Hey everyone, I am trying to run MANOVA on some morphometric data to determine if three groups of specimens are statistically distinct. but i am receiving the error code
Error in summary.manova(Raf.manova1) : residuals have rank 27 < 60. Can anyone spot what i am doing wrong? My data is attached and my script is as follows data1<-Classifier.table.two names(data1) Raf.manova1<- manova(cbind(x1,y1,x2,y2,x3,y3,x4,y4,x5,y5,x6,y6,x7,y7,x8,y8,x9,y9,x10,y10,x11,y11,x12,y12,x13,y13,x14,y14,x15,y15,x16,y16,x17,y17,x18,y18,x20,y20,x21,y21,x22,y22,x23,y23,x24,y24,x25,y25,x26,y26,x27,y27,x28,y28,x29,y29,x30,y30,x31,y31)~as.factor(group),data=data1) summary(Raf.manova1) summary(Raf.manova1,test = "Pillal") summary(Raf.manova1, test = "wilks") summary(Raf.manova1, test = "Hotelling-Lawley") summary(Raf.manova1, test = "Roy") Thank you for your time. -Ian -- MORPHMET may be accessed via its webpage at http://www.morphometrics.org --- You received this message because you are subscribed to the Google Groups "MORPHMET" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected].
group x1 y1 x2 y2 x3 y3 x4 y4 x5 y5 x6 y6 x7 y7 x8 y8 x9 y9 x10 y10 x11 y11 x12 y12 x13 y13 x14 y14 x15 y15 x16 y16 x17 y17 x18 y18 x19 y19 x20 y20 x21 y21 x22 y22 x23 y23 x24 y24 x25 y25 x26 y26 x27 y27 x28 y28 x29 y29 x30 y30 x31 y31 Rafalt 2880 1437 2843.903226 1600 2835.193548 1764 2780 1909.709677 2710 2040.612903 2618 2149.516129 2513 2245.419355 2388.677419 2322 2219.774194 2354 2028.870968 2364 1854.967742 2349 1678 2337.064516 1559 2255.16129 1470.258065 2143 1396 2016.354839 1334.451613 1877 1293 1717.548387 1258 1551.645161 1285 1387.741935 1306.16129 1208 1337 1037.935484 1457.967742 958 1650.870968 950 1844.774194 943 2038.677419 936 2204.580645 947 2378 974.483871 2557.387097 996 2737.290323 1017 2863 1092.193548 2894 1250.096774 Rafalt 3178 1449 3132 1676.806452 3050 1868.612903 2981.580645 2074 2864 2230.225806 2720.967742 2361 2549.16129 2463 2364.354839 2552 2120.548387 2582 1859.741935 2581 1618.935484 2548 1406 2487.129032 1244 2375.322581 1115.516129 2230 998 2073.709677 922 1875.903226 864 1660.096774 871 1409.290323 914 1178.483871 979 969.6774194 1137.129032 854 1350.935484 794 1583.741935 753 1819.548387 715 2044.354839 670 2277.16129 711 2525.967742 736 2774.774194 761 2972.580645 837 3144.387097 936 3177 1180.193548 Rafalt 3220 1553 3219 1795.870968 3159 2035.741935 3064 2240.612903 2938.516129 2415 2793 2569.354839 2665.774194 2714 2427.903226 2708 2220.032258 2800 2022 2730.16129 1816.290323 2636 1607.419355 2545 1416 2436.548387 1247.677419 2305 1100 2152.806452 996.9354839 1956 919 1734.064516 854 1503.193548 846 1267.322581 908 1029.451613 1081.419355 903 1323.290323 845 1558.16129 780 1810 731.9677419 2054 684.0967742 2300 705.7741935 2577 728.6451613 2837.516129 768 3066 839.3870968 3205 1000.258065 3236 1269.129032 Rafalt 2733 1507 2714.258065 1654 2668.516129 1792 2636 1935.225806 2568 2050.967742 