Tra Bảng Phân Phối Student(t) Fisher - 123doc

BẢNG TRA PHÂN PHỐI FISHERCho alpha, bậc tự do v1, bậc tự do v2, tìm F alpha... BẢNG TRA PHÂN PHỐI FISHERCho alpha, bậc tự do v1, bậc tự do v2, tìm F alpha.

BẢNG TRA PHÂN PHỐI STUDENT

(Cho alpha = 0.05, bậc tự do = 3, Giá trị t alpha là 2.353)

Ý nghĩa: P(t > t alpha) = alpha

Bậc tự do t 0.10 t 0.05 t 0.025 t 0.01 t 0.005

0.1 0.05 0.025 0.01 0.005

1 3.078 6.314 12.706 31.821 63.657

2 1.886 2.920 4.303 6.965 9.925

3 1.638 2.353 3.182 4.541 5.841

4 1.533 2.132 2.776 3.747 4.604

5 1.476 2.015 2.571 3.365 4.032

6 1.440 1.943 2.447 3.143 3.707

7 1.415 1.895 2.365 2.998 3.499

8 1.397 1.860 2.306 2.896 3.355

9 1.383 1.833 2.262 2.821 3.250

10 1.372 1.812 2.228 2.764 3.169

11 1.363 1.796 2.201 2.718 3.106

12 1.356 1.782 2.179 2.681 3.055

13 1.350 1.771 2.160 2.650 3.012

14 1.345 1.761 2.145 2.624 2.977

15 1.341 1.753 2.131 2.602 2.947

16 1.337 1.746 2.120 2.583 2.921

17 1.333 1.740 2.110 2.567 2.898

18 1.330 1.734 2.101 2.552 2.878

19 1.328 1.729 2.093 2.539 2.861

20 1.325 1.725 2.086 2.528 2.845

21 1.323 1.721 2.080 2.518 2.831

22 1.321 1.717 2.074 2.508 2.819

23 1.319 1.714 2.069 2.500 2.807

24 1.318 1.711 2.064 2.492 2.797

25 1.316 1.708 2.060 2.485 2.787

26 1.315 1.706 2.056 2.479 2.779

27 1.314 1.703 2.052 2.473 2.771

28 1.313 1.701 2.048 2.467 2.763

29 1.311 1.699 2.045 2.462 2.756

30 1.310 1.697 2.042 2.457 2.750

40 1.303 1.684 2.021 2.423 2.704

60 1.296 1.671 2.000 2.390 2.660

120 1.289 1.658 1.980 2.358 2.617

1000000 1.282 1.645 1.960 2.326 2.576

ν

0 t

ν,α

α

t

Mật độ XS

BẢNG TRA PHÂN PHỐI FISHER

(Cho alpha, bậc tự do v1, bậc tự do v2, tìm F alpha.)

