Aula baseada na aula de Joel Schneider em Regressão Logística

Dados do teste zulliger
Trabalhando a variável diagnóstico
library(haven)
library(Hmisc)
## Loading required package: lattice
## Loading required package: survival
## Loading required package: Formula
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 3.3.2
## 
## Attaching package: 'Hmisc'
## The following objects are masked from 'package:base':
## 
##     format.pval, round.POSIXt, trunc.POSIXt, units
setwd("~/Dropbox (Personal)/R Stat")
bd_zulliger <- read_sav("bd_zulliger.sav")

names(bd_zulliger)
##   [1] "CodSuj"      "Série"       "Sexo"        "Datanasc"    "Diagnóstico"
##   [6] "Observações" "Ano_nasc"    "Idade"       "Série_cat"   "Idade_cat"  
##  [11] "Observação"  "grupo"       "Diagn1"      "Diagn2"      "Diagn3"     
##  [16] "Diagn4"      "R"           "R1"          "R2"          "R3"         
##  [21] "W"           "D"           "Dd"          "S"           "dq#"        
##  [26] "dqo"         "dqv"         "dqv#"        "MH"          "FM"         
##  [31] "mi"          "MHa"         "MHp"         "FMa"         "FMp"        
##  [36] "ma"          "mp"          "a_ctv"       "p_ass"       "ma_ctv"     
##  [41] "mp_ass"      "Mov_ap"      "fqx#"        "fqxo"        "fqxu"       
##  [46] "fqx_"        "Popular"     "F"           "FC"          "CF"         
##  [51] "C"           "Cn"          "FCA"         "CAF"         "CA"         
##  [56] "FT"          "TF"          "T"           "FV"          "VF"         
##  [61] "V"           "FY"          "YF"          "Y"           "FD"         
##  [66] "i2i"         "fr"          "H"           "iHi"         "Hd"         
##  [71] "iHdi"        "Hx"          "A"           "iAi"         "Ad"         
##  [76] "iAdi"        "An"          "Art"         "Ay"          "Bl"         
##  [81] "Bt"          "Cg"          "Cl"          "Ex"          "Fi"         
##  [86] "Food"        "Geo"         "Hh"          "Ls"          "Na"         
##  [91] "Sc"          "Sx"          "Xy"          "DV_neolog"   "DV_rdund"   
##  [96] "DR_frsinad"  "DR_crcuns"   "Incom"       "Fabcom"      "Contam"     
## [101] "Alog"        "Psv_msm"     "Psv_cont"    "Psv_mec"     "Confab"     
## [106] "AB"          "AG"          "COP"         "MOR"         "PER"        
## [111] "CP"          "WDA"         "Afr"         "FC_CFC"      "FC_CFC2"    
## [116] "lambda"      "F_PC"        "FAC1"        "FAC2"        "FAC3"       
## [121] "FAC4"        "FAC5"        "FAC6"        "FAC7"        "FAC8"       
## [126] "FAC9"        "FAC10"       "r_cat"       "RES_1"       "DQ#FQx_"    
## [131] "DQoFQx_"     "DQvFQx_"     "DQv#FQx_"    "Mfqx#"       "Mfqxo"      
## [136] "Mfqxu"       "Mfqx_"       "MH_"         "WDfqx#"      "WDfqxo"     
## [141] "WDfqxu"      "WDfqx_"      "Sfqx_"       "HR_Resp"     "HRStep1"    
## [146] "HRStep2"     "HRStep3"     "HRStep4"     "HRStep5"     "HRStep6"    
## [151] "HRStep7"     "GHR"         "PHR"         "Blends"      "N_BREAK"    
## [156] "EB"          "EBBruto"     "EA"          "es"          "Dscore"     
## [161] "Adj_es"      "Adj_D"       "Sum_FM"      "Sum_m"       "Sum_CA"     
## [166] "Sum_V"       "Sum_T"       "Sum_Y"       "Pure_C"      "Sum_C"      
## [171] "WSumC"       "WSumC2"      "CA_WSumC"    "CAWSumC2"    "Sum_S"      
## [176] "ProjCor"     "BlendsR"     "GPHR"        "IsolateR"    "IsolateR2"  
## [181] "A_P"         "A_P2"        "MA_MP"       "MA_MP2"      "Sum_H"      
## [186] "Pure_H"      "Intelect"    "Sum6"        "WSum6"       "M_"         
## [191] "XA_PC"       "WDA_PC"      "X_._PC"      "S_._PC"      "P_PC"       
## [196] "X#_PC"       "Xu_PC"       "fqxa"        "W_PC"        "D_PC"       
## [201] "dd_PC"       "W_M"         "W_Mbruto"    "W_M_a"       "W_M_b"      
## [206] "W_M_c"       "W2"          "MH2"         "W_M2"        "W_MCat"     
## [211] "dq#_PC"      "dqo_PC"      "dqv#_PC"     "dqv_PC"      "SUM_PSV"    
## [216] "Egocentr"    "Egocentr2"   "Sum_Rf"      "Sum_FD"      "Sum_MOR"    
## [221] "An_Xy"       "interpes"    "interpes2"   "critcont"
table(bd_zulliger$Diagn2)
