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Article #860

factorial design: Resolution?

#860
From: anthony.r.rizzo
Date: Tue, 12 Jan 1993 17:27
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I'm sure that this is a trivial question for most of you.
But the answer isn't obvious to me.  So, here goes:

I'm doing a factorial experiment, 6 variables at two settings.
The variables are qualitative, not quantitative.
According to Box, Hunter, and Hunter, this is a 2^(6-1) half fraction,
because I'm using 32 runs (on a computer).  I've assigned
the 6th variable to the column for the 12345 interaction.
Does this make it a resolution VI design?  The generator
is:         I = 1 2 3 4 5 6  

so that     6 = 1 2 3 4 5
            1 = 2 3 4 5 6
            2 = 1 3 4 5 6
            3 = 1 2 4 5 6
            4 = 1 2 3 5 6
       and  5 = 1 2 3 4 6

Box, Hunter, and Hunter says that "In general, the RESOLUTION of a
two-level fractional design is the length of the shortest
word in the defining relation."  Am I interpreting matters correctly?

Tony Rizzo (att.com!hogpb!rizzo)
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From: rizzo@cbnewsf.cb.att.com (anthony.r.rizzo)
Newsgroups: sci.math.stat
Subject: factorial design:  Resolution?
Message-ID: <1993Jan12.172726.7582@cbfsb.cb.att.com>
Date: 12 Jan 93 17:27:26 GMT
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