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🔎AP Statistics Unit 3 Vocabulary

67 essential vocabulary terms and definitions for Unit 3 – Collecting Data

Study Unit 3
Practice Vocabulary
🔎Unit 3 – Collecting Data
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🔎Unit 3 – Collecting Data

3.1 Introducing Statistics

TermDefinition
chanceRandomness or probability-based selection used in data collection to reduce bias and ensure representativeness.
data collection methodsThe procedures and techniques used to gather information or data from a population or sample.

3.2 Introduction to Planning a Study

TermDefinition
causal relationshipsA relationship between variables where one variable directly causes changes in another variable.
experimentA study in which different conditions or treatments are assigned to experimental units to investigate cause-and-effect relationships.
experimental unitThe participants or subjects to which treatments are assigned in an experiment.
generalizationsConclusions or statements about a larger population based on data from a sample.
observational studyA study in which treatments are not imposed; investigators examine data from a sample to investigate a topic of interest about the population.
populationThe entire group of individuals or items from which a sample is drawn and about which conclusions are to be made.
prospectiveAn observational study approach where investigators follow a sample of individuals into the future, collecting data over time.
randomly selectedA sampling method where every member of the population has an equal chance of being chosen.
representative sampleA sample that accurately reflects the characteristics and composition of the population from which it was drawn.
retrospectiveAn observational study approach where investigators examine data from a sample of individuals based on past information.
sampleA subset of individuals or items selected from a population for the purpose of data collection and analysis.
sample surveyA type of observational study that collects data from a sample to learn about the population from which the sample was taken.
treatmentDifferent conditions assigned to experimental units in an experiment.
variableA characteristic that changes from one individual to another in a set of data.

3.3 Random Sampling and Data Collection

TermDefinition
censusA data collection method that selects all items or subjects in a population.
clusterConcentrations of data usually separated by gaps in a distribution.
cluster sampleA sampling method in which a population is divided into smaller groups called clusters, and a simple random sample of clusters is selected, with data collected from all observations in the selected clusters.
populationThe entire group of individuals or items from which a sample is drawn and about which conclusions are to be made.
random number generatorA tool or method used to randomly select items from a population for inclusion in a simple random sample.
sampleA subset of individuals or items selected from a population for the purpose of data collection and analysis.
sampling methodA specific procedure or technique used to select a subset of individuals from a population for data collection and analysis.
sampling with replacementA sampling method in which an item selected from a population can be selected again in subsequent draws.
sampling without replacementA sampling method in which an item selected from a population cannot be selected again in subsequent draws.
strataSeparate groups within a population created by dividing it based on shared attributes or characteristics for stratified sampling.
stratified random sampleA sampling method in which a population is divided into separate groups called strata based on shared characteristics, and a simple random sample is selected from each stratum.
systematic random sampleA sampling method in which sample members are selected from a population according to a random starting point and a fixed, periodic interval.

3.4 Potential Problems with Sampling

TermDefinition
biasA systematic tendency for certain responses to be favored over others in a sample, resulting in a sample that does not accurately represent the population.
convenience samplingA non-random sampling method where individuals are selected based on their accessibility or ease of inclusion, introducing potential bias.
non-random samplingSampling methods that do not use chance to select individuals from the population, introducing potential for bias.
nonresponse biasBias that occurs when individuals chosen for the sample cannot provide data or refuse to respond, and these individuals differ from those who do respond.
question wording biasA type of response bias caused by confusing or leading questions in a survey or data collection instrument.
response biasBias that results from problems in the data gathering instrument or process, such as confusing or leading questions.
self-reported responsesData collected directly from individuals about their own characteristics, behaviors, or opinions, which may introduce response bias.
undercoverage biasBias that occurs when part of the population has a reduced chance of being included in the sample, resulting in an unrepresentative sample.
voluntary response biasBias that occurs when a sample is comprised entirely of volunteers or people who choose to participate, making the sample unrepresentative of the population.

3.5 Introduction to Experimental Design

TermDefinition
blockingA technique that groups experimental units into blocks where units within each block are similar with respect to at least one blocking variable.
blocking variableA variable used to group experimental units into blocks so that natural variability can be separated from differences due to that variable.
completely randomized designAn experimental design where treatments are assigned to experimental units completely at random to balance the effects of confounding variables.
confounding variableA variable that is related to the explanatory variable and influences the response variable, potentially creating a false perception of association between them.
control groupA group in an experiment that receives no treatment or a standard/baseline treatment, used as a reference for comparison.
double-blind experimentAn experiment where neither the subjects nor the members of the research team who interact with them know which treatment a subject is receiving.
experimental unitThe participants or subjects to which treatments are assigned in an experiment.
explanatory variableA variable whose values are used to explain or predict corresponding values for the response variable.
factorAn explanatory variable in an experiment whose levels are manipulated intentionally.
matched pairs designA special case of a randomized block design where subjects are arranged in pairs matched on relevant factors, and each pair receives both treatments.
participantHuman subjects or individuals who are assigned treatments in an experiment.
placeboAn inactive substance given to a control group to determine if a treatment of interest has an effect.
placebo effectA response to a placebo that occurs when experimental units react to receiving a treatment, even though the treatment is inactive.
random assignmentThe process of randomly allocating experimental units to different treatment groups to ensure unbiased distribution and reduce bias.
randomized complete block designAn experimental design where treatments are assigned completely at random within each block to control for a blocking variable.
replicationThe use of multiple experimental units in each treatment group to increase reliability and reduce the effect of random variation.
response variableA variable whose values are being explained or predicted based on the explanatory variable.
single-blind experimentAn experiment where subjects do not know which treatment they are receiving, but members of the research team do, or vice versa.
treatmentDifferent conditions assigned to experimental units in an experiment.
treatment groupsDistinct groups in an experiment that receive different treatments or conditions being compared.

3.6 Selecting an Experimental Design

TermDefinition
experimental designA structured plan for conducting an experiment that specifies how treatments will be assigned to experimental units and how data will be collected.
experimental unitThe participants or subjects to which treatments are assigned in an experiment.

3.7 Inference and Experiments

TermDefinition
experimental unitThe participants or subjects to which treatments are assigned in an experiment.
generalizeThe process of extending conclusions from an experiment conducted on a sample to a larger population.
random assignmentThe process of randomly allocating experimental units to different treatment groups to ensure unbiased distribution and reduce bias.
random samplingA method of selecting samples from a population where each member has an equal chance of being chosen, ensuring the sample is representative of the population.
representativeA characteristic of a sample that accurately reflects the key features and distribution of the larger population from which it was drawn.
statistical inferenceThe process of drawing conclusions about a population based on data collected from a sample.
statistically significantA result indicating that an observed difference is large enough that it is unlikely to have occurred by chance alone.
treatmentDifferent conditions assigned to experimental units in an experiment.