Kamys B Statystyczne metody opracowania pomiarów 1


E
E
E "
‚"
‚" ‚"
+
-
·
E -
, , ...
( ) E
(-", )
( | )
( · )
( | ) =
( )
( ) = - ( )
+ = E ( + ) = (E) =
( + ) = ( ) + ( )
( ) = (E) - ( ) ( ) = - ( )
(") =
E " (E + ") = (E) + (")
E + " = E (E + ") = (E) (") =
( ) d" ( )
( ) = ( + ( · )) = ( ) + ( · ) e" ( )
d" ( ) d"
" ‚" + " = = · E ‚" E
" E
d" ( ) d"
+
( + ) = ( ) + ( ) - ( · )
+
+ = + ( - · )
= · + ( - · ),
( + ) = ( ) + ( - · ),
( ) = ( · ) + ( - · )
( + ) = ( ) + ( ) - ( · )
·
( · ) = ( ) · ( | ) = ( ) · ( | )
( | ) = ( )
·
( | ) = ( )
( · ) = ( ) · ( )
, ...
( ) = ( ) · ( | )
= ·
( ) = ( ·
( ) · ( | )
"
"
"
( ) a" ( < )
d" ( ) d"
(-") =
(+") =
( )
( )
( ) = d" ,
= / < d" ,
= / < d" ,
= / < d" ,
= / < d" ,
= / < d" ,
= >
( = , , ...)
( = ) =
=
= / = , ..
( ) a" ( d" d" + )
( ) e"
( )
+"
( ) =
-"
( )
( ) =
( ) = ( / )
[ , ]
Å„Å‚
<
òÅ‚
( ) = /( - ) d" d"
ół
>
= ( )
( )
= ( )
( ) = ( ( ))
( ) = ( < )
= ( ( ) < )
= ( ( ))
( ) = - ( ( )) - ( ; = ( ))
( ) = ( < )
= ( ( ) > )
= - ( ( ) d" )
= - ( ( ) < ) - ( ( ) = )
= - ( ( )) - ( ; = ( )) . . . .
( ) = ( ; = ( ))
( )
( ) = ( ( )) | |
( ) ( )
( ) = ( d" < + )
( d" < + ) = ( )
/
( )
( ) = +
-
( = ) = ( + = ) = ( = )
-
> ( ) = =
- -
< ( ) = - = - =
-
( ) = ( = )
| |
( ) =
" "
( ) = ( = ) = ( = - ) + ( = + )
( ) = ( < ) = ( < )
" "
= (- < < + )
( ) = d"
" "
( ) = ( ) - (- ) e"
( ) = <
-
" "
( ) = | | ( ) + (- )
" "
" "
= ( ( ) + (- )) e"
"
( < ) a" ( ) =
. .
.
( )
( )
( ) a" ·
( ) a" · ( )
( )
( )
( · ) = · ( )
" ( ) =
" ( · ) = · ( )
" ( + ) = ( ) + ( )
, ...,
= { }
( , , .., ) = ( ) · ( )... ( )
= ( ) ( )
( )
( ) = ( ) · , ( ) = ( ) · ( ) ·
( ) a" {( - ) }
( ) a" ( - ) · ( ) ·
( ) a" ( - ) ( )
=
=
µ
a" ( ); µ a"
µ
à ( ) ( )
( )
Ã( )
à ( ) a" ( - ( )) ·
à ( ) a" ( - ( )) · ( ) ·
à ( ) = -
à ( ) = ( ) - ( )
( ( )) a" (( - ( )) )
= ( - · ( ) + ( ))
= ( ) - ( ) · ( ) + ( )
= ( ) - ( )
" ( ) = ( ) - ( ) = - =
" ( · ) = · ( )
" ( · + ) = · ( )
" ( · ) = · ( )
( = · ) a" ( - ( ))
· ( - ( ))
( - ( )) = ( ) - ( ) =
· ( - ( ))
-
(| - ( ) |e" · Ã( )) d"
( , , .. ; ¸) ¸
(¸)
¸ , , ..
¸
(¸)
(¸) >
(| (¸) - ¸ |< ) =
"
( )
(| / - ( ) |< ) =
"
( (¸) = ¸) =
"
/
( )
( ( / ) = ( )) =
"
(¸) ¸
( (¸)) = ¸
= ( (¸)) - ¸
=
"
(¸) ¸ (¸)
( (¸)) (¸)
-( - )
"
( ) =
Ä„
( , )
( ) =
Ã( ) =
( , ) a" ( ( ), Ã( ))
( ( ) - Ã( ) < < ( ) + Ã( )) = .
( ( ) - Ã( ) < < ( ) + Ã( )) = .
( ( ) - Ã( ) < < ( ) + Ã( )) = .
( , )
= ( - ( ))/Ã( )
( , )
( , )
( , )
= " +
"
"
"
= /
"
,
Á = /( · · )
= -
( )
"
"
"
"
"
"
A
V
A
V
"
"
"
( , Ã( ))
-
"
( ) =
à ( )
Ä„ Ã( )
"
"
"
Ã( )
( , Ã( ))
= +
( ) ( )
-( - )
"
( ) =
à ( )
Ä„ Ã( )
"
"
Ã
"
( )
( ( )) a" =
=
"
"
( ) = ( ) = ( · ( )) = ( )
( ) = ( )
"
( )
( )
Ã( )
"
( ),
"
"
" Ã(
(Å»)
"
( ) a" Ã( )
( ) a" ( - )
=
-
( ) a" ( - )
=
-
“( )
-
( ) a" · ( )
“( )
( ) ( )
.
( )
/( - ) /( - . )
-
- .
( ) a" (Å»)
"
"
"
"
= ( ( ) Ä… ( )) ( )
( ) a" · ( )
d" d"
=
"
( )
( ) a" · ( )
"
Ä…
Ä…
=
"
H"
"
H"
"
"
"
" [ , ]
" [ , ]
[ , ]
"
( ) = /( - )
"
"
( ) a" Ã( ) = ( - )/( ).
( - )/ a" " "
"
( ) = " / .
!
( ) = ( - ) - ; = , , ..
!( - )!
( ) = ·
Ã( ) = · · ( - )
( ) a" ·
"
"
"

