daviddoji/summerschool_simtech_2023
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Another update

Browse Source
This commit is contained in:
Marco Oesting
2023-10-09 16:14:00 +02:00
parent 08951f610d
commit 39892ad1c1
1 changed files with 32 additions and 30 deletions
Download Patch File Download Diff File Expand all files Collapse all files

16
material/3_wed/regression/MultipleRegressionBasics.qmd
View File

@@ -232,21 +232,22 @@ $$
For the models above, these are:
+--------------+---------------------+--------------------+
| Type of Data | Distribution Family | Link Function |
+==============+=====================+====================+
+---------------+-------------------+------------------+
| Type of Data | Distribution | Link Function |
| | Family | |
+===============+===================+==================+
| continuous | Normal | identity: |
| | | |
| | | $$ |
| | | g(x)=x |
| | | $$ |
+--------------+---------------------+--------------------+
+---------------+-------------------+------------------+
| count | Poisson | log: |
| | | |
| | | $$ |
| | | g(x) = \log(x) |
| | | $$ |
+--------------+---------------------+--------------------+
+---------------+-------------------+------------------+
| binary | Bernoulli | logit: |
| | | |
| | | $$ |
@@ -254,9 +255,10 @@ For the models above, these are:
| | | ( |
| | | \ |
| | | f |
| | | rac{x}{1-x}\right) |
| | | ra |
| | | c{x}{1-x}\right) |
| | | $$ |
+--------------+---------------------+--------------------+
+---------------+-------------------+------------------+
In general, the parameter vector $\beta$ is estimated via maximizing the
likelihood, i.e.,