统计分布临界值表
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附表一:随机数表_____________________________________________________________________________ 2附表二:标准正态分布表______________________________________________________________________ 3附表三:t分布临界值表________________________________________________________________________ 4
2
附表四:分布临界值表_____________________________________________________________________ 5附表五:F分布临界值表(a =0.05)7附表六:单样本K-S检验统计量表_______________________________________________________________ 9附表七:符号检验界域表______________________________________________________________________ 10附表八:游程检验临界值表___________________________________________________________________ 11附表九:相关系数临界值表____________________________________________________________________ 12附表十:Spearman等级相关系数临界值表 _____________________________________________________ 13附表十一:Kendall等级相关系数临界值表_______________________________________________________ 14附表十二:控制图系数表_____________________________________________________________________ 15
附表一:随机数表
92459468070074298068057159191430368768300147131879 Q199061688213175813681372324沟89450541881503252447
56357038110182453455887553012202839717631963906246 36783050037176135852406406263026769025874462395577
8S822117962856127091930136493994299982405745018672
034788&0173046654463329984582&92196848669072860701 15272846143710433686512837298053589613187864906703 29596475348980595170898165831403649642851468212486
719048169394887455737687-17454836851186307791678922 05201513127898627330631949809693212748915509902678
16510954063907831468435776799011287270683787461734 83316948527315976123050100839362827137283470939578 19962863269985514146283419357034163596231410363367 6685252392321157&977807239656219388644467394983823 84161370207969435717734171561793437469819483812418
58837309608427238937279269540361816322021134399925 12971626718715180924084132287951701£43036555620152
21036131757791631978788966986922225130434985881615 3415224555543664070433)110049053198523177747S30052 5043417B009980532819710338367484640674706092225920
74643916866486113547476680271011434828674044223126 307745677007259588640200278870297377907S0389196198 52766310057J78678399414187373044254810348139160870 30583576450282146759216118187575570714039502090567 11411877319541214734682162423764399571906200308072
< Z) = =5 f ■ >—严‘找iiw
J-tK v2ff
4>(-z> = 1 - 4>(Z)
■y0.000.U10.020.030.()40.050.060.070.080.09
u.o1).5000().50400.5080
»
0.51200.51600.52390.52790.53190,5359
0.10.539H0.54380.54780.55170.5557055960.56360.56750.57140,5753 0.20.5793O.S8320.58710.5910a刘礬0.59W70,60260,6064U,6i030-6141 0.30.61790 62170.62550.62930.63310.636«0.64060,64430 64800.6517 0.40.65540.659J0,66280,666410000.67360.67720.61SUK0 68440.6879 0,5069150.69500.69850 70190.70540.7()«80.7123071570.71900.7224 0.60.72570,72910.73240.73570.73^90.74220.74540.74S6075170.7549 0.7O.75M)0 76110.76420.如30.77030.77340.77640,7794078230.7852 0.8a测079100.7939□.79670.79950.80230.80510.8078081060.8133
0.90.81590.818602120.823K O.K2640.82890.83150.83400S3650.8389
1.00B4L30.8438U.K461U.8485O.85OR0.85310.8554(1.85770.85990.8621 1.10.86430.8665asevb0.87080^7290.8749O.S7700.879()0.88100.8830 120.S8490.8869O8SS80.89070.S9250.8944O.S962U.89«()0.899709015 1,30.90320,90490.9(1660.90820.9U990.91150913〕0.91470.91620.9177 1.40,9192(1.92070.92220.92360.92510.92650.92790.92920.93060.9319
1.50.93320.95450.93570.93700.93820.93940.94060.94180.94290.944!