alpha

0.05

Bậc tự do v1 1 2 3 4 5 6 7

Bậc tự do v2

1 161.45 199.50 215.71 224.58 230.16 233.99 236.77

2 18.513 19.000 19.164 19.247 19.296 19.330 19.353

3 10.128 9.552 9.277 9.117 9.013 8.941 8.887

4 7.7086 6.9443 6.5914 6.3882 6.2561 6.1631 6.0942

5 6.6079 5.7861 5.4095 5.1922 5.0503 4.9503 4.8759

6 5.9874 5.1433 4.7571 4.5337 4.3874 4.2839 4.2067

7 5.5914 4.7374 4.3468 4.1203 3.9715 3.8660 3.7870

8 5.3177 4.4590 4.0662 3.8379 3.6875 3.5806 3.5005

9 5.1174 4.2565 3.8625 3.6331 3.4817 3.3738 3.2927

10 4.9646 4.1028 3.7083 3.4780 3.3258 3.2172 3.1355

11 4.8443 3.9823 3.5874 3.3567 3.2039 3.0946 3.0123

12 4.7472 3.8853 3.4903 3.2592 3.1059 2.9961 2.9134

13 4.6672 3.8056 3.4105 3.1791 3.0254 2.9153 2.8321

14 4.6001 3.7389 3.3439 3.1122 2.9582 2.8477 2.7642

15 4.5431 3.6823 3.2874 3.0556 2.9013 2.7905 2.7066

16 4.4940 3.6337 3.2389 3.0069 2.8524 2.7413 2.6572

17 4.4513 3.5915 3.1968 2.9647 2.8100 2.6987 2.6143

18 4.4139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767

19 4.3807 3.5219 3.1274 2.8951 2.7401 2.6283 2.5435

20 4.3512 3.4928 3.0984 2.8661 2.7109 2.5990 2.5140

21 4.3248 3.4668 3.0725 2.8401 2.6848 2.5727 2.4876

22 4.3009 3.4434 3.0491 2.8167 2.6613 2.5491 2.4638

23 4.2793 3.4221 3.0280 2.7955 2.6400 2.5277 2.4422

24 4.2597 3.4028 3.0088 2.7763 2.6207 2.5082 2.4226

25 4.2417 3.3852 2.9912 2.7587 2.6030 2.4904 2.4047

26 4.2252 3.3690 2.9752 2.7426 2.5868 2.4741 2.3883

27 4.2100 3.3541 2.9604 2.7278 2.5719 2.4591 2.3732

28 4.1960 3.3404 2.9467 2.7141 2.5581 2.4453 2.3593

29 4.1830 3.3277 2.9340 2.7014 2.5454 2.4324 2.3463

30 4.1709 3.3158 2.9223 2.6896 2.5336 2.4205 2.3343

40 4.0847 3.2317 2.8387 2.6060 2.4495 2.3359 2.2490

60 4.0012 3.1504 2.7581 2.5252 2.3683 2.2541 2.1665

120 3.9201 3.0718 2.6802 2.4472 2.2899 2.1750 2.0868

α

F

0 F

α,ν1,ν2

Mật độ XS

0.05

Bậc tự do v1

Bậc tự do v2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

8 9 10 11 12 15 20

238.88 240.54 241.88 242.98 243.91 245.95 248.01

19.371 19.385 19.396 19.4050 19.413 19.429 19.446

8.845 8.812 8.786 8.7633 8.745 8.703 8.660

6.0410 5.9988 5.9644 5.9358 5.9117 5.8578 5.8025

4.8183 4.7725 4.7351 4.7040 4.6777 4.6188 4.5581

4.1468 4.0990 4.0600 4.0274 3.9999 3.9381 3.8742

3.7257 3.6767 3.6365 3.6030 3.5747 3.5107 3.4445

3.4381 3.3881 3.3472 3.3130 3.2839 3.2184 3.1503

3.2296 3.1789 3.1373 3.1025 3.0729 3.0061 2.9365

3.0717 3.0204 2.9782 2.9430 2.9130 2.8450 2.7740

2.9480 2.8962 2.8536 2.8179 2.7876 2.7186 2.6464

2.8486 2.7964 2.7534 2.7173 2.6866 2.6169 2.5436

2.7669 2.7144 2.6710 2.6347 2.6037 2.5331 2.4589

