--------------------------------------------
lines 6-87 of file: at_cascade/no_ode_fit.py
--------------------------------------------

{xrst_begin no_ode_fit}
{xrst_spell
  init
  mtexcess
  mtother
  relrisk
  sincidence
}

Do A No Ode Fit For One Node
############################

Prototype
*********
{xrst_literal ,
    # BEGIN_DEF, # END_DEF
    # BEGIN_RETURN, # END_RETURN
}

all_node_database
*****************
is a python string containing the name of the :ref:`all_node_db-name`.

root_database
*************
is a python string specifying the location of the
:ref:`glossary@root_database`.

option_all_dict
***************
is a ``dict`` containing the values in the option_all table.
This dictionary has a key for each
:ref:`option_all_table@Table Format@option_name`
and the corresponding value is
:ref:`option_all_table@Table Format@option_value`.
If an option does not appear in the table, the corresponding key
does not appear in *option_all_dict*.

fit_type
********
is a ``str`` equal to both or fixed
(fit both fixed and random effect or just fixed effects).

no_ode_database
***************
An intermediate database is stored in the file

    *result_dir*\ /\ *root_node_name*\ /no_ode/dismod.db

see :ref:`option_all_table@result_dir`
and :ref:`option_all_table@root_node_name`.
This contains the results of fitting with only the integrand that
do not require solving the ODE; i.e.
Sincidence, remission, and mtexcess which measure
iota, rho, and chi respectively.
It also include relrisk which measures

    ( *omega* + *chi* ) / *omega*

1. These integrands are included even if they are held out in the
   *root_fit_database* using the hold_out_integrand option.
2. The integrand mtother is excluded because omega is constrained using
   :ref:`omega_constraint-name`.
3. The data likelihoods are fit as Gaussian using the dismod_at data_density
   command.
4. The results of fitting this data base can be converted to
   csv files and plotted using the dismod_at db2csv and plotting routines.

root_fit_database
*****************
The return value *root_fit_database* is equal to

    *result_dir*\ /\ *root_node_name*\ /dismod.db

which can't be the same file name as *root_database*.
This is an input_node_database similar to *root_database*.
The difference is that the mean value in the priors for the fixed effects
have been replace by the optimal estimate for fitting with out the integrands
that use the ODE.
The last operation on this database is a dismod_at init command.

{xrst_end no_ode_fit}