# Diagonal matrix generation full matrix fit

[Generated automatically as a Tutorial summary]

## Model Description

Name:

  gen_diag_fit_full

Title:

  Diagonal matrix generation full matrix fit

Author:

  PoPy for PK/PD

Abstract:

One compartment model with absorption compartment and CL/V parametrisation.
This script uses a diagonal covariance matrix to generate the data and a full covariance matrix to fit.

Keywords:

  dep_one_cmp_cl; one compartment model; diagonal matrix; full matrix

Input Script:

  `gen_diag_fit_full_tut.pyml`

Diagram:

## Comparison

### True objective value

    -2170.8803

### Final fitted objective value

    -2173.3582

### Compare Main f[X]

No Main f[X] values to compare.

### Compare Noise f[X]

No Noise f[X] values to compare.

### Compare Variance f[X]

Name | Initial | Fitted | True | Abs. Error | Prop. Error
--- | --- | --- | --- | --- | ---
f[CL_isv] | 0.01 | 0.18 | 0.2 | 1.97e-02 | 9.83%
f[CL_isv;V_isv] | 0.0001 | 0.00873 | 0 | 8.73e-03 | inf
f[V_isv;CL_isv] | 0.0001 | 0.00873 | 0 | 8.73e-03 | inf
f[V_isv] | 0.01 | 0.0886 | 0.1 | 1.14e-02 | 11.39%

## Outputs

### Fitted f[X] values (after fitting)

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.1803, 0.0087 ],
        [ 0.0087, 0.0886 ],
    ]

### Generated data .csv file

Synthetic Data:

  `synthetic_data.csv`

### Gen and Fit Summaries

- Gen: Diagonal matrix generation full matrix fit (gen)

- Fit: Diagonal matrix generation full matrix fit (fit)

## Inputs

### True f[X] values (for simulation)

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.2000, 0.0000 ],
        [ 0.0000, 0.1000 ],
    ]

### Starting f[X] values (before fitting)

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.0100, 0.0001 ],
        [ 0.0001, 0.0100 ],
    ]