What is a population?
An entire group of individuals or objects that you want to study
Populations can vary in size and characteristics depending on the research focus.
What is a sample?
A smaller, more manageable group selected from the population to represent the larger group
Samples are essential for conducting research when studying an entire population is impractical.
Define parameter.
A numerical value describing an entire population’s characteristics
Parameters are often unknown and must be estimated using statistics from samples.
What is a statistic?
A numerical value that describes a characteristic of a sample
Statistics are used to infer about the population parameters.
What are individuals in the context of data?
Persons or objects described by a set of data
Individuals can include anything from people to items in a study.
What are variables?
Characteristics or measurements that we are interested in studying
Variables can vary between individuals or over time.
Define quantitative variables.
Numerical measurements, such as age, height, weight, or income
Quantitative variables can be discrete or continuous.
What are categorical variables?
Categories or labels, such as hair color, occupation, or favorite type of food
Categorical variables can be nominal or ordinal.
What is data?
Actual values of the variables (raw information) that we collect and analyze to gain insights into the phenomenon we are studying
Data can be qualitative or quantitative.
What is random sampling?
Process that allows researchers to choose a random set of individuals from a population
Random sampling helps to avoid bias in research.
Define simple random sample.
Sample chosen from a population from which each possible subset of the same size has an equal probability of being chosen
This method ensures that every individual has an equal chance of selection.
What is stratified sampling?
Method of random sampling that involves dividing the population into distinct subgroups called strata, based on specific characteristics such as age, gender, or socioeconomic status
Stratified sampling ensures representation across key characteristics.
Define cluster sampling.
Method of random sampling that involves dividing the population into clusters, which are naturally occurring groups like schools, neighborhoods, or cities
Clusters are then randomly selected for study.
What is systematic sampling?
Method of random sampling that involves selecting every nth individual from a list of the population, starting from a randomly chosen point
Systematic sampling can be easier to implement than simple random sampling.
Define explanatory variable.
Variable that a researcher manipulates or observes changes in to explain or predict the results
Explanatory variables are also known as independent variables.
What is a response variable?
Variable that represents the outcome the researcher is interested in explaining or predicting
Response variables are also known as dependent variables.
What is an observational study?
When researchers observe and record data on variables as they naturally occur, without any intervention or manipulation
These studies can show correlations but not causation.
Define sample survey.
Specific type of observational study where individuals self-report the values of variables, often by providing their opinions or answering questions
Surveys can be affected by response bias.
What is an experiment?
When researchers intentionally manipulate one or more variables (the explanatory variables) to observe their effect on another variable (the response variable)
Experiments are designed to establish cause-and-effect relationships.
What are treatments in an experiment?
Different values of the explanatory variable
Treatments are applied to experimental units to observe effects.
Define experimental unit.
A single object or individual being measured
The experimental unit is the smallest entity to which a treatment is applied.
What is randomization in research?
When objects or individuals are randomly assigned (by chance) to an experimental group
Randomization helps to eliminate bias and ensures comparability.
Define replication in research.
When the experiment is repeated with a sufficiently large sample size, or reproducing the entire study to confirm previous findings
Replication enhances the reliability of research results.
What is a control group?
Group of participants in an experiment who do not receive the experimental treatment
Control groups are essential for comparison against treatment groups.