## 
##   1   2   3   4   5   6   7   8   9 
##  14  18  13  18  12  10 220  81  89
attributes(bd_zulliger$Diagn2)
## $format.spss
## [1] "F8.0"
## 
## $class
## [1] "labelled"
## 
## $labels
## Alc Dep Smt Eqz Pnc Toc Nrm Unv Sel 
##   1   2   3   4   5   6   7   8   9
vec <- names(attributes(bd_zulliger$Diagn2)$labels)
vec <- vec[bd_zulliger$Diagn2]
str(vec)
##  chr [1:475] "Nrm" "Nrm" "Nrm" "Nrm" "Nrm" "Nrm" "Nrm" ...
library(psych)
## 
## Attaching package: 'psych'
## The following object is masked from 'package:Hmisc':
## 
##     describe
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
diag <- dummy.code(vec)
diag
##        Alc Dep Eqz Nrm Pnc Sel Smt Toc Unv
##   [1,]   0   0   0   1   0   0   0   0   0
##   [2,]   0   0   0   1   0   0   0   0   0
##   [3,]   0   0   0   1   0   0   0   0   0
##   [4,]   0   0   0   1   0   0   0   0   0
##   [5,]   0   0   0   1   0   0   0   0   0
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## [237,]   0   1   0   0   0   0   0   0   0
## [238,]   0   1   0   0   0   0   0   0   0
## [239,]   0   1   0   0   0   0   0   0   0
## [240,]   0   1   0   0   0   0   0   0   0
## [241,]   0   1   0   0   0   0   0   0   0
## [242,]   0   1   0   0   0   0   0   0   0
## [243,]   0   1   0   0   0   0   0   0   0
## [244,]   0   1   0   0   0   0   0   0   0
## [245,]   0   1   0   0   0   0   0   0   0
## [246,]   0   1   0   0   0   0   0   0   0
## [247,]   0   1   0   0   0   0   0   0   0
## [248,]   0   1   0   0   0   0   0   0   0
## [249,]   0   1   0   0   0   0   0   0   0
## [250,]   0   1   0   0   0   0   0   0   0
## [251,]   0   1   0   0   0   0   0   0   0
## [252,]   0   1   0   0   0   0   0   0   0
## [253,]   0   0   1   0   0   0   0   0   0
## [254,]   0   0   1   0   0   0   0   0   0
## [255,]   0   0   1   0   0   0   0   0   0
## [256,]   0   0   1   0   0   0   0   0   0
## [257,]   0   0   1   0   0   0   0   0   0
## [258,]   0   0   1   0   0   0   0   0   0
## [259,]   0   0   1   0   0   0   0   0   0
## [260,]   0   0   1   0   0   0   0   0   0
## [261,]   0   0   1   0   0   0   0   0   0
## [262,]   0   0   1   0   0   0   0   0   0
## [263,]   0   0   1   0   0   0   0   0   0
## [264,]   0   0   1   0   0   0   0   0   0
## [265,]   0   0   1   0   0   0   0   0   0
## [266,]   0   0   1   0   0   0   0   0   0
## [267,]   0   0   1   0   0   0   0   0   0
## [268,]   0   0   1   0   0   0   0   0   0
## [269,]   0   0   1   0   0   0   0   0   0
## [270,]   0   0   1   0   0   0   0   0   0
## [271,]   0   0   0   0   1   0   0   0   0
## [272,]   0   0   0   0   1   0   0   0   0
## [273,]   0   0   0   0   1   0   0   0   0
## [274,]   0   0   0   0   1   0   0   0   0
## [275,]   0   0   0   0   1   0   0   0   0
## [276,]   0   0   0   0   1   0   0   0   0
## [277,]   0   0   0   0   1   0   0   0   0
## [278,]   0   0   0   0   1   0   0   0   0
## [279,]   0   0   0   0   1   0   0   0   0
## [280,]   0   0   0   0   1   0   0   0   0
## [281,]   0   0   0   0   1   0   0   0   0
## [282,]   0   0   0   0   1   0   0   0   0
## [283,]   0   0   0   0   0   0   1   0   0
## [284,]   0   0   0   0   0   0   1   0   0
## [285,]   0   0   0   0   0   0   1   0   0
## [286,]   0   0   0   0   0   0   1   0   0
## [287,]   0   0   0   0   0   0   1   0   0
## [288,]   0   0   0   0   0   0   1   0   0
## [289,]   0   0   0   0   0   0   1   0   0
## [290,]   0   0   0   0   0   0   1   0   0
## [291,]   0   0   0   0   0   0   1   0   0
## [292,]   0   0   0   0   0   0   1   0   0
## [293,]   0   0   0   0   0   0   1   0   0
## [294,]   0   0   0   0   0   0   1   0   0
## [295,]   0   0   0   0   0   0   1   0   0
## [296,]   0   0   0   0   0   0   0   1   0
## [297,]   0   0   0   0   0   0   0   1   0
## [298,]   0   0   0   0   0   0   0   1   0
## [299,]   0   0   0   0   0   0   0   1   0
## [300,]   0   0   0   0   0   0   0   1   0
## [301,]   0   0   0   0   0   0   0   1   0
