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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
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     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


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Thursday, October 9, 1997 at 7:57 PM