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---------

Co-authored-by: jose-donato <zmcdonato@gmail.com>
Co-authored-by: jose-donato <43375532+jose-donato@users.noreply.github.com>
Co-authored-by: andrewkenreich <andrew.kenreich@gmail.com>
2023-10-30 21:01:29 +00:00

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---
title: bpag
description: The page provides information on how to use the 'bpag' command to conduct
the Breusch-Pagan heteroscedasticity test in econometrics. It requires running OLS
with dependent and independent variables and shows whether there is heteroscedasticity
in the data.
keywords:
- Breusch-Pagan test
- heteroscedasticity test
- OLS
- econometrics
- bpag command
- data analysis
---
import HeadTitle from '@site/src/components/General/HeadTitle.tsx';
<HeadTitle title="econometrics /bpag - Reference | OpenBB Terminal Docs" />
Show Breusch-Pagan heteroscedasticity test results. Needs OLS to be run in advance with independent and dependent variables
### Usage
```python
bpag
```
---
## Parameters
This command has no parameters
---
## Examples
```python
2022 Jun 01, 06:29 (🦋) /econometrics/ $ load longley -a ll
2022 Jun 01, 06:29 (🦋) /econometrics/ $ ols -d ll.totemp -i ll.gnpdefl,ll.gnp,ll.unemp,ll.armed,ll.pop,ll.year
OLS Regression Results
=======================================================================================
Dep. Variable: ll.totemp R-squared (uncentered): 1.000
Model: OLS Adj. R-squared (uncentered): 1.000
Method: Least Squares F-statistic: 5.052e+04
Date: Wed, 01 Jun 2022 Prob (F-statistic): 8.20e-22
Time: 12:29:44 Log-Likelihood: -117.56
No. Observations: 16 AIC: 247.1
Df Residuals: 10 BIC: 251.8
Df Model: 6
Covariance Type: nonrobust
==============================================================================
coef std err t P|t| [0.025 0.975]
------------------------------------------------------------------------------
ll.gnpdefl -52.9936 129.545 -0.409 0.691 -341.638 235.650
ll.gnp 0.0711 0.030 2.356 0.040 0.004 0.138
ll.unemp -0.4235 0.418 -1.014 0.335 -1.354 0.507
ll.armed -0.5726 0.279 -2.052 0.067 -1.194 0.049
ll.pop -0.4142 0.321 -1.289 0.226 -1.130 0.302
ll.year 48.4179 17.689 2.737 0.021 9.003 87.832
==============================================================================
Omnibus: 1.443 Durbin-Watson: 1.277
Prob(Omnibus): 0.486 Jarque-Bera (JB): 0.605
Skew: 0.476 Prob(JB): 0.739
Kurtosis: 3.031 Cond. No. 4.56e+05
==============================================================================
Notes:
[1] R² is computed without centering (uncentered) since the model does not contain a constant.
[2] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[3] The condition number is large, 4.56e+05. This might indicate that there are
strong multicollinearity or other numerical problems.
Warnings:
kurtosistest only valid for n=20 ... continuing anyway, n=16
2022 Jun 01, 06:30 (🦋) /econometrics/ $ bpag
Breusch-Pagan heteroscedasticity test
┏━━━━━━━━━━┳━━━━━━━━━━━━━━━┓
┃ ┃ Breusch-Pagan ┃
┡━━━━━━━━━━╇━━━━━━━━━━━━━━━┩
│ lm-stat │ 7.90 │
├──────────┼───────────────┤
│ p-value │ 0.16 │
├──────────┼───────────────┤
│ f-stat │ 1.63 │
├──────────┼───────────────┤
│ fp-value │ 0.24 │
└──────────┴───────────────┘
The result 0.16 indicates the existence of heteroscedasticity. Consider taking the log or a rate for the dependent variable.
```
---