## [302,]   0   0   0   0   0   0   0   1   0
## [303,]   0   0   0   0   0   0   0   1   0
## [304,]   0   0   0   0   0   0   0   1   0
## [305,]   0   0   0   0   0   0   0   1   0
## [306,]   0   0   0   0   0   0   0   0   1
## [307,]   0   0   0   0   0   0   0   0   1
## [308,]   0   0   0   0   0   0   0   0   1
## [309,]   0   0   0   0   0   0   0   0   1
## [310,]   0   0   0   0   0   0   0   0   1
## [311,]   0   0   0   0   0   0   0   0   1
## [312,]   0   0   0   0   0   0   0   0   1
## [313,]   0   0   0   0   0   0   0   0   1
## [314,]   0   0   0   0   0   0   0   0   1
## [315,]   0   0   0   0   0   0   0   0   1
## [316,]   0   0   0   0   0   0   0   0   1
## [317,]   0   0   0   0   0   0   0   0   1
## [318,]   0   0   0   0   0   0   0   0   1
## [319,]   0   0   0   0   0   0   0   0   1
## [320,]   0   0   0   0   0   0   0   0   1
## [321,]   0   0   0   0   0   0   0   0   1
## [322,]   0   0   0   0   0   0   0   0   1
## [323,]   0   0   0   0   0   0   0   0   1
## [324,]   0   0   0   0   0   0   0   0   1
## [325,]   0   0   0   0   0   0   0   0   1
## [326,]   0   0   0   0   0   0   0   0   1
## [327,]   0   0   0   0   0   0   0   0   1
## [328,]   0   0   0   0   0   0   0   0   1
## [329,]   0   0   0   0   0   0   0   0   1
## [330,]   0   0   0   0   0   0   0   0   1
## [331,]   0   0   0   0   0   0   0   0   1
## [332,]   0   0   0   0   0   0   0   0   1
## [333,]   0   0   0   0   0   0   0   0   1
## [334,]   0   0   0   0   0   0   0   0   1
## [335,]   0   0   0   0   0   0   0   0   1
## [336,]   0   0   0   0   0   0   0   0   1
## [337,]   0   0   0   0   0   0   0   0   1
## [338,]   0   0   0   0   0   0   0   0   1
## [339,]   0   0   0   0   0   0   0   0   1
## [340,]   0   0   0   0   0   0   0   0   1
## [341,]   0   0   0   0   0   0   0   0   1
## [342,]   0   0   0   0   0   0   0   0   1
## [343,]   0   0   0   0   0   0   0   0   1
## [344,]   0   0   0   0   0   0   0   0   1
## [345,]   0   0   0   0   0   0   0   0   1
## [346,]   0   0   0   0   0   0   0   0   1
## [347,]   0   0   0   0   0   0   0   0   1
## [348,]   0   0   0   0   0   0   0   0   1
## [349,]   0   0   0   0   0   0   0   0   1
## [350,]   0   0   0   0   0   0   0   0   1
## [351,]   0   0   0   0   0   0   0   0   1
## [352,]   0   0   0   0   0   0   0   0   1
## [353,]   0   0   0   0   0   0   0   0   1
## [354,]   0   0   0   0   0   0   0   0   1
## [355,]   0   0   0   0   0   0   0   0   1
## [356,]   0   0   0   0   0   0   0   0   1
## [357,]   0   0   0   0   0   0   0   0   1
## [358,]   0   0   0   0   0   0   0   0   1
## [359,]   0   0   0   0   0   0   0   0   1
## [360,]   0   0   0   0   0   0   0   0   1
## [361,]   0   0   0   0   0   0   0   0   1
## [362,]   0   0   0   0   0   0   0   0   1
## [363,]   0   0   0   0   0   0   0   0   1
## [364,]   0   0   0   0   0   0   0   0   1
## [365,]   0   0   0   0   0   0   0   0   1
## [366,]   0   0   0   0   0   0   0   0   1
## [367,]   0   0   0   0   0   0   0   0   1
## [368,]   0   0   0   0   0   0   0   0   1
## [369,]   0   0   0   0   0   0   0   0   1
## [370,]   0   0   0   0   0   0   0   0   1
## [371,]   0   0   0   0   0   0   0   0   1
## [372,]   0   0   0   0   0   0   0   0   1
## [373,]   0   0   0   0   0   0   0   0   1
## [374,]   0   0   0   0   0   0   0   0   1
## [375,]   0   0   0   0   0   0   0   0   1
## [376,]   0   0   0   0   0   0   0   0   1
## [377,]   0   0   0   0   0   0   0   0   1
## [378,]   0   0   0   0   0   0   0   0   1
## [379,]   0   0   0   0   0   0   0   0   1
## [380,]   0   0   0   0   0   0   0   0   1
## [381,]   0   0   0   0   0   0   0   0   1
## [382,]   0   0   0   0   0   0   0   0   1
## [383,]   0   0   0   0   0   0   0   0   1
## [384,]   0   0   0   0   0   0   0   0   1
## [385,]   0   0   0   0   0   0   0   0   1
## [386,]   0   0   0   0   0   0   0   0   1
## [387,]   0   0   0   0   0   1   0   0   0
## [388,]   0   0   0   0   0   1   0   0   0
## [389,]   0   0   0   0   0   1   0   0   