Statics presentation quantitative data

1. STATISTICS
PRESENTATION
SUBMITTED BY : GAURAV PALARIYA
SUBMITTED TO : MR .SAURABH PANDEY
BBA 3rd semester
2050180

2. SPEARMAN’S RANK
CORRELATION
• This measure is especially useful when
quantitative measure of certain factors cannot be
fixed but the individuals in the group can be
arranged in order thereby obtaining for each
individual a number indicating his rank .

3. WHEN ACTUAL RANKS ARE GIVEN
• When actual ranks are given take the difference of the two
ranks i.e. (R1 – R2) and the difference is denoted by D .
Square these differences and put value in the formula.
• R = 1- (6 ∑D2 ) / N (N2 – 1)
• R = Rank correlation coefficient
• D = Difference of rank between paired item in two series.
• N = Total number of observation

4. WHEN RANKS ARE NOT GIVEN
• when we are given the actual data and not the ranks it
will be necessary to assign the ranks . Ranks can be
assigned by taking either the highest value as 1 or the
lowest value as 1.
• R = 1- (6 ∑D2 ) / N (N2 – 1)

5. EQUAL RANKS OR TIE IN RANKS
• In such cases average ranks should be assigned to each
individual.
R =1- 6{∑D2 1/12(m1
3 – m1) + 1/12(m2
3 – m2) +…. 1/12(m2
3 –
m2) / N (N2 – 1)
m = The number of time an item is repeated

6. PROPERTIES OF SPEARMEN'S RANK
CORRELATION
• The value of rank correlation coefficient, R ranges from -1
to +1
• If R = +1, then there is complete agreement in the order of
the ranks and the ranks are in the same direction
• If R = -1, then there is complete agreement in the order of
the ranks and the ranks are in the opposite direction
• If R = 0, then there is no correlation

7. WHEN RANK ARE NOT REPEATED

8. WHEN RANKS ARE REPEATED

9. Thank you