statistical_table

ภาคผนวกตารางสถิติ

ผนวก 2ตารางสถติ ิ 2 ความนา จะเปน สะสมทวนิ าม P(X ≤ r) = r ∑ b(x; n,π ) x=0 πn r 0.10 0.15 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.905 0 0.5905 0.4437 0.3277 0.2373 0.1681 0.0778 0.0312 0.0102 0.0024 0.0003 0.0000 1 0.9185 0.8352 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005 2 0.9914 0.9734 0.9421 0.8965 0.8369 0.6826 0.5000 0.3174 0.1631 0.0579 0.0086 3 0.9995 0.9978 0.9933 0.9844 0.9692 0.9130 0.8125 0.6630 0.4718 0.2627 0.0815 4 1.0000 0.9999 0.9997 0.9990 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 0.4095 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000010 0 0.3487 0.1969 0.1074 0.0563 0.0282 0.0060 0.0010 0.0001 0.0000 0.0000 0.0000 1 0.7361 0.5443 0.3758 0.2440 0.1493 0.0464 0.0107 0.0017 0.0001 0.0000 0.0000 2 0.9298 0.8202 0.6778 0.5256 0.3828 0.1673 0.0547 0.0123 0.0016 0.0001 0.0000 3 0.9872 0.9500 0.8791 0.7759 0.6496 0.3823 0.1719 0.0548 0.0106 0.0009 0.0000 4 0.9984 0.9901 0.9672 0.9219 0.8497 0.6331 0.3770 0.1662 0.0473 0.0064 0.0001 5 0.9999 0.9986 0.9936 0.9803 0.9527 0.8338 0.6230 0.3669 0.1503 0.0328 0.0016 6 1.0000 0.9999 0.9991 0.9965 0.9894 0.9452 0.8281 0.6177 0.3504 0.1209 0.0128 7 1.0000 1.0000 0.9999 0.9996 0.9984 0.9877 0.9453 0.8327 0.6172 0.3222 0.0702 8 1.0000 1.0000 1.0000 1.0000 0.9999 0.9983 0.9893 0.9536 0.8507 0.6242 0.2639 9 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9990 0.9940 0.9718 0.8926 0.6513 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000015 0 0.2059 0.0874 0.0352 0.0134 0.0047 0.0005 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.5490 0.3186 0.1671 0.0802 0.0353 0.0052 0.0005 0.0000 0.0000 0.0000 0.0000 2 0.8159 0.6042 0.3980 0.2361 0.1268 0.0271 0.0037 0.0003 0.0000 0.0000 0.0000 3 0.9444 0.8227 0.6482 0.4613 0.2969 0.0905 0.0176 0.0019 0.0001 0.0000 0.0000 4 0.9873 0.9383 0.8358 0.6865 0.5155 0.2173 0.0592 0.0093 0.0007 0.0000 0.0000 5 0.9978 0.9832 0.9389 0.8516 0.7216 0.4032 0.1509 0.0338 0.0037 0.0001 0.0000 6 0.9997 0.9964 0.9819 0.9434 0.8689 0.6098 0.3036 0.0950 0.0152 0.0008 0.0000 7 1.0000 0.9994 0.9958 0.9827 0.9500 0.7869 0.5000 0.2131 0.0500 0.0042 0.0000 8 1.0000 0.9999 0.9992 0.9958 0.9848 0.9050 0.6964 0.3902 0.1311 0.0181 0.0003 9 1.0000 1.0000 0.9999 0.9992 0.9963 0.9662 0.8491 0.5968 0.2784 0.0611 0.0022 10 1.0000 1.0000 1.0000 0.9999 0.9993 0.9907 0.9408 0.7827 0.4845 0.1642 0.0127 11 1.0000 1.0000 1.0000 1.0000 0.9999 0.9981 0.9824 0.9095 0.7031 0.3518 0.0556 12 1.0000 1.0000 1.0000 1.0000 1.0000 0.9997 0.9963 0.9729 0.8732 0.6020 0.1841 13 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9995 0.9948 0.9647 0.8329 0.4510 14 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9995 0.9953 0.9648 0.7941 15 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

ตารางสถิติ 2 ความนา จะเปน สะสมทวินาม P(X ≤ r) r (ตอ) ผนวก 3 = ∑ b(x; n,π ) x=0 πn r 0.10 0.15 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.9020 0 0.1216 0.0388 0.0115 0.0032 0.0008 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.3917 0.1756 0.0692 0.0243 0.0076 0.0005 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.6769 0.4049 0.2061 0.0913 0.0355 0.0036 0.0002 0.0000 0.0000 0.0000 0.0000 3 0.8670 0.6477 0.4114 0.2252 0.1071 0.0160 0.0013 0.0000 0.0000 0.0000 0.0000 4 0.9568 0.8298 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003 0.0000 0.0000 0.0000 5 0.9887 0.9327 0.8042 0.6172 0.4164 0.1256 0.0207 0.0016 0.0000 0.0000 0.0000 6 0.9976 0.9781 0.9133 0.7858 0.6080 0.2500 0.0577 0.0065 0.0003 0.0000 0.0000 7 0.9996 0.9941 0.9679 0.8982 0.7723 0.4159 0.1316 0.0210 0.0013 0.0000 0.0000 8 0.9999 0.9987 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001 0.0000 9 1.0000 0.9998 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006 0.0000 10 1.0000 1.0000 0.9994 0.9961 0.9829 0.8725 0.5881 0.2447 0.0480 0.0026 0.0000 11 1.0000 1.0000 0.9999 0.9991 0.9949 0.9435 0.7483 0.4044 0.1133 0.0100 0.0001 12 1.0000 1.0000 1.0000 0.9998 0.9987 0.9790 0.8684 0.5841 0.2277 0.0321 0.0004 13 1.0000 1.0000 1.0000 1.0000 0.9997 0.9935 0.9423 0.7500 0.3920 0.0867 0.0024 14 1.0000 1.0000 1.0000 1.0000 1.0000 0.9984 0.9793 0.8744 0.5836 0.1958 0.0113 15 1.0000 1.0000 1.0000 1.0000 1.0000 0.9997 0.9941 0.9490 0.7625 0.3704 0.0432 16 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9987 0.9840 0.8929 0.5886 0.1330 17 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9998 0.9964 0.9645 0.7939 0.3231 18 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9995 0.9924 0.9308 0.6083 19 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9992 0.9885 0.8784 20 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

ผนวก 4ตารางสถิติ 3 ความนาจะเปน สะสมปว สซอง P(X ≤ r) = r ∑= r e−µ µ x ∑ Pois(x; µ) x=0 x=0 x! µr 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90 0.9048 0.8187 0.7408 0.6703 0.6065 0.5488 0.4966 0.4493 0.40661 0.9953 0.9825 0.9631 0.9384 0.9098 0.8781 0.8442 0.8088 0.77252 0.9998 0.9989 0.9964 0.9921 0.9856 0.9769 0.9659 0.9526 0.93713 1.0000 0.9999 0.9997 0.9992 0.9982 0.9966 0.9942 0.9909 0.98654 1.0000 1.0000 0.9999 0.9998 0.9996 0.9992 0.9986 0.99775 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.99976 1.0000 1.0000 1.0000ตารางสถิติ 3 ความนา จะเปน สะสมปวสซ อง P(X ≤ r) = r ∑= r e−µ µ x (ตอ) ∑ Pois(x; µ) x=0 x=0 x! µr 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.00 0.3679 0.2231 0.1353 0.0821 0.0498 0.0302 0.0183 0.0111 0.00671 0.7358 0.5578 0.4060 0.2873 0.1991 0.1359 0.0916 0.0611 0.04042 0.9197 0.8088 0.6767 0.5438 0.4232 0.3208 0.2381 0.1736 0.12473 0.9810 0.9344 0.8571 0.7576 0.6472 0.5366 0.4335 0.3423 0.26504 0.9963 0.9814 0.9473 0.8912 0.8153 0.7254 0.6288 0.5321 0.44055 0.9994 0.9955 0.9834 0.9580 0.9161 0.8576 0.7851 0.7029 0.61606 0.9999 0.9991 0.9955 0.9858 0.9665 0.9347 0.8893 0.8311 0.76227 1.0000 0.9998 0.9989 0.9958 0.9881 0.9733 0.9489 0.9134 0.86668 1.0000 0.9998 0.9989 0.9962 0.9901 0.9786 0.9597 0.93199 1.0000 0.9997 0.9989 0.9967 0.9919 0.9829 0.968210 0.9999 0.9997 0.9990 0.9972 0.9933 0.986311 1.0000 0.9999 0.9997 0.9991 0.9976 0.994512 1.0000 0.9999 0.9997 0.9992 0.998013 1.0000 0.9999 0.9997 0.999314 1.0000 0.9999 0.999815 1.0000 0.999916 1.0000

