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    INFERENCIA ESTADSTICA

    FASE 2.2

    ANOVA Y PRUEBAS NO PARAMETRICAS

    Maurcio Mora MORA - 106!"6#6!

    FABIAN AU$USTO MO%INATu&or. I'()r)'cia E*&a+i*&ica

    $RUPO100,0" - 6

    UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIEscuela de Ciencias Bsicas, Tecnologa e Inge

    !""#"$ In%eencia Es&adis&ica201

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    UNADniea

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    TIPO DE MUESTREO

    MUESTRO ALEATORIOa)a&orio *i=) >M.A.S?

    1000

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    HORA DELLAMADA

    DURACINMINUTO

    NMERO DELLAMADAS

    =.(Inferior;Suerior!

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    DIA "#NERO CIUDAD ASESOR MOTI$O

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    %ECHA DECORTE

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    SATIS%ACCIN

    1"

    1

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    ,

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    REPORTE DURACION MINUTOS

    OBSER$ACION ASESOR ' ASESOR ASESOR ) TOTAL

    1 "1 2, 1!

    2 ," 1 ,0

    " ,1 2# 21, ," 0 2 2# ""6 ,0 ,1 ,

    MEDIA "# 2" 2# !0$ARIAN*A " 1" 1#

    DES$IACION 6.21 1".1 1,.0

    N 6 6 6 1#SUMA 22! 1"6 16 2#

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    ANO$A & PRUEBAS NO PARA

    ANALISIS DE $ARESUMEN

    "RUPOS CUENTAASESOR ' 6ASESOR 6ASESOR ) 6

    AN+LISISOrigen de las variaciones Suma de cuadrados Grados de libertad

    En,re -ruo. "6 2Den,ro /e 0o. -ruo. 21, 1

    To,10 22"0 1!

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    ETRICAS

    A*)*or E=r)*a KAKMauricio Lar)' 6Mi7u) !

    IAN*A DE UN %ACTOR

    SUMA PROMEDIO $ARIAN*A22! "# "1"6 2" 1"16 2# 1#

    E $ARIAN*AProm. cuadrados F Probabilidad Valor crtico para F

    1#.166666666! 0.12,2212," 0.##,0#"2 ".6#2"20","!1,6.2,,,,,,,,,

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    PRUEBAS NO PARAMETRICAS2 3! PRUEBA 4I5CUADRADO

    C0ien,e Con.u6o f(8i! Ei PASO 2.

    1 1"#" 0.1,"612 2,!00.262"1 62"!!.!#!"

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    6 20",!6 0.00,0, ,61.""#"1 ,16261,.2! 662# 0.02160, ,2626.2#!,2 !2,#,.101# 2!126 0.00#101 1#,.#!!# ,1"601261.0 12!16#2 0.002!00 "2#.2#2! "0"0!6."10 16"62, 0.000#102 1#.,#!!# 16!,0,"",11 !!",, 0.000221 ,".06!21" 1"!"#,1"12 2#!0" .2,E-00 10#.#!66#0" !!010061,01" #6"0 1.2!E-00 2.11000"1 1"6!#0#1#,1, 2,2"2 2.!"2E-006 ."#0006!6 ,#!"E0121 20!!221 .,6"E-00! 1.0!!0001" 0"01E01216 1,!,02 1.02,E-00! 0.20210622 !0E01"1! 2#20#20 1.#0#E-00# 0.0"66#0" "100E01,1# 161# ".01"E-00 0.00,,"01 1E01,

    1 16!!021 ,.!!E-010 0.000"#!" 6,6E0120 21,2 !.1"E-011 0.0001,0!#61 ,2E016

    21 260"1 1.01E-011 2.0112"0E-00 #E01!22 106! 1."0E-012 2.!,2#6E-006 ,"1E01

    2" 20!!"!, 1.#1"E-01" ".!!2#6E-00! 012, 1016 2.266E-01, ,.,!160#E-00# 66E012 6""## 2.!20E-01 ".!#0E-006 22E0126 60!1, ".1"#E-016 6.11,!E-010 E01#

    2! 6,6 ".,#!E-01! 6.#!"!E-011 22# 2!02#2 ".!"6E-01# !."!0!#2E-012.#2E02"

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    "" 62!,0 ".1#!E-02" 6.2##0,E-01!6.21"E02", 62#02 2.#12E-02, .,0""E-01#1.6!0,E02" 20#2, 2.,11E-02 ,.!6"1,E-01.11#"E0"0"6 1!#221 2.00E-026 ".6"E-020#.0,0!2E0"1"! 22##"6# 1.62E-02! ".21"!26E-0211.62,6E0""

