{"id":16741,"date":"2016-11-18T07:43:01","date_gmt":"2016-11-18T07:43:01","guid":{"rendered":"http:\/\/www.safetyangel.com\/recdev\/?page_id=16741"},"modified":"2016-11-18T07:48:33","modified_gmt":"2016-11-18T07:48:33","slug":"weibull-example-8-non-parametric-recurrent-event-data-analysis","status":"publish","type":"page","link":"http:\/\/www.safetyangel.com\/recdev\/weibull-example-8-non-parametric-recurrent-event-data-analysis\/","title":{"rendered":"Weibull++ Example 8 – Non-Parametric Recurrent Event Data Analysis"},"content":{"rendered":"
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Weibull++ Example 8 - Non-Parametric Recurrent Event Data Analysis<\/h2><\/div><\/div><\/div><\/div><\/div>
<\/div><\/div>
<\/div>
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Examples provided here are purely for illustrating software features and functionality.<\/span><\/h3>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div>
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Weibull++ Example 8 – Non-Parametric Recurrent Event Data Analysis<\/span><\/h3>\n

Download Example File for Version 10 (*.rsgz10)<\/a> or Version 9 (*.rsr9)<\/a><\/b><\/p>\n

Background<\/span><\/h3>\n

Repairs are tracked on automatic transmissions in a sample of 34 cars in a preproduction road test. The objective is to determine the mean cumulative number of repairs per car by 24,000 test miles (equivalently 5.5 x 24,000 = 132,000 customer miles).<\/p>\n

Experiment and Data<\/span><\/h3>\n

(The data for this example appears on page 4 in Recurrent Events Data Analysis for Products Repairs, Disease Recurrences, and Other Applications<\/i>, by Wayne B. Nelson, 2003.)<\/p>\n

The data set shown in the following table consists of each car\u2019s ID, its test mileage at each transmission repair and its latest observed mileage (marked with a +). The test was accelerated by a factor of 5.5.<\/p>\n<\/div>

\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Car ID<\/b><\/td>\nMileage (+ latest)<\/b><\/td>\n<\/tr>\n
24<\/td>\n7068<\/td>\n26744+<\/td>\n<\/td>\n<\/tr>\n
26<\/td>\n28<\/td>\n13809+<\/td>\n<\/td>\n<\/tr>\n
27<\/td>\n48<\/td>\n1440<\/td>\n29834+<\/td>\n<\/tr>\n
29<\/td>\n530<\/td>\n25660+<\/td>\n<\/td>\n<\/tr>\n
31<\/td>\n21762+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
32<\/td>\n14235+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
34<\/td>\n1388<\/td>\n21133+<\/td>\n<\/td>\n<\/tr>\n
35<\/td>\n21401+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
98<\/td>\n21876+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
107<\/td>\n5094<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
108<\/td>\n21691+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
109<\/td>\n20890+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
110<\/td>\n22486+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
111<\/td>\n19321+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
112<\/td>\n21585+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
113<\/td>\n18676+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
114<\/td>\n23520+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
115<\/td>\n17955+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
116<\/td>\n19507+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
117<\/td>\n24177+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
118<\/td>\n22854+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
119<\/td>\n17844+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
120<\/td>\n22637+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
121<\/td>\n375<\/td>\n19607+<\/td>\n<\/td>\n<\/tr>\n
122<\/td>\n19403+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
123<\/td>\n20997+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
124<\/td>\n19175+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
125<\/td>\n20425+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
126<\/td>\n22149+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
129<\/td>\n21144+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
130<\/td>\n21237+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
131<\/td>\n14281+<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
132<\/td>\n8250<\/td>\n21974+<\/td>\n<\/td>\n<\/tr>\n
133<\/td>\n19250<\/td>\n21888+<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div><\/div>
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Analysis<\/span><\/h3>\n

Step 1:<\/b> Add a non-parametric recurrent event data analysis (RDA) folio to an existing project by choosing Insert > Folios > Non-Parametric RDA<\/strong>.<\/p>\n

Step 2:<\/b> For each car, enter the mileage for the transmission repairs (F) and the latest observed mileage (E) into the data sheet, as shown next.<\/p>\n<\/div>

\"\"\/<\/div><\/div>
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Figure 1: Non-parametric RDA folio with data entered.<\/p>\n<\/div>

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Figure 2: Non-parametric RDA results.<\/p>\n<\/div>

Step 4:<\/b> Plot the mean cumulative function on the plot sheet. From the plot, it can be estimated that the mean cumulative number of repairs per car by 24,000 test miles is 0.3 (represented on the y-axis), as shown next.<\/div>
\"\"\/<\/div><\/div>
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Figure 3: Mean Cumulative Function plot.<\/p>\n<\/div><\/div>

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