AP®︎ Statistics (pre-2026): Unit 3 Flashcards

Master key terms and definitions for Unit 3 of AP Statistics (pre-2026) – Collecting Data to help you prep for quizzes and the AP exam.


This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

Generalizability

Definition

The extent to which results from a sample can be applied to the population.

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Generalizability
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The extent to which results from a sample can be applied to the population.

VAR-1.E
Convenience Sampling
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Choosing individuals who are easiest to reach rather than selecting by chance.

VAR-1.EVAR-1.E.1
Voluntary Response Sample
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A sample made of people who choose themselves to participate.

VAR-1.EVAR-1.E.1
Self-Selection Bias
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Distortion caused when participants decide for themselves whether to join a study.

VAR-1.EVAR-1.E.1
Population
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All individuals or items of interest in a statistical study.

DAT-2.ADAT-2.A.1
Sample
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A subset of the population from which data are actually collected.

DAT-2.ADAT-2.A.2
Observational Study
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A study that records variables without imposing treatments on individuals.

DAT-2.ADAT-2.A.3
Retrospective vs. Prospective Observational Study
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Retrospective examines existing past data; prospective follows subjects forward while collecting future data.

DAT-2.ADAT-2.A.3
Sample Survey
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An observational study that gathers data from a sample to learn about its population.

DAT-2.ADAT-2.A.3
Treatment
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A specific experimental condition imposed on subjects or experimental units.

DAT-2.ADAT-2.A.4
Experimental Units / Subjects
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The individuals or items to which treatments are assigned in an experiment.

DAT-2.ADAT-2.A.4
Association vs. Causation
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Association is a relationship between variables; causation means changes in one directly produce changes in another.

DAT-2.BDAT-2.B.3
Confounding
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When two variables' effects on a response are mixed so their separate influences cannot be distinguished.

DAT-2.BDAT-2.B.3
Population of Generalization
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The population to which study results may be applied, limited to the population sampled.

DAT-2.BDAT-2.B.2
Representative Sample
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A sample that accurately reflects the important characteristics of the population of interest.

DAT-2.BDAT-2.B.1
Sampling With Replacement vs. Sampling Without Replacement
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With replacement allows repeats; without replacement allows each population member to be chosen only once.

DAT-2.CDAT-2.C.1
Simple Random Sample (SRS)
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A sample where every possible group of a given size has an equal chance.

DAT-2.CDAT-2.C.2
How to Select a Simple Random Sample
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Label all individuals, then use random numbers to choose the required distinct labels.

DAT-2.CDAT-2.C.2
Stratified vs. Cluster Sampling
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Stratified samples some from every homogeneous group; cluster samples all from randomly chosen heterogeneous groups.

DAT-2.C
Systematic Random Sample
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Choose a random starting point, then select every kth individual from the sampling frame.

DAT-2.CDAT-2.C.5
Periodic Interval (k)
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The fixed spacing between selected individuals in a systematic sampling process.

DAT-2.CDAT-2.C.5
Sampling Frame
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The list of individuals or units from which a sample is actually selected.

DAT-2.C
Advantages and Disadvantages of Sampling Methods
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Each method balances representativeness, cost, efficiency, practicality, and possible bias differently.

DAT-2.DDAT-2.D.1
Stratified Random Sample and Strata
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Divides a population into homogeneous groups, then takes an SRS from each group.

DAT-2.CDAT-2.C.3
Cluster Sample and Clusters
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Divides a population into heterogeneous groups, randomly selects groups, then samples everyone in them.

DAT-2.CDAT-2.C.4
Random Sampling
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Using a chance process to choose members of a population for a sample so each population member has a known opportunity to be selected.

DAT-2.C
Census
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A study or data collection method that includes every individual in the population.

DAT-2.CDAT-2.C.6
Undercoverage Bias
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Bias caused when some population members have a smaller chance of being selected.

DAT-2.EDAT-2.E.3
Nonresponse Bias
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Bias caused when selected individuals do not respond and differ from those who do.

DAT-2.EDAT-2.E.4
Response Bias
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Bias caused by flaws in the survey instrument or data collection process.