2.6987 2.6458 2.6022 2.5655 2.5342 2.4630 2.3879

2.6408 2.5876 2.5437 2.5068 2.4753 2.4034 2.3275

2.5911 2.5377 2.4935 2.4564 2.4247 2.3522 2.2756

2.5480 2.4943 2.4499 2.4126 2.3807 2.3077 2.2304

2.5102 2.4563 2.4117 2.3742 2.3421 2.2686 2.1906

2.4768 2.4227 2.3779 2.3402 2.3080 2.2341 2.1555

2.4471 2.3928 2.3479 2.3100 2.2776 2.2033 2.1242

2.4205 2.3660 2.3210 2.2829 2.2504 2.1757 2.0960

2.3965 2.3419 2.2967 2.2585 2.2258 2.1508 2.0707

2.3748 2.3201 2.2747 2.2364 2.2036 2.1282 2.0476

2.3551 2.3002 2.2547 2.2163 2.1834 2.1077 2.0267

2.3371 2.2821 2.2365 2.1979 2.1649 2.0889 2.0075

2.3205 2.2655 2.2197 2.1811 2.1479 2.0716 1.9898

2.3053 2.2501 2.2043 2.1655 2.1323 2.0558 1.9736

2.2913 2.2360 2.1900 2.1512 2.1179 2.0411 1.9586

2.2783 2.2229 2.1768 2.1379 2.1045 2.0275 1.9446

2.2662 2.2107 2.1646 2.1256 2.0921 2.0148 1.9317

2.1802 2.1240 2.0772 2.0376 2.0035 1.9245 1.8389

2.0970 2.0401 1.9926 1.9522 1.9174 1.8364 1.7480

2.0164 1.9588 1.9105 1.8693 1.8337 1.7505 1.6587

0.05

Bậc tự do v1

Bậc tự do v2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

24 30 40 50 60 120

249.05 250.10 251.14 251.77 252.20 253.25

19.454 19.462 19.471 19.4757 19.479 19.487

8.639 8.617 8.594 8.5810 8.572 8.549

5.7744 5.7459 5.7170 5.6995 5.6877 5.6581

4.5272 4.4957 4.4638 4.4444 4.4314 4.3985

3.8415 3.8082 3.7743 3.7537 3.7398 3.7047

3.4105 3.3758 3.3404 3.3189 3.3043 3.2674

3.1152 3.0794 3.0428 3.0204 3.0053 2.9669

2.9005 2.8637 2.8259 2.8028 2.7872 2.7475

2.7372 2.6996 2.6609 2.6371 2.6211 2.5801

2.6090 2.5705 2.5309 2.5066 2.4901 2.4480

2.5055 2.4663 2.4259 2.4010 2.3842 2.3410

2.4202 2.3803 2.3392 2.3138 2.2966 2.2524

2.3487 2.3082 2.2664 2.2405 2.2229 2.1778

2.2878 2.2468 2.2043 2.1780 2.1601 2.1141

2.2354 2.1938 2.1507 2.1240 2.1058 2.0589

2.1898 2.1477 2.1040 2.0769 2.0584 2.0107

2.1497 2.1071 2.0629 2.0354 2.0166 1.9681

2.1141 2.0712 2.0264 1.9986 1.9795 1.9302

2.0825 2.0391 1.9938 1.9656 1.9464 1.8963

2.0540 2.0102 1.9645 1.9360 1.9165 1.8657

2.0283 1.9842 1.9380 1.9092 1.8894 1.8380

2.0050 1.9605 1.9139 1.8848 1.8648 1.8128

1.9838 1.9390 1.8920 1.8625 1.8424 1.7896

1.9643 1.9192 1.8718 1.8421 1.8217 1.7684

1.9464 1.9010 1.8533 1.8233 1.8027 1.7488

1.9299 1.8842 1.8361 1.8059 1.7851 1.7306

1.9147 1.8687 1.8203 1.7898 1.7689 1.7138

1.9005 1.8543 1.8055 1.7748 1.7537 1.6981

1.8874 1.8409 1.7918 1.7609 1.7396 1.6835

1.7929 1.7444 1.6928 1.6600 1.6373 1.5766

1.7001 1.6491 1.5943 1.5590 1.5343 1.4673

1.6084 1.5543 1.4952 1.4565 1.4290 1.3519

BẢNG TRA PHÂN PHỐI FISHER

(Cho alpha, bậc tự do v1, bậc tự do v2, tìm F alpha.)

