INFRASTRUCTURAL DEVELOPMENT IN INDIA: PRE AND POST ...

24 Kaur, G.; Ghuman, R.S.8. NOTES1. The criterion used for the purpose of including a particular state is that thepopulation of the state must exceed at least one per cent of the total population of thecountry. Bihar, Madhya Pradesh and Uttar Pradesh have been reorganized to formthree new states viz., Jharkhand, Chhattisgarh and Uttaranchal, respectively in Nov.2000. Separate data for these newly created states is not available for 1981-82 and1991-92. As such these states have not been included into the study. Further, becauseof reorganisation of Bihar, Madhya Pradesh and Uttar Pradesh, data for these states isalso not separately available for 1981-82 and 1991-92.2. The index method, as used in the study, runs as under:Xi 1, 2, 3,.............., mis − Min X =isYis = ;(2)Max X − Min X s = 1, 2, 3,..............., niswhere:i stands for the ith indicator of developments stands for the sth stateX is is the value of the ith indicator of development for the sth state.Y is stands for the scaled value of X isMin X is stands for the minimum value of X isMax X is stands for the maximum value of X isisFrom the scaled values (Y is ), a composite index of the level of development forany state has been calculated as follows.Ysm= ∑ W Yisi=11(3)Ys = W 1 Y 1s + W 2 Y 2s + W 3 Y 3s + ...+ W m Y ms (4)where:W 1 , W 2 , W 3 ,…,W m are the weights assigned to the respective indicators ofdevelopment.Y s is the composite index of development of the concerned state.3. Correlation weights are calculated as follows:CiCW i =(5)∑ Ciwhere:Ci is the value of inter-correlation coefficient of ith indicator summed over mindicators.ΣC i stands for the sum of values of inter-correlation coefficients of all the m indicators.CW i is the correlation weight assigned to the ith indicator of development.