 4501.5000000
384 55 6 4 4241.8834553 4212.9801708 4209.0000000
385 55 7 4 4117.8797069 3991.9444063 3689.7500000
-------------------------------------------------------------------------------
Grand mean 2605.69481 Yield kg/ha
Error RMS 328.45642
The RMS for 1454 differences between withheld data
and AMMI1 imputed values is 387.01466.
The implied prediction RMS for imputed values is 204.68690,
which equates to 2.57 effective replications.
If the number of differences is at least about 100,
and if the error RMS estimate also has at least about 100 df,
then these values merit consideration.
These conditions are met.
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
There ain't no such aminal!
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
1 Model 3 replicates and validate 1 replicate.
R 3
27459
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
20 Model 3 replicates and validate 1 replicate, repeating 20 times.
R 3
27401
R 3
27402
R 3
27403
R 3
27404
R 3
27405
R 3
27406
R 3
27407
R 3
27408
R 3
27409
R 3
27410
R 3
27411
R 3
27412
R 3
27413
R 3
27414
R 3
27415
R 3
27416
R 3
27417
R 3
27418
R 3
27419
R 3
27420
EXAM.DAT NY88.DAT NY88.LS1 NY88.LS2 NY88.LS3 NY88.LS4 NY88.VL1 NY88.VL2 NY88.VL3 NY88.VL4
-1 Indirect information analysis.
N 0