There is a population of 100 individuals, 55 of them are income poor. The government decided that it wanted to use multidimensional measures to understand poverty deeply. They were going to add the following dimensions: education, health and violence. We know the following about the deprivations in these dimensions. There are 6 individuals who are only education deprived; 4 individuals who are income and education deprived: 4 individuals are education and health deprived; 4 individuals are education, health and income deprived. There are 8 individuals who are only health deprived; 4 individuals are health and income deprived; 3 individuals are health and violence deprived; 3 individuals are violence and income deprived. There are also 3 individuals who are only deprived in the violence dimensions; 2 individuals are violence, income and education deprived; 2 individuals are violence and education deprived; 5 individuals are deprived in violence, health and education dimensions. Finally, there are 10 individuals who are deprived in all 4 dimensions. Question 1 Calculate the headcount and multidimensional adjusted headcount, when all dimensional have equal weight. Calculate the measures for all integer values of k. Question 2 Now. If we give the income dimension the weight of 50% and say that k is equal to 70%. Now calculate the headcount and multidimensional adjusted headcount. There is a population of 100 individuals, 55 of them are income poor. The government decided that it wanted to use multidimensional measures to understand poverty deeply. They were going to add the following dimensions: education, health and violence. We know the following about the deprivations in these dimensions. There are 6 individuals who are only education deprived; 4 individuals who are income and education deprived: 4 individuals are education and health deprived; 4 individuals are education, health and income deprived. There are 8 individuals who are only health deprived; 4 individuals are health and income deprived; 3 individuals are health and violence deprived; 3 individuals are violence and income deprived. There are also 3 individuals who are only deprived in the violence dimensions; 2 individuals are violence, income and education deprived; 2 individuals are violence and education deprived; 5 individuals are deprived in violence, health and education dimensions. Finally, there are 10 individuals who are deprived in all 4 dimensions. Question 1 Calculate the headcount and multidimensional adjusted headcount, when all dimensional have equal weight. Calculate the measures for all integer values of k. Question 2 Now. If we give the income dimension the weight of 50% and say that k is equal to 70%. Now calculate the headcount and multidimensional adjusted headcount
