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  1. AP Statistics
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Glossary

B

Bias

Criticality: 3

Any systematic error in a study design or data collection that causes the sample results to differ systematically from the true population parameter. It can lead to inaccurate conclusions.

Example:

If a survey about internet usage is only conducted via landline phones, it would introduce bias because it systematically excludes individuals who only use cell phones or have no phone.

C

Census

Criticality: 1

A study that collects data from every individual in the entire population. It aims to gather complete information rather than relying on a sample.

Example:

The U.S. government conducts a census every ten years to count every person living in the country, gathering demographic information from the entire population.

Confounding

Criticality: 3

Occurs when the effects of two or more variables on a response variable cannot be distinguished from each other. It makes it difficult to determine which variable is truly causing an observed effect.

Example:

If a study finds that people who drink more coffee tend to live longer, but also notes that coffee drinkers often exercise more, then exercise could be a confounding variable, making it hard to say if coffee or exercise causes longer life.

E

Experiment

Criticality: 3

A study design where researchers intentionally impose a treatment on individuals to observe their responses. It allows for the establishment of cause-and-effect relationships.

Example:

To test a new pain medication, researchers randomly assign patients to receive either the new drug or a placebo, then compare their pain relief, making this an experiment.

G

Generalizability

Criticality: 2

The extent to which the findings from a study's sample can be accurately applied or extended to the larger population from which the sample was drawn. It depends heavily on the sampling method.

Example:

If a study on a new teaching method was conducted only in private schools, its generalizability to public school students might be limited.

O

Observational Study

Criticality: 3

A study where researchers observe and measure variables of interest without manipulating or imposing any treatments. It aims to describe a group or situation.

Example:

A study tracking the dietary habits and health outcomes of a group of people over several years to see if certain foods are associated with specific diseases is an observational study.

P

Population

Criticality: 3

The entire group of individuals or instances about which we want to gain information. It represents the complete set of data points of interest.

Example:

If a researcher wants to study the average height of all high school students in the United States, then all high school students in the U.S. constitute the population.

Prospective Study

Criticality: 2

A type of observational study that follows individuals forward in time, collecting data as events unfold. It tracks participants to observe future outcomes.

Example:

A long-term study that enrolls healthy individuals and monitors their lifestyle choices and health status over decades to see who develops heart disease is a prospective study.

R

Random Sampling

Criticality: 3

A method of selecting a sample from a population where every individual has an equal chance of being chosen. This technique helps ensure the sample is representative and reduces bias.

Example:

To select students for a school survey, putting all student names into a hat and drawing out 100 names is an example of random sampling.

Retrospective Study

Criticality: 2

A type of observational study that looks back in time to collect data on past events or exposures. It uses existing records or participant recall.

Example:

Researchers reviewing medical records from the last 20 years to identify common factors among patients who developed a rare disease are conducting a retrospective study.

S

Sample

Criticality: 3

A smaller, representative subset of individuals selected from the population. Data is collected from the sample to make inferences about the larger population.

Example:

To estimate the average height of all high school students, a researcher might measure the heights of 500 randomly selected high school students, forming a sample.

Sample Survey

Criticality: 2

A type of observational study that collects data from a sample of individuals, typically through questionnaires or interviews, to gather information about a population's characteristics or opinions.

Example:

A polling organization contacts a random group of 1,500 registered voters to gauge their opinions on an upcoming election, which is a classic sample survey.