Parida (1991) gives data from a load-controlled high-cycle fatigue test conducted on 130 chain links. The 130 links were selected randomly from a population of different heats used to manufacture the links. Each link was tested until failure or until it has run for 80 thousand cycles, which ever came first. There were 10 failures – each reported at 33, 46, 50, 56, 62, 71, 74, and 75 thousand cycles and 2 reported at 78 thousand cycles. The other 120 links had not failed by 80 thousand cycles.Compute the nonparametric estimate of and corresponding standard errors.Compute a set of pointwise approximate 90% confidence interval for. Explain the proper interpretation of these intervals.The original paper reported that tested units had been selected from a random sample of heats. What might have happened in the experiment if all of the sample links had been selected from just one or two heats?

Answered: Parida (1991) gives data from a…

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Author:Amos Gilat

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Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Parida (1991) gives data from a load-controlled high-cycle fatigue test conducted on 130 chain links. The 130 links were selected randomly from a population of different heats used to manufacture the links. Each link was tested until failure or until it has run for 80 thousand cycles, which ever came first. There were 10 failures – each reported at 33, 46, 50, 56, 62, 71, 74, and 75 thousand cycles and 2 reported at 78 thousand cycles. The other 120 links had not failed by 80 thousand cycles.

Compute the nonparametric estimate of and corresponding standard errors.
Compute a set of pointwise approximate 90% confidence interval for. Explain the proper interpretation of these intervals.
The original paper reported that tested units had been selected from a random sample of heats. What might have happened in the experiment if all of the sample links had been selected from just one or two heats?

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