0
## [390,]   0   0   0   0   0   1   0   0   0
## [391,]   0   0   0   0   0   1   0   0   0
## [392,]   0   0   0   0   0   1   0   0   0
## [393,]   0   0   0   0   0   1   0   0   0
## [394,]   0   0   0   0   0   1   0   0   0
## [395,]   0   0   0   0   0   1   0   0   0
## [396,]   0   0   0   0   0   1   0   0   0
## [397,]   0   0   0   0   0   1   0   0   0
## [398,]   0   0   0   0   0   1   0   0   0
## [399,]   0   0   0   0   0   1   0   0   0
## [400,]   0   0   0   0   0   1   0   0   0
## [401,]   0   0   0   0   0   1   0   0   0
## [402,]   0   0   0   0   0   1   0   0   0
## [403,]   0   0   0   0   0   1   0   0   0
## [404,]   0   0   0   0   0   1   0   0   0
## [405,]   0   0   0   0   0   1   0   0   0
## [406,]   0   0   0   0   0   1   0   0   0
## [407,]   0   0   0   0   0   1   0   0   0
## [408,]   0   0   0   0   0   1   0   0   0
## [409,]   0   0   0   0   0   1   0   0   0
## [410,]   0   0   0   0   0   1   0   0   0
## [411,]   0   0   0   0   0   1   0   0   0
## [412,]   0   0   0   0   0   1   0   0   0
## [413,]   0   0   0   0   0   1   0   0   0
## [414,]   0   0   0   0   0   1   0   0   0
## [415,]   0   0   0   0   0   1   0   0   0
## [416,]   0   0   0   0   0   1   0   0   0
## [417,]   0   0   0   0   0   1   0   0   0
## [418,]   0   0   0   0   0   1   0   0   0
## [419,]   0   0   0   0   0   1   0   0   0
## [420,]   0   0   0   0   0   1   0   0   0
## [421,]   0   0   0   0   0   1   0   0   0
## [422,]   0   0   0   0   0   1   0   0   0
## [423,]   0   0   0   0   0   1   0   0   0
## [424,]   0   0   0   0   0   1   0   0   0
## [425,]   0   0   0   0   0   1   0   0   0
## [426,]   0   0   0   0   0   1   0   0   0
## [427,]   0   0   0   0   0   1   0   0   0
## [428,]   0   0   0   0   0   1   0   0   0
## [429,]   0   0   0   0   0   1   0   0   0
## [430,]   0   0   0   0   0   1   0   0   0
## [431,]   0   0   0   0   0   1   0   0   0
## [432,]   0   0   0   0   0   1   0   0   0
## [433,]   0   0   0   0   0   1   0   0   0
## [434,]   0   0   0   0   0   1   0   0   0
## [435,]   0   0   0   0   0   1   0   0   0
## [436,]   0   0   0   0   0   1   0   0   0
## [437,]   0   0   0   0   0   1   0   0   0
## [438,]   0   0   0   0   0   1   0   0   0
## [439,]   0   0   0   0   0   1   0   0   0
## [440,]   0   0   0   0   0   1   0   0   0
## [441,]   0   0   0   0   0   1   0   0   0
## [442,]   0   0   0   0   0   1   0   0   0
## [443,]   0   0   0   0   0   1   0   0   0
## [444,]   0   0   0   0   0   1   0   0   0
## [445,]   0   0   0   0   0   1   0   0   0
## [446,]   0   0   0   0   0   1   0   0   0
## [447,]   0   0   0   0   0   1   0   0   0
## [448,]   0   0   0   0   0   1   0   0   0
## [449,]   0   0   0   0   0   1   0   0   0
## [450,]   0   0   0   0   0   1   0   0   0
## [451,]   0   0   0   0   0   1   0   0   0
## [452,]   0   0   0   0   0   1   0   0   0
## [453,]   0   0   0   0   0   1   0   0   0
## [454,]   0   0   0   0   0   1   0   0   0
## [455,]   0   0   0   0   0   1   0   0   0
## [456,]   0   0   0   0   0   1   0   0   0
## [457,]   0   0   0   0   0   1   0   0   0
## [458,]   0   0   0   0   0   1   0   0   0
## [459,]   0   0   0   0   0   1   0   0   0
## [460,]   0   0   0   0   0   1   0   0   0
## [461,]   0   0   0   0   0   1   0   0   0
## [462,]   0   0   0   0   0   1   0   0   0
## [463,]   0   0   0   0   0   1   0   0   0
## [464,]   0   0   0   0   0   1   0   0   0
## [465,]   0   0   0   0   0   1   0   0   0
## [466,]   0   0   0   0   0   1   0   0   0
## [467,]   0   0   0   0   0   1   0   0   0
## [468,]   0   0   0   0   0   1   0   0   0
## [469,]   0   0   0   0   0   1   0   0   0
## [470,]   0   0   0   0   0   1   0   0   0
## [471,]   0   0   0   0   0   1   0   0   0
## [472,]   0   0   0   0   0   1   0   0   0
## [473,]   0   0   0   0   0   1   0   0   0
## [474,]   0   0   0   0   0   1   0   0   0
## [475,]   0   0   0   0   0   1   0   0   0
table(diag)
## diag
##    0    1 
## 3800  475
bd_zulliger <- cbind(bd_zulliger, diag)
