Math 37 - Lecture 2
Obtaining Data (3.1, 3.3)
Anecdotes=examining a few cases with no systematic comparison
Available Data=data gathered from previous studies
Collecting your own data
Variable of interest: Characteristic changing from unit to unit
Examples: Student opinion, intelligence level, heart rate, gas mileage
Instruments:
Population: The collection of objects for which you want information
Examples: All US college students, Oranges in delivery,
All 93 million households
Census: Obtain measurements for every unit in the population
Drawbacks:
Sample: A part or subset of the population
Examples:
Key Idea: Use sample to gain information about entire population.
Units: Individual members of the population
Sampling Frame: A list of all units in the population
Example A newspaper article about an opinion poll says that"43% of Americans approve of the president's overall job performance". Toward the end of the article, you read: "The poll is based on telephone interviews with 1210 adults from around the United States, excluding Alaska and Hawaii.
Variable= Population=
Sample= Units=
Sampling Frame=
Observational Study: Passive, record the data without interfering with the subjects (intervention occurs naturally)
Survey: Trying to assess the subjects' opinions
Experiment: Active, you change one variable controlling the others, and observe what happens because of the change (impose a treatment)
Example Lee Salk knew that hypothalamus was largely responsible for emotions. Still, our society seems to say the heart is. Thus, he is interested in the heart's role in our emotions.
Observational Study -
Survey -
Experiment -
Terminology:
Explanatory Variable/Factor (EV)- The variable we actively change
Levels = Possible settings of the factor
Treatment = Specific experimental condition
Response Variable (RV) =The response that we observe
Extraneous Variable =Other variables that might have an effect on the response
Example In 1940, to study the effect of propaganda on attitude of American students toward German government, students read German propaganda for several months and were then retested to see if their attitudes had changed.
Type of study?
Explanatory variable =
Response variable =
What conclusions can be drawn?
Extraneous variable=Germany conquered France during the study
Confounding= unable to separate the effects of the two variable
Comparative Experiment - Have at least two groups to compare e.g., treatment group (propaganda) and a control group (no propaganda). Sketch this experimental design. Why is this better? Always?