SAT Math
Statistical Inference and Study Design flashcards
0/60
60 cards remaining
All 60 cards in this deckShow
- Sample size and biasPopulations, Samples, and Representative Sampling
- More of the wrong sampling method is still the wrong sampling method.
- When should I use population and sample?Populations, Samples, and Representative Sampling
- Distinguish the target group from observed participants.
- What method supports sample size and bias?Populations, Samples, and Representative Sampling
- size reduces random variation, not systematic selection bias
- Representative selectionPopulations, Samples, and Representative Sampling
- Random selection from the right list is more useful than an easy-to-reach crowd.
- Population and samplePopulations, Samples, and Representative Sampling
- Population is everyone you want to know about; sample is whom you observed.
- What must I check in populations, samples, and representative sampling?Populations, Samples, and Representative Sampling
- A large sample does not repair a systematically biased selection method
- What method supports representative selection?Populations, Samples, and Representative Sampling
- random sampling supports population generalization
- What method supports population and sample?Populations, Samples, and Representative Sampling
- sample ⊆ target population
- When should I use sample size and bias?Populations, Samples, and Representative Sampling
- Explain why selection method matters even for large samples.
- When should I use representative selection?Populations, Samples, and Representative Sampling
- Choose a method that gives the target group a fair opportunity for inclusion.
- Rescale an estimated proportionEstimating Population Counts, Means, and Proportions
- Scale only when the new group matches the population you sampled.
- When should I use estimate a population count?Estimating Population Counts, Means, and Proportions
- Scale a sample proportion to a known population size.
- What method supports rescale an estimated proportion?Estimating Population Counts, Means, and Proportions
- estimated affected count=proportion×group size
- Estimate a population totalEstimating Population Counts, Means, and Proportions
- Estimated average times population count gives an estimated total.
- Estimate a population countEstimating Population Counts, Means, and Proportions
- Apply the sample share to the full population.
- What must I check in estimating population counts, means, and proportions?Estimating Population Counts, Means, and Proportions
- Population estimates inherit sample uncertainty; use an appropriate representative sample from the target population
- What method supports estimate a population total?Estimating Population Counts, Means, and Proportions
- estimated total=N·sample mean
- What method supports estimate a population count?Estimating Population Counts, Means, and Proportions
- estimated count=N·x/n
- When should I use rescale an estimated proportion?Estimating Population Counts, Means, and Proportions
- Translate a rate estimate into a comparable group count.
- When should I use estimate a population total?Estimating Population Counts, Means, and Proportions
- Use a sample mean to estimate a total quantity.
- Compare estimates with uncertaintyMargin of Error and Sample Size
- Do not treat two estimated percentages as exact facts.
- When should I use margin-of-error interval?Margin of Error and Sample Size
- Form an interval around a stated estimate.
- What method supports compare estimates with uncertainty?Margin of Error and Sample Size
- compatible interval endpoint = estimate ± reported margin
- Sample size and precisionMargin of Error and Sample Size
- More random observations usually narrow sampling uncertainty.
- Margin-of-error intervalMargin of Error and Sample Size
- Subtract the margin for the low end and add it for the high end.
- What must I check in margin of error and sample size?Margin of Error and Sample Size
- A reported margin of error describes sampling uncertainty under stated conditions, not every source of error or an individual-outcome range
- What method supports sample size and precision?Margin of Error and Sample Size
- rough scaling: margin ∝ 1/√n under comparable conditions
- What method supports margin-of-error interval?Margin of Error and Sample Size
- interval=[estimate−margin, estimate+margin]
- When should I use compare estimates with uncertainty?Margin of Error and Sample Size
- Use reported intervals to judge whether a claimed difference is supported by the supplied information.
- When should I use sample size and precision?Margin of Error and Sample Size
- Identify the effect of a larger random sample under similar conditions.
- Control and comparisonObservational Studies versus Experiments
- A comparison group helps distinguish the treatment from what would happen anyway.
- When should I use observational studies?Observational Studies versus Experiments
- Recognize when researchers measure existing conditions.
- What method supports control and comparison?Observational Studies versus Experiments
- treatment effect is assessed by comparing group outcomes
- ExperimentsObservational Studies versus Experiments
- Researchers choose which condition each participant receives.
- Observational studiesObservational Studies versus Experiments
- Researchers watch what already happens.
- What must I check in observational studies versus experiments?Observational Studies versus Experiments
- Observing existing behavior differs from assigning treatments; causal conclusions depend on study design
- What method supports experiments?Observational Studies versus Experiments
- assigned treatment + randomized groups supports causal comparison
- What method supports observational studies?Observational Studies versus Experiments
- no assigned treatment ⇒ observational design
- When should I use control and comparison?Observational Studies versus Experiments
- Identify a comparison group’s role in an experiment.
- When should I use experiments?Observational Studies versus Experiments
- Recognize assigned explanatory conditions.
- Both design featuresRandom Sampling versus Random Assignment
- Selection and treatment randomization answer different questions together.
- When should I use sampling purpose?Random Sampling versus Random Assignment
- Connect random selection to population inference.
- What method supports both design features?Random Sampling versus Random Assignment
- random sampling + random assignment → potential generalization and causation
- Assignment purposeRandom Sampling versus Random Assignment
- Assignment chooses what happens to each participant.
- Sampling purposeRandom Sampling versus Random Assignment
- Sampling chooses who joins the study.
- What must I check in random sampling versus random assignment?Random Sampling versus Random Assignment
- Random sampling supports generalization; random assignment supports causal treatment comparison; neither substitutes for the other
- What method supports assignment purpose?Random Sampling versus Random Assignment
- random assignment → causal treatment comparison
- What method supports sampling purpose?Random Sampling versus Random Assignment
- random sample → population generalization
- When should I use both design features?Random Sampling versus Random Assignment
- Evaluate a study that uses random sampling and random assignment.
- When should I use assignment purpose?Random Sampling versus Random Assignment
- Connect randomized treatment allocation to causal evidence.
- Bounded conclusionsBias, Generalization, Association, and Causation
- Match both the claim type and its population to the evidence.
- When should I use selection bias?Bias, Generalization, Association, and Causation
- Identify a mismatch between a sample source and target population.
- What method supports bounded conclusions?Bias, Generalization, Association, and Causation
- claim strength ≤ design support
- Confounding and causeBias, Generalization, Association, and Causation
- A third factor can move both variables together.
- Selection biasBias, Generalization, Association, and Causation
- Check who had a real chance to be included.
- What must I check in bias, generalization, association, and causation?Bias, Generalization, Association, and Causation
- Limit conclusions to the target population and design; a strong association alone does not prove cause
- What method supports confounding and cause?Bias, Generalization, Association, and Causation
- an alternative shared cause can explain association
- What method supports selection bias?Bias, Generalization, Association, and Causation
- representative inference requires an appropriate sampling frame
- When should I use bounded conclusions?Bias, Generalization, Association, and Causation
- Choose a conclusion consistent with sampling and treatment design.
- When should I use confounding and cause?Bias, Generalization, Association, and Causation
- Explain how a third factor can produce an observed association.
