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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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