Table 11 Effects of the correlations between diseases, baseline incidence, proportions diseased, risk ratios, and baseline symptom correlations on the areas under curves obtained from the maximal area under the receiver operating characteristic curve using at most 40 symptoms to predict the disease associated with the disease that caused symptoms.

From: Diagnostic accuracy of symptoms for an underlying disease: a simulation study

 

Coefficients

(95% CIs)

p

Incidence not reaching 1 among those diseased

(Intercept)

0.462

(0.453 to 0.471)

< 0.0001

Correlation between diseases

0.208

(0.187 to 0.229)

< 0.0001

Proportions diseased

− 0.002

(− 0.013 to 0.009)

0.681

Baseline incidence

− 0.195

(− 0.21 to − 0.18)

< 0.0001

Risk ratio

− 0.014

(− 0.015 to − 0.013)

< 0.0001

At-risk incidence

0.262

(0.254 to 0.27)

< 0.0001

Baseline symptom correlation

− 0.005

(− 0.014 to 0.004)

0.265

Correlation between diseases:Proportions diseased

0.009

(− 0.016 to 0.034)

0.496

Correlation between diseases:Baseline incidence

− 0.197

(− 0.228 to − 0.166)

< 0.0001

Correlation between diseases:Risk ratio

0.027

(0.025 to 0.029)

< 0.0001

Correlation between diseases:Baseline symptom correlation

− 0.094

(− 0.116 to − 0.072)

< 0.0001

Dependent variable mean = 0.57; SD = 0.14; median = 0.51; min = 0.13; max = 0.88

Adjusted R-square = 0.66

Incidence reaching 1 among those diseased

(Intercept)

0.508

(0.502 to 0.514)

< 0.0001

Correlation between diseases

0.618

(0.604 to 0.632)

< 0.0001

Proportions diseased

− 0.007

(− 0.013 to − 0.001)

0.025

Baseline incidence

0

(− 0.008 to 0.008)

0.973

Risk ratio

0

(0 to 0)

0.764

Baseline symptom correlation

− 0.003

(− 0.008 to 0.002)

0.174

Correlation between diseases:Proportions diseased

0.002

(− 0.011 to 0.015)

0.774

Correlation between diseases:Baseline incidence

− 0.254

(− 0.273 to − 0.235)

< 0.0001

Correlation between diseases:Risk ratio

− 0.002

(− 0.003 to − 0.001)

< 0.0001

Correlation between diseases:Baseline symptom correlation

− 0.182

(− 0.193 to − 0.171)

< 0.0001

Dependent variable mean = 0.65; SD = 0.13; median = 0.64; min = 0.47; max = 0.88

Adjusted R-square = 0.96

  1. CI confidence interval, SD standard deviation.