1.60.94520.94630.94740.94S40.9495095050.95150.95250,95350.9545 1.70.95540.95640.95730.95820.9591095990.960K0.^6160.96250.9633 1,80.96410.964S U.%56O.%640.96710.967B0.W860.96930 96990.9706 1.90.97130.97190.97260.97320.97360.97440.975C0.9756097610.9767
2.00.97720劝&0.97S30.97880.9793Q.^7980.9K030.98080,98120,9817 2J0.98210.98260.9830O.9S340.9838O.9S420.98460.98500,98540,9857 2.20.98610 98640 9®6«09R7J0.98750<)8780.988 J0.9S840^870.98K 230,9893 D.96960.98980.99010.99040.99060.99090.99110.99130.9916 2,409918U3200.99220.99250.9927Q.99290.Q93)0.9*9320.99340.9936
2.50.99380.99400.99410.99430.99450.99460^9480.99490,99510.9952 2.60.99530.99550.995t0,99570,99590,99600.99610.99620W630.9964 2.7099650.99660.99670,99680,99690.99700.99710.99720.99730.9974 2.80,W7 斗0.99750.99760,99770.99770.99780.99790.99790 99B00.9981 2.909981Q.99820.99820.99830.99840,99S40.99«50.99850.9986U.99S6
3.00.99870.9987O.99H70.998^0.99880.99890.99890.9989Q.9W00.9990
a0.400.030()02000,10000500,0250.02D0.0100W50.001 30.2530 5240842 1.282 1.645 1 960 2.0542326 2.576 3.090 ia/20.JU2L036 1 282 1.645 1 9W 2.240 2.326 2.576 2.8073,291
(查表时注意:v是指自由度,并分单侧和双侧两种类型)
(左侧的示意图是单侧检验的情形)
a»0.1D 価0.025 0,010.005
d=0.20 0.10 0.05 0.02 0.01
v=\ 3.078 6.314 12.706 31.821 砧的
2I.8S6 2.92D 4,303 6.965
3 I.&3S 2.353 3J82 4,541 5 841
4 1,5阳1132 2.776 3.747 4.604
5 1.47
6 2.CIS 2,571 3 365 4血
3.707
6 L44O l.W 2,44
7 3J43
7 1.415 1.89S 2.365 2,998 工祸
K 1.397 L.&60 23% 2.896 2J55
9 L383 1*33 2.262 2.82] 1250
10L372 LK12 2228 2.7M 3」69
11 1.363 1.796 2.201 Z7J8 3.106
12 1356U82 2J79 2.681 3.055
13 1350 1,7?]2J60 2.650 3.012
I.J45 1.76] 2,145 2.624 2.977
15 1.34] 1.753 1131 2.602 2.947
16 133? 1 H6 2,120 2.583 2.921
17im 1.740 2110 2.567 2 89$
18 1330 1,734 2.101 3.552 2.878
19 1328 1.7» 2.093 2339 2.861
20 1.325 1.725 2J086 Z55S 2.845
21 1323 I.72L 2.080 2M2,831
22 U21 1.717 2.074 2.503 2,819
23 UH 1714 2,069 2,500 2,»07
24 L.3LS 15)1 2.064 2A92 2.797
251316 1.70S 2 06C 2.485 1787
曲 1.315 1706 2.056 2.479 2.779
271JH l.?0J 2.052 2.^73 2.77]
2.04fi 2.4672J6J
28 1J13 1 701
29 1311 1.699 2.045 2.462 2.756
30 1J10 L697 2.042 2.457 2.750
44) 1.303 L6S4 2.021 2.423 2.704
50 L299 1.676 2.OOT 3 403 2.678
60 1.296 L671 2.000 2.390 2.660
70 L294 1.6*7 1,994 2.3SI 2.64ft
80 1.292 L6M 1.9902374 2.639
90 1 291 1.662 I.9S72”瑚2W2
