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A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test statistic for this data. a. 0.647 b. 0.652 c. 0.955 d. 0.921

User Larme
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1 Answer

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here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Explanation:

x y rank of x rank of y d d²

18 2 1 1 0 0

21 14 4 4 0 0

19 5 2 2 0 0

21 6 4 3 1 1

20 18 3 5.5 -2.5 6.25

21 18 4 5.5 -1.5 2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

User Sidonie
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