Statistics — Page 11
Explore statistical methods, their assumptions, interpretation and limitations.
Research field
Method family
Serious Leisure Inventory and Measure
The Serious Leisure Inventory and Measure (SLIM) is a multidimensional self-report instrument that operationalizes Robert Stebbins's serious leisure perspective for quantitative research. Stebbins defined serious leisure as the systematic p...
Session RPE
Session rate of perceived exertion (sRPE) is a simple, athlete-centered method to quantify training load by combining perceived exertion intensity (RPE, 0-10 scale) with session duration. Introduced by Carl Foster (2001), sRPE avoids the ne...
Short Form Measurement Invariance
Short form measurement invariance testing evaluates whether an abbreviated version of a psychological scale measures the same latent construct equivalently across groups or conditions. It applies the hierarchical multigroup confirmatory fac...
Short form construct validity
Short form construct validity is the systematic evaluation of whether an abbreviated version of a psychological scale still measures the same underlying construct as the original full-length instrument. It combines item selection procedures...
Short form content validity
Short-form content validity evaluates whether items retained in an abbreviated scale still adequately represent every substantive facet of the construct measured by the original full-length instrument. It ensures that shortening a scale doe...
Short form differential item functioning
Short-form differential item functioning (DIF) analysis examines whether individual items in an abbreviated scale function equivalently across demographic or subgroup comparisons. When a scale is shortened, retained items must still behave...
Short form generalizability theory
Short form generalizability theory applies the G-theory variance-component framework to abbreviated measurement instruments, using G-studies and D-studies to estimate how many items a short scale must retain to achieve a desired reliability...
Short form nomological validity
Short form nomological validity examines whether an abbreviated version of a psychological scale preserves the pattern of theoretically expected correlations with conceptually related and unrelated constructs. It is a cornerstone step in ju...
Short-Form Scale Development
Short-form scale development is the systematic process of reducing a full-length psychological scale to a smaller subset of items while preserving the construct validity, reliability, and measurement properties of the original instrument. I...
Short-form McDonald's omega
Short-form McDonald's omega applies the omega reliability coefficient to abbreviated or shortened versions of psychological scales. It provides a theoretically sound reliability estimate that accounts for the multidimensional structure of t...
Short-form item analysis
Short-form item analysis is the systematic psychometric evaluation and selection of items when constructing an abbreviated version of a longer measurement instrument. It applies classical and modern item-analysis criteria — item-total corre...
Short-form reliability analysis
Short-form reliability analysis evaluates whether an abbreviated version of a psychological scale maintains acceptable internal consistency, validity, and structural integrity after items are removed. It is used in survey and assessment res...
Short-form test-retest reliability
Short-form test-retest reliability quantifies how consistently an abbreviated version of a measurement instrument produces the same scores across two administrations separated by a defined time interval. It is a critical validation step whe...
Signal Detection Theory
Signal Detection Theory (SDT) is a framework for analyzing how observers detect signals embedded in noise, accounting for both sensory capacity and decision-making bias. Developed by Green and Swets in the 1960s, it provides a principled me...
Small Area Estimation
Small Area Estimation (SAE) refers to statistical techniques that produce reliable estimates for subpopulations — geographical regions, demographic groups, or administrative units — where direct survey samples are too sparse to yield accept...
Spiritual Transcendence Scale
The Spiritual Transcendence Scale (STS), developed by Ralph Piedmont in 1999, measures spirituality as a broad motivational disposition — the capacity to stand outside one's immediate sense of time and place and view life from a larger, uni...
Sport Commitment Model
The Sport Commitment Model explains why people keep participating in a sport by treating commitment as a psychological state -- the desire and resolve to continue -- that is produced by a small set of measurable determinants. Introduced by...
Sport Service Quality
Sport service quality measurement adapts general service-quality theory to the distinctive features of sport and recreation settings, where the 'service' is an active, participatory experience rather than a simple transaction. Ko and Pastor...
Sport Spectator Identification Scale
The Sport Spectator Identification Scale (SSIS) is a seven-item self-report measure of how strongly a fan psychologically identifies with a particular sports team. Daniel Wann and Nyla Branscombe introduced it in 1993 in the International J...
Standardized Test Analysis
Standardized test analysis is the body of psychometric methods used to evaluate and score standardized educational tests: analyzing how items perform, estimating reliability and the standard error of measurement, scaling scores via classica...
Stop-Signal Reaction Time
The Stop-Signal Reaction Time (SSRT) task is a behavioral measure of response inhibition and executive control. Participants make rapid responses to go signals but must cancel responses when an occasional stop signal appears. By analyzing h...
Stroop Task
The Stroop task is a classic measure of cognitive control and selective attention. Participants name the color of words while ignoring the words' semantic content. When the color and word meaning match (e.g., the word 'red' printed in red i...
Support for Political Violence Measure
This measure assesses citizens' willingness to endorse violence against political opponents, a key indicator of democratic fragility. Nathan Kalmoe and Lilliana Mason's research, synthesized in Radical American Partisanship (2022), maps a c...
Supports Intensity Scale
The Supports Intensity Scale (SIS) is a standardized assessment developed by the American Association on Intellectual and Developmental Disabilities (AAIDD) to measure the pattern and intensity of the supports a person with intellectual or...