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Exercise 1.3 introduces a study where researchers collected data to examine the relationship between air pollutants and preterm births in Southern California. During the study air pollution levels were measured by air quality monitoring stations. Length of gestation data were collected on 143,196 births between the years 1989 and 1993 , and air pollution exposure during gestation was calculated for each birth. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Short Answer

Expert verified
The population is all births in Southern California from 1989 to 1993; the sample is 143,196 births studied. Results are generalizable to similar populations but cannot establish causality due to the observational nature of the study.

Step by step solution

01

Understand the Population and Sample

In any statistical study, the population refers to the entire group that the researchers are interested in investigating. In this case, the population is all births in Southern California during the years 1989 to 1993. Meanwhile, the sample is a subset of the population that the researchers have actually studied. The sample in this study consists of 143,196 births from which data were collected regarding gestation length and air pollution exposure.
02

Discuss the Generalizability of the Results

Generalizability refers to the extent to which the results of a study can be applied to the larger population. Given that the sample size of 143,196 births is relatively large and likely representative of the birth population in Southern California during that time frame, the findings of this study can be fairly well generalized to this population. However, results may not necessarily be generalizable to other regions or times without similar air pollution exposures.
03

Evaluate Causal Relationships

To determine causality, typically a study must be an experiment where variables can be controlled, usually with a random assignment of treatments. This study appears to be observational, as it observes existing conditions over the study period without manipulating any variables. Therefore, while the study might identify correlations between air pollution and preterm births, it cannot definitively establish a causal relationship due to potential confounding variables.

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Key Concepts

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

Population and Sample
In statistical studies, understanding the difference between a population and a sample is crucial. The population is the complete set of all elements that are of interest in a particular study. In this case, the population consists of all births in Southern California between 1989 and 1993.
Researchers usually cannot study an entire population due to time, cost, and practicality issues. This is why they select a sample, which is a smaller subset of the population that represents the whole. In the study we’re examining, the sample includes 143,196 births within the specified time frame. This is a sizable sample that provides a good approximation of the population. With such a large number, we're likely covering a diverse array of circumstances and environments.
However, it's still a sample, meaning there might be certain elements or specific cases in the broader population that are not represented.
Generalizability of Results
For any study, one of the primary goals is to ensure that the results can be applied to the wider population. This concept is known as generalizability. If a sample is representative, then the findings from the study are more likely to hold true for the population as a whole. In this study on births and air pollution, the sample is large and well-selected, covering numerous cases. Thus, the results have a good potential for being generalized across the birth population of Southern California during that period. However, we must be cautious, as the conditions in Southern California during 1989-1993 might be unique.
Changes in variables such as local air pollution, healthcare advancements, and demographic shifts might affect the generalizability when extending conclusions to different locations or future contexts.
Causal Relationships
When discussing causal relationships, it's important to note the difference between causation and correlation. Correlation is a relationship where two variables move together, but causation means one variable actually causes the change in the other. Identifying causation typically requires controlled experimental conditions. In observational studies like this one, where researchers do not control for variables, it's challenging to assert a causal link. While this study may suggest a correlation between higher air pollution levels and shorter gestation periods, there could be other confounding variables at play.
Without further experimental evidence, such as randomized controlled trials, claiming a causal pathway is speculative and should be interpreted with caution.
Observational Study
An observational study is a type of research in which investigators observe subjects and measure variables of interest without assigning interventions or treatments. This approach contrasts with experiments where researchers actively intervene and manipulate the environment or conditions to assess outcomes. In the study under discussion, researchers measured air pollution and linked it to gestation length over several years. There was no manipulation of variables by the researchers; instead, they reviewed pre-existing conditions and data.
While observational studies are valuable for identifying associations and trends, they inherently limit definitive conclusions about causality due to the potential presence of confounding factors.
Gestation Length
Gestation length refers to the period from conception to birth. In humans, this is typically around 40 weeks but can be affected by various factors, including environmental elements such as air pollution. The study in question examined gestation length in relation to air quality. Data on the gestation period were collected from a substantial number of births, highlighting the importance of accurate, comprehensive data collection in understanding such relationships.
Insights from studies like this can affect public health policies, especially in addressing environmental risks that might influence pregnancy outcomes.
  • Accurately measuring gestation helps to monitor birth health.
  • Shorter gestation periods are linked to increased risks for newborns.
  • Understanding influences on gestation offers insights for healthcare improvements.

