Normal linear model 101 [General Statistics]
Hi all,
follow a recent exchange with Angus McLean, here's how I understand the normal linear model.
Let's consider the case of a 222-BE study.
I will write it a little differently than C&L do, and I do that because I understand it better this way - there i no functional difference, just a matter of notation. An explanation why this is will follow.
We write
yijkl=intercept+Seqi+Perj+Trtk+Subjl+errorijkl
which means: "The observation y [can be log(AUC) or log(Cmax] is the intercept plus the sequence constant of the i'th sequence which was assigned to subject l, plus the j'th period constant corresponding to the period in which y was sampled, plus a treatment constant for the k'th treatment corresponding to the treatment plus the l'th subject constant corresponding to the subject from which y was sampled plus an error".
So in a 222-BE trial with N completers we have 2 sequence constants, 2 period constants, 2 treatment constants, and N subject constants.
In the following I will look at a dataset like this
![[image]](img/uploaded/image75.jpg)
follow a recent exchange with Angus McLean, here's how I understand the normal linear model.
Let's consider the case of a 222-BE study.
I will write it a little differently than C&L do, and I do that because I understand it better this way - there i no functional difference, just a matter of notation. An explanation why this is will follow.
We write
yijkl=intercept+Seqi+Perj+Trtk+Subjl+errorijkl
which means: "The observation y [can be log(AUC) or log(Cmax] is the intercept plus the sequence constant of the i'th sequence which was assigned to subject l, plus the j'th period constant corresponding to the period in which y was sampled, plus a treatment constant for the k'th treatment corresponding to the treatment plus the l'th subject constant corresponding to the subject from which y was sampled plus an error".
So in a 222-BE trial with N completers we have 2 sequence constants, 2 period constants, 2 treatment constants, and N subject constants.
In the following I will look at a dataset like this
![[image]](img/uploaded/image75.jpg)
—
Pass or fail!
ElMaestro
Pass or fail!
ElMaestro
Complete thread:
- Normal linear model 101ElMaestro 2014-02-25 08:43
- Ch1 ElMaestro 2014-02-25 08:45
- Ch2 ElMaestro 2014-02-25 09:15
- Ch3 ElMaestro 2014-02-25 09:51
- Ch4 - the good, the bad and the ugly ElMaestro 2014-02-25 10:14
- Ch5 ElMaestro 2014-02-25 10:23
- Normal linear model 101 AngusMcLean 2014-03-01 17:24
- Mixed Muddle ElMaestro 2014-03-01 20:53
- Mixed Muddle AngusMcLean 2014-03-02 17:42
- Mixed Muddle ElMaestro 2014-03-02 18:10
- Mixed Muddle AngusMcLean 2014-03-02 17:42
- Mixed Muddle ElMaestro 2014-03-01 20:53
