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statistics
the study of procedures for collecting, describing, and drawing conclusions from information
population
the complete collection of objects or individuals that are being studied
sample
a subset of the population
data
the information we collect
parameters
data values that are reflective of the entire population
statistic
a calculation using the data from the sample
descriptive statistics
involves the collection, presentation, and description of the data
inferential statistics
refers to the processes used to take information from the descriptive statistics and interpret that information in a way that allows us to draw conclusions or make decisions
variables
the things of interest that we wish to learn from our sample or the population
qualitative variables (aka categorical variables)
involves categories
ordinal variables
categories that have natural order (ex. A, B, C, …)
nominal variables
report categories that do not have natural order (ex. gender, race, eye color, …)
identifier
a categorical variable with exactly one observation in each category (ex. SSN, KSU ID, …)
quantitative variables
can be measured numerically
discrete variables
quantitative values that can be listed (not decimals)
continuous variables
quantitative variables that have an uncountable number of possible values (decimals)
sampling
process of selecting the sample
simple random sample (SRS)
a sample selected by the method where each combination of experimental units has an equal chance of being selected
convenience sample
a sample is selected by taking the members of the population that are easiest the reach
stratified random sample
a sampling design in which the population is divided into several subpopulations (called strata) and simple random samples are drawn from each stratum
cluster sampling
a sampling design in which entire groups, or clusters, are chosen at random
systematic sampling
a sampling process in which the method for choosing subjects is very systematic