4

         4 ޺з data

   
 

1.   ũ ļ ()

       1)   Ҵ

       2)   

       3)   лм

       4)   

       5)   ǰ ް

2.   ý ( )

       1)   Ҵ

       2)   

       3)   лм

       4)   

 

 

1)   ũ ļ (ұ)  

   1)  Ҵ                                                  

  ũ ǰ νļ 5 ڸ Ͽ ǥ Ҵϰ, ǿ 3 , , Ϸ зߴ.

       

  ,  A   B չ,  E ̹ ߴ.
  
 

: ǥ L9 ϰ ǰ 迡 ϸ ȥ ǥ L12 , L18 Ѵ. ȣۿ ̸,  ⼭ ޺з ؼ չ, ̹ ؼ ϵ ڴ.  

, , Ͽ з 쿡
               0,       1,     ϸ 2
ȭϿ Ư ϰ ؼϴ ص , ⼭ Ͽ ÿ μ ľѴ.

켱 ǥ ´ .   

 

   2)                                                       

߿䵵 W1   W2 Ѵ. հ 7, հ 16, ü 27̹Ƿ
               W1 = 272 / { 7 × ( 27 - 7 ) } = 5.21
            
  W2 = 272 / { 16 × ( 27 - 16 ) } = 4.14 
  
ST ST = ( × ؼϴ ) Ͽ
               ST = 27 × 2 = 54     (f = 52)
  
f = 26 × 2 = 52 ̴.
            
  CT = ( 72 × W1 + 162 × W2 ) / 27 = 48.71    (f = 1 × 2 = 2)
   
(AB) S(AB)
            
  S(AB) = { ( 12 + 22 + 42 ) × W1 + ( 32 + 52 + 82 ) × W2 } / 9 - CT
            
          = 8.53      (f = 2 × 2 = 4)

SA  SB Ѵ. A (AB)1 (AB)2 , B (AB)1 (AB)3 . 2̹Ƿ 2 ϴ Ͽ
            
  SA = ( A1 B1 - A2 B1 )2 / ( A1 B1, A2 B1 )
, Ѵ,
               SA = { (1 - 2)2 × W1 + (3 - 5)2 × W2 } / 18 = 1.21
    (f = 1 × 2 = 2)

               SB = { (1 - 4)2 × W1 + (3 - 8)2 × W2 } / 18 = 8.36     (f = 1 × 2 = 2)
SC   SD Ѵ.
            
  SC = { (02 + 32 + 42) × W1 + (22 + 52 + 92) × W2 } / 9 - CT = 16.36   
                         (f = 2 × 2 = 4)
               SD = { (52 + 12 + 12) × W1 + (62 + 32 + 72) × W2 } / 9 - CT = 10.16
  
                         (f = 2 × 2 = 4)
E ̹ ǹǷ

            
  SE = ( E1 + E1 )2 / ( E1, E1 ݺհ ) + E22 / E2 ݺ - CT
߿䵵 ϸ
            
  SE = [ { (1 + 2)2 / 18 + 42 / 9 } × W1 + { (5 + 5)2 / 18 + 62 / 9 }] × W2 - CT
            
       = 2.72     (f = 1 × 2 = 2)
E
1 E1 ̴ 谣 Se1 Ǹ
            
  Se1 = { (1 - 2)2 × W1 + (5 - 5)2 × W2 } / 18 = 0.29    (f = 2)
̻ հϸ 谣 S T1 ȴ.
  
            ST1 = 1 / 3 × { ( 02 + 02 + 12 + + 12 )× W1
                            + ( 0
2 + 02 + 32 + + 32 ) × W2 } - CT
                      = 38.06
   (f = 8 × 2 = 16)  

ؼ κ 谣 ̾. ׷ ó ̹ ߵ ST 54̰ 52̴. ̴ 9 3ȸ Ǯ̰ ִµ ̴. 跮̶ Ǯؼ ͸ Ǻ Ǯ Ϳ SN ϳ Ư ̹Ƿ ؼ 󿡼 Ǯ̰ 1 ̴.

no.1 3ȸ  1ȸ ʴ. ⼭
               02 + 02 + 02 - ( 0 + 0 + 0 )2 / 3 = 0
̴ . 3ȸ Ǯص ٴ ̴. no.2 ~ no.9 ؼ ϰ ̸ հϸ
               Se2 () = (0 - 02 / 3) + (0 - 02 / 3) + (1 - 12 / 3) + + (1 - 12 / 3)
            
             = 7 - {(02 + 02 + + 12 ) / 3}
ؼ Ͽ
            
  Se2 () = 16 - (02 + 02 + + 32 ) / 3
ִ. ̸ ߿䵵 ϸ
            
  Se2 = ST - ST1 = 15.94    (f = 18 × 2 = 36)
. ̰ Ǯ ̴.     迡 3ȸ Ǯ ̹Ƿ 1 2, 9ȸ 迡 18 ̴. , ʿ 18̹Ƿ 18 × 2 = 36 ȴ.

