z-score (Z)
a measure of how many standards deviations a piece of data is in relation to the mean;
sampling distribution
a type of probability distribution created by drawing many random samples of a given size from the same population
margin of error (E)
the greatest possible distance between the sample mean and the population mean; used to create a confidence interval;
confidence interval (CI)
a range of values that the population mean will be between;
standard error
the measure of how much the sample mean varies from the true population mean; quantifies the precision of the sample mean estimation.
equation for z-score
(x - μ) / σ
equation for confidence interval
X ± Z * (σ/√n)
equation for margin of error
2((x - μ) / σ)
sample
a portion of an entire population
population
a whole audience of participants
parameter
data collected from an entire population; think p and p.
statistic
data collected from an entire sample size; think s and s
stratified sampling
Sampling method where the population is divided into different groups or strata, and a proportionate number of individuals are randomly selected from each stratum for the sample.
cluster sampling
Sampling method where the population is divided into groups (clusters), and a random sample of clusters is selected for data collection.
systematic sampling
Sampling method where every nth item in a population is selected to be included in the sample. Helps ensure equal representation and reduce bias.
self-selected sampling
Voluntary sampling involves individuals choosing to participate in a study, leading to a non-random sample. This can introduce bias and affect the generalizability of findings.
A method of sampling where individuals voluntarily choose to participate in a study or survey, leading to a non-random sample. This can introduce bias as those who choose to participate may differ from those who do not, impacting the generalizability of the findings.
convenience sampling
Nonrandom or convenience sampling is a technique where individuals are chosen based on their accessibility instead of using a random or representative sample. This method may produce biased results as it may not accurately represent the whole population.
equation for standard error
σ/√n