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statistics glossary
stats terms
107
Mathematics
Graduate
02/01/2017

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Term
Alternative Hypothesis
Definition
Whatever alternative to the null hypothesis is being considered (e.g. null hypothesis)
Term
attrition
Definition
loss of units; in randomized experiments, refers to loss that occurs after random assignment has taken place (aka mortality)
Term
Balanced Sample
Definition
A purposive sample whose mean on a characteristic matches the population mean for that characteristic
Term
Between participants design
Definition
Different units are studied in different conditions
Term
Bias
Definition
Systematic error in an estimate or an interference
Term
Blocking
Definition
The process of dividing units into groups with similar scores on a blocking variable, each group having the same number of units as the number of conditions
Term
Carryover effects
Definition
The effects of one treatment do not end prior to the administration of a second treatment. so that the effects observed in teh second treatment include residual effects from the first
Term
Case control study
Definition
A study tht contrasts units with an outcome of interest to those without the outcome to identify retrospectively the predictors or causes of the outcome (aka case-referent study)
Term
Causal Description
Definition
Identifying that a causal relationship exists between A and B
Term
Causal Explanation
Definition
Explaining how A causes B
Term
Causal Generalization
Definition
Inferences that describe how well a causal relationship extends across or beyond the condtions that were studied
Term
Causal Model
Definition
A model of causal relationships, usually with mediators; sometimes refers to efforts to identify causes and effects in nonexperimental studies
Term
Cause
Definition
A variable that produces an effect or result
Term
Ceiling Effect
Definition
Responses on a vraible closely approach the maximum possible response so that further increases are difficult to obtain
Term
Comparison Group
Definition
In an experiment, a group that is compared with a treatment group and that may receive either an alternate intervention or no intervention
Term
Compound Path
Definition
A path consisting of two or more direct paths connected together
Term
Confirmation
Definition
The strategy of showing that a hypothesis is correct or is supported by evidence
Term
Confound
Definition
An extraneous variable that covaries with teh variable of interest
Term
construct
Definition
a concept, model or schematic idea
Term
construct validity
Definition
the degree to which inferences are warranted from the observed persons, settings, and cause and effect operations sampled with a study to constructs that these samples represent
Term
Correlation
Definition
A measure of the strength of relationship between two variables
Term
Correlational Study
Definition
A study that observes relationships between variables
Term
Counterbalancing
Definition
In within-participants designs, arranging the order of condistions to vary over units so that some units are given Treatment A first but others are given Treatment B first
Term
Crossed Designs
Definition
Designs in which all units are exposed to all conditions
Term
Dependent Variable
Definition
Often synonynous with effect or outcome, a variable with a value that varies in response to teh independent variable
Term
Design Element
Definition
Something an experimenter can manipulate or control in an experiment to help address a threat to validity
Term
Discriminant Validity
Definition
The notion that a measure of A can be discriminated from a measure of B, when B is thought to be different from A; discriminat validity correlations hould be lower than convergent valdity correlations
Term
Dismantling study
Definition
a study that breaks down a treatment into its componet parts to test teh effectiveness of the parts
Term
Double-Blind Study
Definition
An experiemtn in whcih both teh treatment provider and treatment recipient are unaware of which treatment or control conditions is being administered, primarily used in medical clinical trials
Term
Effect Size
Definition
A measure of the magnitude of a relationship, specific instances of which include the standardized mean difference statistic, the odds ration, teh correlation coedfficient, the rate difference and the rate ratio
Term
Effectiveness
Definition
How well an intervention works when it is implemented under conditions of actual application
Term
Efficacy
Definition
How well an intervention works when implemented under ideal conditions
Term
Endogenous Variable
Definition
A variable that is caused by otehr variables within the model
Term
Exogenous variable
Definition
a varaible that is not casued by otehr varibales in teh model
Term
Expectation
Definition
the mean of a statistic based on repeated samplings
Term
Experiment
Definition
To explore the effects of manipulating a variable
Term
external validity
Definition
