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A recent study shows that just one session of cognitive behavioral therapy can help people with insomnia. \({ }^{16}\) In the study, forty people who had been diagnosed with insomnia were randomly divided into two groups of 20 each. People in one group received a one-hour cognitive behavioral therapy session while those in the other group received no treatment. Three months later, 14 of those in the therapy group reported sleep improvements while only 3 people in the other group reported improvements. (a) What are the cases in this study? (b) What are the relevant variables? Identify each as categorical or quantitative. (c) If we create a dataset of the information with cases as rows and variables as columns, how many rows and how many columns would the dataset have?

Short Answer

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(a) The cases in this study are the 40 individuals diagnosed with insomnia. (b) The relevant variables are whether an individual received cognitive behavioral therapy (categorical) and whether they reported sleep improvements (categorical). (c) The data set would contain 40 rows and 2 columns.

Step by step solution

01

Identify the Cases

Cases in a study are the individual units of observation. In this study, the cases are the 40 people who have been diagnosed with insomnia and were divided into two groups.
02

Identify the Variables

Variables are characteristics that can take on different values for different cases. Here the variables include whether an individual received cognitive behavioral therapy (categorical variable: yes or no) and whether the individual reported sleep improvements three months later (categorical variable: yes or no).
03

Count Rows and Columns in the Dataset

If we create a dataset using this information, each row would represent a unique case – in this case, each individual participant in the study. Hence, the dataset would have 40 rows. The columns correspond to the variables we've identified. Here, there are two variables, so the dataset would have two columns.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Insomnia Study
In this research, the main focus was to determine whether cognitive behavioral therapy (CBT) could help people suffering from insomnia. The study involved a total of 40 participants, all diagnosed with insomnia. These participants were randomly divided into two groups.
  • Group 1 received a one-hour session of cognitive behavioral therapy.
  • Group 2 did not receive any treatment.
Three months after the initial session, the researchers assessed the participants to gauge improvements in their sleep patterns.
CBT is a form of therapy that aims to change the behaviors and thought patterns that contribute to insomnia. This study's results shed light on how even a single therapy session can possibly yield substantial sleep improvements over an extended period. Out of 20 participants in the CBT group, 14 reported improvements in sleep. Conversely, in the non-therapy group, only 3 participants noticed an improvement.
Such studies are essential as they explore non-pharmacological options for treating insomnia, which can lead to more effective and less intrusive forms of help.
Categorical Variables
In the context of the study, variables are critical for organizing data and interpreting the results. Variables come in two primary types: categorical and quantitative. Here, both identified variables are categorical, meaning they represent categories or groups without any intrinsic order.
  • **Therapy Received:** This variable indicates whether a participant received cognitive behavioral therapy. The categories are: yes or no.
  • **Sleep Improvement Reported:** This variable captures whether there was an improvement in sleep after three months. Again, it's categorized as: yes or no.
Categorical variables are particularly useful in research for creating groups or segments that help in understanding patterns or trends. For instance, by categorizing participants based on whether they received therapy or experienced improvements, researchers can more easily analyze the impact of CBT on insomnia. Additionally, these variables guide researchers in structuring their datasets, aiding in clearer data analysis and results interpretation.
Dataset Creation
Creating a dataset is an essential step in organizing and analyzing the collected data. Since each participant in the study represents an individual case, the dataset needs a row for every participant. Thus, for this study involving 40 participants, the dataset would contain 40 rows. When constructing the dataset, each column should correspond to a variable that you are interested in studying. In this case, there are two categorical variables:
  • **Received Cognitive Behavioral Therapy:** This column will have entries either "yes" or "no" for each participant.
  • **Reported Sleep Improvement:** This column will also have entries either "yes" or "no" for each participant.
Therefore, the dataset will consist of two columns.
Organizing data in this manner allows researchers to efficiently query and analyze specific aspects of the study. Whether it’s summarizing categorical data through counts and percentages or preparing it for deeper statistical analysis, well-structured datasets pave the way for meaningful insights and conclusions.

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Most popular questions from this chapter

How Are Age and Income Related? An economist collects data from many people to determine how age and income are related. How the data is collected determines whether the variables are quantitative or categorical. Describe how the information might be recorded if we regard both variables as quantitative. Then describe a different way to record information about these two variables that would make the variables categorical.

Hookahs are waterpipes used for smoking flavored tobacco. One study \({ }^{13}\) of 3770 university students in North Carolina found that \(40 \%\) had smoked a hookah at least once, with many claiming that the hookah smoke is safer than cigarette smoke. However, a second study observed people at a hookah bar and recorded the length of the session, the frequency of puffing, and the depth of inhalation. An average session lasted one hour and the smoke inhaled from an average session was equal to the smoke in more than 100 cigarettes. Finally, a third study measured the amount of tar, nicotine, and heavy metals in samples of hookah smoke, finding that the water in a hookah filters out only a very small percentage of these chemicals. Based on these studies and others, many states are introducing laws to ban or limit hookah bars. In each of the three studies, identify the individual cases, the variables, and whether each variable is quantitative or categorical.

A study published in 2010 showed that city dwellers have a \(21 \%\) higher risk of developing anxiety disorders and a \(39 \%\) higher risk of developing mood disorders than those who live in the country. A follow-up study published in 2011 used brain scans of city dwellers and country dwellers as they took a difficult math test. \(^{61}\) To increase the stress of the participants, those conducting the study tried to humiliate the participants by telling them how poorly they were doing on the test. The brain scans showed very different levels of activity in stress centers of the brain, with the urban dwellers having greater brain activity than rural dwellers in areas that react to stress. (a) Is the 2010 study an experiment or an observational study? (b) Can we conclude from the 2010 study that living in a city increases a person's likelihood of developing an anxiety disorder or mood disorder? (c) Is the 2011 study an experiment or an observational study? (d) In the 2011 study, what is the explanatory variable and what is the response variable? Indicate whether each is categorical or quantitative. (e) Can we conclude from the 2011 study that living in a city increases activity in stress centers of the brain when a person is under stress?

Choose Your Own Question Come up with your own question you would like to be able to answer. What is the question? How might you collect data to answer this question? What would the cases be? What would the variable(s) be?

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