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In Exercise \(1.18,\) we ask whether experiences of parents can affect future children, and describe a study that suggests the answer is yes. A second study, described in the same reference, shows similar effects. Young female mice were assigned to either live for two weeks in an enriched environment or not. Matching what has been seen in other similar experiments, the adult mice who had been exposed to an enriched environment were smarter (in the sense that they learned how to navigate mazes faster) than the mice that did not have that experience. The other interesting result, however, was that the offspring of the mice exposed to the enriched environment were also smarter than the offspring of the other mice, even though none of the offspring were exposed to an enriched environment themselves. What are the two main variables in this study? Is each categorical or quantitative? Identify explanatory and response variables.

Short Answer

Expert verified
The two main variables are 'living conditions' and 'intelligence', the former being categorical and the latter being quantitative. The explanatory variable is 'living conditions' and the response variable is 'intelligence'.

Step by step solution

01

Identify Main Variables

The first step in answering this question is to determine the two main variables in the study. In this case, they are the 'living conditions' and 'intelligence (speed in navigating mazes)' of the mice.
02

Classify Variables as Categorical or Quantitative

The next step is to determine whether each variable is categorical or quantitative. The 'living conditions' variable is categorical because it can be divided into two distinct categories: mice that lived in an enriched environment and mice that did not. The 'intelligence' variable is quantitative because it can be measured by how quickly the mice navigate mazes.
03

Identify Explanatory and Response Variables

The final step is to identify which of the variables is explanatory and which is the response. Here, the 'living conditions' variable is explanatory because it explains or can have an effect on the response variable. Therefore, the 'intelligence' variable is the response because it responds to or can be affected by the explanatory variable.

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Key Concepts

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

Quantitative Variables
Quantitative variables refer to variables that are measured numerically. Their values convey specific quantities or numerical information. In our exercise, the intelligence of mice, assessed by how fast they navigate a maze, is a perfect example of a quantitative variable. This variable can be expressed using numbers, such as seconds or minutes taken by the mice to complete the maze. Quantitative variables like these are often used in data analysis because they allow researchers to apply mathematical and statistical techniques. Understanding quantitative data can help in:
  • Summarizing information using measures like mean, median, or range.
  • Comparing differences between groups based on averages.
  • Visualizing data through graphs and charts to showcase trends or patterns.
These interpretations provide valuable insights into the study's outcomes, helping explain differences in intelligence levels influenced by different environments.
Categorical Variables
Categorical variables, unlike quantitative ones, are not numerical. Instead, they represent groups or categories. In the given exercise, the 'living conditions' of mice is a categorical variable. It consists of two distinct groups: mice living in enriched environments and those that do not. This type of variable helps researchers categorize subjects based on traits or factors that aren't inherently measured by numbers. Categorical data is crucial in scientific studies for several reasons:
  • It helps identify and separate different groups within a dataset for comparison.
  • It is useful for understanding frequencies or proportions, such as how many mice were in each environment.
  • It aids in organizing information that has qualitative attributes, making analysis more structured.
By recognizing the nature of categorical variables, researchers can better understand how different group classifications might affect other variables in a study.
Explanatory and Response Variables
In studies, explanatory and response variables play a crucial role in understanding cause-and-effect relationships. The explanatory variable, sometimes called an independent variable, is the one that you suspect may influence the other variable. In the mouse study, the 'living conditions' variable is explanatory because it impacts the outcome. On the other hand, the response variable, also known as a dependent variable, is what researchers observe or measure as an effect. Here, the 'intelligence' of the mice, measured by maze navigation speed, is the response variable. Identifying these variables is essential for:
  • Determining the direction of influence between the variables.
  • Ensuring accurate data analysis and interpretation in research.
  • Formulating clear hypotheses that guide experimental design.
Understanding the role of each variable type helps clarify how one factor could potentially impact another in any given study.

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Most popular questions from this chapter

State whether or not the sampling method described produces a random sample from the given population. The population is the approximately 25,000 protein-coding genes in human DNA. Each gene is assigned a number (from 1 to 25,000 ), and computer software is used to randomly select 100 of these numbers yielding a sample of 100 genes.

Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study \(^{14}\) examining noses, researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of noses. The gender of the 859 participants in the study was also recorded, and the study reports that "male increments in nasal dimensions were larger than female ones." (a) How many variables are mentioned in this description? (b) How many of the variables are categorical? How many are 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?

Following the steps given, design a randomized comparative experiment to test whether fluoxetine (the active ingredient in Prozac pills) is effective at reducing depression. The participants are 50 people suffering from depression and the response variable is the change on a standard questionnaire measuring level of depression. (a) Describe how randomization will be used in the design. (b) Describe how a placebo will be used. (c) Describe how to make the experiment double-blind.

The ability to recognize and interpret facial expressions is key to successful human interaction. Could this ability be compromised by sleep deprivation? A 2015 study \(^{58}\) took 18 healthy young adult volunteers and exposed them to 70 images of facial expressions, ranging from friendly to threatening. They were each shown images both after a full night of sleep and after sleep deprivation ( 24 hours of being awake), and whether each individual got a full night of sleep or was kept awake first was randomly determined. The study found that people were much worse at recognizing facial expressions after they had been kept awake. (a) What are the explanatory and response variables? (b) Is this an observational study or a randomized experiment? If it is a randomized experiment, is it a randomized comparative experiment or a matched pairs experiment? (c) Can we conclude that missing a night of sleep hinders the ability to recognize facial expressions? Why or why not? (d) In addition, for the people who had slept, the study found a strong positive association between quality of Rapid Eye Movement (REM) sleep and ability to recognize facial expressions. Can we conclude that better quality of REM sleep improves ability to recognize facial expressions? Why or why not?

Describe an association between two variables. Give a confounding variable that may help to account for this association. Air pollution is higher in places with a higher proportion of paved ground relative to grassy ground.

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