100 1.290 J.660 1.984 2.364 2.626
125 l.28£L657 1.979 2.^57 2.616
150 1.287 ],655 1.9% 2.351 2.609
200 1.286 165 J L972 2.345 2.601
■CD 1.282 1.645 l.9«0 2.326 2576
2
附表四:分布临界值表
自由度
__i"
2
3
4
5
6
7
9
10
11
12
13
14
15
16
J7
18
19
20
21
22
23
24
25
26
27
貂
2<>
30
40
50
60
70
80
90
100
150
200
SOO
400
S00
畫0>. W5Jffl. 999X Q. S7S^0.鬲1, 9U0
0. 0000393 0.0001571 0.00098210. 0039321 0.0157908
0.0100251 0.0201007 0.0506356 0.102587 0,210720
0.0717212 0. 114832 0,215795 0. 351846 0. 564375
0. 206990 0.297110 0. 484419 0.710721 1.063623
0. 411740 0.554300 0.831211 L 145476 L. 61031
0.6757270.872085 1.237347 1, 63539 比20413
0. 989265 L 239043 1,68987 2.16735 2.83311
1. 344419 1. 646482
2. 1.7973 2
t
73264 3. 48954 L 734926 2. 087912 2, 70039 3.32511 £ 16816
2, 15585 2.558213・24697 3”94030 4.86518
2.60321 3” 05347
3.815754*5748L £ S7779
£ 07382 3. 57056 4.40379 5. 22603 6.30380
3.56503
4.10^91
5.00874 5, 89186 7.04150
4.07468 4*66043 5* 62872 6.57063 7. 78953
4.60094
5. 22935 氏26214 7, 26094 8. 54675
5.14224 5* 81221 6
+ 90766 7. 96164 9* 31223
5. 69724 鼠407767
+ 5A418 & 67176 10, 0852
6. 26481
7.01491 &23075 9. 39046 10.8649
6. 84398
7.63273 8+ 90655 10+1170 1L6509
7. 43386 8. 26040 9. 59083 10.850812. 4426
8. 03366 8, 89720 10. 28293 11.5913 13.2396
8, 64273 9. 54249 10, 9823 12, 338014,0415
9. 26042 10. 19567 11. 688513.0905 U. 8479
9+ 88623 10. 8564 12. 401113* 8484 15. 6587
10.5197 11.5240 13.1197 14. 6114 16. 4734
11. 1603 12.1981 13.8439 15. 3791 17. 2919
1L 8076 12.878614. 5733 16,151318. 1138
12. 4613 L3. 5648 15. 3079 16.9279 18. 9392
13. 1211 14.256516. 0471 17. 7083 19. 7677
13.7867 14,9535 16.7908 18.4926 20. 5992
20.7065 22, 1643 24, 4331 2S
+ 5093 29. 0505 27, 990729. 7067 32. 3574 34.7642 37. 6886
35.5346 37, 4846 40. 4«17 43.1879 46.4589
43. 2752 45, 4418 18. 757651. 733355. 3290
51- 1720 53, 5400 57.1532 60.3915 C4. 2778
59. 1963 51,7541 65. 6466 69,1260 73.2912
67, 3276 70. 0648 71. 221977. 3295 82. 3581
109. 142 112.668 117.985 122, 692 128. 275
15込241 156*432 1(52,728 1 佩279 174
r 835 240. 663 245.972253. 912 260, 878 269. 068
330. 903 337. 155 346. 482 354+ 641 364. 207
423. 303429, 388 439. 936 449* 147 45® 926
续表
附表五:F 分布临界值表(a =0.05)
丹、
1
2 3 4 5 6
10 15 i 161.4
