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1-3 Data Collection and Sampling techniques Data Collection Surveys: Most common method Telephone Survey Mailed questionnaire Personal interview Surveying records Direct observation
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Random sampling All members of the population have a equal chance of being selected. Subjects are selected using random numbers Each subject in the population is numbered Random numbers are generated using a calculator, computer, or table of random numbers. The subjects whose numbers are selected are part of the sample 4 basic methods of sampling used to obtain unbiased samples. Unbiased samples = each subject in the population had an equally likely chance of being selected.
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Systematic sampling Each subject in the population is numbered Every kth is selected from the population (3 rd, 5 th, 10 th, etc…) k is a counting number The first number is selected at random Numbering is NOT always necessary.
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Stratified Sampling Population is divided into subgroups, strata, according to some characteristic relevant to the study. A random sample is selected from each subgroup.
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Cluster sampling The population is divided into sections or clusters. One or more clusters are selected and all members of the cluster(s) are including in the sample. Clusters are a pre-existing, intact group.
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Other Sampling Methods Convenience Sample: Uses subjects that are convenient. Customers entering a mall – favorite store Customers entering a restaurant – favorite menu item Students entering a school – favorite subject. Volunteer sample or self-selected sample. Respondents decide if they want to be included in the sample Sampling Error: the difference between the results obtained from a sample and the results obtained from the population from which the sample was selected. Nonsampling Error: when the data are obtained erroneously or the sample is biased.
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1-4 Experimental Design Observational Studies Researcher observes and draws conclusions based on what is happening or what happened in the past. 3 main types: Cross-sectional study: the data are all collected at one time. Retrospective study: data are collected using records obtained from the past. Longitudinal study: data are collected over a period of time. Advantages: Typically occurs in a natural setting Done in situations where conducting an experiment would be dangerous or unethical. Studying rapes, suicides, murders, long-term psychological effects of the death of a close relative, effects on children of exposure to lead etc… Done using variables that cannot be manipulated Right-handed vs. left-handed, drug user vs. nondrug users Disadvantages: Cause-and-effect cannot be shown Expensive Time-consuming Measurements used may have inaccuracies
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Experimental Studies Researcher manipulates one of the variables and tries to determine how the manipulation influences the other variable(s). Subjects should be assigned to groups randomly Treatments should be assigned to groups randomly Quasi-experimental Study: intact groups are used instead of random groups Advantages: Researcher decides how to select subjects and assign them to groups Researcher controls independent variable Disadvantages: Unnatural settings—results may not occur in a natural setting Hawthorne effect: subjects changed their behavior that affected the results of the study
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Independent (explanatory) variable: variable that is manipulated by the researcher Type of instruction Dependent (outcome) variable: Resultant variable studied to see if it has changed significantly due to the manipulation of the independent variable. Confounding Variables: Influences the dependent variable, but cannot be separated from the independent variable. Subjects taking a pill to help lower cholesterol or subjects in a diet/exercise program may also change their diet or take supplements without the researcher knowing.
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Uses and Misuses of statistics Uses: Describe data Compare multiple data sets Determine if two variables are related Test hypotheses Make estimates/predictions about population characteristics
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Misuses Suspect Samples: Was the sample size small compared to the population? How were the subjects selected? Convenience sample Volunteers When were the subjects selected and how long did they need them? Ambiguous Averages Researchers select the measure of average (Mean, Median, Mode or Midrange) that best supports their position.
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Changing the subject Different representations of the same value Uses different units, % vs. $ Why was that unit chosen? Which unit best represents the data? Detached Statistics 40% less fat…less fat than WHAT? 1/3 fewer calories…than what? A comparison is made but you don’t know to what. Implied Connections May, can, could, some Words that don’t commit the author to back it up.
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Misleading Graphs No scale, or partial scale on axes. Circles, 3D objects, figures often blur the actual numbers
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Faulty Survey Questions Leading questions that cannot be answered with yes or no or that produce bias by author. Don’t you agree that teachers should earn more money than they currently earn? Yes, they should earn more No, they should not earn more Don’t know/no opinion The phrase “Don’t you agree” leads the respondent. A more neutral wording would be: Do you believe teacher salaries are a little lower than they should be, a little higher than they should be, or about right? Teacher salaries are a little lower than they should be Teacher salaries are a little higher than they should be Teacher salaries are about right Don’t know/no opinion
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1-3 and 1-4 Progress Check 1. Identify the sampling method used. a) To determine how long people exercise, a researcher interviews 5 people selected from a yoga class, 5 people selected from a weight lifting class, 5 people selected from an aerobics class, and from people from swimming classes. b) In a medical research study, a researcher selects a hospital and interviews all the patients that day. 2. Determine whether an observational or experimental study was used: In a large city, a researcher decides to check the police department records for 2 months to determine what types of vehicles were stolen. 3. Identify the independent and dependent variables: A researcher found that the number of times people visited fast-food restaurants increased with increasing income. (Source: healthland.time.com) 4. York University in Toronto, Canada, stated that people who had suffered from fibromyalgia were able to reduced their pain by participating in twice-weekly yoga sessions. Suggest some confounding variables the researcher might want to consider.
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1-3 and 1-4 Progress Check (Answer Key) 1. Identify the sampling method used. a) To determine how long people exercise, a researcher interviews 5 people selected from a yoga class, 5 people selected from a weight lifting class, 5 people selected from an aerobics class, and from people from swimming classes. b) In a medical research study, a researcher selects a hospital and interviews all the patients that day. 2. Determine whether an observational or experimental study was used: In a large city, a researcher decides to check the police department records for 2 months to determine what types of vehicles were stolen. 3. Identify the independent and dependent variables: A researcher found that the number of times people visited fast-food restaurants increased with increasing income. (Source: healthland.time.com) 4. York University in Toronto, Canada, stated that people who had suffered from fibromyalgia were able to reduced their pain by participating in twice-weekly yoga sessions. Suggest some confounding variables the researcher might want to consider.
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1-3 and 1-4 Practice Assignments Pg. 17 #1-4, 5-15odd Pgs.24-25 #1-14, 15-41odd
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