Interpreting Regression Output
Step-by-step instructions for interpreting
regression results. A short booklet, with several "cheat sheets" with interpretation short-cuts.
Sample
The books conceptually explains the interpretation of output and the checking for
the breakdown of classical assumptions.
It also has short tables that permit easy reference to the many rules and guidelines in the interpretation process.
One example is shown in the next table
Summary of impact of a breakdown of a classical assumption on the reliability with which output can be interpreted.
|
Impact |
|
Violation |
F |
R2 |
Beta |
Std Error
(of estimate) |
Std Error
(of Beta) |
T |
|
Measurement error in dependent variable |
None |
None |
None |
None |
Biased Up |
Biased
Down |
|
Measurement error in independent variable |
Biased |
Biased |
Biased |
Biased |
Biased |
Biased |
|
Irrelevant variable |
None |
None |
None |
None |
Biased
Up |
Biased
Down |
|
Omitted variable |
Biased |
Biased |
Biased |
Biased |
Biased |
Biased |
|
Incorrect functional form |
Biased |
Biased |
Biased |
Biased |
Biased |
Biased |
|
Heteroskedasticity |
Biased |
None |
None |
Biased |
Biased |
Biased |
|
Collinearity |
None |
None |
None |
None |
Biased
Up |
Biased
Down |
|
Simultaneity Biased |
Biased |
Biased |
Biased |
Biased |
Biased |
Biased |
Legend for understanding the table:
None - The statistic is still reliable and unbiased
Biased -The statistic is Biased, and cannot be relied
Down - Downward Bias (calculated statistic is an underestimate of the true and unbiased estimate of the
statistics)
Up - Upward Bias (calculated statistic is an overestimate of the true and unbiased estimate of the statistics)
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