names(bd_zulliger)
##   [1] "CodSuj"      "Série"       "Sexo"        "Datanasc"    "Diagnóstico"
##   [6] "Observações" "Ano_nasc"    "Idade"       "Série_cat"   "Idade_cat"  
##  [11] "Observação"  "grupo"       "Diagn1"      "Diagn2"      "Diagn3"     
##  [16] "Diagn4"      "R"           "R1"          "R2"          "R3"         
##  [21] "W"           "D"           "Dd"          "S"           "dq#"        
##  [26] "dqo"         "dqv"         "dqv#"        "MH"          "FM"         
##  [31] "mi"          "MHa"         "MHp"         "FMa"         "FMp"        
##  [36] "ma"          "mp"          "a_ctv"       "p_ass"       "ma_ctv"     
##  [41] "mp_ass"      "Mov_ap"      "fqx#"        "fqxo"        "fqxu"       
##  [46] "fqx_"        "Popular"     "F"           "FC"          "CF"         
##  [51] "C"           "Cn"          "FCA"         "CAF"         "CA"         
##  [56] "FT"          "TF"          "T"           "FV"          "VF"         
##  [61] "V"           "FY"          "YF"          "Y"           "FD"         
##  [66] "i2i"         "fr"          "H"           "iHi"         "Hd"         
##  [71] "iHdi"        "Hx"          "A"           "iAi"         "Ad"         
##  [76] "iAdi"        "An"          "Art"         "Ay"          "Bl"         
##  [81] "Bt"          "Cg"          "Cl"          "Ex"          "Fi"         
##  [86] "Food"        "Geo"         "Hh"          "Ls"          "Na"         
##  [91] "Sc"          "Sx"          "Xy"          "DV_neolog"   "DV_rdund"   
##  [96] "DR_frsinad"  "DR_crcuns"   "Incom"       "Fabcom"      "Contam"     
## [101] "Alog"        "Psv_msm"     "Psv_cont"    "Psv_mec"     "Confab"     
## [106] "AB"          "AG"          "COP"         "MOR"         "PER"        
## [111] "CP"          "WDA"         "Afr"         "FC_CFC"      "FC_CFC2"    
## [116] "lambda"      "F_PC"        "FAC1"        "FAC2"        "FAC3"       
## [121] "FAC4"        "FAC5"        "FAC6"        "FAC7"        "FAC8"       
## [126] "FAC9"        "FAC10"       "r_cat"       "RES_1"       "DQ#FQx_"    
## [131] "DQoFQx_"     "DQvFQx_"     "DQv#FQx_"    "Mfqx#"       "Mfqxo"      
## [136] "Mfqxu"       "Mfqx_"       "MH_"         "WDfqx#"      "WDfqxo"     
## [141] "WDfqxu"      "WDfqx_"      "Sfqx_"       "HR_Resp"     "HRStep1"    
## [146] "HRStep2"     "HRStep3"     "HRStep4"     "HRStep5"     "HRStep6"    
## [151] "HRStep7"     "GHR"         "PHR"         "Blends"      "N_BREAK"    
## [156] "EB"          "EBBruto"     "EA"          "es"          "Dscore"     
## [161] "Adj_es"      "Adj_D"       "Sum_FM"      "Sum_m"       "Sum_CA"     
## [166] "Sum_V"       "Sum_T"       "Sum_Y"       "Pure_C"      "Sum_C"      
## [171] "WSumC"       "WSumC2"      "CA_WSumC"    "CAWSumC2"    "Sum_S"      
## [176] "ProjCor"     "BlendsR"     "GPHR"        "IsolateR"    "IsolateR2"  
## [181] "A_P"         "A_P2"        "MA_MP"       "MA_MP2"      "Sum_H"      
## [186] "Pure_H"      "Intelect"    "Sum6"        "WSum6"       "M_"         
## [191] "XA_PC"       "WDA_PC"      "X_._PC"      "S_._PC"      "P_PC"       
## [196] "X#_PC"       "Xu_PC"       "fqxa"        "W_PC"        "D_PC"       
## [201] "dd_PC"       "W_M"         "W_Mbruto"    "W_M_a"       "W_M_b"      
## [206] "W_M_c"       "W2"          "MH2"         "W_M2"        "W_MCat"     
## [211] "dq#_PC"      "dqo_PC"      "dqv#_PC"     "dqv_PC"      "SUM_PSV"    
## [216] "Egocentr"    "Egocentr2"   "Sum_Rf"      "Sum_FD"      "Sum_MOR"    
## [221] "An_Xy"       "interpes"    "interpes2"   "critcont"    "Alc"        
## [226] "Dep"         "Eqz"         "Nrm"         "Pnc"         "Sel"        
## [231] "Smt"         "Toc"         "Unv"
O problema da regressão simples com VD’s binárias
library(sjPlot)
## Warning: package 'sjPlot' was built under R version 3.3.2
## Visit http://strengejacke.de/sjPlot for package-vignettes.
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:Hmisc':
## 
##     combine, src, summarize
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(ggplot2)