199.5 215.7 224.6 230.2 234.0 238.9 241.9 245.9 2 18.51 19.00 19.16 19.25 1930 1933 19,37 19,40 19.43 3 10.(3 9.55 9.28 932 9.C1 8.94 U5 8.79 8.70 4 7,71 6.94 6.59 6.39 6.26 6.16 63 5,96 5.36
5 6.61 5.79 5.41 5J9 5.05 4.95 4,82 4.74 4.62
6
5.99 5.14 4.76 4,53 439 4.28 41S 4.06 194 7
5.59 4.74 435 4,12 3.97 3,87 3.73 1
3.64 3.51 S 132
4.46 4.07 3.84 3.69 3.58 1.44 335 3.22 9
5.12 426 3.86 3.63 3.+U 3.37 123 344
3血 1G 4.96 4J0 171 348 3.33 3.22 3.0? 2.9S 2舫 ]| 4.84 3.98
3.59 336 3.20 3.09 2.95 2,85
272 32 4.75 3.89
3.49 3.26 3JI 3.00 2.85 2.75 2.62 13
4.67 3.81
3.41 3J8 3.03 292 2.7? 2.67 2.53 14 4,60 3J4
134 3.11 2.96 2.85 2.70 2.60 2.46 15 4.54 3.68 329 3.06 190 279 2.64 154
2.40 16 4.49
3.63 3.24 3.01 2.85 2.74 2.59 2.49
2.35 11 4.453,59 320 2.96 2.81 270 2,55 2,45 231 18 4.41 155 116 2.93 2.77 2.66 2.51 2.41 2.27 19 4.3B 352
3.13 2.90 2.74 2.63 2.4咅 2.38 2.23 20
435 349 3J0 2.87 251 IfiO 2.45 2.35 220
2\ 432 347 3,07 2.84 2.68 2.57 242 232 2,18 22
4.30 3.44 3,05 2.«2 工66 2.55 24C 2,30
2.15 23 4.28
3.42 3』3 2.80 2.64 2.53 2J? 2.27
2A3
24 4.26 140 3.01 2.78 2.62 2.51 2,36 225 2J1 25 4.24 3.39 2,99 2J6 2.60 2,49 2.34 2.24 2.09 26 4.23 337 2.98 2.74 2加 2.4? 232 2.22 2.Q7 27 4,21 3.35 2,96 2.73 2.57 2.46 2.31 2.20 106 28 4.20
3J4 2J5 2.71 2.56 2.45 2.29 119
2.04 29
3.33 2.93 2.70 2.55 2.43 2.28 2,IS 2,03 30 4J7 3.32 2.92 2.69
2.53 2.42 217 2A6 2.01 40 4.08
3.23 2.84
161
2.45 2.34 2.18 2.08
1,92 50 4,03 3J8 2J9
2.56 240 2.29 2.13 1.03 1如 60 4.00
3.15 2J6 233 237 2,25 2JQ 1.99 1.84 70 3.98 3.33 274 2.50 2.35 23 2.07 1.97 L81 80
3.96 3.11
2.72 2.49 13J 221 2.06 1.95
1,79 旳
395 3.10
2.71 2.47 2.32 2.20 2.04 L94 1,78 100
3.94 3,09 2.70 2.46 231 2.19 2.03 L93 1.77 125 3.92 3.07 2.68 2.44 2.29 2.17 2.01 L91
1.75 150 3.90 3.06
2.66 2.43
2J7 246 2.00 1,89
1,73 200
3.K9 3.04 2.65 2A2
126 244 1.98 1.8&
L72
3.84
3.00
2.60
2.37
121
2JC 1,94
丨-和
1.67
F分布临界值表(a =0.01)
续表
X Vi \
t
s. 2
3 斗5
6
g
10
15
14052 斗999 5403 5625 5764 5859 5981 60*5 6157
2 9S.50 呢00 99.17 99.25 9930 99.3
3 99 J 7 99.40 99.43
3 34J2 30. B2 29.46 2871 2&2
4 27.912749 27,23 26.87 斗21.20 18.00 16,69 15.98 15.52 15.2! 14.S0 14.5
5 14.20
5 162
6 132
7 12.06 1139 10310.67 10.2? )0.05 972
6 13.75 10.929.78 9,15 8.75 8.47乱10 7,8
7 7.56
7 12.25 ^55 845 7.85 7.46 7,19 6.84
6.62 631 R IL26 8.65
7.59 7,01 6.63 6.37
6.03 5,81 5.52
