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Science Forum Index » Statistics - Math Forum » ANOVA...
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| sagar... |
Posted: Mon Jun 30, 2008 11:35 pm |
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Guest
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Hi,
I want to know what's purpose of computing ANOVA other than
calculating F-statistics? Also, what is two-way ANOVA process? |
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| Paige Miller... |
Posted: Tue Jul 01, 2008 6:05 am |
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Guest
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On Jul 1, 5:35 am, sagar <ariji... at (no spam) gmail.com> wrote:
Quote: Hi,
I want to know what's purpose of computing ANOVA other than
calculating F-statistics? Also, what is two-way ANOVA process?
ANOVA compares the means of two or more groups to see if there are
statistically significant differences.
A Two-Way ANOVA has two factors that vary, thus you compare the means
of the levels of Factor 1 and also compare the means of the levels of
Factor 2 (and you may want to compare the mean levels of interactions
between factor 1 and factor 2).
--
Paige Miller
paige\dot\miller \at\ kodak\dot\com |
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| Ken Butler... |
Posted: Tue Jul 01, 2008 1:20 pm |
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On Tue, 1 Jul 2008 09:05:20 -0700 (PDT), Paige Miller
<paige.miller at (no spam) kodak.com> wrote:
Quote: On Jul 1, 5:35Â am, sagar <ariji... at (no spam) gmail.com> wrote:
Hi,
I want to know what's purpose of computing ANOVA other than
calculating F-statistics? Also, what is two-way ANOVA process?
ANOVA compares the means of two or more groups to see if there are
statistically significant differences.
A Two-Way ANOVA has two factors that vary, thus you compare the means
of the levels of Factor 1 and also compare the means of the levels of
Factor 2 (and you may want to compare the mean levels of interactions
between factor 1 and factor 2).
Exactly.
I found ANOVA easier to understand if I thought about it in prediction
terms. Say you have Treatment 1, Treatment 2 and Control, and you have
some number of subjects in each group and measure a response. You can
ask "does knowing the group a subject comes from help you to predict
the response?" That is, does the response depend on which group a
subject is in.
Two-factor ANOVA is the same kind of thing: does knowing the group
combination help you to predict the response? It comes down to
comparing the means of the groups, as Paige said, but that's
equivalent to this "can you predict " idea.
Cheers,
Ken.
--
Ken Butler, Lecturer (Statistics)
University of Toronto at Scarborough
butler (at) utsc.utoronto.ca
http://www.utsc.utoronto.ca/~butler |
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| sagar... |
Posted: Tue Jul 01, 2008 7:02 pm |
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Guest
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On Jul 1, 11:20 pm, Ken Butler <but... at (no spam) utsc.utoronto.ca> wrote:
Quote: On Tue, 1 Jul 2008 09:05:20 -0700 (PDT), Paige Miller
paige.mil... at (no spam) kodak.com> wrote:
On Jul 1, 5:35 am, sagar <ariji... at (no spam) gmail.com> wrote:
Hi,
I want to know what's purpose of computing ANOVA other than
calculating F-statistics? Also, what is two-way ANOVA process?
ANOVA compares the means of two or more groups to see if there are
statistically significant differences.
A Two-Way ANOVA has two factors that vary, thus you compare the means
of the levels of Factor 1 and also compare the means of the levels of
Factor 2 (and you may want to compare the mean levels of interactions
between factor 1 and factor 2).
Exactly.
I found ANOVA easier to understand if I thought about it in prediction
terms. Say you have Treatment 1, Treatment 2 and Control, and you have
some number of subjects in each group and measure a response. You can
ask "does knowing the group a subject comes from help you to predict
the response?" That is, does the response depend on which group a
subject is in.
Two-factor ANOVA is the same kind of thing: does knowing the group
combination help you to predict the response? It comes down to
comparing the means of the groups, as Paige said, but that's
equivalent to this "can you predict " idea.
Cheers,
Ken.
--
Ken Butler, Lecturer (Statistics)
University of Toronto at Scarborough
butler (at) utsc.utoronto.cahttp://www.utsc.utoronto.ca/~butler
Tnks everybody for clear my doubts on ANOVA. But I think I need to
read more on ANOVA (both one-way & two-way) in order to get better
understanding on it. Could anybody refer me any book (otherthan Green
& Williamson)that will help me to get an indepth idea of ANOVA.
Regards.
Sagar |
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| Bruce Weaver... |
Posted: Wed Jul 02, 2008 1:24 am |
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| Paige Miller... |
Posted: Wed Jul 02, 2008 2:07 am |
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Guest
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On Jul 2, 1:02 am, sagar <ariji... at (no spam) gmail.com> wrote:
Quote: Tnks everybody for clear my doubts on ANOVA. But I think I need to
read more on ANOVA (both one-way & two-way) in order to get better
understanding on it. Could anybody refer me any book (otherthan Green
& Williamson)that will help me to get an indepth idea of ANOVA.
Regards.
Sagar
The classic text is Box, Hunter and Hunter, "Statistics for
Experimenters", John Wiley and Sons
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Paige Miller
paige\dot\miller \at\ kodak\dot\com |
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| Russell... |
Posted: Wed Jul 02, 2008 4:56 am |
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Guest
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On Jul 2, 1:02 am, sagar <ariji... at (no spam) gmail.com> wrote:
Quote: On Jul 1, 11:20 pm, Ken Butler <but... at (no spam) utsc.utoronto.ca> wrote:
On Tue, 1 Jul 2008 09:05:20 -0700 (PDT), Paige Miller
paige.mil... at (no spam) kodak.com> wrote:
On Jul 1, 5:35 am, sagar <ariji... at (no spam) gmail.com> wrote:
Hi,
I want to know what's purpose of computing ANOVA other than
calculating F-statistics? Also, what is two-way ANOVA process?
ANOVA compares the means of two or more groups to see if there are
statistically significant differences.
A Two-Way ANOVA has two factors that vary, thus you compare the means
of the levels of Factor 1 and also compare the means of the levels of
Factor 2 (and you may want to compare the mean levels of interactions
between factor 1 and factor 2).
Exactly.
I found ANOVA easier to understand if I thought about it in prediction
terms. Say you have Treatment 1, Treatment 2 and Control, and you have
some number of subjects in each group and measure a response. You can
ask "does knowing the group a subject comes from help you to predict
the response?" That is, does the response depend on which group a
subject is in.
Two-factor ANOVA is the same kind of thing: does knowing the group
combination help you to predict the response? It comes down to
comparing the means of the groups, as Paige said, but that's
equivalent to this "can you predict " idea.
Cheers,
Ken.
--
Ken Butler, Lecturer (Statistics)
University of Toronto at Scarborough
butler (at) utsc.utoronto.cahttp://www.utsc.utoronto.ca/~butler
Tnks everybody for clear my doubts on ANOVA. But I think I need to
read more on ANOVA (both one-way & two-way) in order to get better
understanding on it. Could anybody refer me any book (otherthan Green
& Williamson)that will help me to get an indepth idea of ANOVA.
Regards.
Sagar- Hide quoted text -
- Show quoted text -
I find books like _Probability and Statistics for
Engineering and the Sciences_ by Devore is better
"impedence matched" for my mind than some more
purely stat oriented texts. Maybe you're like me
in that respect, maybe you're not.
Cheers,
Russell |
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