A Case Study in Competing Risk

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Presentation transcript:

A Case Study in Competing Risk Reliability Analysis Using JMP Software Bradley Jones SAS Institute, Inc.

Outline Overview of Reliability (Survival) Analysis in JMP 4.0 A JMP Script - Competing Causes GUI Analysis of some pseudo-data Analysis of Process data

Overview of Reliability Analysis in JMP 4.0 JMP Starter Window

Univariate Survival Launch Dialog

Default Analysis

Default Analysis cont.

Options Menu Choice...

…and Results

Scripting Options Choice...

Submitting the script above reproduces the analysis. …and Results Submitting the script above reproduces the analysis.

A JMP Script - Competing Causes GUI

Script // Competing Causes Interactive Survival Plot x=1; y=1; shape1 = 2.4; scale1 = log10(46); shape2 = 0.6; scale2 = log10(60); survival = expr((1-Weibull Distribution(x, shape1, 10^scale1, 0))*(1-Weibull Distribution(x, shape2, 10^scale2, 0))); gBox = Graph Box(FrameSize(500,300),Double Buffer, XScale(0,200),yScale(0,1), pen color("green");pen size(3); YFunction(survival,x), pen color("blue");pen size(1); YFunction(1-Weibull Distribution(x, shape1, 10^scale1, 0),x), pen color("red");pen size(1); YFunction(1-Weibull Distribution(x, shape2, 10^scale2, 0),x)); plot = gBox[FrameBox(1)]; NewWindow("Competing Causes Survival Function", v list box (gBox, h list box (textbox(" Scale (Blue) "), slider box (0,4, scale1,plot<<reshow()), textbox(" Shape (Blue) "), slider box (0.1,3, shape1,plot<<reshow())), h list box (textbox(" Scale (Red) "), slider box (0,4, scale2,plot<<reshow()), textbox(" Shape (Red) "), slider box (0.1,3, shape2,plot<<reshow())) ) );

Analysis of some pseudo-data

Column Formulae

Analysis of Process data

Top Failure Modes

Competing Causes Fitted Survival

Omitting Causes