ผนวก 5ตารางสถิติ 3 ความนาจะเปน สะสมปว สซ อง P(X ≤ r) = r ∑= r e−µ µ x (ตอ ) ∑ Pois(x; µ) x=0 x=0 x! µr 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.50 0.0041 0.0025 0.0015 0.0009 0.0006 0.0003 0.0002 0.0001 0.00011 0.0266 0.0174 0.0113 0.0073 0.0047 0.0030 0.0019 0.0012 0.00082 0.0884 0.0620 0.0430 0.0296 0.0203 0.0138 0.0093 0.0062 0.00423 0.2017 0.1512 0.1118 0.0818 0.0591 0.0424 0.0301 0.0212 0.01494 0.3575 0.2851 0.2237 0.1730 0.1321 0.0996 0.0744 0.0550 0.04035 0.5289 0.4457 0.3690 0.3007 0.2414 0.1912 0.1496 0.1157 0.08856 0.6860 0.6063 0.5265 0.4497 0.3782 0.3134 0.2562 0.2068 0.16497 0.8095 0.7440 0.6728 0.5987 0.5246 0.4530 0.3856 0.3239 0.26878 0.8944 0.8472 0.7916 0.7291 0.6620 0.5925 0.5231 0.4557 0.39189 0.9462 0.9161 0.8774 0.8305 0.7764 0.7166 0.6530 0.5874 0.521810 0.9747 0.9574 0.9332 0.9015 0.8622 0.8159 0.7634 0.7060 0.645311 0.9890 0.9799 0.9661 0.9467 0.9208 0.8881 0.8487 0.8030 0.752012 0.9955 0.9912 0.9840 0.9730 0.9573 0.9362 0.9091 0.8758 0.836413 0.9983 0.9964 0.9929 0.9872 0.9784 0.9658 0.9486 0.9261 0.898114 0.9994 0.9986 0.9970 0.9943 0.9897 0.9827 0.9726 0.9585 0.940015 0.9998 0.9995 0.9988 0.9976 0.9954 0.9918 0.9862 0.9780 0.966516 0.9999 0.9998 0.9996 0.9990 0.9980 0.9963 0.9934 0.9889 0.982317 1.0000 0.9999 0.9998 0.9996 0.9992 0.9984 0.9970 0.9947 0.991118 1.0000 0.9999 0.9999 0.9997 0.9993 0.9987 0.9976 0.995719 1.0000 1.0000 0.9999 0.9997 0.9995 0.9989 0.998020 1.0000 0.9999 0.9998 0.9996 0.999121 1.0000 0.9999 0.9998 0.999622 1.0000 0.9999 0.999923 1.0000 0.999924 1.0000

ผนวก 6ตารางสถติ ิ 3 ความนาจะเปน สะสมปว สซ อง P(X ≤ r) = r ∑= r e−µ µ x (ตอ ) ∑ Pois(x; µ) x=0 x=0 x! µr 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.01 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.00002 0.0005 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.00003 0.0028 0.0012 0.0005 0.0002 0.0001 0.0000 0.0000 0.0000 0.00004 0.0103 0.0049 0.0023 0.0011 0.0005 0.0002 0.0001 0.0000 0.00005 0.0293 0.0151 0.0076 0.0037 0.0018 0.0009 0.0004 0.0002 0.00016 0.0671 0.0375 0.0203 0.0107 0.0055 0.0028 0.0014 0.0007 0.00037 0.1301 0.0786 0.0458 0.0259 0.0142 0.0076 0.0040 0.0021 0.00108 0.2202 0.1432 0.0895 0.0540 0.0316 0.0180 0.0100 0.0054 0.00299 0.3328 0.2320 0.1550 0.0998 0.0621 0.0374 0.0220 0.0126 0.007110 0.4579 0.3405 0.2424 0.1658 0.1094 0.0699 0.0433 0.0261 0.015411 0.5830 0.4599 0.3472 0.2517 0.1757 0.1185 0.0774 0.0491 0.030412 0.6968 0.5793 0.4616 0.3532 0.2600 0.1848 0.1270 0.0847 0.054913 0.7916 0.6887 0.5760 0.4631 0.3585 0.2676 0.1931 0.1350 0.091714 0.8645 0.7813 0.6815 0.5730 0.4644 0.3632 0.2745 0.2009 0.142615 0.9165 0.8540 0.7720 0.6751 0.5704 0.4657 0.3675 0.2808 0.208116 0.9513 0.9074 0.8444 0.7636 0.6694 0.5681 0.4667 0.3715 0.286717 0.9730 0.9441 0.8987 0.8355 0.7559 0.6641 0.5660 0.4677 0.375118 0.9857 0.9678 0.9370 0.8905 0.8272 0.7489 0.6593 0.5640 0.468619 0.9928 0.9823 0.9626 0.9302 0.8826 0.8195 0.7423 0.6550 0.562220 0.9965 0.9907 0.9787 0.9573 0.9235 0.8752 0.8122 0.7363 0.650921 0.9984 0.9953 0.9884 0.9750 0.9521 0.9170 0.8682 0.8055 0.730722 0.9993 0.9977 0.9939 0.9859 0.9712 0.9469 0.9108 0.8615 0.799123 0.9997 0.9990 0.9970 0.9924 0.9833 0.9673 0.9418 0.9047 0.855124 0.9999 0.9995 0.9985 0.9960 0.9907 0.9805 0.9633 0.9367 0.898925 1.0000 0.9998 0.9993 0.9980 0.9950 0.9888 0.9777 0.9594 0.931726 0.9999 0.9997 0.9990 0.9974 0.9938 0.9869 0.9748 0.955427 1.0000 0.9999 0.9995 0.9987 0.9967 0.9925 0.9848 0.971828 0.9999 0.9998 0.9994 0.9983 0.9959 0.9912 0.982729 1.0000 0.9999 0.9997 0.9991 0.9978 0.9950 0.989730 1.0000 0.9999 0.9996 0.9989 0.9973 0.994131 0.9999 0.9998 0.9994 0.9986 0.996732 1.0000 0.9999 0.9997 0.9993 0.998233 1.0000 0.9999 0.9996 0.999034 0.9999 0.9998 0.999535 1.0000 0.9999 0.9998

ผนวก 7ตารางสถติ ิ 4 พืน้ ท่ใี ตเสนโคงปรกติมาตรฐาน P(0 < Z < z) 0z01234567890.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.03590.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.07530.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.11410.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.15170.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.18790.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.22240.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.25490.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.28520.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.31330.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.33891.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.36211.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.38301.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.40151.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.41771.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.43191.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.44411.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.45451.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.46331.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.47061.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.47672.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.48172.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.48572.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.48902.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.49162.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.49362.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.49522.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.49642.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.49742.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.49812.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.49863.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.49903.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.49933.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.49953.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.49973.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.49983.5 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.49983.6 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.7 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.8 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.9 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000

ผนวก 8 ตารางสถิติ 5 คา t ณ ระดบั นัยสําคญั α α tα , (ν )ν α 0.100 0.050 0.025 0.020 0 0.0051 3.0777 6.3138 12.7062 15.8945 0.010 63.65672 1.8856 2.9200 4.3027 4.8487 31.8205 9.92483 1.6377 2.3534 3.1824 3.4819 6.9646 5.84094 1.5332 2.1318 2.7764 2.9985 4.5407 4.60415 1.4759 2.0150 2.5706 2.7565 3.7469 4.03216 1.4398 1.9432 2.4469 2.6122 3.3649 3.70747 1.4149 1.8946 2.3646 2.5168 3.1427 3.49958 1.3968 1.8595 2.3060 2.4490 2.9980 3.35549 1.3830 1.8331 2.2622 2.3984 2.8965 3.249810 1.3722 1.8125 2.2281 2.3593 2.8214 3.169311 1.3634 1.7959 2.2010 2.3281 2.7638 3.105812 1.3562 1.7823 2.1788 2.3027 2.7181 3.054513 1.3502 1.7709 2.1604 2.2816 2.6810 3.012314 1.3450 1.7613 2.1448 2.2638 2.6503 2.976815 1.3406 1.7531 2.1314 2.2485 2.6245 2.946716 1.3368 1.7459 2.1199 2.2354 2.6025 2.920817 1.3334 1.7396 2.1098 2.2238 2.5835 2.898218 1.3304 1.7341 2.1009 2.2137 2.5669 2.878419 1.3277 1.7291 2.0930 2.2047 2.5524 2.860920 1.3253 1.7247 2.0860 2.1967 2.5395 2.845321 1.3232 1.7207 2.0796 2.1894 2.5280 2.831422 1.3212 1.7171 2.0739 2.1829 2.5176 2.818823 1.3195 1.7139 2.0687 2.1770 2.5083 2.807324 1.3178 1.7109 2.0639 2.1715 2.4999 2.796925 1.3163 1.7081 2.0595 2.1666 2.4922 2.787426 1.3150 1.7056 2.0555 2.1620 2.4851 2.778727 1.3137 1.7033 2.0518 2.1578 2.4786 2.770728 1.3125 1.7011 2.0484 2.1539 2.4727 2.763329 1.3114 1.6991 2.0452 2.1503 2.4671 2.756430 1.3104 1.6973 2.0423 2.1470 2.4620 2.7500 2.457335 1.3062 1.6896 2.0301 2.1332 2.723840 1.3031 1.6839 2.0211 2.1229 2.4377 2.704545 1.3006 1.6794 2.0141 2.1150 2.4233 2.689650 1.2987 1.6759 2.0086 2.1087 2.4121 2.677860 1.2958 1.6706 2.0003 2.0994 2.4033 2.660370 1.2938 1.6669 1.9944 2.0927 2.3901 2.647980 1.2922 1.6641 1.9901 2.0878 2.3808 2.638790 1.2910 1.6620 1.9867 2.0839 2.3739 2.6316100 1.2901 1.6602 1.9840 2.0809 2.3685 2.6259120 1.2886 1.6577 1.9799 2.0763 2.3642 2.6174140 1.2876 1.6558 1.9771 2.0731 2.3578 2.6114160 1.2869 1.6544 1.9749 2.0706 2.3533 2.6069200 1.2858 1.6525 1.9719 2.0672 2.3499 2.6006∞ 1.282 1.645 1.9600 2.0537 2.3451 2.5758 2.3264