9 10.56 £02 6,99 6.42 6.06 5.80 5.47 5.26<96
10 10.047.56 6.55 5.99 5.64
5.39 5.06 4.85 4.56 119.65 7.21 622 5.67 532 5,07 4.74 4少 4.25
12 933 6.93 5.95 5.41 5.06 4.82 4.50 4.30 4.01
13 9.07 6.70 5.74 5.21 4.86 4,62 4.30 440 3.82
148.86 6.31 5.565,04 4.69 4.46 4,14 '3.94 3.6^ 15 g.86 6 36 5.42 <89 4.56 4.32 4.00 3.SD 152 }68,53 6.23 5.294,77 4.44 4.20 3.&93一69 3.41
17 8.40
6 11 5.19 4.6
7 4.34 4JQ
3.793,59 331
他8J9 6,01 5.09 4.53 4.25 4.0L 3.71 3.51 3.23
19 5.93 5.01 4.50 4.17 3.943& 3,43 115 2D 乱10 5.S5 4.94 4.43 4」(l 187 3.56 3.37 俪
21 8.02 5.78 4r«? 4,37 4.04 181 3.51 131 3.03
22
7.95 572 4.82 吊】3肿176 3.45 3.26 2.98
23 7.88 5.664t76 4.26 3.94 3.71 341 3JI 2.93
24 7,®25,61 4.72 4.22 3.^0 3.67 336 3J7 2.89
25 7.77 5.57 4.6K dIB1S5 3.63 3.323J3 2.85
26 7.72 5.53 4.641" 3,82 3.59 3.29 3.09 2.81
27 7.68 5.49 4+«0 4.H 3.78 V56 3.26 3.06 2.78 2& 7.64 5,45457 4.07 175 3,53 3.23 3.03 175
29 7,60 5.42 454 4.04 3.73 3.50 3.20 3.00 2.73
30 7.56 5.39 4.51 4.02工70 3.47 3」7 2.98 2.70 40 731£18431 3.83 3.51 3.29 2.的 2.S0 2,52
50 7J7 5.064,20 3.72 工41 3.J9 2.89 2.70 2.42 60 7,08 4.98 4」3 1 3.65 3J4 3.12 2.82 2.63 2,35 70 7.01 4.92 4,07 3.603卫9 ! 3 07 2.78 159 231 so fi.96 4.88 4.04 務6326 3.04 2.74 2.55 227 90 6.93 仙 4.01 3.53边101 2,72 2.52 242 100 6.90 4r S2 3.9S 151 3.21 2.99 2.69 2.502,22
125 6.S4 4.78 3.94 3.47 347 2.95
2.66 2.47 2.19 150 6.S1 4.75
3.91 3.45 2,92 2.63 2.44 246 200 6.76 4,71 3胭3,413」! 2.89 2.60 2.41 2.13
6.63 4.61 378 3.323血 3.80 2.51 2.23 2.04
附表六:单样本 K-S 检验统计量表
D n =SUP x 〔F n (x) - F o (X)1
:胡-P(D n Ed)
双侧检验的右尾柢率
N ■
200
* 100 ・050 * 020 ・010 N
* 200 + 100 *050 .020 *010
1 ・900 * 950 L 975 ・990 * 995 21 ■ 226
*259 ・2S7
1 321 L 344
2 ・£84 ・776 -842 + 900 ■ 929
22 .221 ■ 253 -281 * 314 .337 3 -565 ・636 * 708 ,785 * 829 23 ・216 ■ 247 ■ 275 、307 ・330
4 ・4姑 ■ 565
・624 ・689 • 734
24 ・2J2 -242 •貓9 ・301 * 323 5 ・⑷ * 509 * 563 ・627 ・669 25 .208 * 238 * 264 ・295 ■
317 6 ■ 410
、468 * 519 • 577 • 617 26 .204 ■ 233 ・259 ・290 ・311 7 * 381 ・43E • 4酣 ■ 538 .576
27 * 200 .229 • 254 丄制 .305 8 * 358
*454 ・507 * 542 28 ■ 1&7 * 225 *250 ・279 .aoo
& ■ 339 ・387 -430 • 480 .513
29 ■ 193 .221 ・246 * 275 *295 10 • 323 ■ 369 • 409 + 457 • 489
30 * 190 ・218 ・242 ・270 .290 11 * 308 ■
352 ・391 ・437 -468 31 ・1跖 * 214 ■ 238 .266 .285
12 ■ 296 ・338 ■ 375 ■ 419 ・449