 dt <- filter(bd_zulliger, Nrm==1 | Eqz==1) 
 fit <- lm(formula = Eqz~fqx_+WSum6+critcont+Mfqx_+GHR+PHR+R, data = dt) 
 sjt.lm(fit, show.std = TRUE)
    Eqz
    B CI std. Beta CI p
(Intercept)   0.22 0.12 – 0.31     <.001
fqx_   0.02 -0.01 – 0.04 0.10 -0.08 – 0.28 .261
WSum6   0.03 0.01 – 0.04 0.18 0.06 – 0.31 .005
critcont   0.01 -0.01 – 0.04 0.08 -0.06 – 0.21 .264
Mfqx_   0.00 -0.09 – 0.09 0.00 -0.17 – 0.17 .995
GHR   0.00 -0.04 – 0.04 0.01 -0.14 – 0.16 .894
PHR   0.01 -0.02 – 0.05 0.07 -0.09 – 0.23 .409
R   -0.03 -0.04 – -0.01 -0.33 -0.50 – -0.16 <.001
Observations   238
R2 / adj. R2   .114 / .087
 fit1 <- lm(formula = Eqz~fqx_+WSum6+R, data = dt) 
 sjt.lm(fit1, show.std = TRUE)
    Eqz
    B CI std. Beta CI p
(Intercept)   0.22 0.13 – 0.31     <.001
fqx_   0.02 -0.00 – 0.04 0.13 -0.02 – 0.27 .085
WSum6   0.03 0.01 – 0.05 0.21 0.08 – 0.33 .001
R   -0.03 -0.04 – -0.01 -0.29 -0.44 – -0.15 <.001
Observations   238
R2 / adj. R2   .104 / .093
 ggplot(data = dt, aes(y = Eqz , x = WSum6, color = R)) + 
  geom_point() + 
  geom_smooth(method = "lm")

