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pseudorandom number
a number generated from a computer or calculator using a program/algorithm
random
an event is random if we know what outcomes could potentially happen, but not exactly which outcomes will happen
response variable
what were measuring in a simulation (or any method of data collection); this is what we record for each trial (based on the give question)
outcome
the result of the most basic event in a simulation
component
the most basic situation/event in a simulation
trial
sequence of components representing events that were pretending will take place
sample survey
method of data collection where we randomly select participants and ask them questions to collect data
simulation
method of data collection that uses random events to model real world scenarios
experiment
method of data collection where people/things are placed into treatment groups and many variables are controlled (only method that allows us to establish cause and effect relationship)
census
sample that consists of the entire population
cluster
sampling method where we separate our population into representative groups, the randomly elect one or more of these groups, and survey every individual in those (selected groups)
response bias
when part of the survey design, and often the wording of a question, influences response
srs
sampling method that is equivalent to pulling names out of a hat; each individual and each sample is equally likely to be chosen
bias
this is when a particular group is over or underrepresented in sample that has been collected
sample
group of individuals who are actually surveyed
voluntary response sample
sampling method where we give people the opportunity to respond, such as an online poll
population
the "whole group" of individuals that we are trying to generalize to
non-response bias
when some/many individuals do not respond and many have a different opinion
population parameter
number we are trying to estimate based on our sample data
stratified
sampling method where we separate our population into homogenous groups (based on some similar characteristic), then we randomly sample some individuals from each group
voluntary response bias
when those with the strongest opinions are more likely to respond and are overrepresented
undercoverage
when part of the population is left out due to our sampling method
sampling variability
the idea that we know statistics will vary from sample to sample
sampling frame
group of all individuals who could have been sampled
multistage
type of sampling where we combine 2 or more sampling methods
systematic sample
when we sample every nth person on a list, starting from a random place on the list
statistic
number that is calculated from and summarizes a sample of data
convenience
sampling method where we sample the people/things that are easiest for us to sample
observational study
study based on data in which no manipulation of factors has been employed
retrospective study
observational study in which subjects are selected and then their previous conditions or behaviors are determined. because retrospective studies are not based on random samples, they usually focus on estimating differences between groups or associations between variables
prospective study
an observational study in which subjects are followed to observe future outcomes.
experiment
manipulates factor levels to create treatments, randomly assigns subjects to these treatment levels, and then compares the responses of the subject groups across treatment levels
random assignment
to be valid, an experiment must assign experimental units to treatment groups at random. this is called random assignment.
factor
variable whose levels are controlled by the experimenter. experiments attempt to discoed the effects that differences in factor levels may have on the responses of the experimental units
response
a variable whose values are compared across different treatments. in a randomized experiment, large response differences can be attributed to the effect of differences in treatment level
experimental units
individuals on whom an experiment is performed. usually called subjects or participants when they are human
level
specific values that the experimenter chooses for a factor are called the levels of the factor
treatment
the process, intervention, or other controlled circumstance applied to randomly assigned experimental units. treatments are the different levels of a single factor or are made up of combinations of levels of two or more factors
principles of experimental designs
control, randomize, replicate, block
statistically significant
when an observed difference is too large for us to believe that it is likely to have occurred naturally, we consider the difference to be statistically significant. Subsequent chapters will show specific calculations and give rues, but the principle remains the same
control group
the dealt treatment which is del understood, jul, placebo treatment. the response provides a basis for comparison
blinding
any individual associated with an experiment who is not aware of how subjects have been allocated to treatments groups is said to be blind
placebo
treatment known to have no effect
placebo effect
the tendency of many human subjects to show a response even when administered a placebo
block
when groups of experimental units are similar, it is good to gather them into blocks.
matching
subjects who are similar i ways not under study may be matched and then compared with each other on the variables of interest. Like blocking, it reduces unwanted variation
designs
in a randomized block design, the randomization occurs only within block. In a completely randomized design, all experimental units have an equal chance of receiving any treatment
confounding
when the levels of one factor are associated with the levels of another factor so their effects cannot be separated