 

   3)  лм                                                                       

̻ лмǥ .   

e1 e2 2 Ǵܹ 켱 e1 e2 θ Ѵ. e1 e2 Ƿ e2 ʷ pool Ѵ. A1, e1 e2 poolѴ. ̰ (e)̴.
   A ȿ ִٸ (AB) ڴ B ִ. , B L
9 1 ̹ Ҵ . ׷Ƿ ̸ ļ B E
            
  SB = ( B2 + B1 )2 / 18 + B22 / 9 - CT
μ ϴµ  pool SA ϴ ϴ.
            
  SB = S(AB) - SA = 7.32    (f = 1 × 2 = 2)

ٽ лмǥ Ͽ .    

׸ ⿩
               B = ( SB - fB Ve ) / ST × 100 = 11.9 (%)
            
  C = ( SC - fC Ve ) / ST × 100 = 27.1 (%)
            
  D = ( SD - fD Ve ) / ST × 100 = 15.6 (%)
            
  E = ( SE - fE Ve ) / ST × 100 = 3.4 (%)
            
  e = { Se + ( fB + fC + fD + fE ) Ve } / ST × 100 = 42.0 (%)
μ ߴ .

 

     4)                                                               

ȿ ū B, C, D, E ǥ ޺ Ѵ.   

 

   5)  ǰ ް                       

߽Ͽ B2 C3 D1 E2 Ѵ.    D D1 D2 Ǵϱ 쵵 ִ. D1 D3 Ʒ ̴. ׷ ⼭ C3 Ʒ ̴ ̹Ƿ D1 ߴ.
  

               = B2 + C3 + D1 + E2 - 3T
ϸ饰 100% Ѵ ȴ.
               = 44.4 + 44.4 + 55.6 + 44.4 - 3 × 25.9 = 111.1 (%)
̰ Ȯ ̻ ̴.
  

0~100% Ѱ谡 ִ Ư ʾ ״ ϴ ġ 찡 . ҷ̶ Ư غ  ҷ 2% ̸ 1% ̴ ƴ. ׷ 30% 29% ̴ ʴ. 1% ٸ. Ʒ ׸ % ̴ A B ̰ ϶. ̸ ׸ 0~100% ؼ ȿ յϵ ȯϴ ް ȯ̴.

 
ް ȯ        p = - 10 log (1 / p - 1)

̰ ȯ 2% 1% ϴ ȿ ް () -16.901 -19.995 ϴ ȿ̸, ̰ 30% 29% ϴ ȿ (-3.679 -3.888 ϴ ȿ) 15迡 ϰ ǹǷ, ô ְ ȴ.

ٸ, 谪 ü 쿡 ̰ ȯ ʾƵ ȴ.

̰ ް ()μ ϸ ú
            
  (dB) = B2 + C3 + D1 + E2 - 3 × T (dB)
μ ִ . ̸ , ϰ ȴ. е ؼ ƴ϶ ݵ ϴ . B2, C3, D1, E2, T ۼƮ ú ǥ д.

ǥ
                   () dB = - 0.976 - 0.976 + 0.977 - 0.976 - 3 × (-4.564) = 11. 741
            
  () = 93.7 (%)
              
    () dB = 9.036 + + 3.017 + 3.017 - 3 × 1.635 =
          
    () = 100 (%)
, , 93.7%, 100%, 100% , , 93.7%, 6.3%, 0% ȴ.

 


 

2)   ý

 

   1)  Ҵ .                                                

Ŭġ ̱ Ͽ ڸ äϱ Ͽ .

 

  B C ϸ, ȿ , ȣۿ B×C, D×F ֵ ǥ L27 ġϿ. 27 ǿ 3 110ȸ ̴.   1 = 10ȸ, 2 = 20ȸ, , 10 = 100ȸ, 11 = 110ȸ Ͽ ؿ ۵Ѵٸ 1, Ǿٸ 0 ߴ. 110ȸ° ۵Ǿٸ 11 1̴.  

