Report non-linear term in a full regression model Simple question about statistical reporting best practices.
I was asked to report the full model as a supplementary material of my paper. With the help of a toy example, let's say I have two variables in the model: var1 (linear) and var2 (modelled as a restricted cubic spline with 4 knots).
Here is the output:
  Coef    S.E.    Wald Z Pr(>|Z|)

 var1   -0.8754  0.0158  8.79  <0.0001 
 var2    4.5077  1.5089  2.99  0.0028  
 var2'  -0.1702  4.8386 -0.04  0.9719  
 var2'' -5.4636 12.5472 -0.44  0.6632 

So the question is: how am I suppose to report this model in full, and particularly how to deal with non-linear terms?
My guess was to produce a table like this one:




Variable
Coefficient
SE
p




Var1
-0.8754
0.0158
<0.0001


Var2
4.5077
1.5089
0.0028


Var2 (non-linear term 1)
-0.1702
4.8386
0.9719


Var2 (non-linear term 2)
-5.4636
12.5472
0.6632




But I am not sure this would be appropriate (especially referring to "non-linear term 1" and "non-linear term 2").
Can anyone help?

I would keep the two sets of predictors separate as they convey different messages.
In Var1 and Var2 perhaps you may want to test if the relation between response and predictors is linear and significant.
The nonlinear spline terms, which are typically included for model flexibility, have more parameters and thus require specific explanation; for instance, here it's not obvious what Coefficient, se and $p$-values are referring to.