32 * 184 ■ 211 * 234 -262 ■ 281 13 ■ 285 ■ 325 .361 * 404 < 432 33 .182 * 208 ・231 *258, ・277 14 • 275 .314 • 349 ■ 390 ・418 34 * 179 ・205 ・227 ・254 ・273 15 ・266 ・304 .338 + 377 • 404 35 -17? + 202 -224 -251 -269 16 >258 • 295 ■ 327 * 366 ・392
36 -174 ・199 ■ 221 ■
・247
.265
17 ・250 ・286 .318 ■ 355 *381 37 ・1 了2 ■ 196 ■ 218
* 244 * 262 18 ・244 * 279 ・309 • 346 ・371 38 ■ 170 * 194 .215 ■ 241 ・258 1$ * 237 ■ 271 ・310 -337
.361 39 ・伽 -191 -213 * 238 ・255
20 ’ 232 .265( ■ 294 09
* 352 40 * 165 ■ 189, • 210 -235 .252
* 100 ・050 • 025 -010
* 005
• 100 ・050
* 025 ・010 *005 ________________ 单侧检验的右培槪率
如果N>40,W 按下面的计算得到近似的概率;
附表七:符号检验界域表
x 0. 050. 01N0. 050< 01X O・050. 01
<8003611964 i2321 910371210652421 1010381210662422 1110391211672522 1221401311682522 1321411311692523 1421421412702623 1532431412712624 1632441513722724 1742451513732725 1843461513742825 1943471614752825
20L
3481614762826
21L
D 4491715772926
225450171578L 2927 2364511815793027 246552181680 •3028 2575531816813128 2676541917823128 277655!1917B33229 28g6562017843229 29875720 '18853230 3097582118863330 3197592119873331 3298602119883431 33108612220893431 34109622220903532
35
1196323
20
表中对应】的牙旳的有两疔数值■苦R等于小鬥衍数值,或等于大于下行数值,贝咗冃)025 {单侧枪验)或
^0,05桃1检验)水平上判定序列为非随机的"
v = n —
2 degrees of freedom
P{R < r )
0,95
0.975
0,99 0.995 曲5何
ro.(x>5<v )
1 0.9877 0.9969 0,9995 0.9999
2 0.9000 0.9500 0.9800 0.9900
3 0.8053 0.8783 0.9343 0.9587
4 0.7292 0.8113 0.8822 0.9172
5 0,6694 0.7544 0.8329 0,8745
6 0.62 L5 0*706
7 0.7887 0.8343 7 0.5822 0.6664 0.7497 0.7977
8 0.5493 0.631
9 0.7154 0.7646 9 0.5214 0.6020 0.6850 0.7348 10 0.4972 0.5759 0.6581 @7079 u 0,4761 0.5529 0.6338 0.6835 12 0.4575 0.5323 0.6120 0.6613 13 0.4408 0,5139 0.5922 0.6411 14 0.4258 0,4973 0.5742 0.6226 15 0.4123 0.4821 0.5577 0.6054 16 0.4000 0.4683 0.5425 0.5897 17 03887 0.4555 0.5285 0.5750 18 0.3783 0.4437 0.5154 0,5614 19 0.3687 0.4328 G.5033 0.5487 20 03597 0.4226 0.4920 0.5367 25
0.3232 03808 0,4450 0.4869 0.2959 0.3494 0.4092 0.4487
0,2746 0.3246 03809 0.4182
0,2572 0.3044 03578 03931
0.2428 0.2875 0.3383 03721 50 0.2306 0.2732 03218 03541 60 0.2108 0.2500 0.2948 03248 70 0.1954 0.2318 0.2736 0,3017 80 0.1829 0.2172 0,2565 0.2829 90
0.1725 0.2049 0.2422 0.2673 100
0.1638
0.1946
0.2300
0,2540
附表十:Spearman等级相关系数临界值表
PCr s Ag)=分
