/*! 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 16 Fast-Twitch Muscles and Race Exa... [FREE SOLUTION] | 91Ó°ÊÓ

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Fast-Twitch Muscles and Race Example 1.5 studied a variant of the gene \(A C T N 3\) which inhibits fast-twitch muscles and seems to be less prevalent in sprinters. A separate study \(^{10}\) indicated ethnic differences: Approximately \(20 \%\) of a sample of Caucasians, approximately \(25 \%\) of a sample of Asians, and approximately \(1 \%\) of a sample of Africans had the gene variant. What are the variables in this study? Classify each as categorical or quantitative.

Short Answer

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The two variables in this study are 'Ethnicity' and the 'presence of the ACTN3 gene variant'. 'Ethnicity' is a categorical variable as it classifies the population into Caucasians, Asians and Africans. On the other hand, the 'presence of the ACTN3 gene variant' is a quantitative variable due to it being measured as a percentage.

Step by step solution

01

Identify the Variables

The variables of a study are the different aspects or elements that are measured in that study. Here, there are two clear variables: Ethnicity, a factor which differentiates the study’s population into Caucasians, Asians and Africans, and the presence of the ACTN3 gene variant, which is measured in percentages within the given populations.
02

Classify the Variables

There are two types of variables: categorical and quantitative. Categorical variables are those which can be divided up into different categories and have no numerical value, while quantitative variables are those which are numerical, and can be measured. Here, 'Ethnicity' is a categorical variable, as it divides people into the categories of Caucasians, Asians and Africans. The 'presence of the ACTN3 gene variant' is a quantitative variable, as it is measured numerically as a percentage.

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Key Concepts

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

Categorical Variables
In statistics, it's crucial to understand the difference between categorical and quantitative variables. Categorical variables are those that can be divided into groups or categories. They don’t have inherent numerical values. Instead, they describe qualities or characteristics. For example:
  • Ethnicity, such as Caucasian, Asian, or African, is a categorical variable. These categories help researchers and statisticians segregate data into clear groups.
  • Eye color, such as blue, green, or brown, is another example of a categorical variable.
Recognizing categorical variables is important because they typically determine how data analysis should be conducted. For instance, statistical techniques like chi-square tests are often best-suited for these types of variables. In the context of the exercise, 'Ethnicity' is a categorical variable that classifies people into distinct groups without any order or numerical value.
Quantitative Variables
Quantitative variables differ from categorical variables because they are numerical. This means they can be counted, measured, and expressed using numbers. They are critical for calculations and statistical analysis, allowing for operations like addition and subtraction.
  • Age, measured in years, is a common example of a quantitative variable.
  • Height, measured in inches or centimeters, also falls under this category.
In our exercise, the 'presence of the ACTN3 gene variant', expressed as a percentage, is a quantitative variable. Percentages are numerical and allow researchers to perform various statistical analyses, such as calculating averages or variations across different ethnic groups. Recognizing quantitative variables helps in selecting appropriate statistical tools, like mean or correlation calculations when analyzing data sets.
Genetics and Ethnicity
Understanding the genetics and ethnicity interaction is an important research area in fields like genetics, anthropology, and sociology. Genes, which are units of heredity, can have variants that affect traits and characteristics shared within ethnic groups. The study of the ACTN3 gene variant and its prevalence among different ethnicities reveals how genetic differences can lead to diverse physiological traits. For instance:
  • Caucasians have around 20% prevalence of the gene variant linked to fast-twitch muscles.
  • Asians show a 25% prevalence.
  • Africans have only about a 1% prevalence.
These differences can be significant in understanding how genetics can influence physical abilities and susceptibilities to certain conditions. Ethnic differences may result from adaptation to environments over centuries, affecting the genetic makeup and frequency of certain traits or conditions in those populations. By examining genetics and ethnicity, scientists can uncover patterns that hold insights into human evolution and biology.

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Most popular questions from this chapter

The president of a large university recently announced \(^{43}\) that the school would be switching to dorms that are all single-sex, because, he says, research shows that single-sex dorms reduce the number of student hook-ups for casual sex. He cites studies showing that, in universities that offer both same-sex and coed housing, students in coed dorms report hooking up for casual sex more often. (a) What are the cases in the studies cited by the university president? What are the two variables being discussed? Identify each as categorical or quantitative. (b) Which is the explanatory variable and which is the response variable? (c) According to the second sentence, does there appear to be an association between the variables? (d) Use the first sentence to determine whether the university president is assuming a causal relationship between the variables. (e) Use the second sentence to determine whether the cited studies appear to be observational studies or experiments? (f) Name a confounding variable that might be influencing the association. (g) Can we conclude from the information in the studies that single-sex dorms reduce the number of student hook-ups? (h) What common mistake is the university president making?

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