library(car)
## Warning: package 'car' was built under R version 4.5.3
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.5.3
library(agricolae)
## Warning: package 'agricolae' was built under R version 4.5.3
#Memanggil Data
data=read.table(file.choose(), header=T)
data
## tablet jenis_pelarut data
## 1 1 1 46.18
## 2 2 1 57.69
## 3 3 1 48.61
## 4 1 2 54.54
## 5 2 2 71.57
## 6 3 2 51.01
## 7 1 3 56.63
## 8 2 3 81.51
## 9 3 3 80.02
#Pendefinisian Variabel
data$tablet=factor(data$tablet,levels=1:3,labels=c("cdr","redoxon","enervonC"))
data$jenis_pelarut=factor(data$jenis_pelarut,levels=1:3,labels=c("Airbiasa","Airsoda","AirKelapa"))
data
## tablet jenis_pelarut data
## 1 cdr Airbiasa 46.18
## 2 redoxon Airbiasa 57.69
## 3 enervonC Airbiasa 48.61
## 4 cdr Airsoda 54.54
## 5 redoxon Airsoda 71.57
## 6 enervonC Airsoda 51.01
## 7 cdr AirKelapa 56.63
## 8 redoxon AirKelapa 81.51
## 9 enervonC AirKelapa 80.02
# Normalitas per tablet
for(j in levels(data$tablet)){
cat("\nUji Normalitas untuk tablet:", j, "\n")
print(shapiro.test(data$data[data$tablet==j]))
}
##
## Uji Normalitas untuk tablet: cdr
##
## Shapiro-Wilk normality test
##
## data: data$data[data$tablet == j]
## W = 0.89286, p-value = 0.3631
##
##
## Uji Normalitas untuk tablet: redoxon
##
## Shapiro-Wilk normality test
##
## data: data$data[data$tablet == j]
## W = 0.99096, p-value = 0.8182
##
##
## Uji Normalitas untuk tablet: enervonC
##
## Shapiro-Wilk normality test
##
## data: data$data[data$tablet == j]
## W = 0.80695, p-value = 0.1312
# Normalitas per jenis_pelarut
for(i in levels(data$jenis_pelarut)){
cat("\nUji Normalitas untuk jenis_pelarut:", i, "\n")
print(shapiro.test(data$data[data$jenis_pelarut==i]))
}
##
## Uji Normalitas untuk jenis_pelarut: Airbiasa
##
## Shapiro-Wilk normality test
##
## data: data$data[data$jenis_pelarut == i]
## W = 0.89987, p-value = 0.3851
##
##
## Uji Normalitas untuk jenis_pelarut: Airsoda
##
## Shapiro-Wilk normality test
##
## data: data$data[data$jenis_pelarut == i]
## W = 0.87434, p-value = 0.3079
##
##
## Uji Normalitas untuk jenis_pelarut: AirKelapa
##
## Shapiro-Wilk normality test
##
## data: data$data[data$jenis_pelarut == i]
## W = 0.79474, p-value = 0.102
#Homogenitas variansi#
leveneTest(data~tablet, center=mean, data=data)
## Levene's Test for Homogeneity of Variance (center = mean)
## Df F value Pr(>F)
## group 2 2.4902 0.1632
## 6
leveneTest(data~jenis_pelarut, center=mean, data=data)
## Levene's Test for Homogeneity of Variance (center = mean)
## Df F value Pr(>F)
## group 2 1.9806 0.2185
## 6
Y <- matrix(c(
46.18, 54.54, 56.63,
57.69, 71.57, 81.51,
48.61, 51.01, 80.02
),
nrow = 3, byrow = TRUE,
dimnames = list(
Faktor_Baris = c("CDR", "Redoxon", "EnervonC"),
Faktor_Kolom = c("AirBiasa", "AirSoda", "AirKelapa")
))
anava2arah_tanpa <- function (Y, alpha = 0.05){
a <- nrow(Y)
b <- ncol(Y)
N <- a * b
FK <- sum(Y)^2 / N
JKT <- sum(Y^2) - FK
JK_A <- sum(rowSums(Y)^2) / b - FK
JK_B <- sum(colSums(Y)^2) / a - FK
JKG <- JKT - JK_A - JK_B
db <- c(a - 1, b - 1, (a - 1) * (b - 1), N - 1)
JK <- c(JK_A, JK_B, JKG, JKT)
KT <- JK / db
F <- c(KT[1:2] / KT[3], NA, NA)
Ft <- c(qf(1 - alpha, db[1:2], db[3]), NA, NA)
p <- c(pf(F[1:2], db[1:2], db[3], lower.tail = FALSE), NA, NA)
hasil <- data.frame(
Sumber = c("Faktor Baris", "Faktor Kolom", "Galat", "Total"),
db = db,
JK = JK,
KT = KT,
F_hit = F,
F_tabel = Ft,
p_value = p
)
print(hasil, digits = 5, na.print = "", row.names = FALSE)
}
anava2arah_tanpa(Y, alpha = 0.05)
## Sumber db JK KT F_hit F_tabel p_value
## Faktor Baris 2 479.96 239.979 4.2696 6.9443 0.101762
## Faktor Kolom 2 733.92 366.960 6.5287 6.9443 0.054991
## Galat 4 224.83 56.207 NA NA NA
## Total 8 1438.70 179.838 NA NA NA
data <- as.data.frame(as.table(Y))
colnames(data) <- c("Faktor_Baris", "Faktor_Kolom", "Freq")
anova(aov(Freq ~ Faktor_Baris + Faktor_Kolom, data = data))
## Analysis of Variance Table
##
## Response: Freq
## Df Sum Sq Mean Sq F value Pr(>F)
## Faktor_Baris 2 479.96 239.98 4.2696 0.10176
## Faktor_Kolom 2 733.92 366.96 6.5287 0.05499 .
## Residuals 4 224.83 56.21
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1