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Posted to issues@spark.apache.org by "Imran Younus (JIRA)" <ji...@apache.org> on 2015/12/15 04:09:46 UTC
[jira] [Updated] (SPARK-12331) R^2 for regression through the
origin
[ https://issues.apache.org/jira/browse/SPARK-12331?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
Imran Younus updated SPARK-12331:
---------------------------------
Description:
The value of R^2 (coefficient of determination) obtained from LinearRegressionModel is not consistent with R and statsmodels when the fitIntercept is false i.e., regression through the origin. In this case, both R and statsmodels use the definition of R^2 given by eq(4') in the following review paper:
https://online.stat.psu.edu/~ajw13/stat501/SpecialTopics/Reg_thru_origin.pdf
Here is the definition from this paper:
R^2 = \sum(\hat( y)_i^2)/\sum(y_i^2)
The paper also describes why this should be the case. I've double checked that the value of R^2 from statsmodels and R are consistent with this definition. On the other hand, scikit-learn doesn't use the above definition. I would recommend using the above definition in Spark.
was:
The value of R^2 (coefficient of determination) obtained from LinearRegressionModel is not consistent with R and statsmodels when the fitIntercept is false i.e., regression through the origin. In this case, both R and statsmodels use the definition of R^2 given by eq(4') in the following review paper:
https://online.stat.psu.edu/~ajw13/stat501/SpecialTopics/Reg_thru_origin.pdf
Here is the definition from this paper:
R^2 = \sum(\hat(y)_i^2)/\sum(y_i^2)
The paper also describes why this should be the case. I've double checked that the value of R^2 from statsmodels and R are consistent with this definition. On the other hand, scikit-learn doesn't use the above definition. I would recommend using the above definition in Spark.
> R^2 for regression through the origin
> -------------------------------------
>
> Key: SPARK-12331
> URL: https://issues.apache.org/jira/browse/SPARK-12331
> Project: Spark
> Issue Type: Improvement
> Components: ML
> Reporter: Imran Younus
> Priority: Minor
>
> The value of R^2 (coefficient of determination) obtained from LinearRegressionModel is not consistent with R and statsmodels when the fitIntercept is false i.e., regression through the origin. In this case, both R and statsmodels use the definition of R^2 given by eq(4') in the following review paper:
> https://online.stat.psu.edu/~ajw13/stat501/SpecialTopics/Reg_thru_origin.pdf
> Here is the definition from this paper:
> R^2 = \sum(\hat( y)_i^2)/\sum(y_i^2)
> The paper also describes why this should be the case. I've double checked that the value of R^2 from statsmodels and R are consistent with this definition. On the other hand, scikit-learn doesn't use the above definition. I would recommend using the above definition in Spark.
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