DAT-2.EDAT-2.E.5
Question Wording Bias
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Bias caused by confusing, leading, or ambiguous wording that influences responses.

DAT-2.EDAT-2.E.5
Nonrandom Sampling Methods and Bias
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Methods without chance selection, such as convenience or voluntary response, often produce unrepresentative samples.

DAT-2.EDAT-2.E.6
Bias
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A systematic tendency for a study or data collection process to favor certain outcomes or responses and miss the truth.

DAT-2.EDAT-2.E.1
Experimental Units / Subjects / Participants
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Individuals or objects assigned to treatments in an experiment; people are called subjects or participants.

VAR-3.AVAR-3.A.1
Explanatory Variable / Factor and Treatments
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The manipulated variable in an experiment; its levels or level combinations are the treatments.

VAR-3.AVAR-3.A.2
Response Variable
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The outcome measured on experimental units after treatments are applied.

VAR-3.AVAR-3.A.3
Confounding Variable
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A variable related to the treatment that also affects the response, obscuring the true effect.

VAR-3.AVAR-3.A.4
Control Group
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Units receiving no treatment of interest or an inactive treatment for baseline comparison.

VAR-3.CVAR-3.C.5
Placebo and Placebo Effect
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An inactive treatment; the resulting response to it is the placebo effect.

VAR-3.CVAR-3.C.6
Single-Blind vs. Double-Blind Experiment
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Single-blind: subjects or evaluators unaware; double-blind: neither subjects nor interacting evaluators aware.

VAR-3.C
Methods of Random Assignment
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Use a random number generator, random digits table, or drawing chips without replacement.

VAR-3.CVAR-3.C.2
Principles of a Well-Designed Experiment
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Uses comparison, random assignment, replication, and control to reduce bias and confounding.

VAR-3.BVAR-3.B.1
Experiment
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A study that imposes treatments on subjects or experimental units to measure resulting responses.

VAR-3.A
Random Assignment Within a Completely Randomized Design
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Label all units, then use a random method to place them into treatment groups.

VAR-3.D
Block / Blocking Variable
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A group of similar units, or the characteristic used to create those similar groups.

VAR-3.D
Use All Blocks
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Every block must receive all treatments so treatment comparisons are made within each block.

VAR-3.D
Choosing Among Experimental Designs
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Choose the simplest appropriate design: randomize if units are similar, block known differences, and match pairs for two treatments.

VAR-3.DVAR-3.D.1
Completely Randomized Design
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An experimental design in which all experimental units are assigned to treatments entirely by chance, without forming groups first.

VAR-3.DVAR-3.D.1
Matched Pairs Design
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A blocked experimental design for two treatments that uses matched pairs of similar units or one subject receiving both treatments.

VAR-3.DVAR-3.D.1
Randomized Block Design
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An experimental design that groups similar units into blocks based on a relevant characteristic, then randomly assigns treatments within each block.

VAR-3.DVAR-3.D.1
Statistical Inference
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Using sample or experimental data to draw conclusions about a population or distribution.

VAR-3.EVAR-3.E.1
Sampling Variability
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Different random samples from the same population produce different statistic values by chance.

VAR-3.E
Sampling Error
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The difference between a sample statistic and the true population parameter.

VAR-3.E
Statistically Significant
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An observed difference so large that random chance alone is unlikely to explain it.

VAR-3.EVAR-3.E.2
Cause and Effect in Experiments
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A causal conclusion is justified when a well-designed experiment uses random assignment.

VAR-3.EVAR-3.E.3
Random Selection vs. Random Assignment
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Random selection supports generalization; random assignment supports cause-and-effect conclusions.

VAR-3.EVAR-3.E.4
Generalizability
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The extent to which study results can reasonably be applied to a larger population, especially when the sample is representative.

VAR-3.EVAR-3.E.4
Random Sample
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A sample chosen by chance so each population member has a known selection probability, increasing the likelihood that the sample is representative of the population.

VAR-3.EVAR-3.E.4
Random Assignment
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Using chance to assign subjects or experimental units to treatment groups in an experiment.

VAR-3.EVAR-3.E.2