 ggplot(data = dt, aes(y = Eqz , x = R, color = R)) + 
  geom_point() + 
  geom_smooth(method = "lm")

##### Tranformações logísticas

z <- seq(-4,4,0.01)
logistic <- 1 / (1 + exp(-1 * z * pi / sqrt(3)))

nrm <-dnorm(z)
nrm_ac <- pnorm(z)
log <- dlogis(z)
log_ac <- plogis(z)

dz <- data.frame(z, nrm, nrm_ac, log, log_ac)

ggplot(data = dz) + 
  geom_line(mapping = aes(y = nrm, x = z), color = "red") +
  geom_line(mapping = aes(y = nrm_ac, x = z), color = "orange") +
  scale_x_continuous(breaks = seq(-4, 4, by=1))

ggplot(data = dz) + 
  geom_line(mapping = aes(y = log, x = z), color = "navyblue") +
  geom_line(mapping = aes(y = log_ac, x = z), color = "gray") +
  scale_x_continuous(breaks = seq(-4, 4, by=1))

Regressão logística
 dt <- filter(bd_zulliger, Nrm==1 | Eqz==1) 
 fit0 <- fit0 <- glm(Eqz ~ 1,data = dt, family = binomial)
 summary(fit0)
## 
## Call:
## glm(formula = Eqz ~ 1, family = binomial, data = dt)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -0.3966  -0.3966  -0.3966  -0.3966   2.2724  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -2.5033     0.2452  -10.21   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 127.55  on 237  degrees of freedom
## Residual deviance: 127.55  on 237  degrees of freedom
## AIC: 129.55
## 
## Number of Fisher Scoring iterations: 5
 fit1 <- fit1 <- glm(Eqz~fqx_+WSum6+critcont+Mfqx_+GHR+PHR+R,data = dt, family = binomial)
 summary(fit1)
## 
## Call:
## glm(formula = Eqz ~ fqx_ + WSum6 + critcont + Mfqx_ + GHR + PHR + 
##     R, family = binomial, data = dt)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.2183  -0.3714  -0.2421  -0.1218   2.7873  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   0.2599     0.8141   0.319 0.749525    
## fqx_          0.3552     0.2692   1.320 0.186918    
## WSum6         0.2261     0.1031   2.193 0.028285 *  
## critcont      0.2140     0.2014   1.062 0.288026    
## Mfqx_         0.1596     0.7218   0.221 0.825013    
## GHR           0.0603     0.3911   0.154 0.877449    
## PHR           0.2883     0.3133   0.920 0.357451    
## R            -0.6495     0.1840  -3.531 0.000415 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 127.551  on 237  degrees of freedom
## Residual deviance:  98.327  on 230  degrees of freedom
## AIC: 114.33
## 
## Number of Fisher Scoring iterations: 7
 sjt.glm(fit1, show.r2 = TRUE)
    Eqz
    Odds Ratio CI p
(Intercept)   1.30 0.26 – 6.57 .750
fqx_   1.43 0.82 – 2.40 .187
WSum6   1.25 1.01 – 1.53 .028
critcont   1.24 0.82 – 1.82 .288
Mfqx_   1.17 0.24 – 4.65 .825
GHR   1.06 0.47 – 2.23 .877
PHR   1.33 0.69 – 2.41 .357
R   0.52 0.35 – 0.73 <.001
Observations   238
Pseudo-R2   R2CS = .116
R2N = .279
D = .178
 fit2 <- fit2 <- glm(Eqz~fqx_+WSum6+R,data = dt, family = binomial)
 summary(fit2)
## 
## Call:
## glm(formula = Eqz ~ fqx_ + WSum6 + R, family = binomial, data = dt)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.2718  -0.3934  -0.2610  -0.1455   2.6494  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.34511    0.79284   0.435 0.663360    
## fqx_         0.47517    0.22182   2.142 0.032181 *  
## WSum6        0.27697    0.09514   2.911 0.003602 ** 
## R           -0.59588    0.15842  -3.761 0.000169 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 127.55  on 237  degrees of freedom
## Residual deviance: 100.88  on 234  degrees of freedom
## AIC: 108.88
## 
## Number of Fisher Scoring iterations: 7
 sjt.glm(fit2, show.r2 = TRUE)
    Eqz
    Odds Ratio CI p
(Intercept)   1.41 0.30 – 6.89 .663
fqx_   1.61 1.02 – 2.48 .032
WSum6   1.32 1.08 – 1.59 .004
R   0.55 0.39 – 0.74 <.001
Observations   238
Pseudo-R2   R2CS = .106
R2N = .256
D = .150
 sjp.glm(fit2, trns.ticks = FALSE)
## Waiting for profiling to be done...

