Question

the sum of the difference of rank is​
a.1
b.-1
c. 0
d.none​

Answer 1

Step-by-step explanation:

none is the correct answer.

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Answer 2

Answer:The Spearman’s Correlation Coefficient, represented by ρ or by rR, is a nonparametric measure of the strength and direction of the association that exists between two ranked variables. It determines the degree to which a relationship is monotonic, i.e., whether there is a monotonic component of the association between two continuous or ordered variables. Monotonicity is “less restrictive” than that of a linear relationship. Although monotonicity is not actually a requirement of Spearman’s correlation, it will not be meaningful to pursue Spearman’s correlation to determine the strength and direction of a monotonic relationship if we already know the relationship between the two variables is not monotonic.

Step-by-step explanation:

Step:1

$\begin{aligned}& P=1-6 \frac{\sum d^2}{n\left(n^2-1\right)} \\& 0.6=1-\frac{6 \times 66}{n\left(n^2-1\right)} \\& \frac{6 \times 66}{n\left(n^2-1\right)}=0.4 \\& n\left(n^2-1\right)=\frac{3}{2} \times 66 \times 10=990 \\& n=10 \\& 10\left(10^2-1\right)=10(99)=990\end{aligned}$

Step:2We must rank the data under consideration before proceeding with the Spearman’s Rank Correlation evaluation. This is necessary because we need to compare whether on increasing one variable, the other follows a monotonic relation (increases or decreases regularly) with respect to it or not.Thus, at every level, we need to compare the values of the two variables. The method of ranking assigns such ‘levels’ to each value in the dataset so that we can easily compare it.Assign number 1 to n (the number of data points) corresponding to the variable values in the order highest to lowest.In the case of two or more values being identical, assign to them the arithmetic mean of the ranks that they would have otherwise occupied

Step:3Price values given: 28.2, 32.8, 19.4, 22.5, 20.0, 22.5 The corresponding ranks are: 2, 1, 5, 3.5, 4, 3.5 The highest value 32.8 is given rank 1, 28.2 is given rank 2,…. Two values are identical (22.5) and in this case, the arithmetic means of ranks that they would have otherwise occupied (3+42) has to be taken.$rR=1–6Σidi2n(n2–1)$

where n is the number of data points of the two variables and di is the difference in the ranks of the ith element of each random variable considered. The Spearman correlation coefficient, ρ, can take values from +1 to -1.

$A ρ of +1$ indicates a perfect association of ranks

$A ρ of zero$ indicates no association between ranks and

$ρ of -1 indicates$ a perfect negative association of ranks.

The closer$ρ is to zero,$ the weaker the association between the ranks.

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