[ Exercise 12 ]

1. It is a fact that engineers select an appropriate variable and treat the transformed observations as though they are normally distributed with a constant variance.
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2. Those methods neither require previous knowledge of how the variables are distributed nor stipulate availability of the censored data.
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3. The procedure for analyzing singly censored data in a replicated experiment is as follows:
   Step 1: Distinguish the experimental results as the uncensored (complete) data and the censored (incomplete) data.
   Step 2: Find the relationship between the two values by performing regression analysis.
   Step 3: Estimate the two variables.
   Step 4: Rank the estimated censored data.
   Step 5: Find the regression models for response average and standard deviation for each trial.
   Step 6: Identify the factors that significantly affect the response average and standard deviation.
   Step 7: Determine the optimal factor/level combination.
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4. The derived model extends an earlier concept [1] and helps industrial managers in determining a feasible number of replenishments.
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5. Experimental design is used in this method to arrange the design parameters and noise factors in the orthogonal arrays and to compute the signal-to-noise (SN) ratio based on the quality loss for each experimental combination.
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6. The relative importance of each response can be transformed into a fuzzy number through means of establishing a formal scale system that can convert linguistic terms into their corresponding fuzzy numbers and expressing the relative importance of each response by the linguistic term.
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7. The Taguchi combines experimental design techniques with quality loss considerations and minimizes the average quadratic loss.
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8. The conventional approach happens to be cumbersome, complicated and time consuming.
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9. The two-step procedure not only identifies those factors that significantly affect the signal-to-noise (SN) ratio, but also finds the levels that maximize SN.
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10. Logethetis (1988) proved that strong non-linearities exist and also recommended using the B technique.
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11. This work not only proposes an effective procedure based on the rank transformation of responses and regression analysis, but also discusses the singly censored data.
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12. The following steps describe the procedure:
    Step 1: Calculate the normalized decision matrix.
    Step 2: Calculate the weighted normalized decision matrix.
    Step 3: Determine the ideal and negative-ideal solution.
    Step 4: Calculate the separation measures.
    Step 5: Calculate the relative closeness to the ideal solution.
    Step 6: Rank the preference order.
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