2456.290323 2123 2315.548387 2166 2179.806452 2214 2031.064516 2249 1863.322581 2257 1715.580645 2221 1594.83871 2158 1504 2065.096774 1420 1965.354839 1350 1851.612903 1296 1721.870968 1286 1556.129032 1300 1398.387097 1257 1261.645161 1279.096774 1130 1423.83871 1091 1565 1048.419355 1721 1020.677419 1889.064516 1005 2052.806452 989 2209.548387 1014 2371 1022.290323 2520.032258 1057 2663.774194 1097 2726.516129 1218 2730 1358.258065 Rafalt 2669 1615 2676 1799.806452 2646 1969.612903 2572.580645 2106 2489 2232.225806 2382.967742 2336 2254.16129 2417 2115 2487.645161 1956 2497.548387 1774.741935 2519 1591.935484 2504 1449.129032 2441 1348.322581 2332 1236.516129 2234 1146.709677 2114 1073 1977.903226 1011 1830.096774 1010 1621.290323 991 1430.483871 1018 1263.677419 1139.129032 1175 1335.935484 1162 1533.741935 1168 1706.548387 1167 1881.354839 1132 2066.16129 1157 2262.967742 1170 2469.774194 1169 2657 1189.580645 2759.387097 1297 2719 1455.193548 Rafalt 3167 1240 3149.612903 1451 3082 1611.774194 3034 1792.16129 2932.451613 1919 2807.064516 2022 2657 2100.322581 2498.290323 2170 2296.903226 2197 2089.516129 2188 1910.129032 2139 1743.741935 2077 1617.354839 1975 1523 1840.967742 1455 1680.580645 1365 1542.193548 1300 1378.806452 1261 1207.419355 1273 1009.032258 1245 848.6451613 1414.741935 802 1602.129032 761 1806.516129 737 1999.903226 702 2200.290323 674 2395.677419 705 2608.064516 721 2819.451613 738 3016.83871 769 3172.225806 842 3169 1013.612903 Rafalt 3013 1279 2946 1449.161 2870.677 1611 2774 1751.484 2681 1895.645 2543 1994.806 2380.032 2069 2169.871 2096 1956.71 2072 1746.548 2045 1577.387 1977 1458 1859.226 1352.065 1728 1292 1550.903 1234 1371.742 1177 1191.581 1113 1018.419 1030 864.2581 1086.903 736 1311.065 723 1535.226 710 1759.387 697 1984.548 685 2205.71 683 2420.871 705 2637 726.0323 2852.194 748 3067.355 770 3257 817.5161 3180 971.6774 3088.161 1117 Rafalt 3066 1593 3008.194 1777 2906.387 1917 2813 2065.419 2686.774 2181 2552 2288.032 2375.161 2353 2163.355 2383 1941.548 2403 1750 2442.742 1596.935 2354 1440 2269.129 1335 2132.323 1245 1980.516 1156 1827.71 1104 1637.903 1092.903 1409 1095 1169.29 1115 947.4839 1224.323 815 1415.129 764 1637.935 745 1861.742 727 2081.548 705 2295.355 715 2527.161 725 2755.968 738 2973.774 762 3074 903.5806 3079 1140.387 3087 1372.194 Rafalt 2825 1381 2791 1551.968 2736 1701.935 2654.097 1825 2539.129 1915 2411 1991.839 2260.194 2046 2091.226 2082 1904.258 2080 1724.29 2055 1571.323 2003 1446.355 1923 1338 1826.387 1243 1716.419 1168 1586.452 1124 1425.484 1114 1238.516 1144 1067.548 1126 882.5806 1228.387 780 1405.355 752 1592.323 734 1779.29 716 1954.258 686 2139.226 706 2328.194 722 2524.161 731 2703.129 757 2835.097 830 2815 989.0645 2828 1179.032 Rafalt 2972 1426 2903.258 1569 2821 1698.484 2721 1810.226 2590.032 1891 2446.29 1959 2290.548 2015 2116.806 2053 1937.065 2025 1774.323 1976 1648.581 1890 1538.839 1788 1435 1680.097 