Glossary
Every defined term in this course, A–Z.
arithmetic mean
Read the section →The sum of observations divided by how many there are.
census
Read the section →An attempt to measure every member of a population.
cluster sample
Read the section →A sample drawn by randomly selecting a few whole groups and including every unit inside them.
confidence interval
Read the section →A range of plausible values for an unknown population parameter, built from sample data.
confounding variable
Read the section →An outside variable linked to both the cause and the effect being studied, which can make an unrelated pair look connected.
continuous variable
Read the section →A variable that can, in principle, take any value in an interval.
convenience sample
Read the section →A sample of whichever units are easiest to reach, with no randomness.
correlation
Read the section →How strongly and in what direction two quantitative variables move together.
correlation coefficient
Read the section →A single number, between -1 and 1, summarizing the strength and direction of a linear relationship.
data matrix
Read the section →The rectangular arrangement of a dataset -- one row per observation, one column per variable.
descriptive statistics
Read the section →Summarizing and organizing the data actually collected, with no claim beyond it.
deterministic question
Read the section →A question with one correct answer fixed by known inputs, with no variability to account for.
deviation
Read the section →How far a single value sits from the mean, computed as the value minus the mean.
discrete variable
Read the section →A variable that can only take specific, separated values, with nothing possible between two consecutive ones.
distribution
Read the section →The pattern of how often each value or range of values occurs in a dataset or random variable.
event
Read the section →A subset of the sample space -- a described collection of outcomes.
expected value
Read the section →The long-run average value of a random variable, weighted by probability.
experiment
Read the section →A study that deliberately assigns subjects to treatments and observes the outcome.
histogram
Read the section →A bar chart of a quantitative variable where bar heights show how many values fall in each interval.
hypothesis
Read the section →A claim about a population parameter that a statistical test is built to weigh evidence against.
independent
Read the section →One event or draw gives no information about another -- knowing one outcome doesn't change the odds of the other.
inferential statistics
Read the section →Using a sample's statistics to draw a conclusion about the population, with acknowledged uncertainty.
interval level
Read the section →A level of measurement with equal numeric gaps, but an arbitrary zero.
median
Read the section →The middle value of ordered data -- half the values fall above it, half below.
mode
Read the section →The most frequently occurring value in a dataset.
nominal level
Read the section →A level of measurement with categories and no order at all.
nonresponse bias
Read the section →Bias from selected units failing to respond, when responders differ systematically from non-responders.
observation
Read the section →One row of a data matrix -- one unit the data was collected about.
observational study
Read the section →A study that records variables as they naturally occur, with no intervention.
ordinal level
Read the section →A level of measurement with ordered categories but unequal or unknown gaps.
outlier
Read the section →A value far enough from the rest of the data that it stands apart.
parameter
Read the section →A fixed number describing a population, usually unknown.
percentage
Read the section →A proportion scaled to a base of 100.
percentage point
Read the section →The plain-subtraction difference between two percentages, distinct from percent change.
percentile
Read the section →The value below which a given percentage of the data falls.
population
Read the section →The entire group a statistical question is actually about.
predictor
Read the section →A variable used to predict or explain another variable in a regression model.
probability
Read the section →A number between 0 and 1 describing how likely an event is, in the long run.
proportion
Read the section →A part-to-whole ratio.
qualitative variable
Read the section →A variable recording a category or label, not a meaningful quantity.
quantitative variable
Read the section →A variable recording a numeric quantity that arithmetic applies to meaningfully.
quartile
Read the section →One of the three values that split ordered data into four equal-sized groups.
random variable
Read the section →A number assigned to the outcome of a random process.
range
Read the section →The largest value minus the smallest value in a dataset.
rate
Read the section →A ratio comparing two different kinds of quantities, not a part to its own whole.
ratio level
Read the section →A level of measurement with equal numeric gaps and a true zero.
residual
Read the section →The gap between an observed value and the value a model predicted for it.
response bias
Read the section →Bias from responders answering inaccurately, often due to leading question wording.
sample
Read the section →The subset of a population actually observed.
sample space
Read the section →The set of every possible outcome of a random process.
sampling bias
Read the section →A systematic tendency for a sampling method to favor some population members over others.
simple random sample
Read the section →A sample drawn so every possible group of that size has an equal chance of selection.
skewed
Read the section →A distribution with a longer tail on one side, pulling the mean away from the median.
standard deviation
Read the section →The square root of the variance, a measure of spread in the same units as the data.
statistic
Read the section →A number computed from a sample; it changes if a different sample is drawn.
stratified sample
Read the section →A sample drawn by taking a separate SRS from within every stratum of the population.
systematic sample
Read the section →A sample drawn by taking every k-th unit after one random starting point.
undercoverage
Read the section →When part of a population has little or no chance of being selected because the sampling frame never included it.
variability
Read the section →How much individual values in a group differ from each other, rather than all matching a single number.
variable
Read the section →One column of a data matrix -- one fact recorded about every observation.
variance
Read the section →The average of the squared deviations from the mean, a measure of spread.
voluntary response sample
Read the section →A sample where units opt themselves in, like an online poll.
weighted mean
Read the section →A mean where some observations count more than others.