Write merits and limitations of Spearman’s rank correlation metho… - Vidyadip

Question

Write merits and limitations of Spearman’s rank correlation method.

✓

Answer

Merits of Spearman’s rank correlation method : The merits of Spearman’s rank correlation method are as follows :

This method is easy to understand.
In calculating correlation coefficient, this method is easier than that of Karl Pearson’s method.
When the related data is qualitative, this is the only method to find the measure of correlation.
When there is more dispersion in the related numerical data or the extreme observations are present in the data, Spearman’s method is preferred than Karl Pearson’s method.

Limitations : Following are the limitations of Spearman’s rank correlation method:

This method does not provide accurate measure of correlation coefficient as compared to Karl Pearson’s method.
It is tedious to assign ranks when the number of observations is large.
This method cannot be used for a bivariates frequency distribution.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Each" from LINEAR CORRELATION→LINEAR CORRELATION — all question types→Statistics STD 12 Commerce question papers→Gujarat Board STD 12 Commerce question papers→Gujarat Board question paper generator→

Similar questions

If $p(x)=0.2 A .3^{x-1} ; x=1,2,3,4$, then find the value of constant A such that $p(x)$ becomes a probability distribution.

State the necessary precautions to be taken while interpreting the value of correlation coefficient.

The mean of a normal distribution is $150$ and Its variance is $625 .$ If $(1)\ P\left[X \leq k_{1}\right]=$ $0.7257$, $(2)\ P\left[k_{2} \leq X \leq 140\right]=0.3218$ and $(3)\ P\left[X \geq k_{3}\right]=0.1038$, find the values of $k_{1}, k_{2}$ and $k_{3}$.

The following informatino is given for ten firms running business of clothes in a city regarding their aerage annual profit $($in lakh $i‘)$ and average annual administrative cost $($in lakh $₹) :$

Particular	Profit (in lakh ₹) X	Administrative Cost (in lakh ₹) Y
Mean	$60$	$25$
Standard Deviation	$6$	$3$
Covariance ; $10.4$

Obtain the regression line of $Y$ on $X.$
OR If the regression line is $\hat{y}=\frac{x}{2}+5$ and $S_y: S_x=5: 8$.
Find the co-efficient of determination.

Generally $30 \%$ customers visiting an electronic store buy something. A sample of $5$ customers is selected every hour. In $30$ such samples, how many samples will have at least $2$ customers buying something ?

If the mean is $2$ and variance is $1.6$ of a binomial distribution, find its parameters. Comment on the skewness of the distribution.

The data collected about the demand of a commodity from a store are as follows. Find the trend using three monthly moving averages.

Month	January	February	March	April	May	June	July
Demand $($Units$)$	$15$	$16$	$18$	$18$	$23$	$23$	$20$

Find the value of $\lim _{x \rightarrow 0} \frac{1}{x}\left[\frac{2 x+3}{3 x-5}+\frac{3}{5}\right]$.

Obtain the derivative of the following functions by using definition: $\frac{C}{\sqrt{x}}$

One card is selected at random from a pack of $52$ cards
Find the probability that the selected card is
$(1)$ A spade or a jack.
$(2)$ Neither a spade nor a jack.