Dimensionality reduction model based on integer planning for the analysis of key indicators affecting life expectancy

Figures & Tables

i	denotes the subscript of the indicator
j	denotes the subscript of alternative class center
I	denotes the set of all subscripts of indicators
J	denotes the set of all subscripts of alternative class centers
p_num	denotes the number of enabled indicators
p_center	denotes the number of classes in the result
λ	denotes the lower limit parameter of intra-class correlation
η	denotes the upper limit parameter of inter-class correlation
α₁	denotes the weight of the inter-class correlations in the objective function
α₂	denotes the weight of intra-class correlations in the objective function
α₃	denotes the weight of the part above λ or below η in the objective function
α₄	denotes the weight of the difference of ζ and ξ in the objective function
c_ij	denotes the absolute value of the Pearson correlation coefficient between the i-th and j-th indicator
c_ij^′	is similar with c_ij, but c_ij^′ takes the value 0 on the diagonal

Disease Name	Australia	Canada	USA	Japan	China	Congo	Niger	Somalia
Tuberculosis	0.03	0.06	0.34	1.96	25.36	1.66	2.36	5.91
Syphilis	0	0	0.03	0.01	0.99	0.06	0.06	0.23
HIV/AIDS	0.05	0.12	4.12	0.04	21.23	1.68	0.63	0.34
Diarrhoeal Diseases	0.12	0.36	4.08	1.14	4.7	0.81	8.87	8.11
Meningitis	0.02	0.04	0.33	0.17	3.46	0.16	2.73	2.97
Acute Hepatitis A	0.01	0.01	0.24	0.05	0.05	0.01	0.08	0.42
Diabetes Mellitus	2.46	3.38	35.64	3.07	80.63	0.54	1.14	1.75
Peptic Ulcer Disease	0.14	0.23	1.78	1.58	24.13	0.04	0.51	0.39
Kidney Diseases	1.52	2.24	44.01	21.37	103.69	0.31	1.63	1.27
Skin Diseases	0.27	0.28	2.42	1.01	2.62	0.02	0.11	0.07
Rheumatoid Arthritis	0.07	0.09	0.65	0.74	4.12	0.01	0	0.02
Neural Tube Defects	0.03	0.03	0.43	0.05	1.01	0.08	0.75	0.3
Road Injury	0.91	1.35	29.18	3.07	187.4	1.02	3.93	3.01
Self-Harm	2.34	3.27	40.69	13.51	72.51	0.26	0.84	0.93

	Case 1	Case 2	Case 3	Case 4	Case 5
Index₁	0.6018	0.6018	0.5210	0.0090	0.0033
Index₂	0.8528	0.8106	0.7893	0.1345	0.0394
Index₃	0.6669	0.6669	0.6552	0.3578	0.0226
Index₄	0.9086	0.9112	0.8596	0.8033	0.6845
Index₅	0.6669	0.6669	0.6552	0.3578	0.0226
Index₇	0.1791	0.2807	0.0184	0.8381	0.3279
Index₈	0.1791	0.2807	0.0184	0.8381	0.3279
Compactness	1.0282	0.9973	1.2433	1.2396	1.6834
Separation	2.6867	2.6207	2.6634	1.3752	2.3058
DVI	0.8184	0.8184	0.6449	0.3313	0.2488
SI	0.5095	0.5095	0.5472	0.2300	0.1721
DBI	0.7684	0.7577	0.7680	1.8128	1.4645