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Disclaimers
ReliaWiki.org does not endorse or make any representations about the companies, products or services mentioned in third-party announcements. They are provided solely as a convenience to the reliability community.  
ctor on the response depends on the level of the other factor(s).}
One-factor-at-a-time experiments (where each factor is investigated
separately by keeping all the remaining factors constant) do not reveal the
interaction effects between the factors. Further, in one-factor-at-a-time
experiments full randomization is not possible.


To illustrate factorial experiments consider an experiment where the
response is investigated for two factors, $A$ and $B$. Assume that the
response is studied at two levels of factor $A$ with $A_{%
\text{low}}$ representing the lower level of $A$ and $A_{\text{high}}$
representing the higher level of $A$. Similarly, let $B_{\text{low}}$\ and $%
B_{\text{high}}$ represent the two levels of factor $B$ that are being
investigated in this experiment. Since there are two factors with two
levels, a total of $2\times 2=4$ combinations exist ($A_{\text{low}}$-$B_{%
\text{low}}$, $\ A_{\text{low}}$-$B_{\text{high}}$, $A_{\text{high}}$-$B_{%
\text{low}}$, $\ A_{\text{high}}$-$B_{\text{high}}$). Thus, four runs are
required for each replicate if a factorial experiment is to be carried out
in this case. Assume that the response values for each of these four
possible combinations are obtained as shown in Table 6.3.\FRAME{dtbpFU}{%
2.2762in}{1.2246in}{0pt}{\Qcb{Table 6.3: Two-factor factorial experiment.}}{%
}{Figure}{\special{language "Scientific Word";type
"GRAPHIC";maintain-aspect-ratio TRUE;display "USEDEF";valid_file "T";width
2.2762in;height 1.2246in;depth 0pt;original-width 3.2119in;original-height
1.7097in;cropleft "0";croptop "1";cropright "1";cropbottom "0";tempfilename
'Ch6TwoFactExTable1.wmf';tempfile-properties "XNPR";}}


\subsection{Investigating Factor Effects}
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The effect of factor $A$ on the response can be obtained by taking the
 
difference between the average response when $A$ is high and the average
HBM Prenscia does not and cannot warrant the accuracy and completeness of the materials at this site. The materials at this site may be out of date and HBM Prenscia makes no commitment to update the materials at this site.
response when $A$ is low. The change in the response due to a change in the
 
level of a factor is called the \emph{main effect} of the factor%
 
\index{Main effect}. The main effect of $A$ as per the response values in
IN NO EVENT WILL HBM PRENSCIA, ITS SUPPLIERS, OR OTHER THIRD PARTIES MENTIONED AT THIS SITE BE LIABLE FOR ANY DAMAGES WHATSOEVER (INCLUDING, WITHOUT LIMITATION, THOSE RESULTING FROM LOST PROFITS, LOST DATA OR BUSINESS INTERRUPTION) ARISING OUT OF THE USE, INABILITY TO USE, OR THE RESULTS OF USE OF THIS SITE, ANY WEB SITES LINKED TO THIS SITE, OR THE MATERIALS OR INFORMATION CONTAINED AT ANY OR ALL SUCH SITES, WHETHER BASED ON WARRANTY, CONTRACT, TORT OR ANY OTHER LEGAL THEORY AND WHETHER OR NOT ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. IF YOUR USE OF THE MATERIALS OR INFORMATION FROM THIS SITE RESULTS IN THE NEED FOR SERVICING, REPAIR OR CORRECTION OF EQUIPMENT OR DATA, YOU ASSUME ALL COSTS THEREOF. APPLICABLE LAW MAY NOT ALLOW THE EXCLUSION OR LIMITATION OF INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO THE ABOVE LIMITATION OR EXCLUSION MAY NOT APPLY TO YOU.
Table 6.3 is:%
 
\begin{eqnarray*}
{{ReliaSoft Footer}}
A &=&Average%
\text{ }response\text{ }at\text{ }A_{\text{high}}-Average\text{ }response%
\text{ }at\text{ }A_{\text{low}} \\

Revision as of 22:10, 22 November 2019

ReliaWiki.org does not endorse or make any representations about the companies, products or services mentioned in third-party announcements. They are provided solely as a convenience to the reliability community.


ALL MATERIALS PROVIDED ON THIS SITE ARE PROVIDED "AS IS" WITHOUT ANY WARRANTIES OF ANY KIND INCLUDING WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT OF INTELLECTUAL PROPERTY.


HBM Prenscia does not and cannot warrant the accuracy and completeness of the materials at this site. The materials at this site may be out of date and HBM Prenscia makes no commitment to update the materials at this site.


IN NO EVENT WILL HBM PRENSCIA, ITS SUPPLIERS, OR OTHER THIRD PARTIES MENTIONED AT THIS SITE BE LIABLE FOR ANY DAMAGES WHATSOEVER (INCLUDING, WITHOUT LIMITATION, THOSE RESULTING FROM LOST PROFITS, LOST DATA OR BUSINESS INTERRUPTION) ARISING OUT OF THE USE, INABILITY TO USE, OR THE RESULTS OF USE OF THIS SITE, ANY WEB SITES LINKED TO THIS SITE, OR THE MATERIALS OR INFORMATION CONTAINED AT ANY OR ALL SUCH SITES, WHETHER BASED ON WARRANTY, CONTRACT, TORT OR ANY OTHER LEGAL THEORY AND WHETHER OR NOT ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. IF YOUR USE OF THE MATERIALS OR INFORMATION FROM THIS SITE RESULTS IN THE NEED FOR SERVICING, REPAIR OR CORRECTION OF EQUIPMENT OR DATA, YOU ASSUME ALL COSTS THEREOF. APPLICABLE LAW MAY NOT ALLOW THE EXCLUSION OR LIMITATION OF INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO THE ABOVE LIMITATION OR EXCLUSION MAY NOT APPLY TO YOU.

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