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Comparing defectivity performance between two process

albiruni81

Community Trekker

Joined:

Jul 15, 2014

Hi All,

 

I am planning to evaluate a new process which is supposed have a better defectivity performance (semiconductor industry). The question that I have is lets say that my process failure is not repeatable during a certain runs of experiment. For example in my 100 wafers run, i have observed that the failure happens on the 20th and 50th wafer run. A repeat on another 100 wafers run the failure happen on the 10th, 31st and 70th wafers. In this situation how do I design my experiment in order to determine whether my new process does indeed improves the defectivity of my baseline process

 

Hope someone is able to help me on this

 

Rgrds

 

Irfan

8 REPLIES
Ted

Community Trekker

Joined:

Mar 29, 2016

It seems to me, that one of the possible ways is to compare the inverted (rises from bottom to top) Kaplan-Meier curves (which reflect the cumulative probability of failure). As a time variable (X-axis) the "conditional time" can be used (the unit of which is wafer).

albiruni81

Community Trekker

Joined:

Jul 15, 2014

Dear Medicc,

Are you able to direct me to the analysis option in JMP that is able to perform this cumulative probabillity?

Rgrds

Irfan
txnelson

Super User

Joined:

Jun 22, 2012

You can find the Kaplan-Meier reference in

     Help==Statistics Index

 

Jim
Ted

Community Trekker

Joined:

Mar 29, 2016

Create, and open in JMP data file with columns (name):

Time: just a sequence of numbers from 1 to 100

Censor: with code 0 and 1 (failure "YES" – 0 (sic!), failure "NO" - 1)

Grouping: with code 1, 2 etc (comparison groups)

Then:

Analyze->Reliability and Survival->Survival

and activate (tick): "Plot Failure Instead of Survival"

Sorry for brevity (because of my weak English) :)

albiruni81

Community Trekker

Joined:

Jul 15, 2014

Hi Med,

 

Here is the data that I have

 

ScreenHunter_11 Jun. 21 15.08.jpg

 

ScreenHunter_12 Jun. 21 15.08.jpg

 

Able to explain to me the explanation of the numbers shown from the analysis above

 

Rgrds

 

Irfan

Ted

Community Trekker

Joined:

Mar 29, 2016

These curves reflect the (cumulative) probability of the failure. So
a process that has better defectivity performance has a lower curve.
Also need to consider (but not fetishization) p-value. But all this applies
to the theory of statistics.

albiruni81

Community Trekker

Joined:

Jul 15, 2014

Hi Med,

 

Able to share with me what does the number stands for, is the alpha also set at 0.05?which means in this case we are not able to reject the null hypothesis that the two groups are the same?

 

Rgrds

 

Irfan

Ted

Community Trekker

Joined:

Mar 29, 2016

Irfan, your  alpha is 0.4138 (Log-Rank test). Since 0.4138 is greater than 0.05, we are not able to reject the null hypothesis that the two groups are the same. So formally! But this fact should not prevent you from stating that your (cumulate) plot lower (If it is so), and hence the process has a better defectivity performance. Generally speaking, getting a statistical significance difference is still quite difficult. But this is my subjective attitude (perhaps, experts here will find it possible to make their corrective comments).