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library(tidyverse)

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library(lsr)

library(carData)

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

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(sure =round(c(deney_grubu , kontrol_grubu), 2))

head(fare_verisi)

##    grup  sure
## 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  sure
## 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( sure) ,
            Standart_sapma = sd( sure))

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

1.NORMALLİK TESTİ:

fare_verisi %>% 
  group_by(grup) %>% 
  summarise(shapiro_p =
              shapiro.test(sure) $ p.value)

## # A tibble: 2 × 2
##   grup    shapiro_p
##   <chr>       <dbl>
## 1 DENEY       0.409
## 2 KONTROL     0.810

2. VARYANS HOMOJENLİĞİ ( LEVENTE TESTİ):

library(car)

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

## 
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leveneTest( sure ~ 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 (sure ~ grup, data = fare_verisi ,
                 var.equal = TRUE)
print(sonuc)

## 
##  Two Sample t-test
## 
## data:  sure 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( sure ~ grup , data = fare_verisi)

## [1] 0.8685009

Analiz sonucuna baktığımızda, ilaç verilen deney grubunun labirenti tamamlama süresinin kontrol grubuna göre anlamlı şekilde daha düşük olduğu görülüyor (t(98) = -4.34, p < .001). Yani deney grubu görevi daha hızlı tamamlamış. Etki büyüklüğünün de yüksek çıkması (d = 0.87), bu farkın gerçekten önemli olduğunu gösteriyor. Bu nedenle, kullanılan ilacın öğrenme ve mekansal bellek üzerinde olumlu bir etkisi olduğunu söyleyebiliriz.