( ) = (-)
!
( ) = 
"
Ã( ) = 
Ã
( ( )) =
"
( ) a" (Ã( )) =
( ) ( )
"
( ) a" ( )/ =

 = 

=

( a" ( )) =
, , ..,
, , ..,
, , ..
, , ...,
( ( ( , , .. ))) = ( , , ..., )
( ( , , .. )) H" ( , , ..., )
, , ..,
, , ..,
"
Ã( ) H" · Ã ( )
"
=
=
" , , ..
"
=

" Ã ( )
( )
(
"
"( ) H" |" | · "( )
=
"( )
"
"
= · +
, = , , ..
, , ,
= ( - · - )
=
= · +
= · +
"
"
Ã( )
( , )
( - Å» )
=
( ) =
( - Å» )
=
( ) = Å» - ( ) · Å»
a" /Ã ( ), Å» a" / , Å» a" /
= = = =
à ( ( )) = / ( - Ż )
=
Å»
à ( ( )) = +
( - Å» )
= =
( - Å» )
à ( ( )) = +
( - Å» )
= =
"
Ã( )
( ) · ( ) - ( ) · ( · )
( ) =
· ( · ) - ( ) · ( )
( ) =
a" · - ( )
(Ã( )) = Ã( ) ·
(Ã( )) = Ã( ) ·
( - )
(Ã( ( ))) = Ã( ) · +
( - )
( )
" (Ã( ( ))) ( )
" Ã( )
"
, , ...
"
( )
(Ã( ( )))


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