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# TUGAS : STATISTIK SOSIAL #
# NAMA : MAULIDA SYIFA #
# NIM : 2502056010 #
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################################### BAB 7 ######################################
#UJI KESAMAAN VARIANS POPULASI#
#Uji Kesamaan Varians Populasi dengan Uji Levene#
qf(.95, df1=2, df2=15)
## [1] 3.68232
#Penyelesaian dalam R untuk Uji Kesamaan Varians Populasi dengan Uji Levene (1)#
varians = read.csv("varians.csv")
varians
## Nilai Kelas
## 1 70 1
## 2 80 1
## 3 87 1
## 4 77 1
## 5 80 1
## 6 80 2
## 7 85 2
## 8 70 2
## 9 77 2
## 10 85 2
## 11 60 2
## 12 80 2
## 13 70 3
## 14 87 3
## 15 90 3
## 16 77 3
## 17 76 3
## 18 87 3
library(car)
## Loading required package: carData
leveneTest(varians$Nilai, varians$Kelas)
## Warning in leveneTest.default(varians$Nilai, varians$Kelas): varians$Kelas
## coerced to factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 2 0.4267 0.6604
## 15
library(Rcmdr)
## Loading required package: splines
## Loading required package: RcmdrMisc
## Loading required package: sandwich
## Loading required package: effects
## Registered S3 method overwritten by 'lme4':
## method from
## na.action.merMod car
## lattice theme set by effectsTheme()
## See ?effectsTheme for details.
## The Commander GUI is launched only in interactive sessions
##
## Attaching package: 'Rcmdr'
## The following object is masked from 'package:base':
##
## errorCondition
leveneTest(varians$Nilai, varians$Kelas)
## Warning in leveneTest.default(varians$Nilai, varians$Kelas): varians$Kelas
## coerced to factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 2 0.4267 0.6604
## 15
library(lawstat)
##
## Attaching package: 'lawstat'
## The following object is masked from 'package:car':
##
## levene.test
levene.test(
varians[, "Nilai"],
varians[, "Kelas"],
location = "median",
correction.method = "zero.correction"
)
##
## Modified robust Brown-Forsythe Levene-type test based on the absolute
## deviations from the median with modified structural zero removal method
## and correction factor
##
## data: varians[, "Nilai"]
## Test Statistic = 0.4372, p-value = 0.6557
levene.test(
varians[, "Nilai"],
varians[, "Kelas"],
location = "mean",
correction.method = "zero.correction"
)
##
## Classical Levene's test based on the absolute deviations from the mean
## ( zero.correction not applied because the location is not set to median
## )
##
## data: varians[, "Nilai"]
## Test Statistic = 0.64903, p-value = 0.5366
#Penyelesaian dalam R untuk Uji Kesamaan Varians Populasi dengan Uji Levene (2)#
simpan = read.csv("varians2.csv", header = TRUE, sep = ",") #membaca data
simpan
## Nilai Kelas
## 1 30 10
## 2 40 20
## 3 50 30
## 4 60 40
## 5 70 50
## 6 80 60
## 7 90 70
library(doBy)
summaryBy(Nilai~kelas, data=simpan, FUN = function(x)
{c(ratarata=mean(x), varians=var(x), jumlah=sum(x) )})
## Nilai.ratarata Nilai.varians Nilai.jumlah
## 1 60 466.6667 420
qf(0.95, df1=1, df2 = 12)
## [1] 4.747225
simpan = read.csv("varians2.csv", header = TRUE, sep = ",") #membaca data
simpan
## Nilai Kelas
## 1 30 10
## 2 40 20
## 3 50 30
## 4 60 40
## 5 70 50
## 6 80 60
## 7 90 70
library(lawstat)
data(simpan)
## Warning in data(simpan): data set 'simpan' not found
levene.test(simpan[,"Nilai"], simpan[,"Kelas"], location="mean", correction.method="zero.correction")
##
## Classical Levene's test based on the absolute deviations from the mean
## ( zero.correction not applied because the location is not set to median
## )
##
## data: simpan[, "Nilai"]
## Test Statistic = NaN, p-value = NA