Rumus Korelasi Product Moment [PDF]

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ccccccc
c c c   c
c  c c c c c cc c
cc÷

  
   

  c cccccc cc cc c c cc c



  c  c c c   ccc
 c c 
 c c cc
 c c c c c
c  c
cc  cc c  cc
 c cc ! c
cc cc
 c  c   c c 
c "#   c cc$c c%c  c c cccccc&  c
c
 c'
 (
c)

ccc*c c 
c
 c'
 c  c  cc



cccc‫ݎ‬௫௬ ൌ



σ௫௬



c



ඥሺσ௫మ ሻሺσ௬ మ ሻ



cccc   c



cccc‫ݎ‬௫௬  ൌ




+ c
c cc$c cc% cc c
  c



cccccccccccccccccccccccc,-$'cc cc-c%'c cccσ‫ݕݔ‬ cc



ൌ. c  c,c  cc



cc‫ ݔ‬ଶ  ൌ



cccc‫ ݕ‬ଶ  ൌ



cc,cc,c ccccc



c 
c
 c'
 c  c



c c



ccccc



‫ݎ‬௫௬ ൌ



ேఀ௫௬షሺσೣሻ ሺσ௬ሻ



ටሺேఀ௫ మ ିሺσ௫ሻ మ ሺேఀ௬ మ ିሺఀ௬ሻమሻ



c



cccc   c c



ccccc‫ݎ‬௫௬ ൌ




+ c
c cc$c cc%c



cccccc*‫ ݔ‬cc-. c  c cc,c c%c cccccccσ‫ ݔ‬ଶ  ൌ —ŽƒŠ†ƒ”‹—ƒ†”ƒ–‹Žƒ‹c



cccccccσ‫ ݕ‬ଶ  ൌ —ŽƒŠ†ƒ”‹—ƒ†”ƒ–‹Žƒ‹c



cccccccሺσ‫ݔ‬ሻଶ ൌ —ŽƒŠ‹Žƒ‹‡—†‹ƒ†‹—ƒ†”ƒ–ƒc



ccccccሺσ‫ݕ‬ሻଶ ൌ —ŽƒŠ‹Žƒ‹‡—†‹ƒ†‹—ƒ†”ƒ–ƒc c /0%.10c



2  c   c  c   c c  c c    c  c   c c  c c   c   c c  c c 3c c  c c 2c   c    ccc4c3c c  c c c  cc cc  c c '#2125c /c c c c !c "c c 4c



.6'7#c &/18c%9c1':17c 4c ;c "c 4c 4c c =;4c cccccccccccc-4*c c



c



c cc)&c'/09#18609cc ?&/721cc&?6)8c'?'/08cc/090cc!




!!!c



ccc8 c c c c  c   c&  c
c
 c'
 c  cc09 c 2&cc c. c@ c cc c cc3c   cc$*c c  c cc   cc%c : cc

c c   c    c c+ 
+ 
c c  cc   c
c  c   c    c c
c 
 c '
 c   c 09 c 2&c ' @   c  c  c !' @   cc$c cc%c "'   c cc$c cc%c 4ccc 2c c   c   c + 
c  c   c c   c
c 
 c '
 c   c



c *c c







c c c



 cc  cc3c c  c   *c cc  c
c
 c'
 c  c



c c c ccc c



ccccccc



‫ݎ‬௫௬ ൌ



ேఀ௫௬షሺσೣሻ ሺσ௬ሻ



ටሺேఀ௫ మ ିሺσ௫ሻమ ሺேఀ௬మ ିሺఀ௬ሻమሻ



ൌ



cccccccccccccccccccc



ccccc



ሺଵ଴௫ହସଽሻିሺଵହହ௫ଷହǡଶሻ



ඥሺଵ଴௫ଶହଵଷሻିሺଵହହሻ మ ሺଵ଴௫ଵଶହǡଽ଴ሻିሺଷହǡଶሻమ



c



ଷସ c ccccccccccൌ ଵସ଼ǡହଵଵଽହଶସ cccccccccc-c4*;>=;4c cccccccccc-c4*c



  c   c c  c 3c 



  c   c c c   c  c    cc cc?c  c  c  c
c
 c
 ccc   c*c c   cc cc
c c*cc  c  c c  c c  c  ccc  c c )&c'/':/&1c108/&&/821c8/&#c‫ݎ‬௫௬ cc ccccccc6  c   c  c   c  c
+ c
c c  c *c  c  c c c c  c  c
 c  c8c0cc
 c '
 c 0 c   c c  c     c   c 
 c  c  c  c  c c  c ccccccc#c   c
c c  c c  





 c  @c c 

c c 
    ÷ *c c c   c
c   c Ac 1 c c 3c cc    c
( ccc$c  c c  c    c
( c c %c 2 *c @ c c $c  c    *c  c   c  c   c    cc%c 
  ÷ *ccc  c
c  cc cc  c c 1 c c 3c c    c 
( c c c $c   c  c   c



   c
( cc%c2 *cc
( ccc$c  *c c 
( ccc%c  c  c i ÷ ÷
*ccc  c
c  c4c cc  c4c #c  c c 3c  c   c 
( c  c c  c  c  c   c  c  c
( cc c cc
( cc$c  *c  c c c c  c  c  c   c
( cc %c  c @ c  c #c  c
c
 c
 c  c ccc  cAc.c  c cc  c
c
 c
 cccBcccAc c  c cCc*c c  c c@cc  c
 cc  c  c cc  c  c c c cccc c4*;44c(c*444cccccccccccccc-   c c



( c c ccc c4*