ผนวก 9ตารางสถติ ิ 6 คา χ2 ณ ระดบั นยั สาํ คญั α α χ0 2 α , (ν )να 0.995 0.990 0.980 0.975 0.950 0.900 0.100 0.050 0.025 0.020 0.010 0.005 1 0.000 0.000 0.001 0.001 0.004 0.016 2.706 3.841 5.024 5.412 6.635 7.879 2 0.010 0.020 0.040 0.051 0.103 0.211 4.605 5.991 7.378 7.824 9.210 10.597 3 0.072 0.115 0.185 0.216 0.352 0.584 6.251 7.815 9.348 9.837 11.345 12.838 4 0.207 0.297 0.429 0.484 0.711 1.064 7.779 9.488 11.143 11.668 13.277 14.860 5 0.412 0.554 0.752 0.831 1.145 1.610 9.236 11.070 12.833 13.388 15.086 16.750 6 0.676 0.872 1.134 1.237 1.635 2.204 10.645 12.592 14.449 15.033 16.812 18.548 7 0.989 1.239 1.564 1.690 2.167 2.833 12.017 14.067 16.013 16.622 18.475 20.278 8 1.344 1.646 2.032 2.180 2.733 3.490 13.362 15.507 17.535 18.168 20.090 21.955 9 1.735 2.088 2.532 2.700 3.325 4.168 14.684 16.919 19.023 19.679 21.666 23.589 10 2.156 2.558 3.059 3.247 3.940 4.865 15.987 18.307 20.483 21.161 23.209 25.188 11 2.603 3.053 3.609 3.816 4.575 5.578 17.275 19.675 21.920 22.618 24.725 26.757 12 3.074 3.571 4.178 4.404 5.226 6.304 18.549 21.026 23.337 24.054 26.217 28.300 13 3.565 4.107 4.765 5.009 5.892 7.042 19.812 22.362 24.736 25.472 27.688 29.819 14 4.075 4.660 5.368 5.629 6.571 7.790 21.064 23.685 26.119 26.873 29.141 31.319 15 4.601 5.229 5.985 6.262 7.261 8.547 22.307 24.996 27.488 28.259 30.578 32.801 16 5.142 5.812 6.614 6.908 7.962 9.312 23.542 26.296 28.845 29.633 32.000 34.267 17 5.697 6.408 7.255 7.564 8.672 10.085 24.769 27.587 30.191 30.995 33.409 35.718 18 6.265 7.015 7.906 8.231 9.390 10.865 25.989 28.869 31.526 32.346 34.805 37.156 19 6.844 7.633 8.567 8.907 10.117 11.651 27.204 30.144 32.852 33.687 36.191 38.582 20 7.434 8.260 9.237 9.591 10.851 12.443 28.412 31.410 34.170 35.020 37.566 39.997 21 8.034 8.897 9.915 10.283 11.591 13.240 29.615 32.671 35.479 36.343 38.932 41.401 22 8.643 9.542 10.600 10.982 12.338 14.041 30.813 33.924 36.781 37.659 40.289 42.796 23 9.260 10.196 11.293 11.689 13.091 14.848 32.007 35.172 38.076 38.968 41.638 44.181 24 9.886 10.856 11.992 12.401 13.848 15.659 33.196 36.415 39.364 40.270 42.980 45.559 25 10.520 11.524 12.697 13.120 14.611 16.473 34.382 37.652 40.646 41.566 44.314 46.928 26 11.160 12.198 13.409 13.844 15.379 17.292 35.563 38.885 41.923 42.856 45.642 48.290 27 11.808 12.879 14.125 14.573 16.151 18.114 36.741 40.113 43.195 44.140 46.963 49.645 28 12.461 13.565 14.847 15.308 16.928 18.939 37.916 41.337 44.461 45.419 48.278 50.993 29 13.121 14.256 15.574 16.047 17.708 19.768 39.087 42.557 45.722 46.693 49.588 52.336 30 13.787 14.953 16.306 16.791 18.493 20.599 40.256 43.773 46.979 47.962 50.892 53.672 31 14.458 15.655 17.042 17.539 19.281 21.434 41.422 44.985 48.232 49.226 52.191 55.003 32 15.134 16.362 17.783 18.291 20.072 22.271 42.585 46.194 49.480 50.487 53.486 56.328 33 15.815 17.074 18.527 19.047 20.867 23.110 43.745 47.400 50.725 51.743 54.776 57.648 34 16.501 17.789 19.275 19.806 21.664 23.952 44.903 48.602 51.966 52.995 56.061 58.964 35 17.192 18.509 20.027 20.569 22.465 24.797 46.059 49.802 53.203 54.244 57.342 60.275 36 17.887 19.233 20.783 21.336 23.269 25.643 47.212 50.998 54.437 55.489 58.619 61.581 37 18.586 19.960 21.542 22.106 24.075 26.492 48.363 52.192 55.668 56.730 59.893 62.883 38 19.289 20.691 22.304 22.878 24.884 27.343 49.513 53.384 56.896 57.969 61.162 64.181 39 19.996 21.426 23.069 23.654 25.695 28.196 50.660 54.572 58.120 59.204 62.428 65.476 40 20.707 22.164 23.838 24.433 26.509 29.051 51.805 55.758 59.342 60.436 63.691 66.766

ผนวก 10 ตารางสถติ ิ 7 คา Fα; (ν1,ν2) ณ ระดบั นยั สําคญั α α 0 Fα ; (ν1,ν 2 )ν2 α 1 2 3 ν1 7 8 9 10 456 60.191 0.100 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.860.050 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.880.025 647.79 799.50 864.16 899.58 921.85 937.11 948.22 956.66 963.28 968.630.010 4052.18 4999.50 5403.35 5624.58 5763.65 5858.99 5928.36 5981.07 6022.47 6055.850.005 16210.72 19999.50 21614.74 22499.58 23055.80 23437.11 23714.57 23925.41 24091.002 0.100 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 24224.490.050 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.380.025 38.51 39.00 39.17 39.25 39.30 39.33 39.36 39.37 39.39 9.390.010 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 19.400.005 198.50 199.00 199.17 199.25 199.30 199.33 199.36 199.37 199.39 39.403 0.100 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 99.400.050 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 199.400.025 17.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47 5.230.010 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 8.790.005 55.55 49.80 47.47 46.19 45.39 44.84 44.43 44.13 43.88 14.424 0.100 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 27.230.050 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 43.690.025 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8.98 8.90 3.920.010 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 5.960.005 31.33 26.28 24.26 23.15 22.46 21.97 21.62 21.35 21.14 8.845 0.100 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 14.550.050 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 20.970.025 10.01 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 3.300.010 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 4.740.005 22.78 18.31 16.53 15.56 14.94 14.51 14.20 13.96 13.77 6.626 0.100 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 10.050.050 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 13.620.025 8.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52 2.940.010 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 4.060.005 18.63 14.54 12.92 12.03 11.46 11.07 10.79 10.57 10.39 5.467 0.100 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 7.870.050 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 10.250.025 8.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82 2.700.010 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 3.640.005 16.24 12.40 10.88 10.05 9.52 9.16 8.89 8.68 8.51 4.76 6.62 8.38

ผนวก 11 ตารางสถิติ 7 คา Fα;(ν1,ν2) ณ ระดับนัยสาํ คัญ α (ตอ)ν2 α 1 2 3 ν1 7 8 9 10 4568 0.100 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 2.540.050 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.350.025 7.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36 4.300.010 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.810.005 14.69 11.04 9.60 8.81 8.30 7.95 7.69 7.50 7.34 7.219 0.100 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 2.420.050 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.140.025 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 3.960.010 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.260.005 13.61 10.11 8.72 7.96 7.47 7.13 6.88 6.69 6.54 6.4210 0.100 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.320.050 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.980.025 6.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78 3.720.010 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.850.005 12.83 9.43 8.08 7.34 6.87 6.54 6.30 6.12 5.97 5.8511 0.100 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 2.250.050 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.850.025 6.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59 3.530.010 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.540.005 12.23 8.91 7.60 6.88 6.42 6.10 5.86 5.68 5.54 5.4212 0.100 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.190.050 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.750.025 6.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44 3.370.010 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.300.005 11.75 8.51 7.23 6.52 6.07 5.76 5.52 5.35 5.20 5.0913 0.100 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.140.050 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 2.670.025 6.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31 3.250.010 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.100.005 11.37 8.19 6.93 6.23 5.79 5.48 5.25 5.08 4.94 4.8214 0.100 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 2.100.050 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.600.025 6.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21 3.150.010 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 3.940.005 11.06 7.92 6.68 6.00 5.56 5.26 5.03 4.86 4.72 4.6015 0.100 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 2.060.050 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64 2.59 2.540.025 6.20 4.77 4.15 3.80 3.58 3.41 3.29 3.20 3.12 3.060.010 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.800.005 10.80 7.70 6.48 5.80 5.37 5.07 4.85 4.67 4.54 4.42

ผนวก 12 ตารางสถิติ 7 คา Fα;(ν1,ν2) ณ ระดบั นยั สําคญั α (ตอ)ν2 α 1 2 3 ν1 6 7 8 9 10 4516 0.100 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 2.03 0.050 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.49 0.025 6.12 4.69 4.08 3.73 3.50 3.34 3.22 3.12 3.05 2.99 0.010 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.69 0.005 10.58 7.51 6.30 5.64 5.21 4.91 4.69 4.52 4.38 4.2717 0.100 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.00 0.050 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 2.45 0.025 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 2.92 0.010 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.59 0.005 10.38 7.35 6.16 5.50 5.07 4.78 4.56 4.39 4.25 4.1418 0.100 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.98 0.050 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 2.41 0.025 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 2.87 0.010 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.51 0.005 10.22 7.21 6.03 5.37 4.96 4.66 4.44 4.28 4.14 4.0319 0.100 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.96 0.050 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 2.38 0.025 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 2.82 0.010 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.43 0.005 10.07 7.09 5.92 5.27 4.85 4.56 4.34 4.18 4.04 3.9320 0.100 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 1.94 0.050 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 2.35 0.025 5.87 4.46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 2.77 0.010 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.37 0.005 9.94 6.99 5.82 5.17 4.76 4.47 4.26 4.09 3.96 3.8521 0.100 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 1.92 0.050 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.32 0.025 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 2.73 0.010 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.31 0.005 9.83 6.89 5.73 5.09 4.68 4.39 4.18 4.01 3.88 3.7722 0.100 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 1.90 0.050 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 2.30 0.025 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 2.70 0.010 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 0.005 9.73 6.81 5.65 5.02 4.61 4.32 4.11 3.94 3.81 3.7023 0.100 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 1.89 0.050 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 2.27 0.025 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 2.67 0.010 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.21 0.005 9.63 6.73 5.58 4.95 4.54 4.26 4.05 3.88 3.75 3.6424 0.100 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 1.88 0.050 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 2.25 0.025 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 2.64 0.010 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.17 0.005 9.55 6.66 5.52 4.89 4.49 4.20 3.99 3.83 3.69 3.5925 0.100 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 1.87 0.050 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 2.24 0.025 5.69 4.29 3.69 3.35 3.13 2.97 2.85 2.75 2.68 2.61 0.010 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.13 0.005 9.48 6.60 5.46 4.84 4.43 4.15 3.94 3.78 3.64 3.54

