Unit 3 - Collecting Data

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1
Convenience Sampling
A sample of people that are easy to reach WITHOUT any randomizing
-Asking students to volunteer to answer the survey
-Social media surveys
-Street surveys
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Simple Random Sampling (SRS)
Choosing a group from the population so that every individual + every possble group of individuals has a chance of being chosen
-Picking names from a hat
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SRS steps
1) label individuals in population
2) randomize
3) select sample
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Stratified Sampling
Groups the population by some variable (homogenous groups) and then chooses a SRS from each group
-Group doctors at a hospital by the floor they work on
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Stratum
One group
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Strata
Multiple groups
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Cluster sampling
Splits population on group based on location (heterogenous group), then randomly selecting EVERYONE from ONE of the groups
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Systematic sampling
RANDOMLY choose which place to start, then sample every nth individual after that
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Census
Collecting data from entire population
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Voluntary Response Bias
People CHOOSE to be in a sample (convenience sample), some in the population may not choose to be surveyed --> data isn't reflective of population
-Sample may be different from the people who chose not to respond
-Ex. online survey about running, only runners who like it would respond
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Undercoverage
When some members of a population CAN'T be chosen/are unlikely to be chosen
-Ex. only surveying people from your grade on what their GPAs are
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Non-Response Bias
When an individual is selected to be in the sample but chooses not to participate/cannot be reached AFTER being chose
-Ex. person chosen in a phone survey cannot be contacted after five calls
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Response Bias
When there is a pattern of inaccurate responses due to:
-Question wording
-The interviewer
-Individuals lying
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Observational Study
No treatment imposed, we only observe
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Treatment
What is done to participants (ex. drinks a different kind of coffee)
-Only assignment of treatment needs to be randomized in an EXPERIMENT
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Experiment
Treatments are imposed and they allow for CAUSATION
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Experimental Units
What or who the treatment is imposed upon in an experiment
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Explanatory Variable
Used to predict outcomes, unit the treatment is imposed upon
-If there is more than one __________ we all them "factors" (ex. type of sugar)
-Factors can have "levels" (ex. 1 tsp of sugar vs 1 tbsp of sugar)
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Response Variable
The outcomes of the experiment/observational study
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Confounding Variables
Variables that are not controlled that may affect the outcomes
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Factors + Levels =
Treatments
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Control Group
Used to provide baseline data for comparison
-Often given a placebo
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Single Blind
Test subjects are unaware of waht treatments were assigned
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Double Blind
When neither the test subjects nor the experimenters are aware of what treatment was assigned (ex. because doctors get paid for if their medical trial is a success)
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Placebo Effect
When a fake treatment works
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4 Key Principles of Experiments
1. Comparison (at least two different treatments)
2. Random Assignment (need a chance process of assigning treatments)
3. Control (keep all other variables besides treatments constant, not always a control group)
4. Replication (use enough experimental units to distinguish differences)
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Randomized Block Design
-Separate the experimental units into groups by some similar characteristic (GPA, gender) into blocks
-Then randomly assign treatments within each block
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Block
Each group of experimental units that are known to be similar
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Matched Pairs
An experiment used to compare two treatments that use blocks of two test subjects/experimental units
-Two very similar experimental units are paired and then randomly assigned to treatment
-Form of randomized block design
-Ex. flipping a coin to decide if a person tests a new chair or an old chair first
-One participant is randomly assigned to a treatment and the other half of the pair is automatically sent to the other treatment
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Sampling Variability
-Different samples yield different estimates
-Larger samples provide more accurate estimates
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Margin of error
Creates an interval of plausible values
-Sample estimate does not equal margin of error
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Statistically Significant
-When the results from the study are too unusual to have occurred purely by chance
-If the probability is less than or = to 5% = statistically significant
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Statistical Inference
Decisions from the sample can be attirbuted to the distribution (population) from which the sample was drawn
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