    "# 1##!#," 1.2#6E-02# 0 ;DIV0" 1,"16 .#1E-0"0 1.16E-02"1.0006E0"",0 2###22 !.,1E-0"1 1.,6"!,2E-02,.!01!,E0"6,1 1!61"6 .,2#E-0"2 1.0!10"0E-02".6,61"E0"!,2 2!#612 ".#!!E-0"" !.6021!E-02!1.02"!E0"," 16,0 2.!0E-0", .""!"61E-02#.02!E0",, 16",#0 1.#,,E-0" ".6"110E-02!.",,02E0"#, 1162! 1.2"0E-0"6 2.,260!"E-0"0.!"12E0",6 1,,6!2 #.01E-0"# 1.6!!#0E-0"11.2,6E0,",! 16#!#! .11E-0" 0 ;DIV0,# "#02 ".1E-0,0 6."120,E-0",1.,,12!E0,, 16#, 1.E-0,1 ".#6,2"E-0"!.0,#E0,60 26", 1.1!E-0,2 2."1#!1,E-0"6".#!201E0,#1 ,!#,0 6.1"E-0,, 1.,,6"0E-0"!1.#2,"E0,#2 12"010 ".##E-0, !.#6#"#E-0"1.226E00" "66,2 2.2!E-0,6 ,.,,116E-0,0".01,2E00, 1,22! 1.2,E-0,! 2.62,002E-0,1!.!1,!!E02

    1!,"66 6.#,1E-0, 1.,"12!,E-0,22.!2""E0,6 22,20" ".66E-00 !.66!"E-0,,6.#!E0! 12,# 1.2E-01 ".#06"6E-0,.!"60E0,# 12#1! .!6E-0" 0 ;DIV0 2!16# .0!"E-0, 1.000##E-0,!!.!#6E060 226! 2."6E-0 .00,,#E-0,1.2!,E06161 1"2# 1.2,!E-06 2.,6122,E-00.,6!0E06162 26#600# 6.0"6E-0# 1.101E-016.0#06E06"6" 2#22 2.#!,E-0 .6!102"E-0"1.,0!2E066, 01 1.",!E-060 2.6#22E-0,1."11!E06"6 2#,122 6.21#E-062 1.2260,E-06.#26#E06!66 22,0! 2.#26E-06" .!6#"6E-0!.,,0,1E06#6! 1!0,2"! 1.266E-06, 2.,!01E-0#1.16"12E0!06# 10#60"1 .#"E-066 1.1016#E-01.0!06"E0!16 2!6#"# 2.,2#E-06! ,.!##16E-0611.#00#E0!"!0 12#2 1.0,0E-06# 2.02!!#E-062#.1#02E0!"

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    !1 1111 ,."6E-0!0 #.6!"!11E-06,1.,,,12E0!"!2 2#2!10 1.#"2E-0!1 ".61,0,6E-062.2116E0!!!" 11","20 !.2!E-0!" 1.,#22E-066#.66"21E0!!!, #,60! ".02E-0!, 6.0211#1E-06#1.1#!6E0!! 2,211!6 1.221E-0! 2.,0#,!2E-062.,""E0#1

    !6 2!2622 ,.#1#E-0!! .0!12!E-0!1!.#1!6"E0#2!! 1"1102 1.#!!E-0!# ".!0,0!6E-0!2,.6,022E0#1!# #62,#1 !.220E-0#0 1.,2,6,,E-0!".221,!E0#,! 6#106 2.!,2E-0#1 .,100,2E-0!#.6!1E0##0 261! 1.02#E-0#2 2.02#!66E-0!6".,!#E0###1 6"#"0! ".#0#E-0#, !.1",#E-0!#.,22"E0###2 20#62 1.""E-0# 2.!,00E-0!".16!,E01#" ,!61 .0"6E-0#! 0 ;DIV0#, 6#22! 1.!E-0## ".,#6"0E-0#2.0#!#E02# 20!"0 6.",#E-00 1.22,#E-0#"".120"E0"#6 2!",1, 2.21,E-01 ,."60"#E-0#1.!1262E0!#! 1!!!6 !.6"6E-0" 1.066E-0#61.610!"E0### !,1 2.60"E-0, .1"6016E-0##1.0#122E0# 111116 #.!!,E-06 1.!"12,2E-0#!.1"16E1000 2262!! 2.2E-0! .!!0#0E-01.1"!1#E1021 12##2 .6,2E-0 1.02,6"E-02#.",",1E10"2 111!! ".1,,E-100 6.20"6#,E-0,2."1#02E10

    " 20!6, 1.01,E-101 2.0011##E-0".1,!E10!, 126!1, ".2"!E-10" 6."#6!!2E-0!2.1,0!E10# 26#0"!1 1.022E-10, 2.016#!E-0#".621,E1106 1#2",,! ".1,E-106 6."02!"E-100.2!,2E111! 10"!26 .##0E-10# 1.,"00E-101.11E112# 26"6!,, ".02,E-10 .6!2,,E-10"1.1610E11 1!2,2 .16E-111 1.#0#26E-10,2.110E116100 2022!1 2.!,E-112 .,2,!6!E-106#.066E11!101 2!##0! #.16!E-11, 1.611"1!E-10!,.#61,,E11102 1!2,60 2.,02E-11 ,.!"16!E-106.2!62E12010" 1"21122 6.6E-11! 1."#0",0E-1101.26,,,E12210, 20!1" 2.01#E-11# ".#1!0E-1121.!#!1E12,10 "1"! .!66E-120 1.1"!6,"E-11"1.0#,0E12,106 2"0#6 1.6"2E-121 ".21!,,E-111.62E12!10! ",#2,# ,.!E-12" .02!"20E-11!1.",",,E12!10# 2,0#60 1.2!1E-12, 2.0!#E-11#2."1",,E1"0

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    10 "101 ".,#E-126 6.01620E-1201.""#2E1"0110 11!0#1 .,0E-12# 1.##2260E-121!."",E1"2111 2!002#6 2.!#E-12 .0#!10E-12"1.,"""1E1"112 2000,! 6.06E-1"1 1."626,0E-12,".20!6E1"611" 1122!,0 1.#",E-1"2 ".61!62#E-126".,#,,E1"!