ผนวก 13 ตารางสถติ ิ 7 คา Fα;(ν1,ν2) ณ ระดับนยั สําคญั α (ตอ)ν 2 α 1 2 3 4 ν15 6 7 8 9 1026 0.100 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92 1.88 1.86 0.050 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32 2.27 2.22 0.025 5.66 4.27 3.67 3.33 3.10 2.94 2.82 2.73 2.65 2.59 0.010 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29 3.18 3.09 0.005 9.41 6.54 5.41 4.79 4.38 4.10 3.89 3.73 3.60 3.4927 0.100 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91 1.87 1.85 0.050 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31 2.25 2.20 0.025 5.63 4.24 3.65 3.31 3.08 2.92 2.80 2.71 2.63 2.57 0.010 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26 3.15 3.06 0.005 9.34 6.49 5.36 4.74 4.34 4.06 3.85 3.69 3.56 3.4528 0.100 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90 1.87 1.84 0.050 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29 2.24 2.19 0.025 5.61 4.22 3.63 3.29 3.06 2.90 2.78 2.69 2.61 2.55 0.010 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23 3.12 3.03 0.005 9.28 6.44 5.32 4.70 4.30 4.02 3.81 3.65 3.52 3.4129 0.100 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89 1.86 1.83 0.050 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 2.18 0.025 5.59 4.20 3.61 3.27 3.04 2.88 2.76 2.67 2.59 2.53 0.010 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20 3.09 3.00 0.005 9.23 6.40 5.28 4.66 4.26 3.98 3.77 3.61 3.48 3.3830 0.100 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88 1.85 1.82 0.050 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.16 0.025 5.57 4.18 3.59 3.25 3.03 2.87 2.75 2.65 2.57 2.51 0.010 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.98 0.005 9.18 6.35 5.24 4.62 4.23 3.95 3.74 3.58 3.45 3.3440 0.100 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 1.76 0.050 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 0.025 5.42 4.05 3.46 3.13 2.90 2.74 2.62 2.53 2.45 2.39 0.010 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.80 0.005 8.83 6.07 4.98 4.37 3.99 3.71 3.51 3.35 3.22 3.1250 0.100 2.81 2.41 2.20 2.06 1.97 1.90 1.84 1.80 1.76 1.73 0.050 4.03 3.18 2.79 2.56 2.40 2.29 2.20 2.13 2.07 2.03 0.025 5.34 3.97 3.39 3.05 2.83 2.67 2.55 2.46 2.38 2.32 0.010 7.17 5.06 4.20 3.72 3.41 3.19 3.02 2.89 2.78 2.70 0.005 8.63 5.90 4.83 4.23 3.85 3.58 3.38 3.22 3.09 2.9960 0.100 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 1.71 0.050 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 1.99 0.025 5.29 3.93 3.34 3.01 2.79 2.63 2.51 2.41 2.33 2.27 0.010 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.63 0.005 8.49 5.79 4.73 4.14 3.76 3.49 3.29 3.13 3.01 2.90120 0.100 2.75 2.35 2.13 1.99 1.90 1.82 1.77 1.72 1.68 1.65 0.050 3.92 3.07 2.68 2.45 2.29 2.18 2.09 2.02 1.96 1.91 0.025 5.15 3.80 3.23 2.89 2.67 2.52 2.39 2.30 2.22 2.16 0.010 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 0.005 8.18 5.54 4.50 3.92 3.55 3.28 3.09 2.93 2.81 2.71∞ 0.100 2.71 2.30 2.08 1.95 1.85 1.78 1.72 1.67 1.63 1.60 0.050 3.84 3.00 2.61 2.37 2.22 2.10 2.01 1.94 1.88 1.83 0.025 5.03 3.69 3.12 2.79 2.57 2.41 2.29 2.19 2.12 2.05 0.010 6.64 4.61 3.79 3.32 3.02 2.81 2.64 2.51 2.41 2.32 0.005 7.89 5.30 4.28 3.72 3.35 3.10 2.90 2.75 2.63 2.52

ผนวก 14 ตารางสถติ ิ 7 คา Fα;(ν1,ν2) ณ ระดบั นัยสําคญั α (ตอ)ν2 α ν1 11 12 13 14 15 20 25 30 35 40 50 608 0.100 2.52 2.50 2.49 2.48 2.46 2.42 2.40 2.38 2.37 2.36 2.35 2.340.050 3.31 3.28 3.26 3.24 3.22 3.15 3.11 3.08 3.06 3.04 3.02 3.010.025 4.24 4.20 4.16 4.13 4.10 4.00 3.94 3.89 3.86 3.84 3.81 3.780.010 5.73 5.67 5.61 5.56 5.52 5.36 5.26 5.20 5.15 5.12 5.07 5.030.005 7.10 7.01 6.94 6.87 6.81 6.61 6.48 6.40 6.33 6.29 6.22 6.189 0.100 2.40 2.38 2.36 2.35 2.34 2.30 2.27 2.25 2.24 2.23 2.22 2.210.050 3.10 3.07 3.05 3.03 3.01 2.94 2.89 2.86 2.84 2.83 2.80 2.790.025 3.91 3.87 3.83 3.80 3.77 3.67 3.60 3.56 3.53 3.51 3.47 3.450.010 5.18 5.11 5.05 5.01 4.96 4.81 4.71 4.65 4.60 4.57 4.52 4.480.005 6.31 6.23 6.15 6.09 6.03 5.83 5.71 5.62 5.56 5.52 5.45 5.4110 0.100 2.30 2.28 2.27 2.26 2.24 2.20 2.17 2.16 2.14 2.13 2.12 2.110.050 2.94 2.91 2.89 2.86 2.85 2.77 2.73 2.70 2.68 2.66 2.64 2.620.025 3.66 3.62 3.58 3.55 3.52 3.42 3.35 3.31 3.28 3.26 3.22 3.200.010 4.77 4.71 4.65 4.60 4.56 4.41 4.31 4.25 4.20 4.17 4.12 4.080.005 5.75 5.66 5.59 5.53 5.47 5.27 5.15 5.07 5.01 4.97 4.90 4.8611 0.100 2.23 2.21 2.19 2.18 2.17 2.12 2.10 2.08 2.06 2.05 2.04 2.030.050 2.82 2.79 2.76 2.74 2.72 2.65 2.60 2.57 2.55 2.53 2.51 2.490.025 3.47 3.43 3.39 3.36 3.33 3.23 3.16 3.12 3.09 3.06 3.03 3.000.010 4.46 4.40 4.34 4.29 4.25 4.10 4.01 3.94 3.89 3.86 3.81 3.780.005 5.32 5.24 5.16 5.10 5.05 4.86 4.74 4.65 4.60 4.55 4.49 4.4512 0.100 2.17 2.15 2.13 2.12 2.10 2.06 2.03 2.01 2.00 1.99 1.97 1.960.050 2.72 2.69 2.66 2.64 2.62 2.54 2.50 2.47 2.44 2.43 2.40 2.380.025 3.32 3.28 3.24 3.21 3.18 3.07 3.01 2.96 2.93 2.91 2.87 2.850.010 4.22 4.16 4.10 4.05 4.01 3.86 3.76 3.70 3.65 3.62 3.57 3.540.005 4.99 4.91 4.84 4.77 4.72 4.53 4.41 4.33 4.27 4.23 4.17 4.1213 0.100 2.12 2.10 2.08 2.07 2.05 2.01 1.98 1.96 1.94 1.93 1.92 1.900.050 2.63 2.60 2.58 2.55 2.53 2.46 2.41 2.38 2.36 2.34 2.31 2.300.025 3.20 3.15 3.12 3.08 3.05 2.95 2.88 2.84 2.80 2.78 2.74 2.720.010 4.02 3.96 3.91 3.86 3.82 3.66 3.57 3.51 3.46 3.43 3.38 3.340.005 4.72 4.64 4.57 4.51 4.46 4.27 4.15 4.07 4.01 3.97 3.91 3.8714 0.100 2.07 2.05 2.04 2.02 2.01 1.96 1.93 1.91 1.90 1.89 1.87 1.860.050 2.57 2.53 2.51 2.48 2.46 2.39 2.34 2.31 2.28 2.27 2.24 2.220.025 3.09 3.05 3.01 2.98 2.95 2.84 2.78 2.73 2.70 2.67 2.64 2.610.010 3.86 3.80 3.75 3.70 3.66 3.51 3.41 3.35 3.30 3.27 3.22 3.180.005 4.51 4.43 4.36 4.30 4.25 4.06 3.94 3.86 3.80 3.76 3.70 3.6615 0.100 2.04 2.02 2.00 1.99 1.97 1.92 1.89 1.87 1.86 1.85 1.83 1.820.050 2.51 2.48 2.45 2.42 2.40 2.33 2.28 2.25 2.22 2.20 2.18 2.160.025 3.01 2.96 2.92 2.89 2.86 2.76 2.69 2.64 2.61 2.59 2.55 2.520.010 3.73 3.67 3.61 3.56 3.52 3.37 3.28 3.21 3.17 3.13 3.08 3.050.005 4.33 4.25 4.18 4.12 4.07 3.88 3.77 3.69 3.63 3.58 3.52 3.48

