P_pk

_{From the Half a dozen Sigma quality strategy, processes efficiency is actually stated into providers given that an excellent sigma height. The better brand new sigma peak, the better the process is performing.}

_{Another way to report process capability and process performance is through the statistical measurements of Cp, Cpk, Pp, and} . This article will present definitions, interpretations and calculations for C_pk and though the use of forum quotations. Thanks to everyone below that helped contributed to this excellent reference.

A simple and easy easy signal out of process abilities

Definitions C_p= Process Capability. C_pk= Process Capability Index. Adjustment of C_p for the effect of non-centered distribution. P_p= Process Performance. A simple and straightforward indicator of process performance. = Process Performance Index. Adjustment of P_p for the effect of non-centered distribution.

Interpreting C_p, C_pk “C_pk is an index (a simple number) which measures how close a process is running to its specification limits, relative to the natural variability of the process. The larger the index, the less likely it is that any item will be outside the specs.” Neil Polhemus

“If you hunt our shoot targets with bow, darts, or gun try this analogy. If your shots are falling in the same spot forming a good group this is a high C_p, and when the sighting is adjusted so this tight group of shots is landing on the bullseye, you now have a high C_pk.” Tommy

“C_pk measures how close you are to your target and how consistent you are to around your average performance. A person may be performing with minimum variation, but he can be away from his target towards one of the specification limit, which indicates lower C_pk, whereas C_p will be high. On the other hand, a person may be on average exactly at the target, but the variation in performance is high (but still lower than the tolerance band (i.e., specification interval). In such case also C_pk will be lower, but C_p will be high. C_pk will be higher only when you r meeting the target consistently with minimum variation.” Ajit

“Consider a car and a garage. The garage defines the specification limits; the car defines the output of the process. If the car is only a little bit smaller than the garage, you had better park it right in the middle of the garage (center of the specification) if you want to get all of the car in the garage. If the car is wider than the garage, it does not matter if you have it centered; it will not fit. If the car is a lot smaller than the garage (Six Sigma process), it doesnt matter if you park it exactly in the middle; it will fit and you have plenty of room on either side. If you have a process that is in control and with little variation, you should be able to park the car easily within the garage and thus meet customer requirements. C_pk tells you the relationship between the size of the car, the size of the garage and how far away from the middle of the garage you parked the car.” Ben

“The value itself can be thought of as the amount the process (car) can widen before hitting the nearest spec limit (garage door edge).C_pk =1/2 means youve crunched nearest the door edge (ouch!)C_pk =1 means youre just touching the nearest edgeC_pk =2 means your width can grow 2 times before touchingC_pk =3 means your width can grow 3 times before touching” Larry Seibel

Interpreting Pp, Ppk “Processes Efficiency Directory generally attempts to make sure whether your shot you to definitely you have got made regarding the processes is actually capable to satisfy Buyers CTQs (requirements). They is different from Process Features in that Processes Show just applies in order to a certain batch out-of point. Samples about batch may need to feel slightly large so you’re able to getting user of type regarding the group. Processes Overall performance is just put when process control can not be evaluated. An example of this will be having a preliminary pre-creation run. Techniques Overall performance essentially spends test sigma with its formula; Procedure possibilities spends the procedure sigma worthy of calculated out-of sometimes the brand new Moving Diversity, Range otherwise Sigma manage maps.” Praneet