Threshold of % change? [General Statistics]
Hi Ben,
» So you are essentially saying statistical relevance is not the right tool here. Agreed.
I was talking about statistical significance.
When it comes to a test, see the end of Section 1 in this post (EUFEPS workshop, Bonn, June 2013).
» Instead of relying on visual inspection & gut feeling (= common sense?
) …
Well, we are using visual inspection in other areas as well. Automatic algos for selecting time points in estimating \(\small{\hat\lambda_z}\) (e.g., \(\small{R_{\textrm{adj,max}}^{2}}\), \(\small{AIC_\textrm{min}}\), \(\small{\text{TTT}}\)) quite often fail for ‘flat’ profiles (MR) or multiphasic profiles. I’m fine with selecting time points ‘manually’. Never had any problems with acceptance.
» … can we define pharmacological relevance?
That’s actually the idea behind assessing the slope. Either we are still in the saturation phase (slope >0) or reasonably close to true steady state (slope ≈0).
» Is there a way to define quantitative thresholds based on the PK (or even PD?) of the compound (i.e. concentration should not change by more than x%)?
Radio Yerevan answers: Based on PK, in principle yes.
But how could we do that? We design the study based on τ and t½. Hopefully we don’t use an average t½ – from the literature – but a worst case (i.e., a longer one).
$$C_\tau$$$$\small{
\begin{array}{crr}
\hline
\text{Dose} & \text{% of steady state} & \text{% Change} \\
\hline
1 & 50.00000 & - \\
2 & 75.00000 & 50.000000 \\
3 & 87.50000 & 16.666667 \\
4 & 93.75000 & 7.142857 \\
5 & 96.87500 & 3.333333 \\
6 & 98.43750 & 1.612903 \\
7 & 99.21875 & 0.793651 \\
\hline
\end{array}}$$Looks nice on paper. However, I see a problem here (maybe I’m wrong). In the regression we assess the last three pre-dose concentrations, which – to some extent – takes the inter-occasion variability into account. Of course, we may fall into the trap mentioned previously.
When we set a threshold of \(\small{x\%}\), we are essentially believing that the last two pre-dose concentrations are the true ones, right? Of course, that’s another trap.
» So you are essentially saying statistical relevance is not the right tool here. Agreed.
I was talking about statistical significance.
When it comes to a test, see the end of Section 1 in this post (EUFEPS workshop, Bonn, June 2013).
» Instead of relying on visual inspection & gut feeling (= common sense?

Well, we are using visual inspection in other areas as well. Automatic algos for selecting time points in estimating \(\small{\hat\lambda_z}\) (e.g., \(\small{R_{\textrm{adj,max}}^{2}}\), \(\small{AIC_\textrm{min}}\), \(\small{\text{TTT}}\)) quite often fail for ‘flat’ profiles (MR) or multiphasic profiles. I’m fine with selecting time points ‘manually’. Never had any problems with acceptance.
» … can we define pharmacological relevance?
That’s actually the idea behind assessing the slope. Either we are still in the saturation phase (slope >0) or reasonably close to true steady state (slope ≈0).
» Is there a way to define quantitative thresholds based on the PK (or even PD?) of the compound (i.e. concentration should not change by more than x%)?
![[image]](https://static.bebac.at/img/Favicon_wikipedia_en.gif)
But how could we do that? We design the study based on τ and t½. Hopefully we don’t use an average t½ – from the literature – but a worst case (i.e., a longer one).
$$C_\tau$$$$\small{
\begin{array}{crr}
\hline
\text{Dose} & \text{% of steady state} & \text{% Change} \\
\hline
1 & 50.00000 & - \\
2 & 75.00000 & 50.000000 \\
3 & 87.50000 & 16.666667 \\
4 & 93.75000 & 7.142857 \\
5 & 96.87500 & 3.333333 \\
6 & 98.43750 & 1.612903 \\
7 & 99.21875 & 0.793651 \\
\hline
\end{array}}$$Looks nice on paper. However, I see a problem here (maybe I’m wrong). In the regression we assess the last three pre-dose concentrations, which – to some extent – takes the inter-occasion variability into account. Of course, we may fall into the trap mentioned previously.
When we set a threshold of \(\small{x\%}\), we are essentially believing that the last two pre-dose concentrations are the true ones, right? Of course, that’s another trap.
—
Dif-tor heh smusma 🖖![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
Helmut Schütz
![[image]](https://static.bebac.at/img/CC by.png)
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Dif-tor heh smusma 🖖
![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
Helmut Schütz
![[image]](https://static.bebac.at/img/CC by.png)
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Complete thread:
- Achievement of Steady State arl_stat 2021-07-31 07:42 [General Statistics]
- Achievement of Steady State: Visual inspection & common sense Helmut 2021-07-31 10:58
- Achievement of Steady State: Visual inspection & common sense Ben 2021-08-05 08:08
- Threshold of % change?Helmut 2021-08-05 11:43
- Threshold of % change? Ben 2021-10-17 12:16
- Keep it simple Helmut 2021-10-20 12:36
- Threshold of % change? Ben 2021-10-17 12:16
- Threshold of % change?Helmut 2021-08-05 11:43
- Achievement of Steady State: Visual inspection & common sense Ben 2021-08-05 08:08
- Achievement of Steady State: Visual inspection & common sense Helmut 2021-07-31 10:58