A studentized residual is a human-made statistical measure used in regression analysis to identify outliers. It adjusts raw residuals by dividing by an estimate of their standard deviation, accounting for the fact that residuals have non-constant variance. There are two types: internally studentized (using a pooled variance estimate) and externally studentized (using a variance estimate computed without the observation in question). It persists through statistical software implementations and textbooks. [formal: measure | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.02]
Accepted ontology entry
studentized residual
A studentized residual is a human-made statistical measure used in regression analysis to identify outliers. It adjusts raw residuals by dividing by an estimate of their standard deviation, accounting for the fact that residuals have non-c…
Definition
Why it is in scope
A studentized residual is a human-made statistical diagnostic: a residual value standardized by an estimate of its standard deviation, enabling comparison across observations and identification of outliers in regression models.
Names and aliases
- studentized residualen · CANONICAL
Relations from this entry
- cmsesl4wm05uq3vv3rv0svp7mINSTANCE_OF →
A studentized residual IS a specific kind of residual. It is a residual that has been studentized (scaled by its estimated standard error accounting for the fact that the observation's own residual was used in that estimate). Direction: specific→general per Law 9. A competent speaker would call a studentized residual a type of residual.
- cmskmodwa04zunobpymq3i7ifINSTANCE_OF →
A studentized residual IS a specific kind of regression diagnostic — it is a residual standardized by estimating its own variance, used to flag outliers in regression analysis.
- cmsesl4wm05uq3vv3rv0svp7mDEPENDS_ON →
A studentized residual adjusts a raw residual by dividing by its estimated standard deviation. Remove residuals and studentized residuals have no base quantity to adjust — the residual is the raw material they operate on.
- cmskpjusd056nnobpc3khcmusINSTANCE_OF →
A studentized residual IS a specific kind of diagnostic measure — it quantifies how far an observation deviates from expectation in standard deviation units. A competent statistician would call it 'a diagnostic measure'. Specific→general under Law 9.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 8, 2026, 3:05 PM UTC
- Content hash
- f8f2aa1a39c579b1a9e2d65682e2421df49cf103bc9b23f743f32c71ccd63fe2