_. A government of a country is interested in assessing and comparing changes in self-reported health status among its citizens in 2010, 2015 and 2020, using a variable with seven categories ordered as follows: A. excellent (best category), B. very good, C. good, D. fair, E. poor, F. very poor, G. extremely poor (worst category). The 'fair' category is the deprivation threshold category. Population shares in the seven health categories for all years are listed in the table below. Very Very Extremely Excellent good Good Fair Poor poor poor Year Cat-A Cat-B Cat-C Cat-D Cat-E Cat-F Cat-G 2010 0.05 0.15 0.15 0.20 0.15 0.15 0.15 2015 0.07 0.20 0.13 0.20 0.20 0.10 0.10 2020 0.08 0.18 0.17 0.10 0.15 0.16 0.16 Using various measurement tools specic to ordinal variables, answer the following questions. 1. Elaborate in detail how you would compare changes in education poverty in all three years. Provide the respective estimates based on different measures in the following class: P = 2;\":st where 5 is the total number of categories, 19,, is the population share in category 5 and ms is the ordinal-weight assigned to category 5 for all s = 1, ...,Swith the following restrictions: (i) ml = 1, (ii) w5_1 > ms > 0 for all s = 2, ...,k and (iii) (us = 0 for all s > k (k is the poverty threshold category). Please use additional restrictions on ordinal-weights as required for your answer. 2. Elaborate in detail how you would robustly compare education welfare and education inequality in all three years and provide the respective estimates