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Unable to fit a 4PL curve after applying weighting (1/y^2)

I am attempting to analyze a data set that utilizes raw signal points (y, response) and concentration (x, predictor formula) for an ELISA type assay using a logistic 4P model on the data. Once I apply a 1/y^2 weighting to the raw signal points column, the graph can no longer fit giving an R = ~0.45. This same plate has been analyzed with another software okay, so I am wondering what is happening here. Any help is appreciated! 

 

weighting calculation: CurseOfCheetah8_0-1765380519988.png

 

4 REPLIES 4

Re: Unable to fit a 4PL curve after applying weighting (1/y^2)

It's difficult to discern what the issue is without data, could you provide the example of what you're discussing?

 

Thanks,
Ben

“All models are wrong, but some are useful”

Re: Unable to fit a 4PL curve after applying weighting (1/y^2)

Hi Ben, 

I appreciate your response! Below are the numbers I am working with. It's a simple dilution series that I am trying to get to fit with the "ave signal col 1 and 2" on my Y axis and "Theoretical Concentration" as my X. The weighting column is from using the above formulation in the original post. After analyzing with a non-linear model, the 4PL doesnt fit (it does when weighting is removed) 

CurseOfCheetah8_2-1765394423354.png

 

CurseOfCheetah8_0-1765394188171.png

CurseOfCheetah8_1-1765394208282.png

 

 

Re: Unable to fit a 4PL curve after applying weighting (1/y^2)

Hi @CurseOfCheetah8 ,

 

The L4P seems to be working as intended with the weighting, it is just struggling because the weighted data is a poor fit for a 4 parameter model, which you can see in the parameter estimates table:

Ben_BarrIngh_0-1765448129901.png

 

It might be that the equation in your software is different to the one JMP uses? If so you could try and bring that over and use the Non-linear platform.

Let me know if there are differences and I can send some more resources to help.


Thanks,

Ben

“All models are wrong, but some are useful”

Re: Unable to fit a 4PL curve after applying weighting (1/y^2)

Is it reasonable to model this data with any 4PLC when the response is essentially linear to the change in concentration?

Linear Response.png

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