ANCOVA or two-way ANOVA

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ANCOVA or two-way ANOVA

Nico
Hi all,

I'm looking at the differences in tooth size between two populations. My primary concern is tooth size but I also want to see if sex has an effect on the variable - or at least take the sex variable out of the equation.

Should I run an ANCOVA with sex as a covariate or run a two-way ANOVA with both tooth size and sex as the fixed factors?

Thanks!

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Re: ANCOVA or two-way ANOVA

David Marso
Administrator
"Should I run an ANCOVA with sex as a covariate or run a two-way ANOVA with both tooth size and sex as the fixed factors? "
Hmmm, **Neither**!  
How is it that tooth size is a factor at all considering you seem to be describing it as the dependent variable?
You say two 'populations'.. You mean two "*samples*" but do not describe these samples.
ANCOVA assumes 'covariates' are continuous variables and are not correlated with other 'explanatory' variables...
Nico wrote
Hi all,

I'm looking at the differences in tooth size between two populations. My primary concern is tooth size but I also want to see if sex has an effect on the variable - or at least take the sex variable out of the equation.

Should I run an ANCOVA with sex as a covariate or run a two-way ANOVA with both tooth size and sex as the fixed factors?

Thanks!
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Re: ANCOVA or two-way ANOVA

Bruce Weaver
Administrator
In reply to this post by Nico
I think you're getting hung up on terminology that arose in the days before everyone had a computer & stats package.*  In more up-to-date terminology, you have a general linear model with two dichotomous explanatory variables (Group and Sex).  Dichotomous variables can be treated as either categorical (fixed factors) or continuous (covariates)--you'll get the same results either way.  (It's convenient to use 0-1 coding if you treat them as continuous.)  To verify this, run your model via UNIANOVA with both variables as fixed factors, with both as covariates, and with one factor and one covariate.  Then run the model again using REGRESSION.  (For REGRESSION, you'll have to compute your own product term if you're including the interaction.)  

HTH.


Nico wrote
Hi all,

I'm looking at the differences in tooth size between two populations. My primary concern is tooth size but I also want to see if sex has an effect on the variable - or at least take the sex variable out of the equation.

Should I run an ANCOVA with sex as a covariate or run a two-way ANOVA with both tooth size and sex as the fixed factors?

Thanks!
--
Bruce Weaver
bweaver@lakeheadu.ca
http://sites.google.com/a/lakeheadu.ca/bweaver/

"When all else fails, RTFM."

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Re: ANCOVA or two-way ANOVA

Swank, Paul R
In reply to this post by Nico
If it is possible that the difference between populations may vary as a function of gender then
You should use the two way ANOVA.

Dr. Paul R. Swank,
Children's Learning Institute
Professor, Department of Pediatrics, Medical School
Adjunct Professor, School of Public Health
University of Texas Health Science Center-Houston


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Nico
Sent: Wednesday, April 25, 2012 9:53 AM
To: [hidden email]
Subject: ANCOVA or two-way ANOVA

Hi all,

I'm looking at the differences in tooth size between two populations. My
primary concern is tooth size but I also want to see if sex has an effect on
the variable - or at least take the sex variable out of the equation.

Should I run an ANCOVA with sex as a covariate or run a two-way ANOVA with
both tooth size and sex as the fixed factors?

Thanks!



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