Kelly,
I am not going to answer your question directly as I have no experience with 
all those packages and others.
Your question is very broad as you have not told us what your criteria and 
needs are.
For some purposes, the package to use may be one that has been around, seems to 
continue to be supported, has had many kinks and errors straightened out and so 
on.
For other purposes, a package often comes with lots of other "related" 
functionality and often  uses names that hide other functions you may use. If a 
package also meets your other needs, or takes your data in the current format 
rather than making you rearrange first or after it returns, or other such 
considerations, that may be a valid set of criteria.
Do you care about various costs and overhead? You may not if your data is small 
and there may be a huge difference if the function does too much that you do 
not need or an inefficient algorithm. If your need is one-time, fine. If it 
will be used regularly, you may want to use some testing while measuring use of 
time and memory and anything else you care about which can include 
parallelization. In many cases, you can view the source code and sometimes even 
copy some and modify for your own use, especially if the function takes dozens 
of arguments you never expect to use and your needs are far simpler.
And, realistically, if you work with others, it may work better to use whatever 
they use, all else being close to equal.
I will say this is not the best place to ask such questions as the focus is on 
base R. Some here prefer not to have questions even about some fairly commonly 
used packages. But an abstract question about a plethora of packages, many not 
mentioned, may get more answers like mine rather than useful ones.
Good luck.


-----Original Message-----
From: Kelly Thompson <kt1572...@gmail.com>
To: r-help@r-project.org
Sent: Sat, Apr 16, 2022 2:45 pm
Subject: [R] What are the pros and cons of the various R functions and methods 
for conducting least median of squares regression analysis?

What are the pros and cons of the various R functions and methods for
conducting least median of squares regression analysis?

I know about these:

lqs, wth method = "lms" and lmsreg, which as I understan dit are equivalent

Mentions:
https://www.rdocumentation.org/packages/MASS/versions/7.3-56/topics/lqs

https://stat.ethz.ch/pipermail/r-help/2006-October/115681.html

https://stat.ethz.ch/pipermail/r-help/2007-March/126564.html
-----

ltsReg

https://www.rdocumentation.org/packages/robustbase/versions/0.1-2/topics/ltsReg
-----
nl.lmsNM
https://rdrr.io/cran/nlr/man/nl.lmsNM.html

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