# Non Parametric RDA MCF Example

This example appears in the Non-Parametric Recurrent Event Data Analysis article.

A health care company maintains five identical pieces of equipment used by a hospital. When a piece of equipment fails, the company sends a crew to repair it. The following table gives the failure and censoring ages for each machine, where the + sign indicates a censoring age.

Estimate the MCF values, with 95% confidence bounds.

Solution

The MCF estimates are obtained as follows:

Using the MCF variance equation, the following table of variance values can be obtained:

ID Months State
1 5 F 5
2 6 F 5
1 10 F 5
3 12 F 5
2 13 F 5
4 13 F 5
1 15 F 5
4 15 F 5
5 16 F 5
2 17 F 5
1 17 S 4
2 19 S 3
3 20 F 3
5 22 F 3
4 24 S 2
3 25 F 2
5 25 F 2
3 26 S 1
5 28 S 0

Using the equation for the MCF bounds and for a 95% confidence level, the confidence bounds can be obtained as follows:

The analysis presented in this example can be performed automatically in Weibull++'s non-parametric RDA folio, as shown next.

Note: In the folio above, the refers to failures and refers to suspensions (or censoring ages). The results, with calculated MCF values and upper and lower 95% confidence limits, are shown next along with the graphical plot.