Introduction

My research question asks if sleep deprivation has a greater impacts as people age.

The articles I reviewed were of students and how sleep deprivation impacted their cognitive test results.

Literature Review

Article 1 Summary

Sadeh et al. (2003) conducted an experiment with school aged kids to determine the effect of sleep deprivation and neurobehavioral functioning (NBF). The experiment asked seventy-seven school aged children, 39 boys and 38 girls, to participate in the study. The experiment was aimed at the effects of modest sleep manipulation which was more akin to daily life experiences of children. The results suggest that small changes in sleep echoed NBF results and sleep duration. Sleep manipulation effected memory test which indicated that increasing sleep led to improved memory function compared to sleep deprivation or no change. In addition, increase in sleep improved CPT and reaction time compared to when sleep restriction or no change in sleep was noted. This study suggest that sleep duration plays a part in developmental and clinical implications. In addition, the study suggest that children are sensitive to modest changes in sleep duration. And finally, the study suggests that there are consequences to sleep deprivation when it comes to behavioral regulation and may exacerbate developmental psychopathology.

Article 2 Summary

Pilcher and Walters et al. (1997) conducted a study which collected data on sleep deprivation on cognitive performance. The participants where 44 college students, 26 women and 18 men, with a mean age of 20.5 years of age and a SD of 4.37. The researchers used self-diagnosing survey and compared their answers to Watson-Glaser Critical Thinking Appraisal test. The results of study showed that sleep deprived participants of 24 hours scored significantly worse on the WGC than did the nondeprived participants. In addition, the sleep deprived participants reported themselves as having higher levels of concentration than nondeprived participants. The findings also show that sleep deprivation affects mood state, tension, and causes significantly less vigor. The findings suggests that sleep deprivation impairs cognitive tasks, but that the students are unaware of the extent of their impairment.

Hypothesis

The less amount of sleep a participant gets per day, and the older a participant is, the greater their reaction time will increase.

Method

Sample

Describe the sample used in your study. Include details about the population, sample size, and any relevant demographic information:

The sample will consist of 8000 participants aged 18-59 years old, with 48% female and 48% male with the rest being other. Cognitive performance will be measured using self-reported milliseconds (ms).

Variables and Operationalization

List your independent and dependent variables. Explain how each variable was operationalized, including the range for continuous variables and levels for categorical variables:

 Independent Variables: • The age of each participant and the daily amount of sleep each participant had per night, which is in units of years of age and hours slept. Each participant’s hours slept ranged from 4 to 10 hours.
• Gender, categorical variable with the two levels: male versus female.  Dependent Variable: Reaction Time, operationalized as the number of seconds spent on a specific task. No expected range, with the higher time score indicating lower cognitive ability.

Loading Required Libraries

# Load necessary libraries
library(ggplot2)
library(dplyr)
library(psych)
library(knitr)
# Load your dataset in this chunk
library(readxl)
human_cognitive_Excel <- read_excel("~/Desktop/Psych 214/human_cognitive_Excel.xlsx")
View(human_cognitive_Excel)
## Error in check_for_XQuartz(file.path(R.home("modules"), "R_de.so")): X11 library is missing: install XQuartz from www.xquartz.org
#saving the three selected variable in "newdata".
newdata <- human_cognitive_Excel %>% 
  select(Gender, Age, Sleep_Duration, Reaction_Time)

Descriptive Statistics

Present the descriptive statistics for your variables. Include appropriate measures of central tendency (mean, median), variability (standard deviation, range), and frequency distributions where applicable. Use R code chunks to generate and display your results.

# Example R code for descriptive statistics
# psych::describe(human_cognitive_Excel)
psych::describe(newdata)
##                vars     n   mean     sd median trimmed    mad min    max  range
## Gender*           1 80000   1.56   0.57   2.00    1.52   1.48   1   3.00   2.00
## Age               2 80000  38.53  12.10  39.00   38.53  14.83  18  59.00  41.00
## Sleep_Duration    3 80000   7.01   1.73   7.00    7.01   2.22   4  10.00   6.00
## Reaction_Time     4 80000 399.97 115.37 400.36  399.93 147.61 200 599.99 399.99
##                skew kurtosis   se
## Gender*        0.41    -0.76 0.00
## Age            0.00    -1.20 0.04
## Sleep_Duration 0.00    -1.20 0.01
## Reaction_Time  0.00    -1.20 0.41

Statistical Analysis

Analysis

Perform your chosen analysis. Make sure your output shows.

model <- lm(data = newdata, 
            Reaction_Time ~ Sleep_Duration + Age + Sleep_Duration : Age)
summary(model)
## 
## Call:
## lm(formula = Reaction_Time ~ Sleep_Duration + Age + Sleep_Duration:Age, 
##     data = newdata)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -202.263  -99.793    0.342   99.266  202.527 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        402.269841   5.657721  71.101   <2e-16 ***
## Sleep_Duration      -0.572941   0.783174  -0.732    0.464    
## Age                  0.057763   0.140249   0.412    0.680    
## Sleep_Duration:Age  -0.001882   0.019411  -0.097    0.923    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 115.4 on 79996 degrees of freedom
## Multiple R-squared:  0.000116,   Adjusted R-squared:  7.854e-05 
## F-statistic: 3.095 on 3 and 79996 DF,  p-value: 0.02575
#Sleep Durtion has a negative affect on Reaction Time, but it is not sugnificant.
#Age has a positive affect on Reaction Time, but is not significant.
#The interaction between Sleep Duration and Age has a slight negative affect, but is not #significant.

