library(dplyr)
##
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
library(skimr)
library(naniar)
##
## Attaching package: 'naniar'
## The following object is masked from 'package:skimr':
##
## n_complete
library(ggplot2)
library(MissMech)
library(mice)
##
## Attaching package: 'mice'
## The following object is masked from 'package:stats':
##
## filter
## The following objects are masked from 'package:base':
##
## cbind, rbind
Bu ödevde, TIMSS 2015 uygulamasına ait bir kitapçığın Türkiye ve Amerika verilerini kullanacaksınız.
Veri seti adı: “TRUSA.RDS”. Bu veri setini R ortamına aktarınız.
Veri setinde eksik veri olup olmadığını kontrol ediniz.
Kitapçıktaki 35 maddenin toplamını hesaplayarak veri setine yeni bir sütun olarak ekleyiniz.
Toplam puanın her iki ülkeye göre betimsel istatistiklerini hesaplayınız.
Toplam puanın, Türkiye ve ABD örneklemlerinde farklılaşıp farklılaşmadığını t testi ile test ediniz.
Veri setinde %5, %10 ve %15 oranında eksik veriler oluşturunuz.
Oluşturulan eksik veri setlerinde önce eksik verinin rasgele olup olmadığını test ediniz. Ardından, liste bazında silme yöntemiyle eksik verileri temizleyerek e seçeneğinde gerçekleştirdiğiniz t testini tekrarlayınız. Tam veri ile elde edilen sonuçlarla karşılaştırınız.
f seçeneğinde oluşturulan veri setlerindeki eksik verileri, belirlediğiniz bir kayıp veri atama yöntemiyle doldurunuz. Daha sonra, e seçeneğinde gerçekleştirdiğiniz t testini tekrar ediniz ve tam veri ile elde edilen sonuçlarla karşılaştırınız.
Eksik veri oranının uygulanan yöntemlerin performansına etkisini açıklayınız.
İyi kodlamalar:)
#a) Veri seti adı: "TRUSA.RDS". Bu veri setini R ortamına aktarınız.
TRUSA <- readRDS("D:/OLC_733/OLC_733/TRUSA.RDS")
TRUSA
## IDSTUD IDBOOK M042182 M042081 M042049 M042052 M042076 M042302A M042302B
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## 1111 1 1 USA
## 1112 1 1 USA
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## 1144 0 1 USA
## 1145 0 0 USA
## 1146 1 1 USA
## 1147 0 1 USA
## 1148 1 1 USA
## 1149 1 1 USA
## 1150 0 1 USA
## 1151 1 0 USA
#b) Veri setinde eksik veri olup olmadığını kontrol ediniz.
any(is.na(TRUSA))
## [1] FALSE
#c) Kitapçıktaki 35 maddenin toplamını hesaplayarak veri setine yeni bir sütun olarak ekleyiniz.
TRUSA <- TRUSA %>%
mutate(Toplam_puan= rowSums(select(.,starts_with("M0")),na.rm = TRUE))
#d) Toplam puanın her iki ülkeye göre betimsel istatistiklerini hesaplayınız.
TRUSA %>%
filter(CNT %in% c("TUR","USA")) %>%
group_by(CNT) %>%
skim(Toplam_puan)
| Name | Piped data |
| Number of rows | 1151 |
| Number of columns | 39 |
| _______________________ | |
| Column type frequency: | |
| numeric | 1 |
| ________________________ | |
| Group variables | CNT |
Variable type: numeric
| skim_variable | CNT | n_missing | complete_rate | mean | sd | p0 | p25 | p50 | p75 | p100 | hist |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Toplam_puan | TUR | 0 | 1 | 13.45 | 7.57 | 2 | 7 | 11 | 19.00 | 32 | ▇▆▃▃▂ |
| Toplam_puan | USA | 0 | 1 | 17.05 | 7.53 | 1 | 11 | 17 | 22.25 | 34 | ▃▇▇▆▃ |
#e) Toplam puanın, Türkiye ve ABD örneklemlerinde farklılaşıp farklılaşmadığını t testi ile test ediniz.
