Implications and inference
نویسندگان
چکیده
The process capability index Cpk has been widely used in the manufacturing industry to provide numerical measures on process performance. Since Cpk is a yield-based index which is independent of the target T, it fails to account for process centering with symmetric tolerances, and presents an even greater problem with asymmetric tolerances. Pearn and Chen (1998) considered a new generalization C00 pk which was shown to be superior to other existing generalizations of Cpk for processes with asymmetric tolerances. In this paper, we investigate the relation between the fraction nonconforming and the value of C00 pk. Furthermore, we derive explicit forms of the cumulative distribution function and the probability density function for the natural estimator Ĉ00 pk, under the assumption of normality. We also develop a decision making rule based on the natural estimator Ĉ00 pk, which can be used to test whether the process is capable or not.
منابع مشابه
Double Fuzzy Implications-Based Restriction Inference Algorithm
The main condition of the differently implicational inferencealgorithm is reconsidered from a contrary direction, which motivatesa new fuzzy inference strategy, called the double fuzzyimplications-based restriction inference algorithm. New restrictioninference principle is proposed, which improves the principle of thefull implication restriction inference algorithm. Furthermore,focusing on the ...
متن کاملInterpreting the Validity of a High-Stakes Test in Light of the Argument-Based Framework: Implications for Test Improvement
The validity of large-scale assessments may be compromised, partly due to their content inappropriateness or construct underrepresentation. Few validity studies have focused on such assessments within an argument-based framework. This study analyzed the domain description and evaluation inference of the Ph.D. Entrance Exam of ELT (PEEE) sat by Ph.D. examinees (n = 999) in 2014 in Iran....
متن کاملApplication of Rumi\'s Educational Implications and Critical Theorists
Purpose: This study aims to investigate and analyze the application of Rumi's educational implications and critical theorists. Methodology: The research community consisted of published sources in the fields of Rumi's educational ideas and critical theorists. Data collection has continued until data adequacy is achieved. The method of data analysis was descriptive-analytical. In this method, t...
متن کاملEstablishing Propositional Relations in Reading Stories
This study examined the establishment of coherence relations by Persian EFL learners in their reading of stories. 201 undergraduate EFL learners read narrative passages and selected appropriate coherence elements of different types necessary for the proper construction of meaning. The results demonstrated a consistent pattern of a text-specific hierarchy for the comprehension of conjunctive rel...
متن کاملBandler-Kohout Subproduct with Yager's Classes of Fuzzy Implications
The Bandler–Kohout Subproduct (BKS) inference mechanism is one of the two established fuzzy relational inference (FRI) mechanisms, the other being Zadeh’s Compositional Rule of Inference (CRI). Both these FRIs are known to possess many desirable properties. It can be seen that many of these desirable properties are due to the rich underlying structure, viz., the residuated algebra, from which t...
متن کاملAn Inference System for Exhaustive Generation of Mixed and Purely Negative Implications from Purely Positive Ones
The objective of this article is to study the problem of generating implications with negation when only a set of purely positive implications related to a formal context K = (G,M, I) is provided. To that end, we define a sound and complete inference system which includes a characterization of implications whose left-hand side is a key in the context K|K̃ representing the apposition of the conte...
متن کامل