Sosyal Bilimler için İstatik - I Formulas Some E203 Formulas 2 2 1 ( ) N i i X N m s = - = ? 1 2 (1 ) (1 ) ... (1 ) 1 n g n R R R R = + + + - 2 1 2 1 1 k i i k i i i i f X f X n s n = = ? ? ? ? ? ? - = - ? ? s CV x = 3 ( ) . k mean median S std dev - = ( 1) 4 q q L n = + ; ( 1) 10 d d L n = + ( 1) 100 p p L n = + ( or ) ( ) ( ) ( and ) P A B P A P B P A B = + - ( and ) ( | ) ( ) P A B P A B P B = 1 ( ) ( ) n i i i E X X P X = = ? ( ) 2 2 1 ( ) n i i i X P X s m = = - ? ( ) 2 2 ( ) E X E X s = - ( ) 2 2 2 ( ) ( ) E X E X s = - ! ( ) (1 ) !( )! x n x n P X x n x p p - = - - =binomdist(x;n;p ; 0 or 1) 1 ( )( ) N i x i y i xy X Y N m m s = - - = ? 1 ( ( ))( ( )) ( , ) n xy i i i i i i i X E X Y E Y P X Y s = = - - ? 1 1 ( , ) n m xy i j i j X Y i j X Y P X Y s m m = = = - ?? xy x y s r s s = ( ) ! x e P x x m m - = =poisson(x;m ;0 or 1) W aX bY = + ? [ ] X Y E W a b m m = + and 2 2 2 2 2 2 ( , ) W X Y a b abCov X Y s s s = + + min max max min 1 ( ) 0 otherwise if X x X X X f x ? £ £ ? - = ? ? ? min max ( ) 2 X X E X + = 2 max min ( ) ( ) 12 X X Var X - = 2 1 2 2 1 ( ) 2 x f x e m s ps - ? ? - ? ? ? ? = =normdist(a; m ; s ; 0 or 1) =norminv(p ; m ; s ) x z m s - = ( ) 0 t f t e for t l l - = > 1 1 ( ) and ( ) E t Var t l l = = ( ) 1 c P x c e l - £ = - , X N n s m ? ? ? ? ? ? ~ ( ) 1 ˆ , p N n p p p ? ? - ? ? ? ? ? ? ~ / 2 x z n a s – ; ,df s x t n a – ( ) / 2 ˆ ˆ 1 ˆ p p p z n a - – / x test statistic n m s - = / x test statistic s n m - = ˆ (1 ) p test statistic n p p p - = - =tdist(abs(t obs );df; 1 or 2) =tinv(a ; df) =chidist(a;df) =chiinv(a ; df) =fdist(a;df 1 ;df 2 ) =finv(a ;df 1 ;df 2 ) F a,df1,df2 =1/ F b,df2,df1