STATS: Modeling the World, Chapter 13:Experimental and Observational Studies : Terms and Formulas

Observational Study

Study based on data in which no manipulation of factors has been employed

Retrospective Study

Observational study where subjects are selected and then previous conditions/behaviors are determined; need not be based on random samples and normally focus on estimating differences between groups/associations between variables

Prospective study

An observational study where subjects are followed to observe future outcomes; not an experiment due to lack of treatment, normally focuses on estimating differences among groups that can appear as groups are followed during study

Experiment

Manipulating factor levels to create treatments, randomly assigning subjects to these treatment levels, and then comparing the responses of subject groups across treatment levels

Random Assignment

To be valid, an experiment must assign experimental units to treatment groups at random

Factor

Variable whose levels are manipulated by experimenter

Response

A variable whose levels are compared across different treatments

Experimental Units

Individuals (subjects/participants when human) on whom and experiment is performed

Level

Specific values that experimenter chooses for a factor

Treatment

Process, intervention, or other controlled circumstance applied to randomly assigned experimental units

Principles of experimental design

Control, randomize, replicate, block

Control

This is done on aspects of the experiment that are known to have an effect on the response but aren't factors being studied

Randomize

This is done on subjects to treatments to even out uncontrollable effects

Replicate

If subjects of experiment aren't a representative sample from the population of interest, do this with a different group, preferably with a different population

Block

Do this to reduce effects of identifiable attributes of the subjects that cannot be controlled

Statistically Significant

When observed difference is too large to believe and may not have occurred naturally

Control group

Experimental units assigned to a baseline treatment level, normally the well-understood default treatment, or the placebo treatment.

Blinding

Any individual associated with an experiment who does not know how subjects were chosen is considered one.

Single-blind

When every individual in either of these cases (those who can influence results such as a subject, and those who can evaluate results such as a judge) is blinded

Double-blind

When every individual in both of these cases (those who can influence results such as a subject, and those who can evaluate results such as a judge) is blinded

Placebo

Treatment known to have no effect, administered so all groups experience the same conditions

Placebo Effect

Tendency of many human subjects to show a response even when administered a placebo (often 20% or more of subjects)

Blocking

When groups of experimental units are similar, it is often a good idea to gather them into what can isolate the variability attributable to the differences to see the treatment differences

Matching

In a retrospective/prospective study, subjects who are similar in ways not under study may have this done and be compared with each other on variables of interest

Designs

Either completely randomized or a randomized block

Completely Randomized Design

All experimental units have an equal chance of getting treatment

Randomized Block Design

Randomization occurs only within blocks

Confounding

When the levels of one factor are associated with the levels of another factor