Linear Regression

HIV diagnoses

term	estimate	std.error	statistic	p.value
(Intercept)	0.983	0.302	3.252	0.001
boroughBrooklyn	0.297	0.281	1.060	0.289
boroughManhattan	3.091	0.331	9.332	0.000
boroughQueens	-1.245	0.259	-4.811	0.000
boroughStaten Island	-4.376	0.397	-11.016	0.000
genderMale	6.083	0.152	40.138	0.000
age20 - 29	9.600	0.262	36.576	0.000
age30 - 39	6.870	0.262	26.175	0.000
age40 - 49	4.627	0.262	17.627	0.000
age50 - 59	2.355	0.262	8.972	0.000
age60+	0.427	0.262	1.626	0.104
mid_income	0.000	0.000	-17.851	0.000

term	estimate	std.error	statistic	p.value
(Intercept)	5.143	0.514	10.001	0.000
boroughBrooklyn	0.357	0.493	0.724	0.469
boroughManhattan	3.710	0.582	6.376	0.000
boroughQueens	-1.494	0.454	-3.287	0.001
boroughStaten Island	-5.251	0.698	-7.527	0.000
genderMale	7.299	0.266	27.425	0.000
raceAsian/Pacific Islander	-3.628	0.421	-8.621	0.000
raceBlack	7.304	0.421	17.357	0.000
raceLatino/Hispanic	5.399	0.421	12.829	0.000
raceOther/Unknown	-5.008	0.421	-11.900	0.000
mid_income	0.000	0.000	-12.197	0.000

Interpretation: HIV incidence among male are significantly higher than that among female, which can be explained by gender differences with respect to HIV/AIDS depend on patterns of disease transmission. HIV incidence in adults aged 20 to 29, 30 to 39, 40 to 49 and 50 to 59 are all significantly higher than young people aged 13 to 19. HIV incidence in Black and Latino/Hispanic population are significantly higher than that in white population. The effect of income is not significant.

HIV related death rate

term	estimate	std.error	statistic	p.value
(Intercept)	2.249	0.416	5.403	0.000
boroughBrooklyn	0.100	0.386	0.259	0.796
boroughManhattan	0.118	0.454	0.260	0.795
boroughQueens	-1.007	0.356	-2.828	0.005
boroughStaten Island	2.902	0.547	5.304	0.000
genderMale	-0.221	0.209	-1.057	0.291
age20 - 29	2.625	0.362	7.258	0.000
age30 - 39	2.632	0.362	7.278	0.000
age40 - 49	3.357	0.362	9.284	0.000
age50 - 59	4.893	0.362	13.531	0.000
age60+	8.148	0.362	22.532	0.000
mid_income	0.000	0.000	-7.304	0.000

term	estimate	std.error	statistic	p.value
(Intercept)	4.780	0.633	7.556	0.000
boroughBrooklyn	-1.083	0.607	-1.785	0.074
boroughManhattan	0.375	0.713	0.526	0.599
boroughQueens	-1.080	0.559	-1.932	0.053
boroughStaten Island	2.283	0.859	2.660	0.008
genderMale	0.220	0.328	0.671	0.502
raceAsian/Pacific Islander	-0.183	0.518	-0.353	0.724
raceBlack	0.430	0.518	0.830	0.407
raceLatino/Hispanic	1.281	0.518	2.473	0.013
raceOther/Unknown	-2.153	0.518	-4.157	0.000
mid_income	0.000	0.000	-3.616	0.000

Interpretation: HIV related death rate among male are lower than that among female, which is adverse to the effect of gender on HIV diagnoses. This result indicates that the restricted social autonomy of women and young girls can reduce their ability to access sexual health and HIV services. HIV related death rate in adults aged 20 or older are significantly higher than young people aged 13 to 19, and this rate increased as the increase of age. HIV related death rate in Latino/Hispanic population are significantly higher than that in white population, which may be explained by unequal access to HIV treatments. The effect of income is not significant.

Results

Model 1: HIV_diagnoses = 0.983 + 0.297I(borough = Brooklyn) + 3.091I(borough = Manhattan) - 1.245I(borough = Queens) - 4.376I(borough = Staten Island) + 6.083I(male) + 9.600I(age20-29) + 6.870I(age30-39) + 4.627I(age40-49) + 2.355I(age50-59) + 0.427I(age60+)

Model 2: HIV_diagnoses = 5.143 + 0.357I(borough = Brooklyn) + 3.710I(borough = Manhattan) - 1.494I(borough = Queens) - 5.251I(borough = Staten Island) + 7.299I(male) - 3.628I(Asian/Pacific Islander) + 7.304I(Black) + 5.399I(Latino/Hispanic) - 5.008I(Other/Unknown)

Model 3: HIV_related_death_rate = 2.249 + 0.100I(borough = Brooklyn) + 0.118I(borough = Manhattan) - 1.007I(borough = Queens) + 2.902I(borough = Staten Island) - 0.221I(male) + 2.625I(age20-29) + 2.632I(age30-39) + 3.357I(age40-49) + 4.893I(age50-59) + 8.148I(age60+)

Model 4: HIV_related_death_rate = 4.780 - 1.083I(borough = Brooklyn) + 0.375I(borough = Manhattan) - 1.080I(borough = Queens) + 2.283I(borough = Staten Island) + 0.220I(male) - 0.183I(Asian/Pacific Islander) + 0.430I(Black) + 1.281I(Latino/Hispanic) - 2.153I(Other/Unknown)