   
 

     

         

   2)   .                                                    

            Sm = 4762 / (27 × 3 × 11) = 254.29
               ST = 476
   (f = 891)
               ST1 = 1 / 33 × (32 + 202 + 152 + + 332 ) - S m = 120.31    (f = 26)
               ST2 = 1 / 11 × (12 + 12 + 12 + 42 + + 112 ) - S m = 134.79    (f = 80)
S
T1 27ȸ 谣 , S
T2 81 ̴.
               SA = (1202 + 1692 + 1872 ) / 297 - 254.29 = 8.10
               S(BC) = (1552 + 1902 + 1312 ) / 297 - 254.29 = 5.92
               SB = (1552 - 1312 ) / 594 = 0.97
               SC = (1552 - 1902 ) / 594 = 2.06
               SD = (952 + 1572 + 2242 ) / 297 - 254.29 = 28.03
               SE = (1802 + 1752 + 1212 ) / 297 - 254.29 = 7.21
               SD × E = (382 + 382 + + 542 ) / 99 - 254.29 - SD - SE = 5.50
    (f = 4)
               SF = (702 + 2362 + 172 ) - 254.29 = 47.04     (f = 2)
               SD × F = (102 + 382 + + 802 ) / 99 - 254.29 - SD - SF = 12.60    (f = 4)
               SG = (1602 + 1492 + 1672 ) / 297 - 254.29 = 0.55
               Se1 = ST1 - (SA + S(BC) + + SG) = 5.36
    (f = 6)
               Se2 = ST2 - ST1 = 134.79 - 120.31 = 14.48     (f = 54)
               S = (812 + 682 + + 322 ) / 27 - Sm - SA - S = 2.26
   (f = 20)
               SA × = (272 + 202 + + 142 ) / 27 - Sm - SA - S = 2.26
   (f = 20)
               SG × = (272 + 222 + + 122 ) / 27 - Sm - SG - S = 1.10
    (f = 20)
               Se3 = ST - (Sm + ST2 + S + SA × + + SG × ) = 19.98    (f = 600)

 

   3)  лм.                                                        

 

  лмǥ Ѵ. ⼭ e2 e3 , e1 e2 ϴ. ǥ ڴ e1 poolѴ. Ƿ ְ ߿ο ؼ ϸ, ǥô e3 poolѴ. ̷ ؼ .

    

 

    4)                                                          

лмǥ m, A, C, E ȿ, D, F, 3 ǥ Ѵ.
               T = 476 / 891 = 0.534 ± 0.071       { ± (4.67 × 0.95 / 891) = ± 0.071}
               A1 = 120 / 297 = 0.404 ± 0.122
               A2 = 169 / 297 = 0.569 ± 0.122
               A3 = 187 / 197 = 0.630 ± 0.122
               C
1 = 286 / 594 = 0.481 ± 0.086
               C
2 = 190 / 297 = 0.640 ± 0.122          
               E
1 = 180 / 297 = 0.606 ± 0.122
                E
2 = 175 / 297 = 0.589 ± 0.122
                E
3 = 121 / 297 = 0.407 ± 0.122

   

D, F 2ǥ ŷѰ Ve1
               ± (4.67 × 0.95 / 99) = ± 0.212
ȣۿ뿡 ؼ ǥ 9 ļ D1F12 ؼ
               1 / 9 ± (3.85 × 0.0423 / 9) = 0.111 ± 0.135
    A3C2D2E1F2 Ȥ A3C2D3E1F2 ̴. D3F2, D2F2 100%̹Ƿ, ʿ , Ȯν (test) ϴ .

⼭ Ÿ ؼ A2C2D1E3F2 Ѵ.
               = D1 F2 + A2 + C2 + E3 - 3 T
dB Ѵ.
               A2 = 0.569        1.21 (dB )
               C2 = 0.640        2.50 (dB )
               E3 = 0.407      - 1.63 (dB )
                T = 0.534          0.59 (dB )
D1F21,   D1F22, ,  D1F211 dB
               , , 9.04, -0.98, -5.44, -9.04, , -9.04
̹Ƿ ̵鿡
               A2 + C2 + E3 - 3 T = 1.21 + 2.50 - 1.63 - 3 × 0.59 = 0.31
Ͽ
               , , 9.35, -0.67, -5.13, -8.73, , -8.73
ŷڻ dB ؼ ̴ .
               ± = ± [ 4.343 / {T (1-T) } × ( F × V1 / n1 + F × V3 / n3 ) ]
                     = ± [ 4.343 / (0.534 × 0.466) × (4.67 × 0.95 × 13.5/891
                                                                      + 3.85 × 0.0423 × 90/891) ] = ± 5.05

ǥ .

 

    1, 2 100.0
                   1 - 1/2 × 22.5/891 dB - 5.05 = 13.90   (dB)
ؼ 96.0% ߴ.
      n1, n2 ȿݺ̴.
               1/n1 = {1(m) + 2(A) + 0.5(C2 ) + 2(E) + 8(D1 F2 ) } / 891 = 13.5 / 891
               1/n2 = {10() + 20(D×) + 20(F×) + 40(D×F×) } / 891 = 90 / 891
    ȿݺ <4 1 Ư > Ѵ.