    11, 206""! ,.#2E-1", .200!E-12#,.,!21E1"11 2##10 1.2E-1" 2.,#",#E-12".!1#E1,1116 0!,, ".2E-1"! 6.,22#"E-1"1".#2"0E1,111! 16,6# #.",!E-1" 1.6,6##2E-1"21.!,,,6E1,,11# 226#20 2.122E-1,0 ,.1#6##E-1",1.220E1,611 2#6010 ."0E-1,2 1.0,"E-1"!.!,!6E1,!120 11#"! 1.""!E-1," 2.6"###E-1"!."2,!0E1,#121 !2#!, "."16E-1, 0 ;DIV0122 ##,! #.1,E-1,! 1.60##,2E-1,0,.#!"2#E1112" 106002 1.#E-1,# ".2,00,E-1,2.2#00E1"12, 2#6"#" ,.#12E-10 .,"#E-1,,!.0,62"E112 10"0 1.1E-11 2.2!#,,E-1,,.660!E12126 21##! 2.!,E-1" .,2,#0E-1,!1.!06"E112! 2#211 6.,E-1 1.2#1,!0E-1,#6.2106E16012# !2!!2 1.22E-16 ".00",,6E-101.!621E16112 12#6#0 ".,0E-1# 6.#,!!E-12".",66E16"1"0 1,0# #.16E-160 1.611#6!E-1"2.",!1#E16"

    1"1 !#!!0, 1.#!1E-161 ".612E-11.6#02E1661"2 "",# ,.22E-16" #."#"1E-1!1."!"E16!1"" !!,#, .1E-16 1.#2"2!E-1#".1!2#1E161", 2#26 2.1,!E-166 ,.2"62E-1601.2,",E1!21" "#0# ,.!!2E-16# .,1,61E-162".0!,0E1!21"6 6,0 1.0"E-16 2.0!6!,1E-16"2."2,E1!,1"! ,#1!11 2."0E-1!1 ,.,!60E-16.102#E1!1"# 2#6!6 .011E-1!" .##6106E-16!#."1"E1!#1" ,0!6 1.0#1E-1!, 2.1""62E-16#,.1,!#E1!1,0 26#!2, 2."1!E-1!6 ,.!21!E-1!01.!!2E1#21,1 20#2#21 ,."0E-1!# .!2#0!E-1!2,.,,0E1#"1,2 !," 1.0,2E-1! 2.022#E-1!"2.#0!02E1#,1," 1!2, 2.1#E-1#1 ,."1166!E-1!!.1,!!"E1#61,, 212"22 ,."E-1#" #.#26,0E-1!!.01#66E1##1, ,6,6# .,1E-1# 1.##,!!E-1!#1.161##E1#1,6 20# 1."E-1#6 ".#1#!#E-1#01.110!E12

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    1,! 110,6 ".0E-1## !.!",,6E-1#21.!"E1"1,# "662 #.00!E-10 1.!!"E-1#"#.01"E1"1, 61!# 1.612E-11 ".1#0!10E-1#1.200!,E1610 ,26 ".22,E-1" 6."61,20E-1#!,.#226E1!11 1"",, 6.,06E-1 1.26"##E-1##1.,020E200

    12 1#0 1.26,E-16 2.,,,!E-101.066E2011" 126#" 2.,!E-1# ,.#102E-12!.0!6E20"1, 22110# ,.#2E-200 .2#102E-1,.1"00E201 202#6!1 .",!E-202 1.#,,1,E-12.2"166E20!16 6,220 1.!!E-20" ".,6,,0E-1!1."#,E20#1! "6!02 ".,"E-20 6.!!66"!E-11.##E201# 20166 6.21E-20! 1.2#6!0"E-200".16#,E2121 2!0,#, 1.2"0E-20# 2.,2!!,2E-202".01"#E21,160 10#10", 2."0!E-210 ,.2016E-20,2.6!2E21161 2,"#6## ,.2E-212 #.,#201!E-206!.011,E21!162 1!!!"# !.61E-21, 1.!0!,,E-20!2.0116E2116" 1!"1 1.,6E-21 2.#0,0E-201.06"1!E22116, 26#66 2.6#0E-21! .2##"0E-2111."6!#E22"16 21012#0 ,.#!"E-21 .610E-21",.21"E22,166 16!1!1 #.#0!E-221 1.!"!66E-21,1.60!E22616! 12211!2 1.#2E-222 ".12160E-216,.!!!2E22!16# ,0!"" 2.#2E-22, .!,21E-21#2.!66E22#

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