KS Q ISO 3301-2006 Statistical interpretation of data-Comparison of two means in the case of paired observations《数据的统计解释 成对观测值情形下两个均值比较》.pdf

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1、 KSKSKSKS SKSKSKS KSKSKS SKSKS KSKS SKS KS 2006 10 10 KS Q ISO 3301 KS Q ISO 3301: 2006 Q ISO 3301: 2006 ( ) ( ) ( ) : : 2006 10 10 2006 0479 : : ( ) ( 02 509 7231null 3) . 7 5 , . ICS 03.120.30 KS Q ISO 3301: 2006Statistical interpretation of data Comparison of two means in the case of paired obser

2、vations 1975 1 ISO 3301 Statistical interpretation of data Comparison of two means in the case of paired observations . 1. 0 . 2. . 2.1 xi yi . ( , 2 ) ( , ) . 3. . , xi yi . ( ) xi ( ) yi . “ ” . , , . . . . . 4. . di xi yi . di xi yi . . . Q ISO 3301: 2006 2 100 . 5. . . . . . . . . . . . . . . .

3、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

4、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . : n : = ix = iy : = id : =2id : d0 : v n 1 : )(1=iiyxnd = idn1=222)(111iiddndns =2*dds =*11/)(dnvtA =*2/12/)(dnvtA : 20Add , d0( ) . : a) 10Add d0( ) . t1 (v) v t 1 . t1 (v)/ n 1 . Q ISO 3301: 2006 3 1 v n1 t1 (v) / n v n 1 nt975.0nt995.0nt95

5、0nt99.01 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 50 60 70 80 90 100 200 500 8.985 2.434 1.591 1.242 1.049 0.925 0.836 0.769 0.715 0.672 0.635 0.604 0.577 0.554 0.533 0.514 0.497 0.482 0.468 0.455 0.443 0.432 0.422 0.413 0.404 0.396 0.388 0.380 0.373 0.367 0

6、316 0.281 0.256 0.237 0.221 0.208 0.197 0.139 0.088 0 45.013 5.730 2.920 2.059 1.646 1.401 1.237 1.118 1.028 0.956 0.897 0.847 0.805 0.769 0.737 0.708 0.683 0.660 0.640 0.621 0.604 0.588 0.573 0.559 0.547 0.535 0.524 0.513 0.503 0.494 0.422 0.375 0.341 0.314 0.293 0.276 0.261 0.183 0.116 0 4.465 1.

7、686 1.177 0.953 0.823 0.734 0.670 0.620 0.580 0.546 0.518 0.494 0.473 0.455 0.438 0.423 0.410 0.398 0.387 0.376 0.367 0.358 0.350 0.342 0.335 0.328 0.322 0.316 0.310 0.305 0.263 0.235 0.214 0.198 0.185 0.174 0.165 0.117 0.074 0 22.501 4.021 2.270 1.676 1.374 1.188 1.060 0.966 0.892 0.833 0.785 0.744

8、 0.708 0.678 0.651 0.626 0.605 0.586 0.568 0.552 0.537 0.523 0.510 0.498 0.487 0.477 0.467 0.458 0.449 0.441 0.378 0.337 0.306 0.283 0.264 0.248 0.235 0.165 0.104 0 Q ISO 3301: 2006 4 . 2 (0.000 01 in) (copper lead) (white metal) i xiyi di xi yi1 2 3 4 5 6 7 8 9 Total 3.5 2.0 4.7 2.8 6.5 2.2 2.5 5.8

9、 4.2 34.2 1.5 1.3 4.5 2.5 4.5 1.7 1.8 3.3 2.3 23.4 2.0 0.7 0.2 0.3 2.0 0.5 0.7 2.5 1.9 10.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . : n 9 : = ix 3

10、4.2 = iy 23.4 : = id 10.8 : =2id 19.22 : d0 0 : v 8 : 0.01 2.1)4.232.34(91=d 5782.098.1022.198122=ds 6884.05782.0*=d 118.19/995.0=t 99.06884.0118.12=A 0 : : 99.02.10=dd 1 % . 6. . 1 , . , 2 . 1 . 2 Q ISO 3301: 2006 5 . n 1 di xi yi D d . n . 2 . 1 H0: D 0 D /d n 0.05 0.01 . . 1) , , . 2) . D 0 . 3)

11、0.05, 50 1/2 0.95 . n 20 D /d 0.78 0.95 . Q ISO 3301: 2006 6 1 (), 0.01 2 (), 0.05 Handbook of statistical tables, Addison Wesley D.B. OWEN . 2006 11 6 135 513 701 7 (02)6009 4567 (02)6009 4887null 8 http:/ 607 822 1 11( 10 ) (051)557 1239 Fax. (051)557 0430 702 845 2 1741( 3 ) (053)384 1562 4 Fax.

12、053)384 1565 790 380 627( 3 ) (054)278 9661 Fax. (054)278 9662 406 829 7 50( 16 ) (032)260 0260 7 Fax. (032)260 0268 443 766 906 5( 9 ) (031)259 7000 9 Fax. (031)259 7010 200 041 1 9( 304 ) (033)252 9423, 254 9423 Fax. (033)256 9423 361 802 1508 1( 6 ) (043)236 2451 3 Fax. (043)236 2454 305 343 23

13、14( 5 ) (042)864 2301 3 Fax. (042)864 2304 330 816 43 5( 1204 ) (041)589 0500 3 Fax. (041)589 0504 561 736 1 337 2( 7 ) (063)214 2235 7 Fax. (063)214 2238 506 301 621 15( 4 ) (062)953 1435 7 Fax. (062)953 1438 641 966 298 7 ( 6 ) (055)212 1212 Fax. (055)212 1213 683 804 758 2( 2 ) (052)289 6601 3 Fa

14、x. (052)289 6604 425 020 541 3( 4 ) (031)487 6191 4 Fax. (031)487 6195 730 350 92 30( 8 ) (054)473 6954 Fax. (054)473 6955 480 848 2 487 6( 3 ) (031)829 8182 4 Fax. (031)829 8185 KOREAN STANDARDS ASSOCIATION KSKSKSSKSKS KSKS SKS KSKS SKSKS KSKSKSKS Q ISO 3301: 2006 Statistical interpretation of dataCompariso n two means in the case of paired observationsICS 03.120.30

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