/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 A study that surveyed a random s... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A study that surveyed a random sample of otherwise healthy high school students found that they are more likely to get muscle cramps when they are stressed. The study also noted that students drink more coffee and sleep less when they are stressed. (a) What type of study is this? (b) Can this study be used to conclude a causal relationship between increased stress and muscle cramps? (c) State possible confounding variables that might explain the observed relationship between increased stress and muscle cramps.

Short Answer

Expert verified
(a) Observational study. (b) No, causal relationships cannot be concluded. (c) Diet, physical activity, and general health.

Step by step solution

01

Identify the Study Type

The study mentioned in the problem involves observing the behaviors of a random sample of students to see if there's an association between stress and muscle cramps, as well as other factors like coffee consumption and sleep. Such studies are usually observational because the researchers do not manipulate the variables, they only observe and record them.
02

Determine Causal Inference

In an observational study, researchers observe subjects without assigning treatments. This means that while correlations between stress and muscle cramps can be found, causal relationships cannot be established because of the potential influence of uncontrolled variables.
03

Identify Possible Confounding Variables

Confounding variables may distort the observable relationship between stress and muscle cramps. Possible confounders include other lifestyle choices linked to stress such as dietary factors, physical activity levels, or even the general health condition of students, all of which could independently affect the likelihood of experiencing cramps.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Causal Inference
In the context of observational studies like the one described, causal inference refers to the process of determining whether one event or condition directly affects another. In the study where high school students experiencing stress also report muscle cramps, one might question if stress causes these cramps. However, drawing a causal link from an observational study is challenging.
Observational studies do not involve manipulating variables. Researchers merely observe and record naturally occurring events or behaviors. This means:
  • We see associations but not direct cause-and-effect relationships.
  • Controlled experiments are needed for causal inference by randomly assigning different groups to various conditions, which isolate the variables thoroughly.
Without experimental intervention, it's difficult to conclude that stress directly causes muscle cramps. There could be other variables in play, which leads us to our next important concept.
Confounding Variables
Confounding variables are like hidden influencers that may distort or obscure the true relationship between two studied variables. In our study, while we observe a relationship between stress and muscle cramps, it’s important to consider what else might be affecting this relationship. Several possible confounding variables include:
  • Dietary habits – students might change what they eat when stressed, impacting muscle cramping.
  • Physical activity – stress might correlate with increased or decreased physical activity, which could also influence cramps.
  • Overall health – students' general health may affect how they react to stress or muscular problems.
    • These confounding variables must be considered because they might independently influence both stress and muscle cramps. Proper analysis involves identifying and adjusting for these confounders to understand the primary relationship being observed.
Correlation vs Causation
Correlation is a term used when two variables are observed to move together. For example, in this study, stress and muscle cramps show a correlation, meaning they occur together more frequently than by chance. However, correlation doesn't imply causation. Here's why:
  • Correlation suggests a relationship but doesn’t confirm that one variable directly affects the other.
  • A third factor (confounding variable) might be causing both phenomena to occur together.
To illustrate with the study: students who are stressed drink more coffee. Both increased coffee consumption and stress might link to muscle cramps, but this doesn't mean stress alone is the cause of cramps. The famous saying "correlation does not equal causation" embodies this understanding. By acknowledging this distinction, researchers can avoid false conclusions and pave the way for precise scientific inquiries.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The Buteyko method is a shallow breathing technique developed by Konstantin Buteyko, a Russian doctor, in 1952. Anecdotal evidence suggests that the Buteyko method can reduce asthma symptoms and improve quality of life. In a scientific study to determine the effectiveness of this method, researchers recruited 600 asthma patients aged \(18-69\) who relied on medication for asthma treatment. These patients were randomnly split into two research groups: one practiced the Buteyko method and the other did not. Patients were scored on quality of life, activity, asthma symptoms, and medication reduction on a scale from 0 to 10 . On average, the participants in the Buteyko group experienced a significant reduction in asthma symptoms and an improvement in quality of life. \({ }^{13}\) (a) Identify the main research question of the study. (b) Who are the subjects in this study, and how many are included? (c) What are the variables in the study? Identify each variable as numerical or categorical. If numerical, state whether the variable is discrete or continuous. If categorical, state whether the variable is ordinal.

In a public health study on the effects of consumption of fruits and vegetables on psychological well-being in young adults, participants were randomly assigned to three groups: (1) dietas-usual, (2) an ecological momentary intervention involving text message reminders to increase their fruits and vegetable consumption plus a voucher to purchase them, or (3) a fruit and vegetable intervention in which participants were given two additional daily servings of fresh fruits and vegetables to consume on top of their normal diet. Participants were asked to take a nightly survey on their smartphones. Participants were student volunteers at the University of Otago, New Zealand. At the end of the 14 -day study, only participants in the third group showed improvements to their psychological well-being across the 14 -days relative to the other groups. \({ }^{45}\) (a) What type of study is this? (b) Identify the explanatory and response variables. (c) Comment on whether the results of the study can be generalized to the population. (d) Comment on whether the results of the study can be used to establish causal relationships. (e) A newspaper article reporting on the study states, "The results of this study provide proof that giving young adults fresh fruits and vegetables to eat can have psychological benefits, even over a brief period of time." How would you suggest revising this statement so that it can be supported by the study?

To assess the effectiveness of taking large doses of vitamin \(\mathrm{C}\) in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. A quarter of the patients were assigned a placebo, and the rest were evenly divided between \(1 \mathrm{~g}\) Vitamin \(\mathrm{C}, 3 \mathrm{~g}\) Vitamin \(\mathrm{C},\) or \(3 \mathrm{~g}\) Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The nurses who handed the prescribed pills to the patients knew which patient received which treatment, but the researchers assessing the patients when they were sick did not. No significant differences were observed in any measure of cold duration or severity 43 between the four medication groups, and the placebo group had the shortest duration of symptoms. (a) Was this an experiment or an observational study? Why? (b) What are the explanatory and response variables in this study? (c) Were the patients blinded to their treatment? (d) Was this study double-blind? (e) Participants are ultimately able to choose whether or not to use the pills prescribed to them. We might expect that not all of them will adhere and take their pills. Does this introduce a confounding variable to the study? Explain your reasoning.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.