bengisu

library(tidyverse)

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library(lsr)
library(car)

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

## Zorunlu paket yükleniyor: carData

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## 
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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(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

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

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

ggplot(fare_verisi,aes(x=grup, y=sure, fill = grup)) +
  geom_boxplot(width=0.5, color="black",alpha = 0.7) +
  theme_minimal()+
  scale_fill_manual(values = c("#2E8B57","#CD5C5C"))+
  labs(title = "ilac (deney) ve Plasebo (kontrol) gruplarinin labirent tamamlama sureleri",
       subtitle = "deney grubunun daha hizli olduğu (surenin dusuk oldugu) gorulmektedir.",
       x="grup", y="sure(saniye)")

yapılan bağımsız örneklem t testi sonucunda,ilaç verilen deney grubunun labirent tamamlama sürelerinin kontrol grubuna göre anlamlı derecede daha düşük (hızlı) olduğu saptanmıştır.bu bulgu,ilaç-x in mekansal bellek ve öğrenme üzerinde geliştirici bir etkisi olduğunu desteklemektedir.