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. Author manuscript; available in PMC: 2017 Oct 1.
Published in final edited form as: JAMA Psychiatry. 2016 Oct 1;73(10):1072–1081. doi: 10.1001/jamapsychiatry.2016.1870

Table 1.

Model Fit Parameter Estimates for Crude and Sex-Adjusted Negative Binomial Models of Cause-Specific Mortality Trends in the United States From 1999 to 2014

Statistic Self-Injury Suicidea Diabetes Influenza and Pneumonia Kidney Disease
Unadjusted model fit
P valueb .31 .32 .32 .31 .32
AICc 279.33 254.35 298.60 308.77 295.66
Parameter estimates
 Year 0.03 0.02 −0.01 −0.03 0.01
  SE 0.001 0.001 0.002 0.003 0.003
  Wald 95% CI 0.03 to 0.04 0.02 to 0.02 −0.01 to −0.00 −0.03 to −0.02 0 to 0.01
  P value <.001 <.001 .002 <.001 <.001
  Rate ratio 1.03 1.02 0.99 0.98 1.01
 Dispersion 0.001 0 0.001 0.003 0.002
Sex-adjusted model fit
P value .26 .30 .29 .27 .28
AICc 532.54 455.15 551.27 570.95 545.35
Parameter estimates
  Year 0.05 0.03 −0.02 −0.03 0.01
  SE 0.002 0.001 0.002 0.003 0.003
  Wald 95% CI 0.05 to 0.06 0.02 to 0.03 −0.02 to −0.01 −0.04 to −0.02 0.00 to 0.01
  P value <.001 <.001 <.001 <.001 .02
  Rate ratio 1.05 1.03 0.98 0.97 1.01
 Sex (male) 50.42 25.45 −43.12 −23.96 −13.17
  SE 5.31 2.80 4.85 8.20 7.39
  Wald 95% CI 40.02 to 60.82 19.96 to 30.95 −52.63 to −33.61 −40.02 to −7.90 27.65 to 1.32
  P value <.001 <.001 <.001 .003 .07
  Rate ratio 0 0 0 0 0
 Year × sex (male) −0.03 −0.01 0.02 0.01 0.01
  SE 0.003 0.001 0.002 0.004 0.004
  Wald 95% CI −0.03 to −0.02 −0.02 to −0.01 0.02 to 0.03 0.01 to 0.02 0 to 0.01
  P value <.001 <.001 <.001 .004 .07
  Rate ratio 0.98 0.99 1.02 1.01 1.01
 Dispersion 0.001 0 0.001 0.003 0.002

Abbreviation: AIC, Akaike information criterion.

a

Suicide is a component of self-injury, together with estimated deaths from drug self-intoxication. See results of the sensitivity analysis.

b

P values calculated with Pearson χ2 test.

c

The Akaike information criterion estimates the relative quality of statistical models for a given set of data. Lower values indicate better quality.