the validity of inferences about whether the causal relationship hold over variations in persons, settings, treatment variables, and measurement variables
Term
Falsification
Definition
To show that data are inconsistent with a theory of hypothesis
Term
Fatigue effects
Definition
Participants tire over time, causing performance to deteriorate in later conditions or later assessments
Term
Fidelity
Definition
The capacity of a method to provide precise answers about a narrow questions, often at the cost of high bandwidth
Term
File Drawer
Definition
The hypothesis that studies that were rejected because of reviewer prejudice against null findings are never published and so remain unavailable to future literature reviews, resulting in a systematic bias in teh results of the review
Term
Floor effect
Definition
Response on a variable approach the minimum possible score so that further decreases are difficult to obtain
Term
Functional Form
Definition
The characteristics of the true relationship among variables, represented graphically bu teh shape of the relationship and represented statistcally by a model taht may includ enonlinear terms or other transformation
Term
Hidden bias
Definition
Unobserved variables that may cause bias in treatment effect estimates
Term
Implementation
Definition
The activities, both intended and unintended, that did and did not occur as part of the treatment conditions
Term
Independent Variable
Definition
Often synonymous with cause or treatment, a variable that purports to be independent of otehr influences. Some authors advocate a more limited usage whereby a variable is independent only if the mehtodology isolates teh variable from otehr influences
Term
Indirect path
Definition
A path between two varaibles that requires going through a third variable to make the connection
Term
Informed Consent
Definition
The process of giving research participants the information they need to make an informed choice about whether participate in a study given its risks and benefits
Term
Instrumental Variable
Definition
A variable or set of variables(or more generally an estimateation technique) that is correlated with outcome only through an effect on other variables
Term
Intent-to-treat analysis
Definition
An analysis of a randomized experiment in whcih units are analyzed in the condition to which tehy were assigned, regardless of whether they actually recieved the treatment in that condition
Term
Interaction
Definition
In experiments, when the effects of treatment vary over levels of another variable
Term
Internal validity
Definition
The validity of inferences about whether the relationship between two varaibles in causal
Term
Latent Variable
Definition
A variable that is not directly observed but is inferred or estimated from observed variables
Term
Matching
Definition
Sometimes synonymoous with blocking, sometimes more specific to imply blocks in which units are exactly equal (rather than just similar) on matching variable
Term
Measurement Attrition
Definition
Failure to obtain measures on units (whether or no they are treated)
Term
Mediator
Definition
A third variable that comes between a casue and effect and that transmits the causal influence from the cause to the effect
Term
Meta-Analysis
Definition
A set of quantitative methods for synthesizing research studies on the same topic (research synthesis)
Term
Moderator
Definition
In an experiment, a variable that influences the effects of treatment
Term
Natural Experiment
Definition
Investigates the effects of a naturally occurring event, sometimes limited to events that are not mainpulable, such as earthquakes, and sometimes used more generally
Term
Nested Designs
Definition
Designs in which units are exposed to some but not all conditions
Term
Nesting
Definition
When some units are grouped together into aggregate units, units are said to be nested within aggregates
Term
Nonequivalent dependent variable
Definition
A dependent variable that is predicted not to change because of the treamtne byt is expected to respond to some or all of the contextually important internal validit threats in teh same way as the target outcome
Term
Nonexperimental Study
Definition
Any study that is not an experiment
Term
Nonrecursive model
Definition
In teh structural equation modeling literature, a mdoel that allows recirpocal causation, although some literatures use the term differently
Term
Null hypothesis
Definition
The hypothesis being tested, traditionally that there is no relationship between variables
Term
Null Hypothesis Significant Testing
Definition
The practice of testing the hypothesis that there is no effect and then declaring that an effect exists only if p <.05
Term
Observational Study
Definition
A study in which variables are observed rather than manipulated; used in some literatures to include quasi-experiments
Term
Observed variable
Definition
a variable that is directly measured in a study
Term
omitted variables
Definition
variables that are not in a model or an alaysis that influence both the cause and the effect and so may cause bias