Post-hoc Power Analysis

Run a post-hoc power analysis with the pwr package. Use the pwr.f2.test function for multiple regression power analysis.

library(pwr)
pwr.f2.test(u = 3, v = 79996, f2 = 3.095, sig.level = 0.05)
## 
##      Multiple regression power calculation 
## 
##               u = 3
##               v = 79996
##              f2 = 3.095
##       sig.level = 0.05
##           power = 1

Results Interpretation

Results are interpreted clearly using APA style; connection to hypothesis is made; statistical significance and practical implications are addressed; power level is addressed.

Reaction time was regressed on the variables, age and sleep duration. Neither the main effect of age (b = 0.057763), the main effect of sleep duration (b =-0.572941), nor the interaction effect of these two variables (b = -0.001882) were statistically significant at the 0.05 level. F(3, 79996) = 3.095, p-value: 0.02575

Graph and Table

Include at least one table and one graph that effectively summarize your analysis and findings. Use R code chunks to generate these visualizations.

#Example R code for creating a graph
# You will be performing a median split
# Median split for Experience to visualize the linear x linear interaction
iris <- iris %>%
  mutate(Sepal_Length_Split = ifelse(Sepal.Length > median(Sepal.Length), "Long Sepals", "Short Sepals"))

# Plot the interaction using the median split
ggplot(iris, aes(x = Sepal.Width, y = Petal.Length, color = Sepal_Length_Split)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE) +
  labs(title = "Effect of Sepal Width on Petal Length by Sepal Length (Median Split)",
       x = "Sepal Width", y = "Petal Length") +
  scale_color_manual(values = c("Long Sepals" = "green", "Short Sepals" = "orange")) +
  theme_apa()
## Error in contrib.url(repos, "source"): trying to use CRAN without setting a mirror
ggplot(newdata, 
       aes(x = Gender , y = Reaction_Time)) + 
  geom_bar(stat = "identity")

# Example R code for creating a table
# Create a summary table by Species

summary_table <- iris %>%
  group_by(Sepal_Length_Split) %>%
  dplyr::summarise(
    Petal.Length.Mean = mean(Petal.Length),
    Petal.Length.SD = sd(Petal.Length),
    Petal.Length.Min = min(Petal.Length),
    Petal.Length.Max = max(Petal.Length)
  )
summary_table <- newdata %>%
  dplyr::summarise(
    Sleep_Duration.Mean = mean(Sleep_Duration),
    Sleep_Duration.SD = sd(Sleep_Duration),
    Sleep_Duration.Min = min(Sleep_Duration),
    Sleep_Duration.Max = max(Sleep_Duration)
  )
summary_table
## # A tibble: 1 × 4
##   Sleep_Duration.Mean Sleep_Duration.SD Sleep_Duration.Min Sleep_Duration.Max
##                 <dbl>             <dbl>              <dbl>              <dbl>
## 1                7.01              1.73                  4                 10
psych::describe(newdata)
##                vars     n   mean     sd median trimmed    mad min    max  range
## Gender*           1 80000   1.56   0.57   2.00    1.52   1.48   1   3.00   2.00
## Age               2 80000  38.53  12.10  39.00   38.53  14.83  18  59.00  41.00
## Sleep_Duration    3 80000   7.01   1.73   7.00    7.01   2.22   4  10.00   6.00
## Reaction_Time     4 80000 399.97 115.37 400.36  399.93 147.61 200 599.99 399.99
##                skew kurtosis   se
## Gender*        0.41    -0.76 0.00
## Age            0.00    -1.20 0.04
## Sleep_Duration 0.00    -1.20 0.01
## Reaction_Time  0.00    -1.20 0.41
# Display the table using knitr::kable()
kable(summary_table, caption = "Descriptive Statistics for Iris Sepal Length")
Descriptive Statistics for Iris Sepal Length
Sleep_Duration.Mean Sleep_Duration.SD Sleep_Duration.Min Sleep_Duration.Max
7.005332 1.734435 4 10

Discussion

Discuss the implications of your results for psychological theory or practice. Address the following points:

  • Implications: Age did not play a factor in reaction time. Sleep time however did effect time reaction, but it was not significant. Perhaps more sensitive reaction time testing needed to be done.
  • Limitations: The limitation was based on the data I used. I could have used a different data set than the one I used. If given more time and reasources, there could be different test and research questions asked to the participants.
  • Future Directions: Multiple data collections should be done, as well as doing different reaction time tests.

References

o Citations:  Pilcher, J. J., & Walters, A. S. (1997). How sleep deprivation affects psychological variables related to college students’ cognitive performance. Journal of American College Health, 46(3), 121–126. https://doi.org/10.1080/07448489709595597  Sadeh, A., Gruber, R., & Raviv, A. (2003). The Effects of Sleep Restriction and Extension on School-Age Children: What a Difference an Hour Makes. Child Development, 74(2), 444–455. http://www.jstor.org/stable/3696323