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Number of police killings of unarmed black Americanst p value Wild cluster bootstrap-t p value Any police killings of unarmed black Americans (vs none)t p value Wild cluster bootstrap-t p value Primary outcome Poor mental health days (OLS, rate difference) 0-14 (0-07-0.22) 0-00047 <0.0001 0-35 (0-03-0-67) 0-032 <0.0001 Poor mental health days (Poisson, rate ratio) 1-033 (1-016-1-051) 0.00011 <0.0001 1.087 (1-006-1-174) 0-035 <0.0001 Secondary outcomes Any poor mental health days (Poisson, risk ratio) 1-022 (1-008-1-036) 0.0018 <0.0001 1-055 (1-007-1-106) 0-024 <0.0001 Frequent mental distress* (Poisson, risk ratio) 1.036 (1-007-1-068) 0.016 <0.0001 1-106 (0-986-1-240) 0-085 0-039 Data are regression estimates (95% CI). All outcomes were assessed on the 103 710 black American respondents in the 2013-15 US Behavioral Risk Factor Surveillance System. Separate regressions were done for the two exposures (number of killings and any killings); additionally, each column represents a separate regression. 95% Cls are corrected for clustering at the state level. All models were adjusted for respondent sex, age group, and level of education; and state-survey month, survey year-survey month, and survey day of week fixed effects. OLS-ordinary least squares. *Defined as 14 days or more of poor mental in the past 30 days. †Exposures are measured in the 30 days before the interview date. #Wild cluster bootstrap-t p values account for potential underestimates of SEs when the number of clusters is small. These were estimated on least-squares (ie, linear probability model) versions of the models listed because they cannot be applied to non-linear estimators (eg, Poisson). Table 3: Exposure to police killings of unarmed black Americans and poor mental health days among black Americans: regression estimates

Number of police killings of unarmed black Americanst p value Wild cluster bootstrap-t p value Any police killings of unarmed black Americans (vs none)t p value Wild cluster bootstrap-t p value Primary outcome Poor mental health days (OLS, rate difference) 0-14 (0-07-0.22) 0-00047 <0.0001 0-35 (0-03-0-67) 0-032 <0.0001 Poor mental health days (Poisson, rate ratio) 1-033 (1-016-1-051) 0.00011 <0.0001 1.087 (1-006-1-174) 0-035 <0.0001 Secondary outcomes Any poor mental health days (Poisson, risk ratio) 1-022 (1-008-1-036) 0.0018 <0.0001 1-055 (1-007-1-106) 0-024 <0.0001 Frequent mental distress* (Poisson, risk ratio) 1.036 (1-007-1-068) 0.016 <0.0001 1-106 (0-986-1-240) 0-085 0-039 Data are regression estimates (95% CI). All outcomes were assessed on the 103 710 black American respondents in the 2013-15 US Behavioral Risk Factor Surveillance System. Separate regressions were done for the two exposures (number of killings and any killings); additionally, each column represents a separate regression. 95% Cls are corrected for clustering at the state level. All models were adjusted for respondent sex, age group, and level of education; and state-survey month, survey year-survey month, and survey day of week fixed effects. OLS-ordinary least squares. *Defined as 14 days or more of poor mental in the past 30 days. †Exposures are measured in the 30 days before the interview date. #Wild cluster bootstrap-t p values account for potential underestimates of SEs when the number of clusters is small. These were estimated on least-squares (ie, linear probability model) versions of the models listed because they cannot be applied to non-linear estimators (eg, Poisson). Table 3: Exposure to police killings of unarmed black Americans and poor mental health days among black Americans: regression estimates

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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How can we interpret the confidence interval for the secondary exposure in the regression model of the primary outcome in Table 3?

 

Number of police killings of unarmed black Americanst p value Wild cluster bootstrap-t p value Any police killings of unarmed black Americans (vs none) t p value Wild cluster bootstrap-t p value Primary outcome Poor mental health days (OLS, rate difference) 0.14 (0.07-0.22) 0.00047 <0.0001 0.35 (0-03-0-67) 0.032 <0.0001 Poor mental health days (Poisson, rate ratio) 1.033 (1.016-1.051) 0.00011 <0.0001 1.087 (1.006-1-174) 0.035 <0.0001 Secondary outcomes Any poor mental health days (Poisson, risk ratio) 1.022 (1-008-1.036) 0.0018 <0.0001 1.055 (1.007-1.106) 0.024 <0.0001 Frequent mental distress* (Poisson, risk ratio) 1.036 (1.007-1.068) 0.016 <0.0001 1.106 (0.986-1-240) 0.085 0.039 Data are regression estimates (95% CI). All outcomes were assessed on the 103 710 black American respondents in the 2013-15 US Behavioral Risk Factor Surveillance System. Separate regressions were done for the two exposures (number of killings and any killings); additionally, each column represents a separate regression. 95% Cls are corrected for clustering at the state level. All models were adjusted for respondent sex, age group, and level of education; and state-survey month, survey year-survey month, and survey day of week fixed effects. OLS-ordinary least squares. *Defined as 14 days or more of poor mental in the past 30 days. † Exposures are measured in the 30 days before the interview date. #Wild cluster bootstrap-t p values account for potential underestimates of SEs when the number of clusters is small. These were estimated on least-squares (ie, linear probability model) versions of the models listed because they cannot be applied to non-linear estimators (eg, Poisson). Table 3: Exposure to police killings of unarmed black Americans and poor mental health days among black Americans: regression estimates
Transcribed Image Text:Number of police killings of unarmed black Americanst p value Wild cluster bootstrap-t p value Any police killings of unarmed black Americans (vs none) t p value Wild cluster bootstrap-t p value Primary outcome Poor mental health days (OLS, rate difference) 0.14 (0.07-0.22) 0.00047 <0.0001 0.35 (0-03-0-67) 0.032 <0.0001 Poor mental health days (Poisson, rate ratio) 1.033 (1.016-1.051) 0.00011 <0.0001 1.087 (1.006-1-174) 0.035 <0.0001 Secondary outcomes Any poor mental health days (Poisson, risk ratio) 1.022 (1-008-1.036) 0.0018 <0.0001 1.055 (1.007-1.106) 0.024 <0.0001 Frequent mental distress* (Poisson, risk ratio) 1.036 (1.007-1.068) 0.016 <0.0001 1.106 (0.986-1-240) 0.085 0.039 Data are regression estimates (95% CI). All outcomes were assessed on the 103 710 black American respondents in the 2013-15 US Behavioral Risk Factor Surveillance System. Separate regressions were done for the two exposures (number of killings and any killings); additionally, each column represents a separate regression. 95% Cls are corrected for clustering at the state level. All models were adjusted for respondent sex, age group, and level of education; and state-survey month, survey year-survey month, and survey day of week fixed effects. OLS-ordinary least squares. *Defined as 14 days or more of poor mental in the past 30 days. † Exposures are measured in the 30 days before the interview date. #Wild cluster bootstrap-t p values account for potential underestimates of SEs when the number of clusters is small. These were estimated on least-squares (ie, linear probability model) versions of the models listed because they cannot be applied to non-linear estimators (eg, Poisson). Table 3: Exposure to police killings of unarmed black Americans and poor mental health days among black Americans: regression estimates
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