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Proportional hazards model: Measurement & Products

Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multiplicative with respect to the hazard…

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Proportional hazards model topic overview

The analysis highlights Measurement and Products as prominent areas in the source structure around Proportional hazards model.

Related topics
36
Source areas
8
Connected nodes
44
Extracted relationships
31
Related term clusters
21
Bridge connections
44

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

The Cox model · 11 topics
Software implementations · 8 topics
Overview · 6 topics
Time-varying predictors and coefficients · 4 topics
Relationship to Poisson models · 2 topics
Specifying the baseline hazard function · 2 topics
Under high-dimensional setup · 2 topics
Background · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Background

The Cox model

Time-varying predictors and coefficients

Specifying the baseline hazard function

Relationship to Poisson models

Under high-dimensional setup

Software implementations

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Proportional hazards model connects Entity context

The extracted context around Proportional hazards model shows recurring relationship patterns in the source. For example, Proportional hazards model → Breslow's, Covariates, Li, Obviously, The Cox, Xi, Y1, Y2, Yi, YM Another extracted example is Proportional hazards model → Cox, Let Xi, Note, Sir David Cox, Xi, Xi1, Xip. Use these groups to spot repeated connection types before inspecting the individual relationships.

Proportional hazards model

Top relations

related to Likelihood for unique times · 10
Proportional hazards model → Breslow's, Covariates, Li, Obviously, The Cox, Xi, Y1, Y2, Yi, YM
related to Introduction · 7
Proportional hazards model → Cox, Let Xi, Note, Sir David Cox, Xi, Xi1, Xip
related to Relationship to Poisson models · 5
Proportional hazards model → Laird, McCullagh, Nelder's, Olivier, Poisson
related to Specifying the baseline hazard function · 3
Proportional hazards model → Incidentally, The Cox, Weibull

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

hazard displaystyle hazards proportional model beta time baseline lambda exp cox survival covariates models likelihood function cdot ratio event frac

Proportional hazards model relationships Subject–Predicate–Object triples

TTTA extracted 31 structured relationships around Proportional hazards model. Examples in this analysis include accelerated failure time models do not exhibit proportional hazards → instance of → Other types of survival models and treatment assignment → instance of → A typical medical example would include covariates. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
accelerated failure time models do not exhibit proportional hazardsinstance ofOther types of survival models0.80text
treatment assignmentinstance ofA typical medical example would include covariates0.80text
as well as patient characteristics such as age at start of studyinstance ofA typical medical example would include covariates0.80text
genderinstance ofA typical medical example would include covariates0.80text
and the presence of other diseases at start of studyinstance ofA typical medical example would include covariates0.80text
in order to reduce variability and/or control for confounding.The proportional hazards condition states that covariates are multiplicatively related to the hazardinstance ofA typical medical example would include covariates0.80text
Proportional hazards modelrelated to IntroductionSir David Cox0.60section
Proportional hazards modelrelated to IntroductionCox0.60section
Proportional hazards modelrelated to IntroductionLet Xi0.60section
Proportional hazards modelrelated to IntroductionXi10.60section
Proportional hazards modelrelated to IntroductionXip0.60section
Proportional hazards modelrelated to IntroductionXi0.60section

Related concept clusters Related term clusters

The concept neighborhoods around Proportional hazards model bring nearby vocabulary together. In this analysis, examples include Proportional, Model and Cox. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Proportional hazards model
    • Proportional
    • Model
    • Cox
    • Hazard
    • Models
    • Effect
    • Function
    • Ratio
    • Term
    • Time
    • Survival
    • Covariate
  • survival models
    • Proportional
    • Survival
    • Term
    • Death
    • Effect
    • Event
    • Likelihood
    • Time
    • One
    • Covariates
    • Regression
    • Hospital
  • accelerated failure time models
    • Proportional
    • Survival
    • Term
    • Effect
    • Frac
    • Likelihood
    • Time
    • Covariates
    • Beta
    • Event
    • Regression
    • Exp
  • hazard function
    • Baseline
    • Displaystyle
    • Lambda
    • Proportional
    • Model
    • Exp
    • Function
    • Hazard
    • Likelihood
    • Hazards
    • Cox
    • Beta
  • hazard ratios
    • Baseline
    • Displaystyle
    • Lambda
    • Proportional
    • Model
    • Exp
    • Function
    • Hazards
    • Cox
    • Beta
    • Estimate
    • Rate
  • weibull hazard function
    • Baseline
    • Displaystyle
    • Lambda
    • Proportional
    • Model
    • Exp
    • Function
    • Hazard
    • Likelihood
    • Hazards
    • Cox
    • Beta
  • specifying the baseline hazard function
    • Baseline
    • Hazard
    • Displaystyle
    • Lambda
    • Proportional
    • Estimate
    • Model
    • Exp
    • Function
    • Likelihood
    • Cox
    • Hazards
  • proportional hazards model
    • Proportional
    • Cox
    • Model
    • Hazard
    • Models
    • Effect
    • Baseline
    • Function
    • Cdot
    • Ratio
    • Term
    • Lambda

Connections between topic areas Semantic bridges

For Proportional hazards model, one of the stronger structural bridges in this analysis connects Proportional hazards model with The Cox model. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Proportional hazards model — The Cox model · splits 33 ⟂ 12
Proportional hazards model — Software implementations · splits 36 ⟂ 9
Proportional hazards model — Overview · splits 38 ⟂ 7
Proportional hazards model — Time-varying predictors and coefficients · splits 40 ⟂ 5
Proportional hazards model — Specifying the baseline hazard function · splits 42 ⟂ 3
Proportional hazards model — Relationship to Poisson models · splits 42 ⟂ 3
Proportional hazards model — Under high-dimensional setup · splits 42 ⟂ 3

Map overview Semantic statistics

Proportional hazards model

Nodes45
Edges44
Triples31
Avg. degree1.96
Density0.044444
Components1

Source & methodology

TTTA analyzes the structure around Proportional hazards model to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Measurement & Products, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Proportional hazards model · EN edition · Analysis: TopicsToTalkAbout

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