ผนวก 15 ตารางสถิติ 7 คา Fα;(ν1,ν2) ณ ระดับนัยสาํ คัญ α (ตอ)ν2 α ν1 11 12 13 14 15 20 25 30 35 40 50 6016 0000....100002510005 24322.....1946086321 43221.....1854929509 23421.....4058950307 22331.....9843925775 32321.....3974912594 23231.....2627836889 33221.....2661826136 32231.....5115890474 32321.....1450858732 33221.....1450812541 22231.....1394777279 23221.....9143715338 0.00517 00000.....100000051200055 43221.....5804912758 22331.....4893972866 23321.....9473900954 22331.....7833955343 32321.....7373919211 22331.....6612862136 22331.....4051885793 22331.....0451800151 23221.....1349772569 23221.....4193714028 22321.....4028757186 22321.....283076831518 000...100052050 22331.....8439931475 33221.....7833967743 32231.....7373929312 32231.....2772909370 23321.....6226878739 22331.....1055860894 32221.....3419898840 32221.....1349741208 32221.....4208717587 32221.....2083706845 23221.....3170748544 22321.....7031722502 00..00105019 0.100 22331.....3738946643 22331.....7733921061 23321.....2672848089 32231.....6612896548 32321.....5612829356 32231.....4015860101 22231.....1249791418 32221.....2308747916 22321.....8130756504 23221.....0371733163 22231.....7003710041 21231.....9206707780 0000....00000215505020 00000.....100000501205005 22331.....7237996211 32321.....6262883889 32321.....6261848517 32231.....1526850236 32231.....0255800794 22321.....1493762429 32221.....0482770406 23221.....7310748524 32221.....7030711732 23211.....9206729991 21221.....2699676459 22121.....296962125821 0000....100005210500 33221.....6622984880 33221.....6216857407 23231.....6125820246 32321.....5402806784 32321.....5014838333 23221.....1248724808 23221.....7310765394 32221.....3007725112 22121.....6992787790 22121.....9962654659 22121.....9258618847 12221.....1589624586 0.00522 00000.....100000025100505 33221.....1626868518 22331.....5126832046 23321.....2054867074 33221.....4015837123 23221.....5391880651 22231.....1038779836 22321.....3070722363 22121.....9296777880 22121.....6299662248 22121.....5298684187 22211.....5891671325 21221.....517867049423 000...100025050 32321.....2651845247 23231.....5402870774 23231.....5104838123 23221.....1593857051 22321.....9413837300 32221.....1037768524 22321.....0260709901 22121.....2699624269 21221.....8592606737 21221.....8519684126 22121.....7481648864 22211.....8147615162 00..00100524 0.100 32231.....5250802995 23231.....0154842383 32221.....3951805581 23221.....1439807330 22321.....2418795148 23221.....0370764333 22121.....2996776450 21221.....9258617487 21221.....9185613715 22121.....8174659974 21221.....8417661042 12221.....4608660841 0000....00001250050525 00000.....100000205105050 22331.....2045866054 22231.....9315867192 22231.....3419884040 22321.....2814794519 22231.....8042750917 23221.....3070701012 12221.....6299600638 21221.....9518622846 12221.....7148695694 22211.....1487622753 21221.....6804650841 22121.....8063565219

ผนวก16 ตารางสถิติ 7 คา Fα;(ν1,ν2) ณ ระดบั นัยสําคญั α (ตอ )ν2 α 11 12 13 14 15 ν 1 25 30 35 40 50 60 2026 000...100052005 212...185834 212...184519 212...174295 212...074972 212...073769 112...972918 112...962471 112...961056 112...861732 112...860519 112...850295 112...850083 00..001005 33..4020 32..9363 23..2960 32..2860 32..8115 22..6976 22..8575 22..5707 22..4725 22..4672 22..3616 22..356327 00000.....100000051200055 32221.....9135891672 23221.....1924838370 22231.....2184723708 32221.....3801768926 32221.....0371768615 21221.....9692737350 22211.....8915621846 12221.....4817637384 12221.....4861607262 12221.....0386638740 21221.....5083537138 22121.....702552909728 0000....100005210500 22321.....4193895621 23221.....9412750259 32221.....1084789147 23221.....3701796275 32221.....0730744574 12221.....6298630969 21221.....1975661715 22121.....8146691473 22211.....3680648941 12221.....0358595529 21221.....0753503917 21121.....9742576886 0.00529 00000.....100000520100505 22231.....4912889430 23221.....1428713078 22231.....8031751986 23221.....0037779565 32221.....3007724333 12221.....8295616748 12221.....8714644984 21221.....4680669512 12221.....0863630660 12221.....8350513368 21211.....4792577996 22111.....429756355530 00000.....100000215000550 22231.....2914731569 32221.....1480714987 32221.....0173791675 23221.....0073746444 22321.....0037711012 12221.....5892625307 22121.....7418651823 12221.....0863693471 12221.....0835547419 12221.....3705521097 12121.....2749566755 21121.....924754214440 0.100 22321.....3700743334 22221.....9620769501 22211.....8296775190 12221.....5289651368 22121.....1579628286 22121.....8603674701 21211.....7942597887 21211.....2479544004 11221.....7391524052 21121.....1368589101 22111.....0682466338 12121.....6801482047 0000....00005012055050 00000.....100000150200505 21221.....6299703960 21221.....2589662258 22121.....1579661286 12221.....4871604694 22211.....8146652173 12121.....7429579877 12121.....9173537253 12211.....8261509770 21121.....6028453168 12211.....1806406316 11211.....6197450054 21111.....950748512260 0000....100002510050 22121.....8259662258 12221.....7519627046 22121.....6418639484 12221.....3608669922 21221.....5308656470 11221.....9273549054 22111.....2186597700 12211.....8160453298 11211.....6917483285 11121.....9075448494 11121.....5870406811 11111.....9865437460 0.005120 00000.....100000251005050 21221.....1648602703 21221.....8053634540 22211.....4208588108 11221.....2974583826 12121.....7931547595 21121.....6018462398 12111.....0769407354 11111.....6859486951 11111.....6985322519 11111.....7658307167 11111.....7458360064 11111.....7654333652∞ 00000.....100000250100550 11222.....5742070954 11212.....5913755956 11221.....5391730231 12112.....5082619947 12121.....4081694479 12111.....4087528071 11111.....3758688381 11111.....3745747960 11111.....3465722334 11111.....3646400079 11111.....2543575933 11111.....2353448429

ผนวก 17 ตารางสถติ ิ 8 (ก) คา ขอบเขตบน ( qα , a, n−a ) ณ α = 0.05 สําหรบั Tukey HSD จํานวนทรที เมนต (a)ν 2 3 4 5 6 7 8 9 102 6.08 8.33 9.80 10.88 11.73 12.43 13.03 13.54 13.993 4.50 5.91 6.82 7.50 8.04 8.48 8.85 9.18 9.464 3.93 5.04 5.76 6.29 6.71 7.05 7.35 7.60 7.835 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.996 3.46 4.34 4.90 5.30 5.63 5.90 6.12 6.32 6.497 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.168 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.929 3.20 3.95 4.41 4.76 5.02 5.24 5.43 5.59 5.7410 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.6011 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.4912 3.08 3.77 4.20 4.51 4.75 4.95 5.12 5.27 5.3913 3.06 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.3214 3.03 3.70 4.11 4.41 4.64 4.83 4.99 5.13 5.2515 3.01 3.67 4.08 4.37 4.59 4.78 4.94 5.08 5.2016 3.00 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.1517 2.98 3.63 4.02 4.30 4.52 4.70 4.86 4.99 5.1118 2.97 3.61 4.00 4.28 4.49 4.67 4.82 4.96 5.0719 2.96 3.59 3.98 4.25 4.47 4.65 4.79 4.92 5.0420 2.95 3.58 3.96 4.23 4.45 4.62 4.77 4.90 5.0124 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.9230 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.8240 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.63 4.7350 2.84 3.42 3.76 4.00 4.19 4.34 4.47 4.58 4.68

ผนวก 18 ตารางสถติ ิ 8 (ก) คา ขอบเขตบน ( qα , a, n−a ) ณ α = 0.05 สําหรับ Tukey HSD (ตอ ) จาํ นวนทรที เมนต (a)ν 11 12 13 14 15 16 17 18 19 202 14.40 14.76 15.09 15.39 15.67 15.92 16.16 16.38 16.59 16.783 9.72 9.95 10.15 10.35 10.52 10.69 10.84 10.98 11.11 11.244 8.03 8.21 8.37 8.52 8.66 8.79 8.91 9.03 9.13 9.235 7.17 7.32 7.47 7.60 7.72 7.83 7.93 8.03 8.12 8.216 6.65 6.79 6.92 7.03 7.14 7.24 7.34 7.43 7.51 7.597 6.30 6.43 6.55 6.66 6.76 6.85 6.94 7.02 7.10 7.178 6.05 6.18 6.29 6.39 6.48 6.57 6.65 6.73 6.80 6.879 5.87 5.98 6.09 6.19 6.28 6.36 6.44 6.51 6.58 6.6410 5.72 5.83 5.93 6.03 6.11 6.19 6.27 6.34 6.40 6.4711 5.61 5.71 5.81 5.90 5.98 6.06 6.13 6.20 6.27 6.3312 5.51 5.61 5.71 5.80 5.88 5.95 6.02 6.09 6.15 6.2113 5.43 5.53 5.63 5.71 5.79 5.86 5.93 5.99 6.05 6.1114 5.36 5.46 5.55 5.64 5.71 5.79 5.85 5.91 5.97 6.0315 5.31 5.40 5.49 5.57 5.65 5.72 5.78 5.85 5.90 5.9616 5.26 5.35 5.44 5.52 5.59 5.66 5.73 5.79 5.84 5.9017 5.21 5.31 5.39 5.47 5.54 5.61 5.67 5.73 5.79 5.8418 5.17 5.27 5.35 5.43 5.50 5.57 5.63 5.69 5.74 5.7919 5.14 5.23 5.31 5.39 5.46 5.53 5.59 5.65 5.70 5.7520 5.11 5.20 5.28 5.36 5.43 5.49 5.55 5.61 5.66 5.7124 5.01 5.10 5.18 5.25 5.32 5.38 5.44 5.49 5.55 5.5930 4.92 5.00 5.08 5.15 5.21 5.27 5.33 5.38 5.43 5.4740 4.82 4.90 4.98 5.04 5.11 5.16 5.22 5.27 5.31 5.3650 4.77 4.85 4.92 4.98 5.04 5.10 5.15 5.20 5.24 5.29