 sjp.glm(fit2, type = "slope")

 library(BaylorEdPsych)
PseudoR2(fit2) %>% round(2)
##         McFadden     Adj.McFadden        Cox.Snell       Nagelkerke 
##             0.21             0.13             0.11             0.26 
## McKelvey.Zavoina           Effron            Count        Adj.Count 
##             0.45             0.15             0.92             0.00 
##              AIC    Corrected.AIC 
##           108.88           109.05
anova(fit0,fit1,test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: Eqz ~ 1
## Model 2: Eqz ~ fqx_ + WSum6 + critcont + Mfqx_ + GHR + PHR + R
##   Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
## 1       237    127.551                          
## 2       230     98.327  7   29.225 0.0001316 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
predict(fit2) %>% qplot
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

predict(fit2, type = "response") %>% qplot
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

library(broom)
## Warning: package 'broom' was built under R version 3.3.2
library(pander)
prev <- augment(fit2)
ggplot(prev,aes(x = .fitted, y = Eqz)) + geom_point(alpha = 0.2,pch = 16) +  
        geom_smooth(method = "glm", method.args = list(family = "binomial"), se = FALSE)

library(OptimalCutpoints)
cutpoint <- optimal.cutpoints(X = ".fitted", status = "Eqz", 
                              methods = c("Youden", "SpEqualSe"), 
                              data = prev,
                               tag.healthy = 0)
summary(cutpoint)
## 
## Call:
## optimal.cutpoints.default(X = ".fitted", status = "Eqz", tag.healthy = 0, 
##     methods = c("Youden", "SpEqualSe"), data = prev)
## 
## Area under the ROC curve (AUC):  0.822 (0.733, 0.912) 
## 
## CRITERION: Youden
## Number of optimal cutoffs: 1
## 
##                     Estimate
## cutoff            -2.6342933
## Se                 0.7777778
## Sp                 0.7090909
## PPV                0.1794872
## NPV                0.9750000
## DLR.Positive       2.6736111
## DLR.Negative       0.3133903
## FP                64.0000000
## FN                 4.0000000
## Optimal criterion  0.4868687
## 
## CRITERION: SpEqualSe
## Number of optimal cutoffs: 1
## 
##                        Estimate
## cutoff            -2.5212387192
## Se                 0.7222222222
## Sp                 0.7227272727
## PPV                0.1756756757
## NPV                0.9695121951
## DLR.Positive       2.6047358834
## DLR.Negative       0.3843466108
## FP                61.0000000000
## FN                 5.0000000000
## Optimal criterion  0.0005050505
plot(cutpoint)

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