2.14. REFERENCES 97
e MATLAB program for this goodness-of-fit test is:
% The goodness-of-fit test on the data in the Excel
% file “Example2.43.xls”
X=xlsread('Example2.44');
Q3=fitdist(X,'wbl')
h=chi2gof(X,'CDF',Q3)
After running the above MATLAB program, the result for “h” is 0. e hypothesis should
not be rejected. So, the material strength can also be properly described by a Weibull
distribution.
4. A normal distribution.
e hypothesis H
0
: the material strength follows a normal distribution.
e MATLAB program for this goodness-of-fit test is:
% the goodness-of-fit test on the data in the Excel
% file “Example2.43.xls”
X=xlsread('Example2.44');
Q4=fitdist(X,'norm')
h=chi2gof(X,'CDF',Q4)
After running the above MATLAB program, the result of “h” is 1. e hypothesis should
be rejected. So, the material strength cannot be properly described by a normal distribu-
tion.
2.14 REFERENCES
[1] Rao, S. S., Reliability Engineering, Pearson, 2015.
[2] Haugen, E. B., Probability Approach to Design, Wiley, New York, 1968.
[3] Schwarzlander, H., Probability Concepts and eory for Engineers, Wiley, 2011. DOI:
10.1002/9781119990895.
[4] Miller, I. and Freund, J. E., Probability and Statistics for Engineers, 3rd ed., Prentice Hall,
1985.
[5] Modarres, M., Kaminskiy, M., and Kirvtsov, V., Reliability Engineering and Risk Analysis:
A Practical Guide, 2nd ed., CRC Press, 2010. DOI: 10.1201/9781315382425.
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