다음은 R에서 생성된 N(0,1), N(10,2^2), U(-3,3), Chisquare(3)-3, -Chisquare(3)+3 인 각 300개의 난수이다. 각 난수에 대한 히스토그램, QQplot 등의 진단도구를 사용하여 분포를 검정해 보자. ID xnorm1 xnorm2 xunif xcauchy xchim3 xmchim3 1 -0.7062 12.0092 -2.8928 -0.3409 -0.6577 1.7624 2 -0.8711 9.7327 -0.3059 0.9515 -1.4607 -0.1094 3 0.6131 11.1094 2.8564 0.1090 0.8104 -2.5567 4 -2.0453 11.4621 -2.8630 -2.7434 4.6566 2.1436 5 -1.0888 9.5675 -1.0558 -18.3662 -2.1209 1.2088 6 1.7922 9.6069 2.2481 1.1457 -2.4088 0.4339 7 0.4540 9.1403 -1.7177 0.5191 -1.3614 -2.6254 8 1.5266 12.9290 0.7450 2.8112 2.7009 -1.7122 9 1.4064 6.9753 -1.6945 3.4569 -1.7105 -0.8832 10 -0.6400 10.0444 -1.7184 0.2046 -0.4581 0.7260 11 0.5205 9.3072 1.6247 0.5835 -2.0880 0.0475 12 -0.7457 6.9591 -2.0069 0.9879 -1.4641 -1.6204 13 1.3469 10.1359 2.9087 0.1849 -1.2970 2.5849 14 0.5557 6.5138 0.8804 2.5548 -0.3611 -2.2538 15 -1.1915 11.0732 1.6530 -1.1467 2.1342 -4.6395 16 1.2891 8.0220 -0.2672 -1.0790 -1.1984 0.8795 17 -0.7415 11.9691 -1.1061 -0.3083 -1.5998 -0.1127 18 1.7518 8.7160 -1.9413 -0.6413 -1.1058 0.8750 19 -1.6814 9.2442 -0.1824 -2.8020 3.5403 -0.4820 20 -0.0464 8.2494 -0.2643 0.2069 0.2281 1.7306 21 -0.5917 12.3041 2.5831 -1.1706 -1.6713 -0.8381 22 1.0774 13.3608 2.8910 0.8456 1.3407 0.6947 23 0.4083 8.5509 -1.0567 -0.0494 -2.2803 0.6158 24 0.1488 12.3270 -0.8564 -0.5281 0.6514 -0.4302 25 0.3157 10.7429 1.4336 2.8661 -1.4703 -1.6179 26 0.6067 8.2709 0.6148 -0.0541 -0.5388 0.0001 27 -0.4622 11.7201 1.6038 2.8660 -1.7668 2.4617 28 -1.1015 14.5437 2.7556 -2.3702 -1.7885 0.1592 29 -1.1620 10.3974 -0.2955 -0.8818 -1.4029 -0.6945 30 0.1228 9.1796 1.7241 -0.8982 2.5662 2.9305 31 0.6740 12.8609 0.0983 -1.8319 -2.6574 -0.9577 32 0.3990 9.8137 0.1351 -0.0580 0.5346 -5.7343 33 1.5353 10.6710 -0.1223 -0.6753 -1.8301 -0.0603 34 -1.0968 8.3884 -1.2910 0.7345 -2.8695 -1.5828 35 -0.4947 12.2333 -1.5438 0.4186 -2.2391 -0.7095 36 2.0236 8.4852 2.6840 0.8234 -0.6572 2.1830 37 -0.0792 7.8477 -2.4172 -0.5303 -1.6453 -3.6787 38 -0.4528 11.7859 0.4677 1.4367 0.1723 -6.0785 39 -1.8608 11.0870 -2.8982 -0.0551 -0.4113 0.3856 40 0.0491 10.2792 2.8183 -4.3514 -2.6488 1.6973 41 -0.4815 11.9779 2.7762 -0.0212 1.6671 1.2558 42 -1.0864 8.5524 -0.9774 3.1999 -0.3790 1.1887 43 -1.0523 12.8352 2.3507 -0.7954 1.1802 1.3133 44 -0.6494 7.5372 0.7428 1.0937 -1.3986 2.2382 45 0.1217 9.8734 1.6261 -0.4225 0.9113 -2.1569 46 0.7689 7.5241 