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Understand the essence of gathering good data through experiments and observational studies. Learn the distinction between populations, samples, response, and explanatory variables, and their relevance. Explore examples discussing the impact of drug testing on students' drug use and the advantages of experiments over observational studies.
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Chapter 4Gathering data • Learn …. How to gather “good” data About Experiments and Observational Studies
Section 4.1 Should We Experiment or Should we Merely Observe?
Population, Sample and Variables • Population: all the subjects of interest • Sample: subset of the population - data is collected on the sample • Response variable: measures the outcome of interest • Explanatory variable: the variable that explains the response variable
Types of Studies • Experiments • Observational Studies
Experiment • A researcher conducts an experiment by assigning subjects to certain experimental conditions and then observing outcomes on the response variable • The experimental conditions, which correspond to assigned values of the explanatory variable, are called treatments
Observational Study • In an observational study, the researcher observes values of the response variable and explanatory variables for the sampled subjects, without anything being done to the subjects (such as imposing a treatment)
Example: Does Drug Testing Reduce Students’ Drug Use? • Headline: “Student Drug Testing Not Effective in Reducing Drug Use” • Facts about the study: • 76,000 students nationwide • Schools selected for the study included schools that tested for drugs and schools that did not test for drugs • Each student filled out a questionnaire asking about his/her drug use
Example: Does Drug Testing Reduce Students’ Drug Use? • Conclusion: Drug use was similar in schools that tested for drugs and schools that did not test for drugs
Example: Does Drug Testing Reduce Students’ Drug Use? • What were the response and explanatory variables?
Example: Does Drug Testing Reduce Students’ Drug Use? • Was this an observational study or an experiment?
Advantages of Experiments over Observational Studies • We can study the effect of an explanatory variable on a response variable more accurately with an experiment than with an observational study • An experiment reduces the potential for lurking variables to affect the result
Experiments vs Observational Studies • When the goal of a study is to establish cause and effect, an experiment is needed • There are many situations (time constraints, ethical issues,..) in which an experiment is not practical
Good Practices for Using Data • Beware of anecdotal data • Rely on data collected in reputable research studies
Example of a Dataset • General Social Survey (GSS): • Observational Data Base • Tracks opinions and behaviors of the American public • A good example of a sample survey • Gathers information by interviewing a sample of subjects from the U.S. adult population • Provides a snapshot of the population
Section 4.2 What Are Good Ways and Poor Ways to Sample?
Setting Up a Sample Survey • Step 1: Identify the Population • Step 2: Compile a list of subjects in the population from which the sample will be taken. This is called the sampling frame. • Step 3: Specify a method for selecting subjects from the sampling frame. This is called the sampling design.
Random Sampling • Best way of obtaining a representative sample • The sampling frame should give each subject an equal chance of being selected to be in the sample
Simple Random Sampling • A simple random sample of ‘n’ subjects from a population is one in which each possible sample of that size has the same chance of being selected
Example: Sampling Club Officers for a New Orleans Trip • The five offices: President, Vice-President, Secretary, Treasurer and Activity Coordinator • The possible samples are: (P,V) (P,S) (P,T) (P,A) (V,S) (V,T) (V,A) (S,T) (S,A) (T,A)
The possible samples are: (P,V) (P,S) (P,T) (P,A) (V,S) (V,T) (V,A) (S,T) (S,A) (T,A) What are the chances the President and Activity Coordinator are selected? • 1 in 5 • 1 in 10 • 1 in 2
Selecting a Simple Random Sample • Use a Random Number Table • Use a Random Number Generator
Methods of Collecting Data in Sample Surveys • Personal Interview • Telephone Interview • Self-administered Questionnaire
How Accurate Are Results from Surveys with Random Sampling? • Sample surveys are commonly used to estimate population percentages • These estimates include a margin of error
Example: Margin of Error • A survey result states: “The margin of error is plus or minus 3 percentage points” • This means: “It is very likely that the reported sample percentage is no more than 3% lower or 3% higher than the population percentage” • Margin of error is approximately:
Be Wary of Sources of Potential Bias in Sample Surveys • A variety of problems can cause responses from a sample to tend to favor some parts of the population over others
Types of Bias in Sample Surveys • Sampling Bias: occurs from using nonrandom samples or having undercoverage • Nonresponse bias: occurs when some sampled subjects cannot be reached or refuse to participate or fail to answer some questions • Response bias: occurs when the subject gives an incorrect response or the question is misleading
Poor Ways to Sample • Convenience Sample: a sample that is easy to obtain • Unlikely to be representative of the population • Severe biases my result due to time and location of the interview and judgment of the interviewer about whom to interview
Poor Ways to Sample • Volunteer Sample: most common form of convenience sample • Subjects volunteer for the sample • Volunteers are not representative of the entire population
A Large Sample Does Not Guarantee An Unbiased Sample Warning: