[ Exercise 12 ]
- It is a fact that engineers select an appropriate variable
and the transformed observations are treated as though they are normally
distributed with a constant variance.
- Those methods neither require previous knowledge of
how the variables are distributed nor are the censored data stipulated
to be available.
- The procedure for analyzing singly censored data in
a replicated experiment is as follows:
S tep 1: Distinguish the experimental results as the uncensored (complete)
data and the censored (incomplete) data.
Step 2: The relationship between the two values must be found by performing
Step 3: Estimate the two variables.
Step 4: The estimated censored data must be ranked.
Step 5: Find the regression models for response avaerage and standard
deviation for each trial.
Step 6: The factors that significantly affect the response average and
standard deviation must be identified.
Step 7: The optimal factor/level combination must be determined.
- The derived model provides an extension of an earlier
concept  and helping industrial managers in determining a feasible
number of replenishments.
- Experimental design is used in this method to arrange
the design parameters and noise factors in the orthogonal arrays and
computing the signal-to-noise (SN) ratio based on the quality loss for
each experimental combination.
- The relative importance of each response can be transformed
into a fuzzy number through means of the establishment of a formal scale
system that can be used to convert linguistic terms into their corresponding
fuzzy numbers and to express the relative importance of each response
by the linguistic term.
- The Taguchi approach provides a combination of experimental
design techniques with quality loss considerations and that the average
quadratic loss is minimized.
- The conventional approach happens to be cumbersome,
complicated and wastes too much time.
- The two-step procedure not only identifies those factors
that significantly affect the signal-to-noise (SN) ratio, but also the
levels that maximize SN are found.
- Logethetis (1988) proved that strong non-linearities
exist and the B technique was also recommended for use by him.
- This work not only proposes an effective procedure
based on the rank transformation of responses and regression analysis,
but also the singly censored data are discussed.
- The following steps describe the procedure:
Step 1: Calculate the normalized decision matrix.
Step 2: The weighted normalized decision matrix is calculated.
Step 3: The ideal and negative-ideal solution is determined.
Step 4: Calculate the separation measures.
Step 5: The relative closeness to the ideal solution is calculated.
Step 6: The preference order is ranked.
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