1.0719 -2.3562 -1.2468 1.8304 47 0.9222 7.4989 1.5790 -0.2987 2.0149 -1.2823 48 -0.4897 10.2252 1.7816 1.1188 -2.2417 -1.3453 49 1.1721 11.2619 2.1335 0.6130 1.4998 -10.2758 50 -1.5874 10.9420 -2.6754 0.3279 -2.6008 2.5478 51 -0.5398 6.8942 -1.3041 0.9253 0.0882 -0.0881 52 0.9391 10.3288 -2.2650 -6.0921 -1.7940 1.5833 53 -0.6717 10.3307 -0.9594 -0.2279 -1.8848 -4.7018 54 0.9928 8.2517 1.4298 -1.5026 2.7549 -5.4540 55 -0.5066 8.9596 -1.9785 0.6603 -1.3577 -0.4990 56 -0.3792 8.9648 2.3418 0.2105 2.2895 -12.8122 57 -0.1089 11.6485 -2.1810 -0.9524 -0.1675 1.9674 58 1.7167 8.3446 2.2871 0.8390 1.7130 1.7696 59 -0.0723 11.7674 0.4891 -1.8060 2.4878 -0.6126 60 2.1895 8.5372 -1.8282 0.2977 2.9054 0.8297 61 1.0491 12.4819 1.6854 1.9142 -2.6317 -0.7085 62 1.7320 13.1560 2.9682 -0.5697 1.7655 -3.7745 63 1.4685 11.0851 -0.9564 3.8984 -0.8911 2.8842 64 -2.4383 12.1690 1.2999 -0.9046 0.6999 0.8298 65 -0.9975 9.5557 2.3957 0.8469 -2.7353 1.8411 66 -0.7766 7.8066 -2.8618 0.5473 2.0145 -1.4235 67 0.0597 13.4954 2.7616 0.0074 -2.3085 1.7436 68 -0.3275 10.8537 -1.9403 -1.7241 -2.5602 -0.3857 69 -0.3654 10.5155 -2.4065 3.5913 -1.8154 -3.5181 70 -0.9354 7.9584 0.3414 -1.3856 -0.9216 1.3469 71 0.6160 11.1605 -0.5367 -0.3658 -0.7878 1.1175 72 0.0616 8.6996 -2.6517 2.7445 0.1974 1.0532 73 0.0313 10.3954 -2.6127 2.3466 3.4677 -2.0157 74 0.1469 9.9168 0.8661 0.9529 -1.8367 2.3642 75 -1.5507 13.0417 1.4681 6.2846 -0.8905 -0.1134 76 1.6030 8.4284 2.1054 -0.2906 7.0366 2.3224 77 1.6090 9.1794 2.4183 -0.8947 -0.5655 2.1925 78 1.5313 10.4933 0.8601 54.6929 -2.1694 0.9194 79 1.8802 9.1830 1.3338 5.5721 0.3357 0.4539 80 -1.6581 7.6916 1.2048 -5.2988 -1.1517 -5.9118 81 -0.5865 10.0422 2.0772 -0.1589 -2.4992 0.1183 82 -0.5687 12.8326 2.6013 0.1301 0.6670 2.2006 83 -0.7619 10.8799 -1.3543 -1.3960 -1.7328 1.7291 84 2.3964 15.7967 2.0144 -0.0554 -0.2737 0.0173 85 0.7479 12.0561 -2.5433 -1.2593 -1.9267 1.9019 86 -1.5423 7.6304 -2.7095 -5.2257 -2.0666 0.5023 87 -1.3742 9.7634 -1.5451 -0.3590 -2.3435 1.0332 88 -1.2529 7.6699 -2.3934 -0.0127 -0.0918 0.8752 89 0.9952 11.1837 -0.1001 -3.3291 -2.7428 -2.5176 90 -0.7799 8.4730 -2.2436 0.2766 0.2005 1.4895 91 0.4664 11.1414 -1.4691 0.0683 -0.1902 1.6469 92 -0.6701 11.3234 -2.0842 0.2748 -1.1355 -0.9021 93 -0.7453 11.7987 -0.1927 -0.2351 -2.1129 1.3591 94 1.0729 9.5589 1.0954 3.8752 -0.9239 1.8528 95 -0.1181 12.0942 