alpha

0.01

Bậc tự do v1 1 2 3 4 5 6 7

Bậc tự do v2

1 4052.18 4999.50 5403.35 5624.58 5763.65 5858.99 5928.36

2 98.503 99.000 99.166 99.249 99.299 99.333 99.356

3 34.116 30.817 29.457 28.710 28.237 27.911 27.672

4 21.1977 18.0000 16.6944 15.9770 15.5219 15.2069 14.9758

5 16.2582 13.2739 12.0600 11.3919 10.9670 10.6723 10.4555

6 13.7450 10.9248 9.7795 9.1483 8.7459 8.4661 8.2600

7 12.2464 9.5466 8.4513 7.8466 7.4604 7.1914 6.9928

8 11.2586 8.6491 7.5910 7.0061 6.6318 6.3707 6.1776

9 10.5614 8.0215 6.9919 6.4221 6.0569 5.8018 5.6129

10 10.0443 7.5594 6.5523 5.9943 5.6363 5.3858 5.2001

11 9.6460 7.2057 6.2167 5.6683 5.3160 5.0692 4.8861

12 9.3302 6.9266 5.9525 5.4120 5.0643 4.8206 4.6395

13 9.0738 6.7010 5.7394 5.2053 4.8616 4.6204 4.4410

14 8.8616 6.5149 5.5639 5.0354 4.6950 4.4558 4.2779

15 8.6831 6.3589 5.4170 4.8932 4.5556 4.3183 4.1415

16 8.5310 6.2262 5.2922 4.7726 4.4374 4.2016 4.0259

17 8.3997 6.1121 5.1850 4.6690 4.3359 4.1015 3.9267

18 8.2854 6.0129 5.0919 4.5790 4.2479 4.0146 3.8406

19 8.1849 5.9259 5.0103 4.5003 4.1708 3.9386 3.7653

20 8.0960 5.8489 4.9382 4.4307 4.1027 3.8714 3.6987

21 8.0166 5.7804 4.8740 4.3688 4.0421 3.8117 3.6396

22 7.9454 5.7190 4.8166 4.3134 3.9880 3.7583 3.5867

23 7.8811 5.6637 4.7649 4.2636 3.9392 3.7102 3.5390

24 7.8229 5.6136 4.7181 4.2184 3.8951 3.6667 3.4959

25 7.7698 5.5680 4.6755 4.1774 3.8550 3.6272 3.4568

26 7.7213 5.5263 4.6366 4.1400 3.8183 3.5911 3.4210

27 7.6767 5.4881 4.6009 4.1056 3.7848 3.5580 3.3882

28 7.6356 5.4529 4.5681 4.0740 3.7539 3.5276 3.3581

29 7.5977 5.4204 4.5378 4.0449 3.7254 3.4995 3.3303

30 7.5625 5.3903 4.5097 4.0179 3.6990 3.4735 3.3045

40 7.3141 5.1785 4.3126 3.8283 3.5138 3.2910 3.1238

60 7.0771 4.9774 4.1259 3.6490 3.3389 3.1187 2.9530

120 6.8509 4.7865 3.9491 3.4795 3.1735 2.9559 2.7918

α

F

0 F

α,ν1,ν2

Mật độ XS

0.01

Bậc tự do v1

Bậc tự do v2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

8 9 10 11 12 15 20

5981.07 6022.47 6055.85 6083.32 6106.32 6157.28 6208.73

99.374 99.388 99.399 99.4083 99.416 99.433 99.449

27.489 27.345 27.229 27.1326 27.052 26.872 26.690

14.7989 14.6591 14.5459 14.4523 14.3736 14.1982 14.0196

10.2893 10.1578 10.0510 9.9626 9.8883 9.7222 9.5526

8.1017 7.9761 7.8741 7.7896 7.7183 7.5590 7.3958

6.8400 6.7188 6.6201 6.5382 6.4691 6.3143 6.1554

6.0289 5.9106 5.8143 5.7343 5.6667 5.5151 5.3591

5.4671 5.3511 5.2565 5.1779 5.1114 4.9621 4.8080

5.0567 4.9424 4.8491 4.7715 4.7059 4.5581 4.4054

4.7445 4.6315 4.5393 4.4624 4.3974 4.2509 4.0990

4.4994 4.3875 4.2961 4.2198 4.1553 4.0096 3.8584