Term
Operationalization
Definition
usually synonymous with operations but sometimes used in a restricted sense to imply the methods used to present a construct
Term
operations
Definition
the actions actually doen in a study to present units, treatments, observations, settings and times
Term
order effects
Definition
The outcome of a study is affected by the order in which the treatments were presented
Term
participant observation
Definition
a form of observation inwhich the researcher takes on an established participant role in the contest being studied
Term
path coefficient
Definition
a measure of the strength of relationship between two variables connected by a direct path
Term
pattern matching
Definition
the general concept of matching a pattern of evidence to pattern predicted by theory or past research
Term
Placebo
Definition
An intervention that does not include the presumed active ingredients of treatment
Term
power
Definition
the probability of correctly rejecting a false null hypothesis; in an experiment, usually interpreted as the probability of finding an effect when an effect exists
Term
Practice effects
Definition
Participants become better at something the more often tehy do it, a potential problem in within-participants designs in which repeated tests are given to the same participants
Term
Quasi-experiment
Definition
An experiment, any procedure for assigning units to conditions based on chance, with every unit having a nonzero probability of being assigned to each condition
Term
Random Assignment
Definition
In an experiment, any procedure for assigning units to condtions based on chance, with every unit having a nonzero probability of being assigned to each condition
Term
Random Sampling
Definition
Any procedure for selecting a sample of units from alarger group based on chance, frequently used in survey research to facilitate generalization from sample to population
Term
Random Selection
Definition
More general term that is sometimes used synonymously with eitehr random sampling or random assignment in different contexts
Term
Randomized Experiment
Definition
experiment in which units are randomly assigned to conditions
Term
Reliability
Definition
Consistency
Term
Secondary Analysis
Definition
Reanalysis of prmary study data after the study is completed usually donen by someone other than the original aurthors
Term
Selection
Definition
The process by which units are assigned to conditions/ a threat to internal validity in which systemataic differences over conditions in repondent characteristics could also causes the observed effect
Term
Selection bias
Definition
When selection results in dfferences in unit characteristics between conditions that ma be related to outcome differences
Term
Self selection
Definition
when units decide the condition they will enter
Term
simple random assignment
Definition
random assignment with equal probability of assignment to each condition without use of ancillary methods such as blocking, matching or stratification
Term
single case designs
Definition
a time series done on one person, common in clinical research
Term
Statistical conclusion validity
Definition
the validity of inferences about the covariation between two variables
Term
stratifying
Definition
the process of creating homogeneous groups of units in which each group has more units than there are experimental conditions
Term
testing effects
Definition
effects due to repated testing of participants over time
Term
threats to validity
Definition
reasons why an inference might be incorrect
Term
treatment adherence
Definition
whether the participant uses the treatment as instructed
Term
treatment attrition
Definition
failure of units to receive treatment
Term
Treatment Delivery
Definition
Whether the treatment is provided by the experimenter to the participant
Term
treatment group
Definition
in an experiment, the group that receives the intervention of interest
Term
treatment receipt
Definition
whether the participant actually receives the treatment that was provided
Term
type 1 error
Definition
incorrectly rejecting the null hypothesis/ concluding there is an effect when really there isn't
Term
type II error
Definition
failing to reject a false null hypothesis/ concluding there isn't an effect when there is one
Term
unit
Definition
an opportunity to apply or withhold treatment
Term
unit of analysis problem
Definition
units are nested within aggregates in a way that may violate the independence assumption of many statistics
Term
validity
Definition
the truth of, correctness of or degree of support for an inference
Term
within participants design
Definition
the same units are studied in different conditions
Term
Convergent Validity
Definition
degree to which two measures of constructs that theoretically should be related, are in fact related
Term
sampling error
Definition
error in a statistical analysis arising from the unrepresentativeness of the sample taken.
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