Poblac. Muestra y Variable

7/25/2019 Poblac. Muestra y Variable

1/28

UNIVERSIDAD NACIONAL DEL ALTIPLANO PUNOESCUELA DE POSGRADO

MAESTRA EN GEOTECNIA Y GEOMECNICA MINERA

CAPITULO VPOBLACIN, MUESTRA Y VARIABLES

Por: M.Sc. Ing. Es!"#n, M#r$n

P#%c#r#


2/28

POBLACIN

Con&%no '! o'os (os c#sos)%! conc%!r'#n con %n#

s!r*! '! !s+!c*c#c*on!s. Con&%no '! s%&!os, o"&!oso +roc!sos )%! con-or#n(# s*%#c*/n +ro"(!0*c#,o*1o '! *n1!s*g#c*/n.


3/28

POBLACIN

En !s#'$s*c# s! '!no*n#+o"(#c*/n o %n*1!rso #(

con&%no '! o'#s (#so"s!r1#c*/n +os*"(!s )%!c#r#c!r*2#n #( o"&!o.

Un# +o"(#c*/n +%!'! s!rn*# o *nn*#.


4/28

MUESTRA

Es (# +orc*/n o +#r!r!+r!s!n#*1# '! (# +o"(#c*/n

s%sc!+*"(! '! (# *n1!s*g#c. L# +orc*/n '!"! +os!!r o'#s (#sc#r#c!r$s*c#s '! +o"(#c*/n, '!

#n!r# )%! # +#r*r '! !((os s!+%!'! g!n!r#(*2#r (os 3#((#2gos+#r# (# +o"(#c.


5/28

MUESTRA

D!"!n s!rr!+r!s!n#*1#s, 4 (os

5r*nos #( #2#r 4#(!#or*o '!no#n %n

*+o '! +roc!'**!no!c0n*co r!(#c*on#'ocon (# +ro"#"*(*'#' 4 con


6/28

TAMA6O DE MUESTRA

P#r# '!!r*n#r !( ##7o '!%!sr# nos +r!g%n#os:8C%0( !n n9!ro $n*o '! (#s%n*'#'!s '! #n0(*s*s

Es! n9!ro !s !( ##7o '!%!sr#.N; T##7o '! (# +o"(#c*/nn ; T##7o '! (# %!sr#.


7/28

TAMA6O DE MUESTRA

P#r# %n %!sr!o +ro"#"*($s*co s*+(!:L# -/r%(# !s:

n ; S?@+

+; Pro"#"*(*'#' ; . +or n*1!( '!s*gn*c#c. V


8/28

TAMA6O DE MUESTRA

Lo c%#( s! #&%s# s* s! conoc! !(##7o '! (# +o"(#c*/n >N. Eso!s:

nn;

? n=N n; ##7o '! %!sr# #&%s#'o


9/28

TAMA6O DE MUESTRA

P#r# %!sr!o s*s!0*co ,1#r*#n! '!( %!sr!o #(!#or*o:(# -/r%(# !s:

F ; N=n ;*n!r1#(o '! %n*'#'!s '! (#

(*s# *n*c*#(.N ;##7o '! +o"(#c*/n.n ;##7o '! (# %!sr#.


10/28

TAMA6O DE MUESTRA

NOTA:En c#so '! )%! !(1#(or *n*c*#( H F,

!nonc!s no s! +%!'!co+(!#r (# %!sr# 4

s! '!"! con*n%#r 3#s#co+(!#r !(+roc!'**!no.


11/28

TAMA6O DE MUESTRA

P#r# %!sr!o #(!#or*o s*+(! con r!!+(#2oo +o"(#c*/n *nn*#: (# -/r%(# !s:

n ; >


12/28

TAMA6O DE MUESTRA

P#r# %!sr!o #(!#or*o s*+(! s*n r!!+(#2oo +o"(#c*/n n*#: (# -/r%(# !s:

n ; > @ < >N @ ?


13/28

TAMA6O DE MUESTRA

S!g9n T#"(#s +#r# '!n*r%!sr# !n %n# +o"(#c*/n: T#"(#s!g9n Dr. Or(#n'o Mosco! E&.:P#r# %n !rror '! ,.

N ; Q S ; N ; ? Q S ;

N ;


14/28

TIPOS DE MUESTREO

S! c#!gor*2# !n < gr#n'!sr##s:

M%!sr!o +ro"#"*($s*cos


15/28

TIPOS DE MUESTREO

M%!sr!os Pro"#"*($s*cos:M%!sr!o +ro"#"*($s*co s*+(!