1.5576 1.0261 -0.4025 1.6555 96 0.0431 7.4727 2.9800 3.1603 2.0713 -2.4041 97 0.0539 8.2603 -1.6801 1.0939 -2.4112 1.6978 98 -1.0066 5.9728 -0.5580 0.5576 -2.7887 2.9380 99 1.0346 10.1459 -0.7050 0.0108 0.4498 2.2260 100 0.7567 10.0508 -1.4687 3.2656 0.3829 2.5385 101 0.8377 9.2496 -1.2595 63.1996 -0.5585 1.0246 102 0.6918 5.9166 -2.2957 0.1987 -0.5611 -2.4328 103 -1.5173 8.5091 -1.0676 -72.1866 1.7561 -2.0616 104 -1.2181 8.2676 1.4788 -0.2221 -2.1609 -1.9957 105 0.5106 11.0193 2.2774 3.4209 -0.8027 2.4624 106 0.5352 7.2477 -0.9836 -0.7976 1.1331 -1.0445 107 -0.4439 8.5836 2.5905 -0.0313 3.0550 2.6299 108 0.7956 10.6596 -0.0091 0.8003 -0.2390 2.5041 109 0.3245 6.2082 1.4870 0.2198 -1.4453 1.4183 110 1.4535 7.2077 -1.5696 1.6697 -2.4223 -1.2565 111 0.5124 10.0413 -1.9009 0.3721 -2.3114 1.5162 112 1.2117 8.6665 -2.1242 1.2545 -1.6191 1.9660 113 0.8479 9.1880 -2.1212 0.0300 -1.1756 -0.1666 114 -0.1002 12.6071 -0.6060 -0.2486 -1.4895 1.8737 115 0.2855 11.0629 -1.5592 -0.5058 1.6058 0.7281 116 0.0373 12.3410 -2.0463 -1.3633 -2.1744 -0.0563 117 -0.9457 11.6430 0.3657 -2.4805 0.2790 2.9043 118 -1.1751 9.2139 0.1111 -4.0340 -1.6390 1.2110 119 -0.7578 9.8045 -0.3919 -0.7188 10.1905 0.5229 120 0.5707 14.4224 -0.2849 0.4056 -1.4019 1.7504 121 -0.5062 6.8156 -2.6675 -3.0592 0.5539 -5.7650 122 -0.2467 11.6608 0.3108 0.7693 0.7386 1.4453 123 -0.1644 10.2288 0.4031 0.3780 -0.7052 0.0578 124 0.5597 9.2486 -0.1822 0.0323 2.0665 -2.4027 125 1.0848 13.0156 1.8637 -3.6656 -2.4329 -3.6348 126 0.1773 9.4546 -0.0336 1.6726 -0.9972 -2.5140 127 0.2837 11.5280 -1.9105 1.0114 1.9681 1.6186 128 -0.8777 10.5595 1.2214 0.6854 -0.1533 0.0264 129 -0.7914 13.4381 -0.5351 25.0350 -1.3512 2.1044 130 2.1434 10.8140 -0.4490 0.3814 3.6069 -1.6215 131 1.3118 12.3435 0.2437 -0.1514 -2.3184 1.8645 132 -0.3140 11.4511 2.5842 -5.1988 -2.5005 2.9074 133 0.0504 12.3116 0.8843 0.2681 1.4978 1.4802 134 -0.8699 8.8703 -1.2566 -2.8553 -1.9493 -11.7161 135 3.5972 10.7375 -1.7507 -0.2921 0.0457 -4.7225 136 0.4641 11.3697 2.0406 -1.1303 2.3151 -1.5598 137 0.3558 8.6071 2.4377 0.0191 -0.8793 0.7092 138 1.0217 9.0383 1.1131 1.3745 -0.0735 0.1371 139 -0.6637 8.8858 0.9541 -5.6966 -0.6028 2.6694 140 1.0898 9.8652 -1.2877 0.5367 3.3193 2.9013 141 1.3079 7.6918 -0.1641 1.9078 -1.4049 1.8178 142 -1.9862 9.5591 1.9438 -0.2842 -2.9766 0.3496 143 -1.1369 11.0345 1.0923 -0.4647 -1.2936 