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Most popular questions from this chapter

A university wants to determine what fraction of its undergraduate student body support a new \(\$ 25\) annual fee to improve the student union. For each proposed method below, indicate whether the method is reasonable or not. (a) Survey a simple random sample of 500 students. (b) Stratify students by their field of study, then sample \(10 \%\) of students from each stratum. (c) Cluster students by their ages (e.g. 18 years old in one cluster, 19 years old in one cluster, etc.), then randomly sample three clusters and survey all students in those clusters.

Researchers collected data to examine the relationship between air pollutants and preterm births in Southern California. During the study air pollution levels were measured by air quality monitoring stations. Specifically, levels of carbon monoxide were recorded in parts per million, nitrogen dioxide and ozone in parts per hundred million, and coarse particulate matter \(\left(\mathrm{PM}_{10}\right)\) in \(\mu g / m^{3}\). Length of gestation data were collected on 143,196 births between the years 1989 and 1993, and air pollution exposure during gestation was calculated for each birth. The analysis suggested that increased ambient \(\mathrm{PM}_{10}\) and, to a lesser degree, CO concentrations may be associated with the occurrence of preterm births. 12 (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 study of three nationally representative largescale data sets from Ireland, the United States, and the United Kingdom \((\mathrm{n}=17,247)\), teenagers between the ages of 12 to 15 were asked to keep a diary of their screen time and answer questions about how they felt or acted. The answers to these questions were then used to compute a psychological well-being score. Additional data were collected and included in the analysis, such as each child's sex and age, and on the mother's education, ethnicity, psychological distress, and employment. The study concluded that there is little clear-cut evidence that screen time decreases adolescent well-being. \({ }^{46}\) (a) What type of study is this? (b) Identify the explanatory variables. (c) Identify the response variable. (d) Comment on whether the results of the study can be generalized to the population, and why. (e) Comment on whether the results of the study can be used to establish causal relationships.

The Stanford Open Policing project gathers, analyzes, and releases records from traffic stops by law enforcement agencies across the United States. Their goal is to help researchers, journalists, and policymakers investigate and improve interactions between police and the public. \(^{47}\) The following is an excerpt from a summary table created based off of the data collected as part of this project. $$ \begin{array}{lllrrr} \hline & & \text { Driver's } & \text { No. of stops } & {\text { \% of stopped }} \\ \text { County } & \text { State } & \text { race } & \text { per year } & \text { cars searched } & \text { drivers arrested } \\ \hline \text { Apaice County } & \text { Arizona } & \text { Black } & 266 & 0.08 & 0.02 \\ \text { Apaice County } & \text { Arizona } & \text { Hispanic } & 1008 & 0.05 & 0.02 \\ \text { Apaice County } & \text { Arizona } & \text { White } & 6322 & 0.02 & 0.01 \\ \text { Cochisc County } & \Lambda \text { rizona } & \text { Black } & 1169 & 0.05 & 0.01 \\ \text { Cochise County } & \text { Arizona } & \text { Hispanic } & 9453 & 0.04 & 0.01 \\ \text { Cochise County } & \text { Arizona } & \text { White } & 10826 & 0.02 & 0.01 \\ \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\ \text { Wood County } & \text { Wisconsin } & \text { Black } & 16 & 0.24 & 0.10 \\ \text { Wood County } & \text { Wisconsin } & \text { Hispanic } & 27 & 0.04 & 0.03 \\ \text { Wood County } & \text { Wisconsin } & \text { White } & 1157 & 0.03 & 0.03 \\ \hline \end{array} $$ (a) What variables were collected on each individual traffic stop in order to create to the summary table above? (b) State whether each variable is numerical or categorical. If numerical, state whether it is continuous or discrete. If categorical, state whether it is ordinal or not. (c) Suppose we wanted to evaluate whether vehicle search rates are different for drivers of different races. In this analysis, which variable would be the response variable and which variable would be the explanatory variable?

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