The Compatibility Tension among groups and the Quntitative Measurement

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The introduction:

While reading the book "political geography: the discipline and its dimensions" by Dikshit, I was intrigued by his following statement about piaseeki's index - "the lower the resultant index, the higher shall be the degree of ethnic differentiation. The index for complete ethnic homogeneity is 100. The index, however, shows only the degree of ethnic differentiation, and not the degree of compatibility or tension between the groups involved. The practical value of the index is therefore, rather limited." (page 49).

I propose to introduce the index of compatibility / tension among groups like the ethnic groups, etc. However, let us first of all see briefly the piaseeki's index as under which helps us know the degree of ethno-cultural diversity and divisiveness for any state:

 s = 100 e   ni2/n2


 n = size of the ethnic group i, n = the total population of the country and k = the number of ethnic groups.

The Compatibility/ Tension Index (c/ti) or the measurement of deviation / degrees of tension  from the perfect compatibility:

 One may measure the deviation/degrees of tension by applying the following method. First of all, divide the total population according to groups. Then, find the actual value of the given parameter as assigned by the each particular group. Add the grand total of all these actual values. Divide the grand total by the total number of groups. This figure be taken as the expected proportional value assigned to a particular parameter by each group.

Then, find the difference between this expected value with actually observed value assigned by each group. This gives the deviation / degree of tension against each group. Add all the deviations/degrees of tension, if any, ignoring the minus (-) signs. Divide the total of deviations/degrees of tension by the grand total of actual values assigned by each group.

The resultant final deviation, co-efficient or the degree of the tension shall range from 0 to 5 indicating varying co-efficient of tension in the given state as per the following table of the co-efficient of  tension:

Co-efficient of Tension

Kind of Tension

(20%-> 0%) 1 and > 0


(40%-21%) 2 and > 1


(60%-41%) 3 and >2


(80%-61%) 4 and > 3

very high

(99.9%-81%) 5 and   4

near  perfect

(100%) 5


Note: The ideal for any country should be to keep the co - efficient 0 to 1 and see that it does not increase beyond 1.

The example of co-efficient of tension in a hypothetical nation-State   "x" on the issue of the acceptance of the central rule by constituent states:





Acceptance on a scale of 10


Expected  proportional



Deviations (d) =

(o - e)

 Note: sd is calculated by ignoring minus

 (-) sign


















so =  15


 sd = 0

               e =      so =   15     =  5

                          n        3                                    

                                                sd        0

The coefficient of tension   =   so = 15 = 0 = 0 x 100 = 0 % 

The Interpretation:

The given state shows no tension (0 %) as per the table of co-efficient of tension. in other words, the given state has full compatibility on the given issue. All the constituent groups have the same value system or the views with no conflicting stands on a given issue.

Note: The total degrees of tension on all issues can be found by first finding the degrees of tension on each issue separately and then adding up all these finally, dividing this grand total by the total number of issues involved .This shall give the exact overall  composite picture of the degrees of tension / compatibility prevalent in a given nation - state . 

The Conclusion: The proposed c/ti has vast potential in terms of the application to the studies of compatibility/tension amongst groups in any given organization like a nation-State, etc.

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