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Industrial Statistics with Minitab by Xavier Tort-Martorell Llabres, Lluis Marco Almagro, Pere Grima Cintas

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29.2 Nonparametric Analysis

In the nonparametric analysis, the reliability and risk functions are empirical, calculated from the data, without any assumption about the probability distribution of the data.

Stat > Reliability/Survival > Distribution Analysis (Right Censoring) > Nonparametric Distribution Analysis

nc29uf003.eps
nc29uf004.eps

29.2.1 Graphs

nc29uf004.eps

The output in the Minitab session window looks as follows:

nc29uf006.eps

Without specifying any model, that is, using a nonparametric analysis, what is the reliability after 40 000 functioning hours? In the previous table, take a look at the row corresponding to 36 863 hours (displayed in bold). The next failure was produced at 43 403 hours; thus, the units still in function after 40 000 hours are the same that were working after 36 863 hours. Therefore, the reliability value at 40 000 hours is equal to 0.575.

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