1359 1544.355 1312 1379.613 1242 1237.871 1257 1071.129 1196 920.3871 1291.355 826 1490.097 813 1684.839 796 1845.581 745 2044.323 732 2197.065 719 2386.806 741 2568.548 759 2775.29 764 2953.032 798 3052 906.7742 3031 1097.516 2988 1266.258 Rafnas 2710 1394 2647 1483.774 2607 1596.548 2587 1729.323 2525 1820.097 2442 1889.871 2352 1952.645 2274 2027.419 2170.806 2077 2047 2086.032 1950 2030.258 1864 1963.484 1770.71 1904 1673.935 1848 1649 1756.161 1589 1663.387 1564 1535.613 1565 1389.839 1533 1273.065 1524 1159.29 1607.484 1090 1750.258 1084 1894 1074.968 2038.806 1067 2170.581 1054 2281.355 1096 2392.129 1138 2541.903 1135 2681.677 1146 2784.452 1196 2770 1301.226 Rafnas 2859 1587 2835 1726.226 2758.452 1832 2710 1947.677 2640 2064.903 2559 2171.129 2427.645 2227 2296.419 2283 2169 2342.806 2029.968 2391 1883.742 2376 1774.516 2298 1653 2232.29 1569 2129.065 1493 2017.839 1442 1881.613 1377 1759.387 1341 1608.161 1341 1456.935 1309 1301.71 1381.516 1201 1534.742 1167 1708.968 1162 1884.194 1174 2057.419 1176 2202.645 1194 2341.871 1242 2496.097 1275 2644.323 1314 2800.548 1345 2894 1434.774 Rafnas 3220 1553 3219 1795.871 3159 2035.742 3064 2240.613 2938.516 2415 2793 2569.355 2665.774 2714 2427.903 2708 2220.032 2800 2022 2730.161 1816.29 2636 1607.419 2545 1416 2436.548 1247.677 2305 1100 2152.806 996.9355 1956 919 1734.065 854 1503.194 846 1267.323 908 1029.452 1081.419 903 1323.29 845 1558.161 780 1810 731.9677 2054 684.0968 2300 705.7742 2577 728.6452 2837.516 768 3066 839.3871 3205 1000.258 3236 1269.129 Rafnas 2762 1380 2756 1502.387 2738 1628.774 2697.839 1733 2632.452 1812 2553.065 1877 2463 1931.323 2353.29 1966 2249.903 2007 2156.516 2058 2046.129 2024 1962 1963.742 1891.355 1890 1813.968 1823 1745.581 1747 1684 1664.194 1664 1539.806 1646 1413.419 1593 1322.032 1577 1203.645 1630.742 1113 1749.129 1087 1877.516 1071 2002 1067.097 2129.29 1050 2254.677 1057 2379.065 1077 2503.452 1097 2628 1116.839 2747.226 1142 2771 1256.613 Rafnas 2604 1915 2544 2063.452 2459 2186.903 2374 2310.355 2287.194 2432 2198.742 2552 2031.29 2593 1852 2573.839 1691.387 2526 1531.935 2477 1434.484 2366 1322 2270.032 1223.581 2160 1147 2028.129 1136.323 1855 1121 1667.226 1094 1485.774 1098 1287.323 1165.129 1146 1317.581 1090 1498.032 1086 1679.484 1059 1855.935 1027 2023.387 1042 2216.839 1057 2412.29 1070 2596 1094.742 2710 1189.194 2684 1369.645 2659 1553.097 2639 1741.548 Rafnas 2675 1841 2635 1950.419 2600 2064.839 2562.742 2177 2493.323 2257 2429.903 2343 2329.484 2392 2195.065 2389 2077.645 2357 1965.226 2320 1884 2251.806 1797.387 2189 1740.968 2096 1682.548 2005 1623 1915.129 1600 1792.71 1576 1671.29 1571 1532.871 1609 1421.452 1690.968 1354 1810 1323.613 1936.806 1301 2064 1278.774 2180.645 1254 2316.065 1268 2459.484 1274 2600.903 1282 2708 1324.323 2732 1449.742 2714 1581.161 2712 1728.581 Rafnas 2772 1422 2778 1572.581 2727 1708.161 2669 1836.742 2583.677 1938 2493 2033.903 2397.516 2125 