Term: Generalized Linear Model (GLM)

Glossary Definition

Last Updated: 2006-10-20

Definition:

A unified class of models for regression analysis of independent observations of a discrete or continuous response. A characteristic feature of generalized linear models is that a suitable non-linear transformation of the mean response is a linear function of the covariates. Generalized linear models provide a unified method for analyzing diverse types of univariate responses (e.g., continuous, binary, counts). Generalized linear models are actually a collection of regression models and they include as special cases the standard linear regression for normally distributed continuous outcomes, logistic regression models for a binary outcome, or Poisson regression models for counts (Fox J., 1997). Estimate statements in generalized linear models provide both a parameter estimate based on the regressions and a statistical test of linear combinations of fixed effects. Contrast statements can be used to produce statistical test results.

Related concepts 

• Ordering By Premature Mortality Rate (PMR)
• Statistics for Large Databases

Related terms 

• Contrast Statement
• Covariate
• Estimate Statement
• Generalized Estimating Equations (GEE)
• Generalized Linear Regression
• Hierarchical Generalized Linear Modeling (HGLM)
• Logistic Regression
• Modelling
• Multiple Regression Analysis
• OLS Regression
• Regression Analysis

References 

• Lix L, Yogendran M, Burchill C, Metge C, McKeen N, Moore D, Bond R. Defining and Validating Chronic Diseases: An Administrative Data Approach. Winnipeg, MB: Manitoba Centre for Health Policy, 2006. [Report] [Summary] (View)

Term used in 

• Brownell M, Chartier M, Santos R, Ekuma O, Au W, Sarkar J, MacWilliam L, Burland E, Koseva I, Guenette W. How are Manitoba's Children Doing? Winnipeg, MB: Manitoba Centre for Health Policy, 2012. [Report] [Summary] [Updates and Errata] [Additional Materials] (View)
• Brownell M, De Coster C, Penfold R, Derksen S, Au W, Schultz J, Dahl M. Manitoba Child Health Atlas Update. Winnipeg, MB: Manitoba Centre for Health Policy, 2008. [Report] [Summary] [Additional Materials] (View)
• Chartier M, Finlayson G, Prior H, McGowan K, Chen H, de Rocquigny J, Walld R, Gousseau M. Health and Healthcare Utilization of Francophones in Manitoba. Winnipeg, MB: Manitoba Centre for Health Policy, 2012. [Report] [Summary] (View)
• Fransoo R, Martens P, Prior H, Chateau D, McDougall C, Schultz J, McGowan K, Soodeen R, Bailly A. Adult Obesity in Manitoba: Prevalence, Associations, and Outcomes. Winnipeg, MB: Manitoba Centre for Health Policy, 2011. [Report] [Summary] (View)
• Fransoo R, Martens P, The Need to Know Team, Burland E, Prior H, Burchill C, Chateau D, Walld R. Sex Differences in Health Status, Health Care Use, and Quality of Care: A Population-Based Analysis for Manitoba's Regional Health Authorities. Winnipeg, MB: Manitoba Centre for Health Policy, 2005. [Report] [Summary] [Additional Materials] (View)
• Fransoo R, Martens P, The Need to Know Team, Prior H, Burchill C, Koseva I, Bailly A, Allegro E. The 2013 RHA Indicators Atlas. Winnipeg, MB: Manitoba Centre for Health Policy, 2013. [Report] [Summary] [Additional Materials] (View)
• Fransoo R, Martens P, The Need to Know Team, Prior H, Burchill C, Koseva I, Rajotte L. Who is in our Hospitals.and why? Winnipeg, MB: Manitoba Centre for Health Policy, 2013. [Report] [Summary] [Additional Materials] (View)
• Katz A, Bogdanovic B, Ekuma O, Soodeen RA, Chateau D, Burnett C. Physician Resource Projection Models . Winnipeg, MB: Manitoba Centre for Health Policy, 2009. [Report] [Summary] (View)
• Katz A, Avery Kinew K, Star L, Taylor C, Koseva I, Lavoie J, Burchill C, Urquia M, Basham A, Rajotte L, Ramayanam V, Jarmasz J, Burchill S. The Health Status of and Access to Healthcare by Registered First Nation Peoples in Manitoba. Winnipeg, MB: Manitoba Centre for Health Policy, 2019. [Report] [Summary] [Updates and Errata] [Additional Materials] (View)
• Martens P, Nickel N, Forget E, Lix L, Turner D, Prior H, Walld R, Soodeen RA, Rajotte L, Ekuma O. The Cost of Smoking: A Manitoba Study. Winnipeg, MB: Manitoba Centre for Health Policy, 2015. [Report] [Summary] [Updates and Errata] [Additional Materials] (View)
• Metge C, Chateau D, Prior H, Soodeen R, De Coster C, Barre L. Composite Measures/Indices of Health and Health System Performance. Winnipeg, MB: Manitoba Centre for Health Policy, 2009. [Report] [Summary] (View)