Talk:Generalized estimating equation

Formulation

Neither k nor $\beta$ are defined in this section. Though $\beta$ in particular may be commonly used to mean a particular regression parameter, these have to be defined or the mathematical formulation is just meaningless. Please define these terms for the readers of this page. Thanks. — Preceding unsigned comment added by Chafe66 (talk • contribs) 23:46, 13 April 2016 (UTC)

Thank you, @mark viking for adding definitions. Chafe66 (talk) 16:56, 12 May 2016 (UTC)

It's still missing plenty of definitions. $Y_{i}$ is presumably the endogenous values being fit (but then why doesn't it have a $j$ subscript?) and $N$ is the number of subjects. But we don't have definitions of either of $k$, $\mu _{i}$. I suspect that there is some typo or omission in this equation given that $j,k$ each occur only once. 165.123.230.45 (talk) 15:38, 9 October 2019 (UTC)

Is it semi-parametric? Other discussions linked to in this article (e.g. the stata command description) make it seem fully parametric. Stata describes it as requiring a full distributional assumption on the distribution and a fully specified link function -- thats parametric. R code manuals suggest the same -- requiring specification of a choice of distribution. Contrast with GLM seems to be more about changing the dependence assumptions between observations than about allowing for less in the way of distributional assumptions. — Preceding unsigned comment added by 143.231.249.133 (talk) 20:03, 31 March 2022 (UTC)

GEEs can be defined for any exponential family response distribution

GEEs are not semiparametric, and support the use of any exponential family response distribution & various link functions, cran.r-project.org/web/packages/gee/gee.pdf. What types of response distributions can be supported now is not mentioned; implicitly only the case with normal errors is now mentioned. The text of this article seems a bit poorly written. At the bottom in this chat maybe some material that could be useful for a more extensive article, covering how GEEs can be fit for various exponential family response distributions & link functions, https://chatgpt.com/share/671ba4c4-85c4-8000-8578-1fc2053cb842 2A02:1811:418:1400:D0A:89FF:572:E9FE (talk) 14:03, 25 October 2024 (UTC)

GEE unbiased coefficient estimates?

"Regression beta coefficient estimates from the Liang-Zeger GEE are consistent, unbiased, and asymptotically normal even when the working correlation is misspecified, under mild regularity conditions."

The coefficient estimators are generally not unbiased with non-identity link functions. Can this be clarified? Abcdane1 (talk) 16:30, 8 July 2026 (UTC)