2274 2188.065 2168 2268.645 2027 2301.774 1904.194 2238 1774 2181.613 1645 2124.032 1547 2035.452 1468.871 1927 1404 1805.29 1350 1672.71 1313 1523.129 1285 1368.548 1303 1199.968 1356.613 1067 1464.194 988 1633.774 997 1810.355 1007 1976.935 993 2136.516 998 2303.097 1018 2474.677 1033 2637.258 1057 2770 1110.839 2785 1250.419 Rafnas 2674 1329 2657 1466.903 2641 1591.806 2614 1729.71 2570 1850.613 2491 1936.516 2409 2019.419 2338.677 2114 2229 2169.226 2094 2199.129 1969.968 2234 1861 2178.065 1753 2121.161 1665 2044.258 1592 1952.355 1522.452 1857 1452 1762.548 1389.645 1660 1376 1508.742 1378.161 1368 1375 1223.935 1418 1114.032 1533.871 1065 1683.774 1050 1841.677 1043 1995.581 1032 2136.484 1042 2271.387 1072 2406.29 1102 2541.194 1132 2644.097 1194 Rafnas 2839 1374 2832 1552.548 2807 1713.097 2779.355 1871 2689 1966.194 2588.258 2051 2488 2136.29 2379 2212.839 2243.613 2261 2086.065 2249 1938.516 2211 1819.968 2144 1711.419 2067 1609 1983.871 1514.323 1893 1441.774 1780 1399 1637.226 1370 1480.677 1340 1325.129 1318 1161.581 1379.968 1042 1550.516 1031 1706.065 1001 1870.613 980 2029.161 953 2185.71 940 2354.258 957 2520.806 976 2697.355 985 2842.903 1025 2846 1195.452 Rafnas 2679 1762 2611 1879.29 2528 1981.581 2436.129 2075 2324.839 2149 2207 2216.452 2087 2281.742 1944.968 2323 1798.677 2284 1674.387 2223 1559.097 2153 1459.806 2067 1376 1965.516 1311 1845.226 1262 1708.935 1225 1562.645 1231 1383.355 1250 1217.065 1340.226 1122 1485 1081.484 1629 1040.194 1773.097 999 1923.387 964 2108.677 964 2281.968 976 2450.258 993 2584.548 1036 2677 1128.839 2692 1299.129 2709 1467.419 2727.29 1625 Rafpon 3050 1299 2992 1499.581 2969 1735.161 2913 1937.742 2812 2095.323 2686 2227.903 2533.516 2334 2365 2424.065 2178.355 2496 1957.774 2534 1730.194 2507 1528 2450.613 1356.032 2364 1227 2234.452 1101.871 2101 1005 1939.29 946 1739.71 903 1524.129 884 1284.548 864 1045.968 1008.613 932 1207.194 872 1443.774 850 1680.355 828 1917.935 807 2149.516 820 2381.097 847 2612.677 874 2844.258 901 3052.839 951 3124 1114.419 Rafpon 2962 1244 2940 1485.742 2931 1740.484 2874.774 1948 2765.032 2102 2660 2260.71 2529.548 2394 2381.806 2510 2196 2587.935 2010.323 2666 1801.581 2695 1580.839 2652 1394 2575.097 1211 2494.355 1084 2357.613 970.871 2207 870 2044.129 790 1860.387 744 1642.645 742 1408.903 765 1168.161 859.5806 999 1066 941.6774 1300.065 912 1538.806 887 1779.548 864 2009.29 882 2247.032 908 2482 936.7742 2715.516 967 2889 1057.258 Rafpon 3021 1407 3013 1629.903 2947.194 1801 2856 1946.71 2746.387 2074 2635.484 2200 2494.581 2296 2321 2359.323 2144.774 2420 1954.871 2461 1742.968 2436 1577.065 2365 1448.161 2257 1319.258 2149 1202 2029.355 1110 1884.452 1030 1727.548 1008 1528.645 1044 1327.742 1071 1117.839 1203 1012.935 1392.968 966 1582.871 919 1769 868.2258 1952.677 817 2138.581 868 2373.484 870 2606.387 874 2783 934.2903 2949 1005.194 2999 1192.097 Rafpon 3079 1470 3061 1680.516 3049.968 1898 