Power and sample size evaluation for the Cochran-Mantel-Haenszel mean score (Wilcoxon rank sum) test and the Cochran-Armitage test for trend

2011 ◽  
Vol 30 (25) ◽  
pp. 3057-3066 ◽  
Author(s):  
John M. Lachin
Keyword(s):  
Sample Size ◽  
Wilcoxon Rank Sum Test ◽  
Size Evaluation

One method for sample size evaluation

1989 ◽  
Vol 29 (5) ◽  
pp. 691-693 ◽  
Author(s):  
D.M. Brkić
Keyword(s):  
Sample Size ◽  
Size Evaluation

scholarly journals Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test

Materials ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 126 ◽  
Author(s):  
Yongxin Yang ◽  
Weijie Li ◽  
Wenshui Tang ◽  
Biao Li ◽  
Dengfeng Zhang
Keyword(s):  
Weibull Distribution ◽  
Sample Size ◽  
Normal Distribution ◽  
Fiber Reinforced Polymer ◽  
Sample Sizes ◽  
Frp Composites ◽  
Reinforced Polymer ◽  
Size Evaluation ◽  
Sample Coefficient Of Variation ◽  
Current Guidelines

Current guidelines stipulate a sample size of five for a tensile coupon test of fiber reinforced polymer (FRP) composites based on the assumption of a normal distribution and a sample coefficient of variation (COV) of 0.058. Increasing studies have validated that a Weibull distribution is more appropriate in characterizing the tensile properties of FRP. However, few efforts have been devoted to sample size evaluation based on a Weibull distribution. It is not clear if the Weibull distribution will result in a more conservative sample size value. In addition, the COV of FRP’s properties can vary from 5% to 15% in practice. In this study, the sample size based on a two-parameter Weibull distribution is compared with that based on a normal distribution. It is revealed that the Weibull distribution results in almost the same sample size as the normal distribution, which means that the sample size based on a normal distribution is applicable. For coupons with COVs varying from 0.05 to 0.20, the sample sizes range from less than 10 to more than 60. The use of only five coupons will lead to a prediction error of material property between 6.2% and 24.8% for COVs varying from 0.05 to 0.20.

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