1、 KSKSKSKSKSKSKSK KSKSKS KSKSK KSKS KSK KS KS A ISO 2602 KS A ISO 2602:2008 2008 11 11 http:/www.kats.go.krKS A ISO 2602:2008 : ( ) ( ) ( ) : KS ( ) ( ) : (http:/www.standard.go.kr) : : 2008 11 11 2008-0760 : : KS ( 02-509-7230) (http:/www.kats.go.kr). 10 5 , . KS A ISO 2602:2008 i .1 1 2 2 2 3 2 4 .
2、2 5 .2 5.1 .2 5.2 .3 6 .3 6.1 .3 6.2 4 7 .5 A( ) .8 KS A ISO 2602:2008 Statistical interpretation of test result Estimation of the mean Confidence interval 1980 1 ISO 2602, Statistical interpretation of test results Estimation of the mean Confidence interval , . . , , . ( ) . ISO 2854 ( ) . 1 2 ( )
3、1 2 ( , .) 1 2 1 2 . ( ) ( , ) 2 , . 3 . , , . , , . . KS A ISO 2602:2008 2 ( .) . 95 % 99 % . 1 . 2 ( ) . ( ) ( , , ) . , m , . . . 1) . . , . . . n . ISO 2854 . 3 KS A ISO 3534( ), ISO 2854, Statistical treatment of data Problems of estimation and tests of means and variances 4 KS A ISO 3534 . 5 5
4、.1 , n xi(i 1, 1) .KS A ISO 2602:2008 3 2, 3, , n) . m n x . =niixnx115.2 ( , 50 ), . , . i , i ni . k , . =kiinn1 i yi . m . =kiiiynnx11 =kiiiynny11 . 6 . . 6.1 6.1.1 . =niixxns12)(11 xi : i (i 1, 2, 3, , n) n : x 5.1 n . , . KS A ISO 2602:2008 4 =niniiixnxns12121116.1.2 , . 21)(11yynnsiiki= , . =k
5、ikiiiiiynnynns1122)(111 yi : i (i 1, 2, 3, , k) k : n : y 5.2 . , s (“ ”) . , . 6.2 (95 % 99 %) , . 6.2.1 . a) 95 % sntxmsntx975.0975.0+ b) 99 % sntxm99.0+ , x y . t0.975, t0.995, t0.95, t0.99 v n 1 t . v n 1 . 1 . . ntntntnt99.095.0995.0975.0, n 60 , 2 120/n t . n 250 n120 0.48 t0.995 2.576 0.48(2.
6、617 2.576) 2.596 t0.995 2.576 0.48 (2.617 2.576) . 7 7.1 5.1 5.2 . (95 % 99 %) , 6.2.1 6.2.2 . . KS A ISO 2602:2008 6 1 t1 t1 / n 95 % 99 % 95 % 99 % n t0.975t0.995t0.95t0.992 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 12.71 4.303 3.182 2.776 2.571 2.447 2.
7、365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.024 2.008 2.000 63.66 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.
8、787 2.779 2.771 2.763 2.756 2.707 2.680 2.664 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.682 1.676 1.673 31.82 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.
9、718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.430 2.404 2.393 95 % 99 % 95 % 99 % n nt975.0nt995.0nt95.0nt99.02 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 8.985 2.484 1.591 1.242 1.049 0.92
10、5 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 0.320 0.284 0.258 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 0.5
11、59 0.547 0.535 0.524 0.513 0.503 0.428 0.379 0.344 4.465 1.686 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 0.266 0.237 0.216 22.5014.021 2.270 1.676 1.374 1.188 1.060 0.966 0.892 0.8
12、33 0.785 0.744 0.708 0.668 0.651 0.627 0.605 0.586 0.568 0.552 0.537 0.523 0.510 0.498 0.487 0.477 0.467 0.658 0.449 0.384 0.340 0.309 KS A ISO 2602:2008 7 2 120/n n n120t0.975t0.995t0.95t0.9960 120 2 1 0 2.000 1.980 1.960 2.664 2.617 2.576 1.673 1.658 1.645 2.393 2.358 2.326 120/n . KS A ISO 2602:2
13、008 8 A ( ) x1x2xn w xn x1 . , 12 . . . . a) 95 % wqxmwqx975.0975.0+ b) 99 % wqxm99.0+ 99.095.0995.0975.0, qqqq 3 . KS A ISO 2602:2008 9 3 95 % 99 % 95 % 99 % n q0.975q0.995q0.95q0.992 3 4 5 6 7 8 9 10 11 12 6.353 1.304 0.717 0.507 0.399 0.333 0.288 0.255 0.230 0.210 0.194 31.828 3.008 1.316 0.843 0
14、.628 0.507 0.429 0.374 0.333 0.302 0.277 3.157 0.885 0.529 0.388 0.312 0.263 0.230 0.205 0.186 0.170 0.158 15.910 2.111 1.023 0.685 0.523 0.429 0.366 0.322 0.288 0.262 0.241 : E. Lord, t (Biometrika. Vol. 34. 1947. pp.41 67) , q0.95(n 2) . 135513 7017 (02)60094114 (02)600948878 http:/ Korean Agency for Technology and Standards http:/www.kats.go.kr KS A ISO 2602:2008 KSKSKS SKSKS KSKS SKS KS SKS KSKS SKSKS KSKSKS Statistical interpretation of test results Estimation of the mean Confidence interval ICS 03.120.30