2981 2057.548 2891 2196.065 2785 2318.581 2649.903 2412 2506.387 2497 2330 2525.129 2168.355 2558 1977 2530.839 1813.323 2466 1660.806 2390 1520.29 2302 1417.774 2176 1326 2039.258 1266 1870.742 1204 1704.226 1167 1512.71 1146.806 1308 1190 1122.677 1329.839 1034 1541 1016.645 1754.871 1002 1974.387 993 2184 1001.903 2392.419 1022 2598 1044.935 2793.452 1078 2982.968 1117 3081 1247.484 Rafpon 3026 1357 2990 1557.903 2966 1770.806 2913.29 1955 2820 2098.613 2715 2230.516 2591 2343.419 2441 2430.323 2264.774 2491 2046.871 2510 1849.968 2474 1671.065 2416 1524 2326.161 1383 2230.258 1277.355 2099 1191.452 1948 1127 1775.548 1079 1586.645 1058 1370.742 1090 1181.839 1134.065 1009 1306.968 945 1522.871 924 1738.774 903 1940 867.3226 2127.581 862 2314.484 912 2549.387 914 2775.29 925 2951 986.1935 2999.097 1175 Rafpon 3090 1471 3058 1672.419 3029 1876.839 2936.742 2030 2839.323 2178 2729.903 2314 2563 2392.516 2410.065 2485 2239.645 2512 2008.226 2498 1771.806 2489 1583.387 2432 1427.968 2342 1289 2235.548 1188 2091.129 1100.71 1933 1043 1745.29 1025.871 1517 1030 1287.452 1083 1095.032 1202.387 969 1381.806 921 1584 883.7742 1803.645 858 2025.065 838 2250.484 858 2475.903 878 2702 897.3226 2910.742 934 3022.161 1068 3075 1260.581 Rafpon 3030 1368 3022 1593.677 3011.645 1809 2929 1972.032 2837.29 2126 2702.613 2237 2560 2340.065 2416.258 2442 2236.581 2508 2024.903 2498 1824.226 2453 1644.548 2387 1484.871 2301 1356 2184.194 1218 2076.516 1134.839 1914 1076 1727.161 1050 1507.484 1032 1279.806 1068 1102.129 1198 986.4516 1341 883.7742 1520.903 818 1735.581 787 1959.258 765 2175.935 784 2389.613 816 2603.29 848 2808.968 888 2949.645 993 3046 1138.323 Rafpon 3168 1281 3164 1522.677 3106.645 1711 3018 1868.032 2909 2004.71 2799.613 2141 2657.935 2245 2495.258 2328 2300.581 2365 2081.903 2338 1897.226 2277 1716.548 2244 1550 2164.871 1409.194 2060 1307.516 1916 1235 1742.839 1142 1590.161 1129 1357.484 1120 1128.806 1229.871 993 1359.548 877 1554.226 826 1766.903 793 1931.581 808 2105.258 736 2265.935 805 2501.613 815 2738.29 824 2974.968 833 3130 923.6452 3204 1071.323 Rafpon 2896 1485 2888 1699.968 2861 1887.935 2771.097 2061 2656 2208.871 2515.161 2331 2368 2446.806 2212 2553.774 2036.258 2641 1811.29 2641 1595.323 2606 1425 2517.355 1268 2411.387 1116 2300.419 1002.452 2151 890 2000.484 840 1787.516 803 1561.548 823 1324.581 864 1102.613 904 887.6452 1103.323 832 1355.29 843 1601.258 844 1831 810.7742 2068.194 831 2306.161 856 2554.129 871 2772 916.0968 2915.065 1036 2934 1260.032 Rafpon 3362 1265 3344 1528.161 3250 1751.323 3160 1978.484 3030.355 2166 2889 2341.806 2731 2500.968 2508 2595.129 2276.71 2681 2001.548 2723 1710.387 2715 1443.226 2665 1208.065 2583 1065.903 2408 918 2238.742 814 2025.581 731 1791.419 695 1510.258 667 1221.097 665 931.9355 823 772.7742 1022.387 655 1307.548 623 1592.71 591 1877.871 559 2178 546.0323 2456.194 585 2734.355 624 3013.516 662 3286 706.6774 3348 961.8387