ผนวก 19 ตารางสถิติ 8 (ข) คาขอบเขตบน ( qα , a, n−a ) ณ α = 0.01 สําหรับ Tukey HSD จาํ นวนทรีทเมนต (a)ν 2 3 4 5 6 7 8 9 102 13.90 19.02 22.56 25.37 27.76 29.86 31.73 33.41 34.933 8.26 10.62 12.17 13.32 14.24 15.00 15.65 16.21 16.714 6.51 8.12 9.17 9.96 10.58 11.10 11.54 11.92 12.265 5.70 6.98 7.80 8.42 8.91 9.32 9.67 9.97 10.246 5.24 6.33 7.03 7.56 7.97 8.32 8.61 8.87 9.107 4.95 5.92 6.54 7.00 7.37 7.68 7.94 8.17 8.378 4.75 5.64 6.20 6.62 6.96 7.24 7.47 7.68 7.869 4.60 5.43 5.96 6.35 6.66 6.91 7.13 7.33 7.4910 4.48 5.27 5.77 6.14 6.43 6.67 6.87 7.05 7.2111 4.39 5.15 5.62 5.97 6.25 6.48 6.67 6.84 6.9912 4.32 5.05 5.50 5.84 6.10 6.32 6.51 6.67 6.8113 4.26 4.96 5.40 5.73 5.98 6.19 6.37 6.53 6.6714 4.21 4.89 5.32 5.63 5.88 6.08 6.26 6.41 6.5415 4.17 4.84 5.25 5.56 5.80 5.99 6.16 6.31 6.4416 4.13 4.79 5.19 5.49 5.72 5.92 6.08 6.22 6.3517 4.10 4.74 5.14 5.43 5.66 5.85 6.01 6.15 6.2718 4.07 4.70 5.09 5.38 5.60 5.79 5.94 6.08 6.2019 4.05 4.67 5.05 5.33 5.55 5.73 5.89 6.02 6.1420 4.02 4.64 5.02 5.29 5.51 5.69 5.84 5.97 6.0924 3.96 4.55 4.91 5.17 5.37 5.54 5.69 5.81 5.9230 3.89 4.45 4.80 5.05 5.24 5.40 5.54 5.65 5.7640 3.82 4.37 4.70 4.93 5.11 5.26 5.39 5.50 5.6050 3.79 4.32 4.63 4.86 5.04 5.19 5.31 5.41 5.51

ผนวก 20ตารางสถติ ิ 8 (ข) คา ขอบเขตบน ( qα , a, n−a ) ณ α = 0.01 สาํ หรับ Tukey HSD (ตอ) จํานวนทรีทเมนต (a)ν 11 12 13 14 15 16 17 18 19 202 36.29 37.53 38.66 39.70 40.66 41.54 42.36 43.13 43.85 44.533 17.16 17.57 17.95 18.29 18.62 18.91 19.20 19.46 19.71 19.954 12.57 12.84 13.09 13.32 13.53 13.72 13.91 14.08 14.24 14.395 10.48 10.70 10.89 11.08 11.24 11.40 11.55 11.68 11.81 11.936 9.30 9.48 9.65 9.81 9.95 10.08 10.21 10.32 10.43 10.547 8.55 8.71 8.86 9.00 9.12 9.24 9.35 9.46 9.55 9.658 8.03 8.18 8.31 8.44 8.55 8.66 8.76 8.85 8.94 9.039 7.65 7.78 7.91 8.03 8.13 8.23 8.33 8.41 8.49 8.5710 7.36 7.49 7.60 7.71 7.81 7.91 7.99 8.08 8.15 8.2311 7.13 7.25 7.36 7.46 7.56 7.65 7.73 7.81 7.88 7.9512 6.94 7.06 7.17 7.26 7.36 7.44 7.52 7.59 7.66 7.7313 6.79 6.90 7.01 7.10 7.19 7.27 7.35 7.42 7.48 7.5514 6.66 6.77 6.87 6.96 7.05 7.13 7.20 7.27 7.33 7.3915 6.55 6.66 6.76 6.84 6.93 7.00 7.07 7.14 7.20 7.2616 6.46 6.56 6.66 6.74 6.82 6.90 6.97 7.03 7.09 7.1517 6.38 6.48 6.57 6.66 6.73 6.81 6.87 6.94 7.00 7.0518 6.31 6.41 6.50 6.58 6.65 6.73 6.79 6.85 6.91 6.9719 6.25 6.34 6.43 6.51 6.58 6.65 6.72 6.78 6.84 6.8920 6.19 6.28 6.37 6.45 6.52 6.59 6.65 6.71 6.77 6.8224 6.02 6.11 6.19 6.26 6.33 6.39 6.45 6.51 6.56 6.6130 5.85 5.93 6.01 6.08 6.14 6.20 6.26 6.31 6.36 6.4140 5.69 5.76 5.83 5.90 5.96 6.02 6.07 6.12 6.16 6.2150 5.59 5.67 5.73 5.80 5.85 5.91 5.96 6.01 6.05 6.09

( )ตารางสถติ ิ 9 (ก) คาขอบเขตบน tα 2,k,ν ผนวก 21 โดยท่ี P t ≥ tα , k,ν =α 2 สําหรับBonferroni t statistic k 2 3 4 5 6 α = 0.05ν 7 8 9 10 11 12 13 14 155 3.16 3.53 3.81 4.03 4.22 4.38 4.53 4.66 4.77 4.88 4.98 5.08 5.16 5.256 2.97 3.29 3.52 3.71 3.86 4.00 4.12 4.22 4.32 4.40 4.49 4.56 4.63 4.707 2.84 3.13 3.34 3.50 3.64 3.75 3.86 3.95 4.03 4.10 4.17 4.24 4.30 4.368 2.75 3.02 3.21 3.36 3.48 3.58 3.68 3.76 3.83 3.90 3.96 4.02 4.07 4.129 2.69 2.93 3.11 3.25 3.36 3.46 3.55 3.62 3.69 3.75 3.81 3.86 3.91 3.9510 2.63 2.87 3.04 3.17 3.28 3.37 3.45 3.52 3.58 3.64 3.69 3.74 3.79 3.8311 2.59 2.82 2.98 3.11 3.21 3.29 3.37 3.44 3.50 3.55 3.60 3.65 3.69 3.7312 2.56 2.78 2.93 3.05 3.15 3.24 3.31 3.37 3.43 3.48 3.53 3.57 3.61 3.6513 2.53 2.75 2.90 3.01 3.11 3.19 3.26 3.32 3.37 3.42 3.47 3.51 3.55 3.5814 2.51 2.72 2.86 2.98 3.07 3.15 3.21 3.27 3.33 3.37 3.42 3.46 3.49 3.5315 2.49 2.69 2.84 2.95 3.04 3.11 3.18 3.23 3.29 3.33 3.37 3.41 3.45 3.4816 2.47 2.67 2.81 2.92 3.01 3.08 3.15 3.20 3.25 3.30 3.34 3.38 3.41 3.4417 2.46 2.65 2.79 2.90 2.98 3.06 3.12 3.17 3.22 3.27 3.31 3.34 3.38 3.4118 2.45 2.64 2.77 2.88 2.96 3.03 3.09 3.15 3.20 3.24 3.28 3.32 3.35 3.3819 2.43 2.63 2.76 2.86 2.94 3.01 3.07 3.13 3.17 3.22 3.25 3.29 3.32 3.3520 2.42 2.61 2.74 2.85 2.93 3.00 3.06 3.11 3.15 3.20 3.23 3.27 3.30 3.3321 2.41 2.60 2.73 2.83 2.91 2.98 3.04 3.09 3.14 3.18 3.21 3.25 3.28 3.3122 2.41 2.59 2.72 2.82 2.90 2.97 3.02 3.07 3.12 3.16 3.20 3.23 3.26 3.2923 2.40 2.58 2.71 2.81 2.89 2.95 3.01 3.06 3.10 3.14 3.18 3.21 3.25 3.2724 2.39 2.57 2.70 2.80 2.88 2.94 3.00 3.05 3.09 3.13 3.17 3.20 3.23 3.2625 2.38 2.57 2.69 2.79 2.86 2.93 2.99 3.03 3.08 3.12 3.15 3.19 3.22 3.2426 2.38 2.56 2.68 2.78 2.86 2.92 2.98 3.02 3.07 3.11 3.14 3.17 3.20 3.2327 2.37 2.55 2.68 2.77 2.85 2.91 2.97 3.01 3.06 3.10 3.13 3.16 3.19 3.2228 2.37 2.55 2.67 2.76 2.84 2.90 2.96 3.00 3.05 3.09 3.12 3.15 3.18 3.2129 2.36 2.54 2.66 2.76 2.83 2.89 2.95 3.00 3.04 3.08 3.11 3.14 3.17 3.2030 2.36 2.54 2.66 2.75 2.82 2.89 2.94 2.99 3.03 3.07 3.10 3.13 3.16 3.1931 2.36 2.53 2.65 2.74 2.82 2.88 2.93 2.98 3.02 3.06 3.09 3.12 3.15 3.1832 2.35 2.53 2.65 2.74 2.81 2.87 2.93 2.97 3.01 3.05 3.09 3.12 3.15 3.1733 2.35 2.52 2.64 2.73 2.81 2.87 2.92 2.97 3.01 3.05 3.08 3.11 3.14 3.1634 2.35 2.52 2.64 2.73 2.80 2.86 2.92 2.96 3.00 3.04 3.07 3.10 3.13 3.1635 2.34 2.51 2.63 2.72 2.80 2.86 2.91 2.96 3.00 3.03 3.07 3.10 3.12 3.1536 2.34 2.51 2.63 2.72 2.79 2.85 2.90 2.95 2.99 3.03 3.06 3.09 3.12 3.1437 2.34 2.51 2.63 2.72 2.79 2.85 2.90 2.94 2.99 3.02 3.05 3.08 3.11 3.1438 2.33 2.50 2.62 2.71 2.78 2.84 2.90 2.94 2.98 3.02 3.05 3.08 3.11 3.1339 2.33 2.50 2.62 2.71 2.78 2.84 2.89 2.94 2.98 3.01 3.04 3.07 3.10 3.1340 2.33 2.50 2.62 2.70 2.78 2.84 2.89 2.93 2.97 3.01 3.04 3.07 3.10 3.12