16/28

TIPOS DE MUESTREO

M%!sr!o +ro"#"*($s*co s*+(!:*n'*c# nW

M%!sr!o +ro"#"*($s*c#!sr#*c#'#: C#'# !(!!no*!n! (# *s# +ro"#"*(*'#' '!

s!r !scog*'o, !s n!c!s#r*o!sr#*c#r (# %!sr# #!sr#os o c#!gor$#s )%! s!

+r!s!n#n !n (# +o"(#c*/n.


17/28

TIPOS DE MUESTREO

M%!sr!o +ro"#"*($s*co +orr#c*os: R!'%c! cosos,

*!+o 4 !n!rg$# #(cons*'!r#r (#s %n*'#'!s '!#n0(*s*s s! !nc%!nr#n!nc!rr#'#s !n '!!r*n#s(%g#r!s -$s*cos o

g!ogr0cos # (o )%!


18/28

TIPOS DE MUESTREO

M%!sr!o no +ro"#"*($s*co>%!sr#s '*r*g*'#s: S%+on!n %n+roc!'**!no '! s!(!cc*/n

*n-or#( 4 #r"*r#r*o. L# s!(!cc*/n '! (os s%&!os no'!+!n'! '! )%! o'os *!n!n (#

*s# +ro"#"*(*'#' '! s!r!(!g*'os, s*no '! (# '!c*s*/n '!(*n1!s*g#'or.


19/28

TIPOS DE MUESTREO

En !s# c(#s! '! %!sr!os! *!n!:M%!sr# '! s%&!os 1o(%n#r*osM%!sr# '! !+!rosM%!sr# '! s%&!os *+osM%!sr# +or c%o#s


20/28

VARIABLES

Son (os #s+!cos oc#r#c!r$s*c#s c%#(*#*1#s o

c%#n*#*1os )%! son o"&!o'! "9s)%!'# r!s+!co # (#s%n*'#'!s '! #n0(*s*s.

Es %n# +ro+*!'#' )%! +%!'!1#r*#r, +%!'! #')%*r*r '*1!rsos1#(or!s, 4 c%4# 1#r*#c*/n !s

s%sc!+*"(! # !'*c*/n.


21/28

IDENTIXICACIN DEVARIABLES

S! '!"! !n!r !n c%!n# (os*g%*!n!:

P#r# *n*c*#r !( #n0(*s*s 3#4)%! *'!n*c#r # )%5

1#r*#"(!s '!( o"&!o '!conoc**!no corr!s+on'!(# *n-or#c*/n o"!n*'#.


22/28

I'!n*c#c*/n '!1#r*#"(!s

En !( '*s!7o, !( *n1!s*g#'or'!!r*n# !( %so '!( #n0(*s*s

4 (# *n'%cc*/n coo 5o'o'! (# *n1!s*g#c*/n. To#r c=% '! (#s +r!g%n#s

4 '!scr*"*r(o (os r!s%(#'oso"!n*'os.


23/28

I'!n*c#c*/n '!1#r*#"(!s

D!"! !s#"(!c!rs! (#r!(#c*/n !nr! c#'# '#o

o"!n*'o !n (# *n-or#c*/n4 !nr! (#s 1#r*#"(!s. Es#"(!c!r (# r!(#c*/n !nr!1#r*#"(!s 4 '! *g%#( #n!r#1!r*c#r s% *nZ%!nc*#.


24/28

I'!n*c#c*/n '!1#r*#"(!s

Con (# r!(#c*/n 4 !+(*c#c*/n !nr! (os$!s 4 (#s 1#r*#"(!s s! '!"!:

Es#"(!c!r s* !sos r!s%(#'os

co+r%!"#n o no (#s 3*+/!s*s-or%(#'#s. C%+(!n o no con (os o"&!*1os '!(

!s%'*o. R!s+on'!n # (#s +r!g%n#s +(#n!#'os

!n !( '*s!7o '! (# *n1!s*g#c*/n.


25/28

OPERACIONALIACION DEVARIABLES

Cons*%4! %n con&%no '!+roc!'*. )%! '!scr*"! (#s#c*1*'#'!s % o+!r#c*on!s'!"!n r!#(*2#rs! +#r# !'*r

%n# 1#r*#"(!, )%! *n'*c#n (#!*s!nc*# '! %n conc!+o!/r*co !n H o [ gr#'o.


26/28


cr*!r*os +#r# !1#(%#r %n#'!n*c*/n o+!r#c*on#(:

Opeacionalizacin


27/28


C%#'ro: O+!r#c*on#(*2#c*/n '!1#r*#"(!s

V#r*#"(!>s

D*!ns*/n>!s

In'*c#'or>!s

C#!gor$#>s

n'*c!>s

Insr%!no>s

V.I.QQQ

V.D.QQQ

Or#s1#r*#"(

!sQQQ


28/28

MUCHAS

GRACIAS

Documents

Poblac. Muestra y Variable