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library(tidyverse)

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library(lsr)

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library(car)

## Warning: package 'car' was built under R version 4.5.3

## Zorunlu paket yükleniyor: carData

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set.seed(1923) #tekralanabilirlik için

deney_grubu<- rnorm(50, mean=45, sd = 8) # ilaç verilen grup (kontrol grubu)
kontrol_grubu<- rnorm(50, mean=52, sd=8 )#plasebo verilen grup (kıontrol grubu)

fare_verisi <- data.frame(grup = 
    rep(c("Deney", "Kontrol"), each=50)) %>% mutate(süre = round(c(deney_grubu, kontrol_grubu), 2))

head(fare_verisi)

##    grup  süre
## 1 Deney 39.81
## 2 Deney 45.56
## 3 Deney 53.49
## 4 Deney 56.08
## 5 Deney 52.47
## 6 Deney 42.59

tail(fare_verisi)

##        grup  süre
## 95  Kontrol 46.23
## 96  Kontrol 59.74
## 97  Kontrol 52.52
## 98  Kontrol 50.93
## 99  Kontrol 62.96
## 100 Kontrol 64.11

fare_istatistik <- fare_verisi %>% 
  group_by(grup) %>% 
  summarise(N=n(), 
            ortalama= mean(süre),
            Standart_Sapma = sd(süre)) 
print(fare_istatistik)

## # A tibble: 2 × 4
##   grup        N ortalama Standart_Sapma
##   <chr>   <int>    <dbl>          <dbl>
## 1 Deney      50     45.2           8.81
## 2 Kontrol    50     52.4           7.92

normallik testi

#her grup için ayrı ayrı normallik testi
fare_verisi %>% 
  group_by(grup) %>% 
  summarise(shapiro_p= 
              shapiro.test(süre)$p.value)

## # A tibble: 2 × 2
##   grup    shapiro_p
##   <chr>       <dbl>
## 1 Deney       0.409
## 2 Kontrol     0.810

varyans hyomojenliği(levene testi)

leveneTest(süre ~ grup, data = fare_verisi)

## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.

## Levene's Test for Homogeneity of Variance (center = median)
##       Df F value Pr(>F)
## group  1  0.5295 0.4686
##       98

#bağımsız örneklem t-testi
sonuc<- t.test(süre ~ grup, data = fare_verisi,
               var.equal=TRUE)
print(sonuc)

## 
##  Two Sample t-test
## 
## data:  süre by grup
## t = -4.3425, df = 98, p-value = 3.436e-05
## alternative hypothesis: true difference in means between group Deney and group Kontrol is not equal to 0
## 95 percent confidence interval:
##  -10.601619  -3.951181
## sample estimates:
##   mean in group Deney mean in group Kontrol 
##               45.1614               52.4378

#chen's d (etki büyüklüğü)
cohensD(süre ~ grup, data = fare_verisi)

## [1] 0.8685009

Yapılan bağımsız örneklem t-testi sonucunda, ilaç verilen deney grubunun labirent tamamalama sürelerinin (X=45.16, SS=8.81), kontrol grubuna göre (X=52.44, SS=7.92) anlamlı derecede daha düşük (hızlı) olduğu saptanmıştır, t(98)= -4.34, p<.001, d=0.87. Bu bulgu, ilaç-X’in mekansal bellek ve öğrenme üzerinde geliştirici bir etkisi olduğunu desteklemeketedir.

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2026-04-22