Foundations
Population, sample, parameter, statistic, descriptive statistics, and inference.
Review introductory statistics terms, data types, measurement levels, sampling methods, study designs, descriptive statistics, and inference concepts with cleaned definitions and quick practice questions.
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The science of collecting, organizing, analyzing, and interpreting data to estimate values, answer questions, and make informed conclusions.
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These cards are designed for introductory statistics review before you move into hypothesis testing, regression, ANOVA, SPSS, R, Excel, or Stata assignments.
Population, sample, parameter, statistic, descriptive statistics, and inference.
Variables, data types, nominal, ordinal, interval, ratio, and common examples.
Random, systematic, stratified, cluster, convenience, experiments, and blocking.
Mean, median, mode, range, IQR, outlier fences, and z-scores.
Sampling distributions, standard error, confidence intervals, alpha, and p-values.
Common symbols such as population mean, sample mean, standard deviation, and p-value.
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The science of collecting, organizing, analyzing, and interpreting data to estimate values, answer questions, and make informed conclusions.
The complete group of individuals, objects, or observations that share the characteristic being studied.
A subset of the population selected for study.
A numerical characteristic that describes an entire population.
A numerical characteristic that describes a sample.
Methods used to collect, organize, summarize, and present data with tables, charts, and numerical measures.
Methods used to draw conclusions about a population from information collected in a sample.
Observed values collected from individuals, objects, or events. The characteristics being observed are variables.
A characteristic or attribute that can take different values, such as age, height, major, income, or gender.
A variable that describes categories or labels rather than numerical amounts, such as eye color or favorite movie.
A variable that takes numerical values, such as height, weight, income, time, or number of siblings.
A quantitative variable with a finite or countable set of possible values, usually obtained by counting.
A quantitative variable that can take infinitely many values within an interval, usually obtained by measurement.
The four common measurement levels are nominal, ordinal, interval, and ratio.
Data values are labels or categories with no meaningful order, such as hair color or blood type.
Data values have a meaningful order, but the differences between positions are not measured consistently.
Quantitative data with meaningful order and differences, but no true zero point, so ratios are not meaningful.
Quantitative data with meaningful order, differences, and ratios because the scale has a true zero point.
A sampling method that uses chance so members of the population have a known chance of being selected.
A sampling method that selects every kth member from an ordered list after a starting point is chosen.
A sampling method that divides the population into strata, then samples from each stratum.
A sampling method that divides the population into clusters, randomly selects clusters, and studies all or some members in those clusters.
A sampling method that selects individuals because they are easy to access, which can create bias.
A study in which researchers observe or measure variables without deliberately applying a treatment.
A study in which a treatment is deliberately applied to experimental units to observe its effect on a response.
The condition, intervention, or factor level applied to experimental units in an experiment.
The outcome measured or observed in a study or experiment.
The person, animal, object, or item that receives a treatment in an experiment.
An experimental design in which treatments are assigned to experimental units completely at random.
An experimental design in which similar units are grouped into blocks before treatments are randomly assigned within each block.
Data collected directly for the current study or research question.
Data that already exist because they were collected earlier for another purpose.
The distribution of a variable across all members of the population.
The distribution of sample means from all possible samples of the same size from a population.
The standard deviation of the sampling distribution of the sample mean.
A sample statistic used as a single-value estimate of a population parameter.
An interval estimate built from a point estimate, critical value, and standard error to describe uncertainty around a parameter estimate.
A cutoff value from a probability distribution used in confidence intervals and hypothesis tests.
The long-run percentage of confidence intervals that would contain the true parameter if the same method were repeated many times.
The probability threshold, usually called alpha, used to decide when sample evidence is strong enough to reject a null hypothesis.
The significance level in a hypothesis test, commonly written as alpha.
The probability, assuming the null hypothesis is true, of getting a result at least as extreme as the observed result.
The mean of an entire population, commonly represented by the Greek letter mu.
The standard deviation of an entire population, commonly represented by the Greek letter sigma.
The arithmetic average of a sample, commonly represented by x-bar.
A measure of spread in a sample, commonly represented by s or Sx.
The arithmetic average of a dataset.
The middle value of an ordered dataset, or the average of the two middle values when there are an even number of observations.
The most frequently occurring value or category in a dataset.
A measure of spread found by subtracting the minimum value from the maximum value.
A measure of spread found by subtracting the first quartile from the third quartile.
A common rule that flags values below Q1 minus 1.5 times the IQR or above Q3 plus 1.5 times the IQR.
A standardized value showing how many standard deviations an observation is from the mean.
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