simplify update_partable! syntax

Author: Maximilian-Stefan-Ernst

docs/src/tutorials/constraints/constraints.md

@@ -162,7 +162,7 @@ As you can see, the optimizer converged (`:XTOL_REACHED`) and investigating the
 update_partable!(
     partable,
     :estimate_constr,
-    param_labels(model_fit_constrained), 
+    model_fit_constrained, 
     solution(model_fit_constrained), 
     )
 

docs/src/tutorials/inspection/inspection.md

@@ -87,8 +87,8 @@ We can also update the `ParameterTable` object with other information via [`upda
 se_bs = se_bootstrap(model_fit; n_boot = 20)
 se_he = se_hessian(model_fit)
 
-update_partable!(partable, :se_hessian, param_labels(model_fit), se_he)
-update_partable!(partable, :se_bootstrap, param_labels(model_fit), se_bs)
+update_partable!(partable, :se_hessian, model_fit, se_he)
+update_partable!(partable, :se_bootstrap, model_fit, se_bs)
 
 details(partable)
 ```

docs/src/tutorials/regularization/regularization.md

@@ -129,7 +129,7 @@ sem_fit = fit(model)
 
 update_estimate!(partable, sem_fit)
 
-update_partable!(partable, :estimate_lasso, param_labels(fit_lasso), solution(fit_lasso))
+update_partable!(partable, :estimate_lasso, fit_lasso, solution(fit_lasso))
 
 details(partable)
 ```
@@ -167,7 +167,7 @@ fit_mixed = fit(model_mixed; engine = :Proximal, operator_g = prox_operator)
 Let's again compare the different results:
 
 ```@example reg
-update_partable!(partable, :estimate_mixed, param_labels(fit_mixed), solution(fit_mixed))
+update_partable!(partable, :estimate_mixed, fit_mixed, solution(fit_mixed))
 
 details(partable)
 ```

src/frontend/specification/ParameterTable.jl

@@ -288,14 +288,25 @@ function update_partable!(
 end
 
 """
-    update_partable!(partable::AbstractParameterTable, param_labels::Vector{Symbol}, params, column)
-
-Write parameter `values` into `column` of `partable`.
-
-The `param_labels` and `params` vectors define the pairs of 
-parameters, which are being matched to the `:param` column
-of the `partable`.
+    (1) update_partable!(partable::AbstractParameterTable, column, fitted:SemFit, params, default = nothing)
+    
+    (2) update_partable!(partable::AbstractParameterTable, column, param_labels::Vector{Symbol}, params, default = nothing)
+
+Add a new column to a parameter table. 
+`column` is the name of the column, `params` contains the values of the new column,
+and `fitted` or `param_labels` is used to match the values to the correct parameter labels.
+The `default` value is used if a parameter in `partable` does not occur in `param_labels`.
 """
+function update_partable!(
+    partable::AbstractParameterTable,
+    column::Symbol,
+    fitted::SemFit,
+    params::AbstractVector,
+    default::Any = nothing,
+)
+    update_partable!(partable, column, param_labels(fitted), params, default)
+end
+
 function update_partable!(
     partable::ParameterTable,
     column::Symbol,