Exclude rows option also hides rows from analysis in Fit Model, Life Distribution and Fit Life by X platforms

Question

Hi All,

I am trying to Exclude rows from analysis in Fit Model, Life Distribution and Fit Life by X platforms.

In all platforms mentioned above excluded row are also appear to be hidden in graphs, while in table these rows are only excluded.

Question: Why excluded rows are also become hidden in Fit Model, Life Distribution and Fit Life by X platforms?

For more details see screenshots below and attached JMP file.

Voltage acceleration at 85C.jmp

ptolomey · Answer

Hi peng_liu,

Sorry for delayed response, I saw your reply only recently.

In any case thank you for detailed explanation and attached examples.

I believe that interval format with right and left censored data is the best one see graphs below.

Graph with right and left censored data present points at probabilities where they are actually start contribute to fit.

Obtained parameters of fit are slightly differs between two variants, but no more than 1%.

interval format (rev 2).jmp

peng_liu · Answer

There are two extra things need attention here when we convert infant mortality and initial failures into right censored observations. If data only have failures and right censored observations, there are two formats:

The first is the Time-and-Censor-Indicator column format like the following. Most reliability platforms accept text values in the Censor column now. The zero-one coding, though, is still accepted by default.

The second is the Time-Interval column format like the following. Here platforms will expect two time columns Start and End, no indicator column any more, and figure out appropriate censoring types depending on the missing value patterns in the cells. Here, for example, the second row has a missing value in End, and that row indicates a right censored observation.

Now come back to this specific case, in which we want to mark infant mortality and initial failures as right censored. The data also has some "censored" observations already, which are actually "right censored" due to suspension. Therefore, we would like to mark all three types of observation right censored: infant mortality, initial failure, and originally right censored.

I attach both approaches to illustrate. First, the "time censor format.jmp". I keep "Time to Failure, h" untouched, but create a new column "Effective Censor" with this formula:

Then I use "Time to Failure, h" and "Effective Censor" as my time and censor indicator columns to analyze the data. The following is the screenshot of the comparison between "treating other modes right censored" and "excluding other modes". The scripts are in the table. The numbers are close, but I believe that we should treat other modes right censored here.

Now the other format: "interval format.jmp". The table defines "Start Period of Time, h" and "End Period of Time,h" as follows. This is "Start Period of Time, h"

And this is "Eng Period of Time, h"

Now I only use "Start Period of Time, h" and "End Period of Time,h"  for the analysis. And reports should replicate what are in the previous screenshot. The scripts are in the table.

Last, let me explain what are those dots in the Nonparametric Overlay. They are non-parametric estimates of failure distributions at different voltage levels. The estimates use included data points and are associated with them. A point is not drawn because (1) the corresponding observation is not included in the analysis, or (2) the at the time of the corresponding observation, the probability estimate cannot be determined. Reason (1) is what I explained earlier. For reason (2), see, for example, the first row in "time censor format.jmp", time = 0.001, infant mortality = 1. We treat it as right censored. And we don't see any dots around 0.001 in the corresponding plot. Because we cannot put a definite probability estimate at time = 0.001. All we can tell is that the probability associated to Voltage=51 at time=0.001 should be smaller than the lowest point of the green dots, which is around 0.02.

time censor format.jmp

interval format.jmp

ptolomey · Answer

Dear peng_liu,

Thank you for reply.

What I am trying to do is make Inverse Power model from voltage accelerated tests.

For this purpose I am using Regression model with Log-Logistic distribution via Fit Life by X or Parametric Survival Fit model platforms in JMP. From Fit Life by X report I get power η specified in Inverse Power model equation above.

The problem is that fitting is poor when infant and initial failures are not excluded from model (see Figure 1 below).

As result it can be seen from Figure 2 that:

* values of η and σ are significantly differ between Inverse Power models estimated with and w/o initial failures
* Fitting with initial failures is poorly predicts Inverse Power model (see Cox-Snell Residual P-P Plot)

What I am trying to do is

* fit Inverse Power model model w/o infant mortality and initial failures
* and in same time keep showing infant mortality and initial failures on Fit Life by X graph

Note: The infant mortality (asterisk) and initial failures (rhomb) in left graph of Figure 1 are right-censored in JMP table

Figure 1

Figure 2

Voltage acceleration.jmp