ผนวก 22( )ตารางสถิติ 9 (ข)คาขอบเขตบน tα 2,k,ν โดยที่ P t ≥ tα , k,ν =α 2สาํ หรบั Bonferroni t statistic k α = 0.01ν 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 4.77 5.25 5.60 5.89 6.14 6.35 6.54 6.71 6.87 7.01 7.15 7.27 7.39 7.50 6 4.32 4.70 4.98 5.21 5.40 5.56 5.71 5.84 5.96 6.07 6.17 6.26 6.35 6.43 7 4.03 4.36 4.59 4.79 4.94 5.08 5.20 5.31 5.41 5.50 5.58 5.66 5.73 5.80 8 3.83 4.12 4.33 4.50 4.64 4.76 4.86 4.96 5.04 5.12 5.19 5.25 5.32 5.37 9 3.69 3.95 4.15 4.30 4.42 4.53 4.62 4.71 4.78 4.85 4.91 4.97 5.02 5.08 10 3.58 3.83 4.00 4.14 4.26 4.36 4.44 4.52 4.59 4.65 4.71 4.76 4.81 4.85 11 3.50 3.73 3.89 4.02 4.13 4.22 4.30 4.37 4.44 4.49 4.55 4.60 4.64 4.68 12 3.43 3.65 3.81 3.93 4.03 4.12 4.19 4.26 4.32 4.37 4.42 4.47 4.51 4.55 13 3.37 3.58 3.73 3.85 3.95 4.03 4.10 4.16 4.22 4.27 4.32 4.36 4.40 4.44 14 3.33 3.53 3.67 3.79 3.88 3.96 4.03 4.09 4.14 4.19 4.23 4.28 4.31 4.35 15 3.29 3.48 3.62 3.73 3.82 3.90 3.96 4.02 4.07 4.12 4.16 4.20 4.24 4.27 16 3.25 3.44 3.58 3.69 3.77 3.85 3.91 3.96 4.01 4.06 4.10 4.14 4.18 4.21 17 3.22 3.41 3.54 3.65 3.73 3.80 3.86 3.92 3.97 4.01 4.05 4.09 4.12 4.15 18 3.20 3.38 3.51 3.61 3.69 3.76 3.82 3.87 3.92 3.96 4.00 4.04 4.07 4.10 19 3.17 3.35 3.48 3.58 3.66 3.73 3.79 3.84 3.88 3.93 3.96 4.00 4.03 4.06 20 3.15 3.33 3.46 3.55 3.63 3.70 3.75 3.80 3.85 3.89 3.93 3.96 3.99 4.02 21 3.14 3.31 3.43 3.53 3.60 3.67 3.73 3.78 3.82 3.86 3.90 3.93 3.96 3.99 22 3.12 3.29 3.41 3.50 3.58 3.64 3.70 3.75 3.79 3.83 3.87 3.90 3.93 3.96 23 3.10 3.27 3.39 3.48 3.56 3.62 3.68 3.72 3.77 3.81 3.84 3.87 3.90 3.93 24 3.09 3.26 3.38 3.47 3.54 3.60 3.66 3.70 3.75 3.78 3.82 3.85 3.88 3.91 25 3.08 3.24 3.36 3.45 3.52 3.58 3.64 3.68 3.73 3.76 3.80 3.83 3.86 3.88 26 3.07 3.23 3.35 3.43 3.51 3.57 3.62 3.67 3.71 3.74 3.78 3.81 3.84 3.86 27 3.06 3.22 3.33 3.42 3.49 3.55 3.60 3.65 3.69 3.73 3.76 3.79 3.82 3.84 28 3.05 3.21 3.32 3.41 3.48 3.54 3.59 3.63 3.67 3.71 3.74 3.77 3.80 3.83 29 3.04 3.20 3.31 3.40 3.47 3.52 3.58 3.62 3.66 3.70 3.73 3.76 3.79 3.81 30 3.03 3.19 3.30 3.39 3.45 3.51 3.56 3.61 3.65 3.68 3.71 3.74 3.77 3.80 31 3.02 3.18 3.29 3.37 3.44 3.50 3.55 3.59 3.63 3.67 3.70 3.73 3.76 3.78 32 3.01 3.17 3.28 3.37 3.43 3.49 3.54 3.58 3.62 3.66 3.69 3.72 3.74 3.77 33 3.01 3.16 3.27 3.36 3.42 3.48 3.53 3.57 3.61 3.65 3.68 3.71 3.73 3.76 34 3.00 3.16 3.27 3.35 3.42 3.47 3.52 3.56 3.60 3.63 3.67 3.69 3.72 3.75 35 3.00 3.15 3.26 3.34 3.41 3.46 3.51 3.55 3.59 3.63 3.66 3.68 3.71 3.74 36 2.99 3.14 3.25 3.33 3.40 3.45 3.50 3.54 3.58 3.62 3.65 3.67 3.70 3.73 37 2.99 3.14 3.24 3.33 3.39 3.45 3.49 3.54 3.57 3.61 3.64 3.67 3.69 3.72 38 2.98 3.13 3.24 3.32 3.38 3.44 3.49 3.53 3.57 3.60 3.63 3.66 3.68 3.71 39 2.98 3.13 3.23 3.31 3.38 3.43 3.48 3.52 3.56 3.59 3.62 3.65 3.67 3.70 40 2.97 3.12 3.23 3.31 3.37 3.43 3.47 3.51 3.55 3.58 3.61 3.64 3.67 3.69

ผนวก 23 ตารางสถิติ 10 (ก) คา ขอบเขตบน dα,k,ν โดยท่ี P(d ≥ dα,k,ν ) = α สาํ หรบั Dunnett tests k α = 0.05(one-sided)ν 2 3 4 5 6 7 8 9 10 11 12 15 20 5 2.44 2.68 2.85 2.98 3.08 3.16 3.24 3.30 3.36 3.41 3.45 3.57 3.72 6 2.34 2.56 2.71 2.83 2.92 3.00 3.07 3.12 3.17 3.22 3.26 3.37 3.50 7 2.27 2.48 2.62 2.73 2.82 2.89 2.95 3.01 3.05 3.10 3.13 3.23 3.36 8 2.22 2.42 2.55 2.66 2.74 2.81 2.87 2.92 2.96 3.01 3.04 3.14 3.25 9 2.18 2.37 2.50 2.60 2.68 2.75 2.81 2.86 2.90 2.94 2.97 3.06 3.18 10 2.15 2.34 2.47 2.56 2.64 2.70 2.76 2.81 2.85 2.89 2.92 3.01 3.12 11 2.13 2.31 2.44 2.53 2.60 2.67 2.72 2.77 2.81 2.85 2.88 2.96 3.07 12 2.11 2.29 2.41 2.50 2.58 2.64 2.69 2.74 2.78 2.81 2.84 2.93 3.03 13 2.09 2.27 2.39 2.48 2.55 2.61 2.66 2.71 2.75 2.78 2.82 2.90 3.00 14 2.08 2.25 2.37 2.46 2.53 2.59 2.64 2.69 2.72 2.76 2.79 2.87 2.97 15 2.07 2.24 2.36 2.44 2.51 2.57 2.62 2.67 2.70 2.74 2.77 2.85 2.95 16 2.06 2.23 2.34 2.43 2.50 2.56 2.61 2.65 2.69 2.72 2.75 2.83 2.93 17 2.05 2.22 2.33 2.42 2.49 2.54 2.59 2.64 2.67 2.71 2.74 2.81 2.91 18 2.04 2.21 2.32 2.41 2.48 2.53 2.58 2.62 2.66 2.69 2.72 2.80 2.89 19 2.03 2.20 2.31 2.40 2.47 2.52 2.57 2.61 2.65 2.68 2.71 2.79 2.88 20 2.03 2.19 2.30 2.39 2.46 2.51 2.56 2.60 2.64 2.67 2.70 2.77 2.87 24 2.01 2.17 2.28 2.36 2.43 2.48 2.53 2.57 2.60 2.64 2.66 2.74 2.83 30 1.99 2.15 2.25 2.33 2.40 2.45 2.50 2.54 2.57 2.60 2.63 2.70 2.79 40 1.97 2.13 2.23 2.31 2.37 2.42 2.47 2.51 2.54 2.57 2.60 2.67 2.75 60 1.95 2.10 2.21 2.28 2.35 2.39 2.44 2.48 2.51 2.54 2.56 2.63 2.72 120 1.93 2.08 2.18 2.26 2.32 2.37 2.41 2.45 2.48 2.51 2.53 2.60 2.68 ∞ 1.92 2.06 2.16 2.23 2.29 2.34 2.38 2.42 2.45 2.48 2.50 2.56 2.64