Tt_TRUSA <- TRUSA %>%
filter(CNT %in% c("TUR","USA"))
ttest <- t.test(Toplam_puan ~ CNT, data = Tt_TRUSA, var.equal = TRUE)
print(ttest)
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.8348, df = 1149, p-value = 1.064e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.493049 -2.693382
## sample estimates:
## mean in group TUR mean in group USA
## 13.45287 17.04609
# TUR grubu ile ABD grubu arasındaki gerçek ortalama farkı 0'a eşit değildir
#f) Veri setinde %5, %10 ve %15 oranında eksik veriler oluşturunuz.
set.seed(123) # Rastgelelik için aynı sonuçları almak adına seed kullanılır
# Fonksiyon: Belirtilen oranda eksik veri ekler
eksik_veri_ekle <- function(veri, oran) {
veri_kopya <- veri # Orijinal veri setini korumak için kopyasını al
n <- nrow(veri_kopya) * ncol(veri_kopya) # Toplam hücre sayısı
eksik_sayisi <- round(n * oran) # Eksik olacak hücre sayısını hesapla
# Satır ve sütun indekslerini rastgele seç
satir_index <- sample(1:nrow(veri_kopya), eksik_sayisi, replace = TRUE)
sutun_index <- sample(1:ncol(veri_kopya), eksik_sayisi, replace = TRUE)
# Seçilen satır ve sütunlarda eksik veri oluştur
for (i in 1:eksik_sayisi) {
veri_kopya[satir_index[i], sutun_index[i]] <- NA
}
return(veri_kopya)
}
# %5, %10 ve %15 eksik veri içeren veri setlerini oluştur
veri_5 <- eksik_veri_ekle(TRUSA, 0.05)
veri_10 <- eksik_veri_ekle(TRUSA, 0.10)
veri_15 <- eksik_veri_ekle(TRUSA, 0.15)
# Eksik verilerin durumunu kontrol etmek için:
print(colSums(is.na(veri_5))) # %5 eksik veri içeren veri setindeki eksik değerler
## IDSTUD IDBOOK M042182 M042081 M042049 M042052
## 82 57 47 58 40 44
## M042076 M042302A M042302B M042302C M042100 M042202
## 59 47 55 64 49 56
## M042240 M042093 M042271 M042268 M042159 M042164
## 56 66 50 65 62 62
## M042167 M062208 M062208A M062208B M062208C M062208D
## 51 65 58 51 59 60
## M062153 M062111A M062111B M062237 M062314 M062074
## 52 61 49 51 48 58
## M062183 M062202 M062246 M062286 M062325 M062106
## 53 63 49 67 61 57
## M062124 CNT Toplam_puan
## 54 50 56
print(colSums(is.na(veri_10))) # %10 eksik veri içeren veri setindeki eksik değerler
## IDSTUD IDBOOK M042182 M042081 M042049 M042052
## 101 113 116 112 109 109
## M042076 M042302A M042302B M042302C M042100 M042202
## 122 107 103 99 109 100
## M042240 M042093 M042271 M042268 M042159 M042164
## 104 118 107 107 96 125
## M042167 M062208 M062208A M062208B M062208C M062208D
## 110 108 97 121 111 111
## M062153 M062111A M062111B M062237 M062314 M062074
## 117 108 120 114 112 112
## M062183 M062202 M062246 M062286 M062325 M062106
## 105 115 99 102 99 105
## M062124 CNT Toplam_puan
## 108 109 117
print(colSums(is.na(veri_15))) # %15 eksik veri içeren veri setindeki eksik değerler
## IDSTUD IDBOOK M042182 M042081 M042049 M042052
## 154 141 157 169 179 167
## M042076 M042302A M042302B M042302C M042100 M042202
## 154 173 147 176 146 163
## M042240 M042093 M042271 M042268 M042159 M042164
## 159 163 174 177 151 161
## M042167 M062208 M062208A M062208B M062208C M062208D
## 153 157 157 152 179 154
## M062153 M062111A M062111B M062237 M062314 M062074
## 153 167 163 150 155 148
## M062183 M062202 M062246 M062286 M062325 M062106
## 159 140 166 168 145 166
## M062124 CNT Toplam_puan
## 158 171 153
#g) Oluşturulan eksik veri setlerinde önce eksik verinin rasgele olup olmadığını test ediniz. Ardından, liste bazında silme yöntemiyle eksik verileri temizleyerek e seçeneğinde gerçekleştirdiğiniz t testini tekrarlayınız. Tam veri ile elde edilen sonuçlarla karşılaştırınız.
