GOST ISO 11453-2005 Statistical methods Statistical interpretation of data Tests and confidence intervals relating to proportions《统计方法 数据统计解释 测试和与比例置信区间》.pdf

1、 ISO 11453:1996Statistical interpretation of data Tests and confidence intervals relating to proportions(IDT) , ()INTERSTATE COUNCIL FOR STANDARDIZATION, METROLOGY AND CERTIFICATION(ISC) 11453200512005/212, - 1.092 . - 1.297 . , . , , -, 1 - - ( ), 125 2 3 , (- 28 9 2005 .) : ( 3166) 00497 ( 3166) 0

2、0497 AZAMBYKZKGMDRUTJTMUZU - 4 11453:1996 . (ISO 11453:1996Statistical interpretation of data Tests and confidence intervals relating to proportions). - 1.5. (IDT). 29 2006 . 125- 114532005 12006 .5 ( ) - . () , . - c211 , 2006 -, II 1145320051 12 13 14 25 .26 27 37.1 .37.2 037.3 48 .58.1 . .58.2 .

3、p 0.88.3 . .129 189.1 4 F- .189.2 18 () . . 33 B () .35 () .45 D .45III 114532005 Statistical methods. Statistical interpretation of data.Tests and confidence intervals relating to proportions 200609011 , :a) , n , x . () - (. 8.1)?b) , a), - (. 8.2)?c) . - (. 8.3)?d) b) ), (. 7.2.3 7.3.3)?, . 10 %

4、, , -. 10 % , .2 : 3534.1:1993 . . 1: 3 3534.1, - :3.1 (target item): , .1 114532005 4 :c97 ;c162c97 ;(1 c97) ;c98 ;n; n1; n2 ; 1; 2;X ( );x X;p () ;pu, 0 p;pl, 0 p;pu, t p;pl,t p;T , ;Cl,0 H0: p c179 p0;Cu, 0 H0: p c163 p0;Cl,t H0: p = p0;Cu, t H0: = 0;p0 p;c162p p, Pa;Pa ;f1,f2 F-;F1, F2 c;Fq(f1,

5、f2) qF- f1 f2 ;z1, z2 ;uq q ;q, c104, K .5 p p n c x c36p c61xn. , , ,.6 p p 8.1 (A-1A-3). n, x (1 c97). - x. , (1 c97). (1 c97) - (1 c97/2). , c97/2 .2 1145320057 p7.1 B-1 B-3 (8.2) C-1 C-3 (8.3) . - , n ( n1 n2) . , , , . , , - . (-) H0( - H1), p0 :a) H0:pc179p0H1:p p0;c) H0:p=p0H1:pc185 p0. .,.,(

6、.7.2.2).7.2 07.2.1 :H0: p c179 p0;H0: p c163 p0;H0: p = p0, p0 , B-1 B-3. -, n, p c97. , B (8.2).7.2.2 ( , - ) A. (. 7.2.1) - p = p1, .7.2.3 n (, ), , H0(.7.2.1) . , ( c98) c98,p c162p . p0 c162p , c97,(1 c97), c97/2, (1 c97/2) 1 2 1 ( 2). 1 ( 2) 1 p0 2 c162p H0: p c179 p0c162p p01c97c98H0: p = p0c1

7、62p p01c97/2c98H0: p = p0c162p p2;b) , n1= n2= n. c97 , 1:1c98 = c70 (z u1 c97), c70 ;u1 c97 (1 c97);zn p n p nc61c230c232c231c246c248c247212 1212arcsin ( / ) arcsin ( / ) . H0: p1= p2- H1: p1 p2,c97 c97/2.7.3.3 n n1 n2 , , (1 c98), c97., H0: p1c163 p2. H0: p1= p2 H1:p1 p2, c97 c97/2. 5 6 2 c97 c98.

8、 , , . n = n1= n2. c97, p1, p2(1c98), 5 6, - , , , - r n1/n2 .nn rrn p p124211112c61c43c43c233c235c234c249c251c250c162 c43c162()( );n2= n1/r ;c162 c61c230c232c231c246c248c247c43c43 c43nurrpurpppprp1112221111() () ()(c97c98)p22;p =rp pr121c43c43;q =1p.4 1145320058 , - , , .8.1 . p8.1.1 A-1 p: : : 1 c

9、97 = n = x = a) n c163 301) x = npu,0=12) x 301) x =0pu,0=1c971/n=2) x = npu,0=13) 0 0 2 n, X = n x q =(1c97) :T1c97(n, n x)=pl, 0=1T1c97(n, n x)=b) n 301) x =0pl, 0=02) x = npl,0= c971/n=3) 0 0 2 n, X = n x q =(1c97/2) :T1c97/2(n, n x)=pl, t=1T1 c97/2(n, n x)=b) n 301) :-x =0pu, t=1(c97/2)1/n=-x = npu, t=1-030-x =0pu,0=1 c971/n= . 8.1.1 ) 1). H0, pu,0u1c97, .8 114532005 : H0 H0 Cl,0 x, B-1(II) H0. Cl,0 B-1(II) x, , 1, - H0,