口⑵0. 20(X 100. 05a(2)0.200.100. 05 ff(l)0, 100*05<h 0258⑴ 6 100, 050. 025 n n
41, 000 1. 000290* 2450, 3120. 368 50. 8000・ 900L 000 1 300. 2400. 3060. 362 60. 6570. 8290. 886310.2360. 3010* 356 70. 5710. 7140. 786320. 2320. 2960. 350 80. 524 6 6430. 738330. 2290. 291345 90. 4830. 6000・ 700340. 2250. 2870. 340 100. 4550. 564 a 648350. 2220.2830. 335 110.4270. 5360. 61836(k 2190* 2790* 330 120. 4060. 5030. 587370.2160. 2750, 325 130. 3850. 4840. 560380 212 6 271S 321 14CL 3670. 4640. 538390. 2100. 267 6 317 15 6 354 6 4460. 521400. 2070. 2640. 313 160. 3410, 4290. 503410. 2040, 2610. 309 170. 3280. 4140. 485420. 2020.2570. 305 180. 3170. 4010.472430. 1990* 2540* 301 190. 3090. 3910・ 460440. 1970. 2510. 298 200. 2990. 3800. 44745 6 1940,2480. 294 210. 2920. 3700.435460. 1920.2460* 291 220* 2840, 3610. 425■ 470. 1900* 2430+ 288 230. 2780. 3530. 415480. 1880. 2400. 285 240. 271 a 3440. 406490. 1860. 2380* 282 250. 265 6 3370. 398500, 184Q. 2350. 279 260. 2590. 3310.390510. 1820* 2330. 276 27Q* 2550. 3240. 382520< 1800. 2310, 274 28 A 2500. 3170・ 375530. 1790. 228 6 271
附表十Kendall T等级相关系数临界值表
P ( K ^^6 )
47
n
0. 0250. 050. 10 5LOOO.800・800 6.867.733■ 600 7・714.619■ 524 8 1・643.571・429 9,556.500• 389 10・511.467,378 11.491*418*345 12• 455.394・303
13.436・359* 308
14.407.363・275 15” 390・333・276 16.383・317.250 17• 368• 309・250 13 1.346・294・242
19.333.287・228
20.326.274・221 21* 314.267・210 22.307• 264.203 23・296・257・202 24.290.246・196 25・287・240• 193
26.280・237• 188
27.271.231* 179 28,265• 228* 180 29,261■ 222* 172 30* 255.218• 172 31・252.213.166 32・246*210.165 33・242• 205・163
34.237■ 201・159
35.234.197・156 36・232.194・L52 37*228.192・150 28.223• 189.149 39* 220・188• 147 40.218・185* 144
附表十二:控制图系数表
八&图
rUCL = i+2.66ff rUCL =3h27S(
工图- 局图
[LCL = i - 2. 66ff [LCL<0
样本圮图兔图(成组)x-S图
大小x ± m i A i R X±E2R X ±A;S B.S fl4S n场场比2 1.880 2. 659 2.659—- 3.267 3L 187L772L954—N 568 40.796L457L 6282, 266 50.691 1.290 1.427■—— 2.089 60.5491+ 1840. 030 1.970 70. 509 1. 109 1. 1820. 118 1. 882 80. 432L054 1.0990. 185 1.815 90.412 1.010 1.0320.239L76t 100. 3630. 9750,9750. 284L716 110. 9270. 321 1.679 J20. 8860. 353 1.646 130. 8500. 382L.618 140.8170, 406t.594 150, 7890. 42S L572 160, 763& 44S L552 170. 739Q. 466J. 534 IB0.7180. 482L 518 190, 6980. 497L 503 200. 6800. 510L490
>20却宀)
1- 3
y/2n
1+丄。