# SADECE SAYISAL VE EKSİK VERİ İÇEREN SÜTUNLARI SEÇİLMESİ
veri_5_num <- veri_5 %>%
select(where(is.numeric)) %>%
select(where(~ any(is.na(.)) & !all(is.na(.))))
veri_10_num <- veri_10 %>%
select(where(is.numeric)) %>%
select(where(~ any(is.na(.)) & !all(is.na(.))))
veri_15_num <- veri_15 %>%
select(where(is.numeric)) %>%
select(where(~ any(is.na(.)) & !all(is.na(.))))
mcar_test(data=veri_5_num[,c(3:35)])
## Warning in norm::prelim.norm(data): NAs introduced by coercion to integer range
## # A tibble: 1 × 4
## statistic df p.value missing.patterns
## <dbl> <dbl> <dbl> <int>
## 1 1297. 15662 1 516
mcar_test(data=veri_10_num[,c(3:35)])
## Warning in norm::prelim.norm(data): NAs introduced by coercion to integer range
## # A tibble: 1 × 4
## statistic df p.value missing.patterns
## <dbl> <dbl> <dbl> <int>
## 1 3404. 28121 1 956
mcar_test(data=veri_15_num[,c(3:35)])
## Warning in norm::prelim.norm(data): NAs introduced by coercion to integer range
## # A tibble: 1 × 4
## statistic df p.value missing.patterns
## <dbl> <dbl> <dbl> <int>
## 1 6191. 31536 1 1115
# Eksik verileri içeren satırları temizleme (Liste Bazında Silme)
veri_5_clean <- na.omit(veri_5)
veri_10_clean <- na.omit(veri_10)
veri_15_clean <- na.omit(veri_15)
# %5 Eksik Veri İçin t-Testi
t_test_5 <- t.test(Toplam_puan ~ CNT, data = veri_5_clean, var.equal = TRUE)
# %10 Eksik Veri İçin t-Testi
t_test_10 <- t.test(Toplam_puan ~ CNT, data = veri_10_clean, var.equal = TRUE)
# %15 Eksik Veri İçin t-Testi
#t_test_15 <- t.test(Toplam_puan ~ CNT, data = veri_15_clean, var.equal = TRUE)
# Tam Veri İçin t-Testi
t_test_tam <- t.test(Toplam_puan ~ CNT, data = TRUSA, var.equal = TRUE)
# Sonuçları Karşılaştırma
list(
"Tam Veri t-Testi" = t_test_tam,
"%5 Eksik Veri t-Testi" = t_test_5,
"%10 Eksik Veri t-Testi" = t_test_10
)
## $`Tam Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.8348, df = 1149, p-value = 1.064e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.493049 -2.693382
## sample estimates:
## mean in group TUR mean in group USA
## 13.45287 17.04609
##
##
## $`%5 Eksik Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -3.2496, df = 150, p-value = 0.001426
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -6.856304 -1.671232
## sample estimates:
## mean in group TUR mean in group USA
## 13.61667 17.88043
##
##
## $`%10 Eksik Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -2.5343, df = 24, p-value = 0.0182
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -11.158975 -1.141679
## sample estimates:
## mean in group TUR mean in group USA
## 10.55556 16.70588
#h) f seçeneğinde oluşturulan veri setlerindeki eksik verileri, belirlediğiniz bir kayıp veri atama yöntemiyle doldurunuz. Daha sonra, e seçeneğinde gerçekleştirdiğiniz t testini tekrar ediniz ve tam veri ile elde edilen sonuçlarla karşılaştırınız.
set.seed(123) # Rastgelelik için seed ayarla
# Eksik veri ekleme fonksiyonunu kullanarak eksik verili setler oluşturduk
veri_5 <- eksik_veri_ekle(TRUSA, 0.05)
veri_10 <- eksik_veri_ekle(TRUSA, 0.10)
veri_15 <- eksik_veri_ekle(TRUSA, 0.15)
# Eksik verileri Multiple Imputation ile doldurma
impute_5 <- mice(veri_5, m = 5, method = "pmm", maxit = 10, seed = 123)
##
## iter imp variable
## 1 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## Warning: Number of logged events: 125
impute_10 <- mice(veri_10, m = 5, method = "pmm", maxit = 10, seed = 123)
##
## iter imp variable
## 1 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## Warning: Number of logged events: 66
impute_15 <- mice(veri_15, m = 5, method = "pmm", maxit = 10, seed = 123)
##
## iter imp variable
## 1 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 1 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 2 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 3 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 4 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 5 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 6 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 7 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 8 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 9 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 1 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 2 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 3 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 4 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## 10 5 IDSTUD M042182 M042081 M042049 M042052 M042076 M042302A M042302B M042302C M042100 M042202 M042240 M042093 M042271 M042268 M042159 M042164 M042167 M062208 M062208A M062208B M062208C M062208D M062153 M062111A M062111B M062237 M062314 M062074 M062183 M062202 M062246 M062286 M062325 M062106 M062124 Toplam_puan
## Warning: Number of logged events: 6
# Tamamlanan veri setlerini oluştur
veri_5_t <- complete(impute_5)
