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Update Generalized Linear Models
authored
Jan 02, 2021
by
Mortaheb Sepehr
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Generalized-Linear-Models.md
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@@ -132,7 +132,15 @@ When constructing a generalized linear model, three major decisions must be made
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@@ -132,7 +132,15 @@ When constructing a generalized linear model, three major decisions must be made
2.
**Specifying the Systematic Component (Linear Predictor):**
2.
**Specifying the Systematic Component (Linear Predictor):**
A linear combination of predictor variables should be constructed as the linear
A linear combination of predictor variables should be constructed as the linear
predictor of the model.
predictor of the model. This component is the fixed structural part of the model that
will be used to explain systematic variability between means. If we have Q+1 predictors
in our model, the linear predictor would be:
<a href="https://www.codecogs.com/eqnedit.php
latex=
\e
ta=
\b
eta_0
+
\beta_1x_1
+
\beta_2x_2
+&space;
...
+&space;
\b
eta_Qx_Q" target="_blank">
<img
src=
"https://latex.codecogs.com/svg.latex?\eta=\beta_0+\beta_1x_1+\beta_2x_2+&space;...+&space;\beta_Qx_Q"
title=
"\eta=\beta_0+\beta_1x_1+\beta_2x_2+ ...+ \beta_Qx_Q"
/></a>
3.
**Choosing a Link Function:**
3.
**Choosing a Link Function:**
An appropriate function must be chosen which maps the mean of the response variable
An appropriate function must be chosen which maps the mean of the response variable
onto the linear predictor. This function should be chosen in such a way to ensure that
onto the linear predictor. This function should be chosen in such a way to ensure that
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