1.3249 144 0.2017 11.3125 0.7785 -0.5290 -0.8930 2.5290 145 -0.3837 11.3911 -2.7233 -0.8977 -1.6243 -2.5361 146 -0.3178 10.7464 1.3440 -2.1579 -1.1431 1.6711 147 1.0646 8.5552 2.4931 -1.2556 -1.6655 1.1420 148 0.8829 7.3445 2.0236 0.1866 -1.7334 -3.0317 149 0.3790 8.0537 -1.8575 -0.3558 3.7113 1.2149 150 -1.9947 7.5590 1.1641 0.3040 -1.9650 1.7135 151 -0.6324 11.3894 0.9709 0.3295 3.3201 -1.1484 152 -1.3309 5.5306 0.3252 1.6546 -0.5523 1.5491 153 -2.2790 11.3539 0.5799 -2.0002 -2.4413 1.0919 154 0.0889 14.9993 0.4108 2.1683 -1.8857 2.6340 155 0.0081 9.5305 -2.0819 -0.4306 0.9115 -3.6340 156 -0.2866 13.4416 2.9138 0.0649 -2.0178 1.7976 157 -0.7729 7.4703 -0.2530 -0.6511 -1.5070 1.5203 158 -0.9782 13.5523 -1.3898 8.5171 -1.4863 2.3696 159 -0.8287 10.3253 1.9303 0.3155 -1.4146 -1.3108 160 -0.8731 8.5254 0.1105 -3.3938 10.9555 1.7186 161 -0.1541 14.5293 2.2872 -0.2174 -2.0211 2.6882 162 1.1970 9.5704 -1.0490 -1.1059 6.9266 1.8772 163 0.9443 9.7562 -1.6681 38.1829 0.2846 1.9661 164 -0.6891 9.1200 -2.8630 6.1727 3.3735 -2.9827 165 1.7251 12.8669 -1.8436 -0.0476 0.9471 0.6874 166 0.4398 11.3382 2.0989 0.8815 2.5650 1.8416 167 0.1391 9.2667 -0.3187 -0.1348 2.5789 2.9620 168 0.7513 11.2782 -1.3036 -0.2636 -1.3873 1.8040 169 0.2843 7.2939 -0.3454 -0.8926 -0.1344 -2.4629 170 0.2144 9.5684 1.9255 0.6997 -2.4742 0.1330 171 -0.1796 10.4115 -2.6249 -1.3836 -0.5654 -3.2416 172 0.8706 9.6457 -1.2852 -2.1423 3.7381 -5.3491 173 0.4057 6.3135 1.8212 -1.8360 -1.6847 -0.5265 174 -0.7964 13.6946 2.1025 -3.8104 -2.6242 1.7637 175 -2.0346 11.5046 -0.8921 0.1555 1.5790 -12.2734 176 1.2131 8.7790 -1.1193 -2.2557 0.5167 -2.9444 177 0.7811 11.1855 -1.4786 0.2376 -0.5913 1.5769 178 0.5092 10.0881 0.4596 -3.2157 -1.4496 -1.5909 179 0.8420 12.0843 -2.2149 0.7035 -2.3792 -0.6233 180 -0.6219 8.8079 -1.4943 0.5896 1.3801 -3.6544 181 0.8494 9.8177 -2.6090 0.5724 -1.1785 0.3710 182 -0.7509 11.2489 -2.5628 -0.0473 1.0489 -0.9062 183 0.3292 9.1817 0.4854 0.3985 3.1194 -0.3519 184 -1.1736 12.7576 -1.4794 -0.9631 -0.2613 0.3345 185 -0.1773 14.0390 0.2045 -1.2554 -2.7575 0.1629 186 -1.7431 10.0719 -2.5173 0.4733 2.1186 0.8181 187 -1.1064 10.9597 1.8692 5.1595 -2.4953 1.5686 188 1.7801 9.5411 -2.1462 -2.4928 1.7643 -4.2483 189 -2.2584 10.6725 2.8241 1.6109 -1.6689 1.8332 190 0.5247 9.8366 1.7677 -1.3738 0.4031 -1.4610 191 0.8361 11.8508 0.8319 0.3421 -0.0210 