veri_10_t <- complete(impute_10)
veri_15_t <- complete(impute_15)
# Orijinal tam veri ile eksik verisi doldurulmuş setleri karşılaştırmak için t testini uygula
# %5 Eksik Veri İçin t-Testi
t_test_5 <- t.test(Toplam_puan ~ CNT, data = veri_5_t, var.equal = TRUE)
# %10 Eksik Veri İçin t-Testi
t_test_10 <- t.test(Toplam_puan ~ CNT, data = veri_10_t, var.equal = TRUE)
# %15 Eksik Veri İçin t-Testi
t_test_15 <- t.test(Toplam_puan ~ CNT, data = veri_15_t, var.equal = TRUE)
# Tam Veri İçin t-Testi
t_test_tam <- t.test(Toplam_puan ~ CNT, data = TRUSA, var.equal = TRUE)
# Sonuçları Karşılaştırma
list(
"Tam Veri t-Testi" = t_test_tam,
"%5 Eksik Veri t-Testi" = t_test_5,
"%10 Eksik Veri t-Testi" = t_test_10,
"%15 Eksik Veri t-Testi" = t_test_15
)
## $`Tam Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.8348, df = 1149, p-value = 1.064e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.493049 -2.693382
## sample estimates:
## mean in group TUR mean in group USA
## 13.45287 17.04609
##
##
## $`%5 Eksik Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.5954, df = 1099, p-value = 6.54e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.459271 -2.628331
## sample estimates:
## mean in group TUR mean in group USA
## 13.38571 16.92952
##
##
## $`%10 Eksik Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.5056, df = 1040, p-value = 1.31e-13
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.549583 -2.663754
## sample estimates:
## mean in group TUR mean in group USA
## 13.41176 17.01843
##
##
## $`%15 Eksik Veri t-Testi`
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -6.7788, df = 978, p-value = 2.092e-11
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.392021 -2.420011
## sample estimates:
## mean in group TUR mean in group USA
## 13.67598 17.08199
# Sonuçları Yazdır
cat("Tam Veri T-Testi Sonuçları:\n")
## Tam Veri T-Testi Sonuçları:
print(t_test_tam)
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.8348, df = 1149, p-value = 1.064e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.493049 -2.693382
## sample estimates:
## mean in group TUR mean in group USA
## 13.45287 17.04609
cat("\n%5 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:\n")
##
## %5 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:
print(t_test_5)
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.5954, df = 1099, p-value = 6.54e-14
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.459271 -2.628331
## sample estimates:
## mean in group TUR mean in group USA
## 13.38571 16.92952
cat("\n%10 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:\n")
##
## %10 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:
print(t_test_10)
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -7.5056, df = 1040, p-value = 1.31e-13
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.549583 -2.663754
## sample estimates:
## mean in group TUR mean in group USA
## 13.41176 17.01843
cat("\n%15 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:\n")
##
## %15 Eksik Veri ile Doldurulmuş Setin T-Testi Sonuçları:
print(t_test_15)
##
## Two Sample t-test
##
## data: Toplam_puan by CNT
## t = -6.7788, df = 978, p-value = 2.092e-11
## alternative hypothesis: true difference in means between group TUR and group USA is not equal to 0
## 95 percent confidence interval:
## -4.392021 -2.420011
## sample estimates:
## mean in group TUR mean in group USA
## 13.67598 17.08199
#i) Eksik veri oranının uygulanan yöntemlerin performansına etkisini açıklayınız. * t Değeri Küçülmesi
Çoklu veri atama yöntemi ile eksik veri oranı arttıkça t değeri azaldığı gözlenmiştir. Bu, iki ülke arasındaki farkın daha az belirgin hale geldiğini gösteriyor. Örneğin: Tam veri için t = -7.8348 %15 eksik veri için t = -6.7788 Eksik veri, değişkenler arasındaki farkı tespit etme gücünü düşürüyor.
*p-Değeri Artması
p değeri eksik veri oranına bağlı olarak arttığı görülmektedir. Tam veri için p = 1.064e-14, %15 eksik veri için p = 2.092e-11 *Anlamlılık düzeyi hala oldukça güçlü olsa da, eksik veri oranı arttıkça testin anlamlılığı azaldığı söylenebilir.
*Güven Aralığı Genişlemesi
Eksik veri oranı arttıkça %95 güven aralıkları genişlediği gözlenmiştir. Tam veri: (-4.493, -2.693) *%15 eksik veri: (-4.392, -2.420)