[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]

From |
[email protected] (William Gould) |

To |
[email protected] |

Subject |
Re: st: comparing anova and regression results |

Date |
Wed, 17 Jul 2002 11:44:57 -0500 |

Linda Salisbury <[email protected]> notes, > I am getting somewhat different model results from an anova procedure and > it's accompanying regression output. When regressing Y on x1 and x2, the > significance levels reported for x1 and x2 are very different for anova vs. > regression. My guess is that the procedures use somewhat different > algorithms. Why are the results different and how should I interpret them? It is not that the two use somewhat different algorithms, it is that they report statistics that are the answers to different questions. I suspect, because Linda is asking the question, what she wants are the results reported by -regress- and not -anova-, or perhaps something else. In the output Linda provided, she has a 2x2 design. She estimates the model . anova y x1 x2 x1*x2 and x1 and x2 each take on two values. The regression output for x1 reports a test for b1=0 in y = b0 + b1*x1 b2*x2 + b3*x1*x2 That test amounts to a test that x1 has no "direct" effect: If x2==0, changing x1 does not change y. It can still be the case, however, that changing x1 when x2 is not zero can have an effect. The anova output for x1 reports whether x1 has a "main effect". This is a test whether the means for y would be equal in a populations with x1=0 and x1=1, assuming the average x2=.5 in each! If x2=.5, then y = b0 + b1*x1 + b2*.5 + b3*x1*.5 = b0 + b2*.5 + (b1+b3/2)*x1 and the test ANOVA reports amounts to a test that b1+b3/2 == 0. There is a rather cute dicussion of "main effects" in the Technical Note in [R] anova on on page 33 of the References A-G manual. There is a third test reported by neither, and that may be the test Linda really wants: Does x1 have any effect? To test that, we would have to ask whether b1==b2==0. -test- can do that test. -- Bill [email protected] * * For searches and help try: * http://www.stata.com/support/faqs/res/findit.html * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

- Prev by Date:
**st: time series problem** - Next by Date:
**st: RE: time series problem** - Previous by thread:
**st: comparing anova and regression results** - Next by thread:
**st: gamma constraints using glm** - Index(es):

© Copyright 1996–2024 StataCorp LLC | Terms of use | Privacy | Contact us | What's new | Site index |