0.6749 192 0.6725 11.7602 0.0361 -0.0169 0.0719 1.2059 193 -2.7348 11.1585 -1.5643 -1.1665 -2.6067 -4.8235 194 -0.7838 8.6833 1.9592 -0.1609 -2.7550 0.9019 195 -1.0593 9.0332 2.5473 -0.3854 -1.4327 -0.1738 196 -1.5238 9.2928 2.7595 2.0341 -1.7908 -0.9283 197 1.9182 7.9829 2.2843 0.4206 0.8726 2.1918 198 -0.6185 7.3739 0.7314 1.8560 -1.7649 1.7981 199 1.0961 10.7673 -2.7420 -0.8996 0.1175 2.6017 200 0.0863 10.5073 1.9905 0.1151 1.8770 -4.5266 201 -0.0025 11.9693 0.0932 -0.4587 -1.3523 -1.3435 202 0.5793 7.3327 0.3486 0.3895 -2.2729 -1.1696 203 0.6547 12.9098 -1.2417 1.2128 -2.9034 1.1913 204 0.2433 10.6996 0.2241 0.4644 -2.6205 -0.9417 205 1.2386 10.3890 0.2449 1.0809 -0.6197 2.4137 206 -1.3864 10.7643 -2.9485 -11.1011 0.5839 -3.7873 207 1.4690 9.2826 -0.4322 -1.6345 0.5846 -1.8259 208 -0.0524 9.5932 -0.2447 -0.3076 0.0688 -4.6868 209 0.3505 12.7672 -0.5815 -0.1524 -2.2539 2.8398 210 -2.4288 13.9391 -2.8392 0.0500 -2.8510 0.7222 211 -0.5333 11.3102 -1.5187 7.6630 0.7188 1.5768 212 0.8979 12.5271 1.3091 -1.9985 1.5322 -4.6803 213 -1.7853 8.0507 0.9563 1.5614 -1.4346 -3.9946 214 0.7671 7.8402 -2.6599 -7.6570 -1.6899 -0.8147 215 0.3496 10.7432 -2.2092 2.4289 -1.1244 2.9457 216 -0.5208 10.9015 -0.8157 19.9932 -1.3513 0.4016 217 0.5594 11.0534 2.6151 -0.5615 2.3104 0.0851 218 -1.6343 8.7458 2.7408 -1.1989 -0.2807 1.4658 219 -0.3063 8.1805 2.2634 0.1209 -2.6554 -9.3161 220 0.1844 12.9719 -2.7775 2.5829 -2.0573 1.9955 221 -1.1506 11.6064 -2.2690 -0.6567 7.4173 -0.2490 222 -0.0491 14.7176 2.3128 -4.5040 1.1340 -0.4422 223 0.8519 6.2183 -2.4949 0.4668 -0.3704 -0.6349 224 0.5431 8.7891 2.4691 -0.1294 0.0021 -4.8143 225 -0.4274 7.6960 -1.8057 -0.2574 -1.2148 0.7498 226 -0.5842 6.9951 2.2940 -12.2614 -1.7115 0.5469 227 0.5249 8.2536 -1.0640 -0.1421 -1.8841 -1.7388 228 -1.7887 14.1776 -1.6570 -2.4610 0.3998 1.6165 229 0.7799 11.2374 2.5280 0.5955 5.8592 1.3819 230 0.3715 8.2144 -0.3397 3.2520 -1.7239 2.6693 231 0.7515 7.8421 0.3393 -1.4926 0.6387 -3.5720 232 -0.1012 10.3349 -0.2943 0.5589 2.0481 0.4766 233 0.2137 10.1285 1.1697 0.8233 -0.8194 -0.8558 234 -0.1496 8.4994 -1.6576 21.1779 0.4995 -1.5225 235 0.6682 12.2218 2.2000 -0.6624 -2.3513 2.1647 236 -0.8466 7.3590 1.0056 -1.4831 -1.1567 0.1652 237 -0.3934 12.6270 2.9550 1.6839 -0.8579 -1.7534 238 0.7339 9.5494 -2.8665 -0.0026 -2.3627 2.3572 239 -0.2850 4.7740 0.8232 -0.4586 4.4371 -1.5694 240 0.2514 12.2022 0.9016 -3.4015 -2.0624 1.1429 241 -0.4784 10.7453 -0.0988 0.2860 -2.2140 2.4507 242 1.2183 10.9805 1.1315 0.2468 0.0619 1.6313 243 0.7977 9.4657 -2.5105 -4.9527 4.2441 -2.1486 244 -0.4903 12.1111 2.2864 0.0640 1.1594 2.3588 245 1.0277 8.5101 -0.7268 -0.3937 0.7368 -0.2894 246 0.1895 11.6407 -0.7087 0.0580 -2.9306 1.1211 247 0.7601 8.1878 1.0159 -0.8450 -0.5474 -1.0312 248 0.1754 10.0823 -0.8015 1.0675 -1.5768 0.7604 249 -1.1167 8.1283 -0.2508 -0.7724 -1.9281 1.7927 250 -1.8977 9.0943 -1.7643 -0.2296 -2.0228 2.2339 251 0.4109 8.3974 0.6002 13.3754 -2.7382 -1.1235 252 -0.3095 9.8124 -2.5869 25.5465 0.3710 -1.6930 253 -0.8318 5.9394 1.4646 -3.6266 3.8399 0.2941 254 -1.5455 11.2953 0.9871 -0.2839 2.6928 0.8907 255 0.9228 11.0382 -2.5893 1.1603 -2.4616 1.6687 256 -0.3886 9.1065 2.3613 -0.6163 -1.6566 -0.8565 257 0.5360 8.9631 0.6642 -0.4115 -0.7024 1.8649 258 0.3710 9.3706 -1.4254 0.4104 -2.4755 -0.9671 259 -0.1067 13.2496 -0.9247 -0.7228 -1.2057 1.7608 260 -0.6545 9.7374 1.6837 -0.5456 -0.4820 -2.9082 261 0.9270 11.0870 1.2415 -0.7866 -0.4202 -0.4855 262 -0.7420 10.8534 -1.5523 1.0996 2.8617 2.3528 263 1.1163 6.5175 -1.5002 0.8717 -0.1372 1.2979 264 -0.6996 11.8128 1.6736 1.4626 0.8332 2.1381 265 -1.2212 9.3916 1.9476 -2.3327 -2.1687 0.4091 266 0.5394 10.8015 -2.4414 0.6612 0.8509 1.0656 267 -0.3961 8.7237 -1.1439 -0.9846 -0.7902 0.7619 268 0.7722 11.3069 -0.0387 2.3891 0.2795 0.6302 269 2.5772 9.8092 1.8436 0.2130 -0.7233 1.3240 270 0.1948 8.6871 -1.8752 -1.1048 3.8878 1.4429 271 0.3889 7.8278 0.4815 2.3613 -0.1687 -3.9376 272 2.5484 4.7349 -2.2222 -0.4398 0.2313 -0.2013 273 -0.9429 9.4375 1.3458 2.1768 -2.9479 0.9639 274 0.6934 11.0145 -0.7760 -0.0614 1.0256 -1.0562 275 1.7388 11.1034 -2.0371 -5.5986 -1.9663 1.7571 276 -0.4376 12.2553 1.7393 -0.7407 -1.5689 1.0993 277 0.8388 11.8463 -2.0961 1.3831 -0.8932 1.2452 278 -1.0603 10.7216 1.4333 -0.1666 -1.6343 -3.9632 279 -1.0683 8.5091 -1.2586 -0.7589 1.3060 0.5581 280 0.9375 11.7303 -0.0119 -1.1686 -1.0720 1.7029 281 0.8034 15.1604 -1.4689 -0.4567 -2.6557 -2.1911 282 0.1870 14.5180 -1.6528 0.3174 -1.2733 2.1552 283 -0.9299 12.4013 -0.6033 -2.3078 -2.2181 0.3027 284 -0.8183 13.6705 0.2257 1.6596 -2.4156 -0.9292 285 0.8293 8.0184 1.5819 0.1515 -0.1784 0.9617 286 -0.4907 10.3769 1.0157 -14.5637 1.1109 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