How the OC curve is used in acceptance sampling?
How the OC curve is used in acceptance sampling?
The OC (Operating Characteristics) Curve shows how well the acceptance sampling plan works, that is, it shows the probability of accepting lots coming in with various amount of defective items. The use of sampling plans involves risks to the buyer and seller.
What is OC curve used for?
The operating characteristic (OC) curve is the primary tool in lot acceptance sampling plans (LASP). They allow data from a sample to be used to draw conclusions about the lot as a whole with defined risks.
What does OC curve reveal?
The operating characteristic (OC) curve depicts the discriminatory power of an acceptance sampling plan. The OC curve plots the probabilities of accepting a lot versus the fraction defective.
How do you calculate double sampling plan?
The general formula for an average sample number curve of a double-sampling plan with complete inspection of the second sample is \mbox{ASN} = n_1 P_1 + (n_1 + n_2)(1-P_1) = n_1 + n_2(1-P_1) \, . where P_1 is the probability of a decision on the first sample. The graph below shows a plot of the ASN versus p’.
What distribution is used to determine the OC curve for an attributes sampling plan?
Effect of N, n, and c on the OC curve The Hypergeometric distribution is used to calculate the probability of acceptance for any plan (N, n, c) whereas the Binomial distribution is used for any plan (n, c).
Which is the indifferent quality region in OC curve?
Indifference Quality Level (IQL) Quality level is somewhere between AQL and RQL. This is frequently defined as quality level having probability of acceptance of 0.5 for a sampling plan. An OC curve describes the probability of acceptance for various values of incoming quality.
What is Double sampling Plan explain the OC curve of double sampling plan?
A sampling plan in which a decision about the acceptance or rejection of a lot is based on two samples that have been inspected is known as a double sampling plan. The double sampling plan is used when a clear decision about acceptance or rejection of a lot cannot be taken on the basis of a single sample.
How to design a sampling plan with a specified OC curve?
In order to design a sampling plan with a specified OC curve one needs two designated points. Let us design a sampling plan such that the probability of acceptance is (1-alpha) for lots with fraction defective (p_1) and the probability of acceptance is (beta) for lots with fraction defective (p_2).
What is the OCR curve of acceptance sampling?
O.C. curve of an acceptance sampling plan (i.e. for a particular combination of n and C) shows how well the sampling plan discriminates between good and bad lots. In order to examine the suitability of an acceptance sampling plan, it is necessary to compare their performance over a range of possible quality levels of the product.
What is an OCC curve in statistics?
Introduction to O.C. Curves: O.C. curves quantifies manufacturer’s (producer’s) risk and consumer’s (purchaser’s) risk. This is a graph of the percentage defective in a lot versus the probability that the sampling plan will accept a lot. An O.C. Curve drawn for sampling plan of n = 300 and C = 10 at Fig. 60.1 indicates the following:
Is there an OC curve for lots with more than 3% defectives?
In this curve, all lots with less than 3% defectives have a probability of acceptance of 100%, while all lots with more than 3% defectives have a probability of acceptance as 0%. However such a plan does not exist in reality. Graph 60.3 is an OC curve for a sampling plan with n = 50 and C = 1.