ผนวก 24 ตารางสถิติ 10 (ข) คา ขอบเขตบน dα,k,ν โดยที่ P( d ≥ dα,k,ν ) = α สาํ หรับ Dunnett tests k α = 0.05(two-sided)ν 2 3 4 5 6 7 8 9 10 11 12 15 20 5 3.03 3.29 3.48 3.62 3.73 3.82 3.90 3.97 4.03 4.09 4.14 4.26 4.42 6 2.86 3.10 3.26 3.39 3.49 3.57 3.64 3.71 3.76 3.81 3.86 3.97 4.11 7 2.75 2.97 3.12 3.24 3.33 3.41 3.47 3.53 3.58 3.63 3.67 3.78 3.91 8 2.67 2.88 3.02 3.13 3.22 3.29 3.35 3.41 3.46 3.50 3.54 3.64 3.76 9 2.61 2.81 2.95 3.05 3.14 3.20 3.26 3.32 3.36 3.40 3.44 3.53 3.65 10 2.57 2.76 2.89 2.99 3.07 3.14 3.19 3.24 3.29 3.33 3.36 3.45 3.57 11 2.53 2.72 2.84 2.94 3.02 3.08 3.14 3.19 3.23 3.27 3.30 3.39 3.50 12 2.50 2.68 2.81 2.90 2.98 3.04 3.09 3.14 3.18 3.22 3.25 3.34 3.45 13 2.48 2.65 2.78 2.87 2.94 3.00 3.06 3.10 3.14 3.18 3.21 3.29 3.40 14 2.46 2.63 2.75 2.84 2.91 2.97 3.02 3.07 3.11 3.14 3.18 3.26 3.36 15 2.44 2.61 2.73 2.82 2.89 2.95 3.00 3.04 3.08 3.12 3.15 3.23 3.33 16 2.42 2.59 2.71 2.80 2.87 2.92 2.97 3.02 3.06 3.09 3.12 3.20 3.30 17 2.41 2.58 2.69 2.78 2.85 2.90 2.95 3.00 3.03 3.07 3.10 3.18 3.27 18 2.40 2.56 2.68 2.76 2.83 2.89 2.94 2.98 3.01 3.05 3.08 3.16 3.25 19 2.39 2.55 2.66 2.75 2.81 2.87 2.92 2.96 3.00 3.03 3.06 3.14 3.23 20 2.38 2.54 2.65 2.73 2.80 2.86 2.90 2.95 2.98 3.02 3.05 3.12 3.22 24 2.35 2.51 2.61 2.70 2.76 2.81 2.86 2.90 2.94 2.97 3.00 3.07 3.16 30 2.32 2.47 2.58 2.66 2.72 2.77 2.82 2.86 2.89 2.92 2.95 3.02 3.11 40 2.29 2.44 2.54 2.62 2.68 2.73 2.77 2.81 2.85 2.87 2.90 2.97 3.06 60 2.27 2.41 2.51 2.58 2.64 2.69 2.73 2.77 2.80 2.83 2.86 2.92 3.00120 2.24 2.38 2.47 2.55 2.60 2.65 2.69 2.73 2.76 2.79 2.81 2.87 2.95 ∞ 2.21 2.35 2.44 2.51 2.57 2.61 2.65 2.69 2.72 2.74 2.77 2.83 2.91

ผนวก 25 ตารางสถติ ิ 10 (ค) คาขอบเขตบน dα,k,ν โดยท่ี P(d ≥ dα,k,ν ) = α สําหรับ Dunnett tests α = 0.01(one-sided) k 2 3 4 5 6 7 8 9 10 11 12 15 20ν 5 3.90 4.21 4.43 4.60 4.73 4.85 4.94 5.03 5.11 5.17 5.24 5.39 5.59 6 3.61 3.88 4.07 4.21 4.33 4.43 4.51 4.59 4.64 4.70 4.76 4.89 5.06 7 3.42 3.66 3.83 3.96 4.07 4.15 4.23 4.30 4.35 4.40 4.45 4.57 4.72 8 3.29 3.51 3.67 3.79 3.88 3.96 4.03 4.09 4.14 4.19 4.23 4.34 4.48 9 3.19 3.40 3.55 3.66 3.75 3.82 3.89 3.94 3.99 4.04 4.08 4.18 4.31 10 3.11 3.31 3.45 3.56 3.64 3.71 3.78 3.83 3.88 3.92 3.96 4.06 4.18 11 3.06 3.25 3.38 3.48 3.56 3.63 3.69 3.74 3.79 3.83 3.86 3.96 4.08 12 3.01 3.19 3.32 3.42 3.50 3.56 3.62 3.67 3.71 3.75 3.79 3.88 3.99 13 2.97 3.15 3.27 3.37 3.44 3.51 3.56 3.61 3.65 3.69 3.73 3.81 3.92 14 2.94 3.11 3.23 3.32 3.40 3.46 3.51 3.56 3.60 3.64 3.67 3.76 3.87 15 2.19 3.08 3.20 3.29 3.36 3.42 3.47 3.52 3.56 3.60 3.63 3.71 3.82 16 2.88 3.05 3.17 3.26 3.33 3.39 3.44 3.48 3.52 3.56 3.59 3.67 3.78 17 2.86 3.03 3.14 3.23 3.30 3.36 3.41 3.45 3.49 3.53 3.56 3.64 3.74 18 2.84 3.01 3.12 3.21 3.27 3.33 3.38 3.42 3.46 3.50 3.53 3.61 3.71 19 2.83 2.99 3.10 3.18 3.25 3.31 3.36 3.40 3.44 3.47 3.50 3.58 3.68 20 2.81 2.97 3.08 3.17 3.23 3.29 3.34 3.38 3.42 3.45 3.48 3.56 3.65 24 2.77 2.92 3.03 3.11 3.17 3.22 3.27 3.31 3.35 3.38 3.41 3.48 3.57 30 2.72 2.87 2.97 3.05 3.11 3.16 3.21 3.24 3.28 3.31 3.34 3.41 3.50 40 2.68 2.82 2.92 2.99 3.05 3.10 3.14 3.18 3.21 3.24 3.27 3.34 3.42 60 2.64 2.78 2.87 2.94 3.00 3.04 3.08 3.12 3.15 3.18 3.20 3.27 3.35 120 2.60 2.73 2.82 2.89 2.94 2.99 3.03 3.06 3.09 3.12 3.14 3.20 3.28 ∞ 2.56 2.68 2.77 2.84 2.89 2.93 2.97 3.00 3.03 3.06 3.08 3.14 3.21

ผนวก 26 ตารางสถิติ 10 (ง) คาขอบเขตบน dα,k,ν โดยท่ี P( d ≥ dα,k,ν ) = α สาํ หรับ Dunnett tests k α = 0.01 (two-sided)ν 2 3 4 5 6 7 8 9 10 11 12 15 20 5 4.63 4.98 5.22 5.41 5.56 5.69 5.80 5.89 5.98 6.05 6.12 6.30 6.52 6 4.21 4.51 4.71 4.87 5.00 5.10 5.20 5.28 5.35 5.41 5.47 5.62 5.81 7 3.95 4.21 4.39 4.53 4.64 4.74 4.82 4.89 4.95 5.01 5.06 5.19 5.36 8 3.77 4.00 4.17 4.29 4.40 4.48 4.56 4.62 4.68 4.73 4.78 4.90 5.05 9 3.63 3.85 4.01 4.12 4.22 4.30 4.37 4.43 4.48 4.53 4.57 4.68 4.82 10 3.53 3.74 3.88 3.99 4.08 4.16 4.22 4.28 4.33 4.37 4.42 4.52 4.65 11 3.45 3.65 3.79 3.89 3.98 4.05 4.11 4.16 4.21 4.25 4.29 4.39 4.52 12 3.39 3.58 3.71 3.81 3.89 3.96 4.02 4.07 4.12 4.16 4.19 4.29 4.41 13 3.33 3.52 3.65 3.74 3.82 3.89 3.94 3.99 4.04 4.08 4.11 4.20 4.32 14 3.29 3.47 3.59 3.69 3.76 3.83 3.88 3.93 3.97 4.01 4.05 4.13 4.24 15 3.25 3.43 3.55 3.64 3.71 3.78 3.83 3.88 3.92 3.95 3.99 4.07 4.18 16 3.22 3.39 3.51 3.60 3.67 3.73 3.78 3.83 3.87 3.91 3.94 4.02 4.13 17 3.19 3.36 3.47 3.56 3.63 3.69 3.74 3.79 3.83 3.86 3.90 3.98 4.08 18 3.17 3.33 3.44 3.53 3.60 3.66 3.71 3.75 3.79 3.83 3.86 3.94 4.04 19 3.15 3.31 3.42 3.50 3.57 3.63 3.68 3.72 3.76 3.79 3.83 3.90 4.00 20 3.13 3.29 3.40 3.48 3.55 3.60 3.65 3.69 3.73 3.77 3.80 3.87 3.97 24 3.07 3.22 3.32 3.40 3.47 3.52 3.57 3.61 3.64 3.68 3.70 3.78 3.87 30 3.01 3.15 3.25 3.33 3.39 3.44 3.49 3.52 3.56 3.59 3.62 3.69 3.78 40 2.95 3.09 3.19 3.26 3.32 3.37 3.41 3.44 3.48 3.51 3.53 3.60 3.68 60 2.90 3.03 3.12 3.19 3.25 3.29 3.33 3.37 3.40 3.42 3.45 3.51 3.59120 2.85 2.97 3.06 3.12 3.18 3.22 3.26 3.29 3.32 3.35 3.37 3.43 3.51 ∞ 2.79 2.92 3.00 3.06 3.11 3.15 3.19 3.22 3.25 3.27 3.29 3.35 3.42

ผนวก 27ตารางสถิติ 11 สัมประสิทธิ์ Orthogonal Polynomial ท่ีมี a ทรีทเมนต cj a=3 a=4 P3 a=5 1 P1 P2 P1 P2 -1 P1 P2 P3 P4 2 3 3 -1 1 -3 1 -3 -2 2 -1 1 4 0 -2 -1 -1 1 -1 -1 2 -4 5 11 1 -1 0 -2 0 6 31 1 -1 -2 -4 26 2 2 11 a 20 4 20 13 10 10 14 10 70∑ Pc2j 5 35 2 13 j =1 1 1 6 13 λ a=6 a=7 cj P1 P2 P3 P4 P5 P1 P2 P3 P4 P5 P6 1 -5 5 -5 1 -1 -3 5 -1 3 -1 1 2 5 -2 0 1 -7 4 -6 3 -3 -1 7 -3 -10 -1 -3 1 1 -5 15 4 10 0 -4 0 6 0 -20 5 -1 -4 4 2 -5 1 -3 -1 1 5 15 6 1 2 0 -1 -7 -4 -6 7 1 -4 -4 2 351 3 11 3 -1 -7 -3 55 5 1 a 70 84 180 28 252 28 84 6 154 84 924 11∑ Pc2j 3 5 7 21 17 7 77 22 3 12 10 6 12 20 60 j =1 λ