library(tidyverse)
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library(lsr)
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library(car)
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set.seed(1923)
deney_grubu<- rnorm(50, mean=45, sd=8)
kontrol_grubu<- rnorm(50,mean=52, sd=8)
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
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
  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
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
cohensD(süre~grup, data=fare_verisi)
## [1] 0.8685009

Yapılan bağımsız örneklem t-testi sonucunda, ilaç verilen deney grubunun labirent tamamlama 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, İlaç-X’in mekansal bellek ve öğrenme üzerinde geliştirici bir etkisi olduğunu desteklemektedir.