4.3021 4.1911 4.1003 4.0245 3.9603 3.8154 3.6646

4.1399 4.0297 3.9394 3.8640 3.8001 3.6557 3.5052

4.0045 3.8948 3.8049 3.7299 3.6662 3.5222 3.3719

3.8896 3.7804 3.6909 3.6162 3.5527 3.4089 3.2587

3.7910 3.6822 3.5931 3.5185 3.4552 3.3117 3.1615

3.7054 3.5971 3.5082 3.4338 3.3706 3.2273 3.0771

3.6305 3.5225 3.4338 3.3596 3.2965 3.1533 3.0031

3.5644 3.4567 3.3682 3.2941 3.2311 3.0880 2.9377

3.5056 3.3981 3.3098 3.2359 3.1730 3.0300 2.8796

3.4530 3.3458 3.2576 3.1837 3.1209 2.9779 2.8274

3.4057 3.2986 3.2106 3.1368 3.0740 2.9311 2.7805

3.3629 3.2560 3.1681 3.0944 3.0316 2.8887 2.7380

3.3239 3.2172 3.1294 3.0558 2.9931 2.8502 2.6993

3.2884 3.1818 3.0941 3.0205 2.9578 2.8150 2.6640

3.2558 3.1494 3.0618 2.9882 2.9256 2.7827 2.6316

3.2259 3.1195 3.0320 2.9585 2.8959 2.7530 2.6017

3.1982 3.0920 3.0045 2.9311 2.8685 2.7256 2.5742

3.1726 3.0665 2.9791 2.9057 2.8431 2.7002 2.5487

2.9930 2.8876 2.8005 2.7274 2.6648 2.5216 2.3689

2.8233 2.7185 2.6318 2.5587 2.4961 2.3523 2.1978

2.6629 2.5586 2.4721 2.3990 2.3363 2.1915 2.0346

0.01

Bậc tự do v1

Bậc tự do v2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

24 30 40 50 60 120

6234.63 6260.65 6286.78 6302.52 6313.03 6339.39

99.458 99.466 99.474 99.4792 99.482 99.491

26.598 26.505 26.411 26.3542 26.316 26.221

13.9291 13.8377 13.7454 13.6896 13.6522 13.5581

9.4665 9.3793 9.2912 9.2378 9.2020 9.1118

7.3127 7.2285 7.1432 7.0915 7.0567 6.9690

6.0743 5.9920 5.9084 5.8577 5.8236 5.7373

5.2793 5.1981 5.1156 5.0654 5.0316 4.9461

4.7290 4.6486 4.5666 4.5167 4.4831 4.3978

4.3269 4.2469 4.1653 4.1155 4.0819 3.9965

4.0209 3.9411 3.8596 3.8097 3.7761 3.6904

3.7805 3.7008 3.6192 3.5692 3.5355 3.4494

3.5868 3.5070 3.4253 3.3752 3.3413 3.2548

3.4274 3.3476 3.2656 3.2153 3.1813 3.0942

3.2940 3.2141 3.1319 3.0814 3.0471 2.9595

3.1808 3.1007 3.0182 2.9675 2.9330 2.8447

3.0835 3.0032 2.9205 2.8694 2.8348 2.7459

2.9990 2.9185 2.8354 2.7841 2.7493 2.6597

2.9249 2.8442 2.7608 2.7093 2.6742 2.5839

2.8594 2.7785 2.6947 2.6430 2.6077 2.5168

2.8010 2.7200 2.6359 2.5838 2.5484 2.4568

2.7488 2.6675 2.5831 2.5308 2.4951 2.4029

2.7017 2.6202 2.5355 2.4829 2.4471 2.3542

2.6591 2.5773 2.4923 2.4395 2.4035 2.3100

2.6203 2.5383 2.4530 2.3999 2.3637 2.2696

2.5848 2.5026 2.4170 2.3637 2.3273 2.2325

2.5522 2.4699 2.3840 2.3304 2.2938 2.1985

2.5223 2.4397 2.3535 2.2997 2.2629 2.1670

2.4946 2.4118 2.3253 2.2714 2.2344 2.1379

2.4689 2.3860 2.2992 2.2450 2.2079 2.1108

2.2880 2.2034 2.1142 2.0581 2.0194 1.9172

2.1154 2.0285 1.9360 1.8772 1.8363 1.7263

1.9500 1.8600 1.7628 1.7000 1.6557 1.5330