Which of the non-parametric test for ordinal data is the best to use in the given scenario? An experiment was conducted to compare the strengths of two types of elastic bandages: one a standard bandage of a specified weight and the other the same standard but treated with a chemical substance. Ten pieces of each were randomly selected from production. Does the treated bandage tend to be stronger than the standard? Table 1. Strength measurements (and their ranks) for 2 types of bandages. STANDARD TREATED 1.21(2) 1.49(15) 1.43(12) 1.37(7.5) 1.35(6) 1.67(20) 1.51(17) 1.50(16) 1.39(9) 1.31(5) 1.17(1) 1.29(3.5) 1.48(14) 1.52(18) 1.42(11) 1.37(7.5) 1.29(3.5) 1.44(13) 1.4(10) 1.53(19) a. Mood median test b. sign test c. Wilcoxon rank-sum test d. Wilcoxon matched-pairs signed-ranks test e. Spearman and Kendall correlation coefficients f. Kruskal-Wallis test

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Which of the non-parametric test for ordinal data is the best to use in the given scenario?

An experiment was conducted to compare the strengths of two types of elastic bandages: one a standard bandage of a specified weight and the other the same standard but treated with a chemical substance. Ten pieces of each were randomly selected from production. Does the treated bandage tend to be stronger than the standard?

Table 1. Strength measurements (and their ranks) for 2 types of bandages.

STANDARD TREATED
1.21(2) 1.49(15)
1.43(12) 1.37(7.5)
1.35(6) 1.67(20)
1.51(17) 1.50(16)
1.39(9) 1.31(5)
1.17(1) 1.29(3.5)
1.48(14) 1.52(18)
1.42(11) 1.37(7.5)
1.29(3.5) 1.44(13)
1.4(10) 1.53(19)

a. Mood median test

b. sign test

c. Wilcoxon rank-sum test

d. Wilcoxon matched-pairs signed-ranks test

e. Spearman and Kendall correlation coefficients

f. Kruskal-Wallis test

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