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| age | sysBP | BMI | TenYearCHD |
|---|---|---|---|
| 39 | 106 | 26.97 | 0 |
| 46 | 121 | 28.73 | 0 |
| 48 | 127.5 | 25.34 | 0 |
| 61 | 150 | 28.58 | 1 |
| 46 | 130 | 23.1 | 0 |
| 43 | 180 | 30.3 | 0 |
Which risk factors relate most to ten-year CHD?
Age and systolic BP are the strongest, then hypertension and diastolic BP.
| with TenYearCHD | r | 95% CI | p |
|---|---|---|---|
| age | 0.23 | 0.20 to 0.25 | < .001 |
| sysBP | 0.22 | 0.19 to 0.24 | < .001 |
| prevalentHyp | 0.18 | 0.15 to 0.21 | < .001 |
| diaBP | 0.15 | 0.12 to 0.17 | < .001 |
Done. Five figures from the Framingham data are in Study A.
R_fig4_age_sex.pngPNG · 76 KB
1# Framingham -- linear regression output (OLS)2df <- read.csv("framingham.csv", check.names = FALSE)3 4# 2. multiple: sysBP5m2 <- lm(sysBP ~ age + male + BMI + heartRate + totChol,6 data = df)7print(summary(m2))
Console
Call:lm(formula = sysBP ~ age + male + BMI + heartRate + totChol, data = df) Residuals: Min 1Q Median 3Q Max -64.300 -12.481 -2.465 9.921 125.865 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 22.531293 3.091221 7.289 3.72e-13 ***age 0.864168 0.035665 24.230 < 2e-16 ***male -1.128182 0.596856 -1.890 0.0588 . BMI 1.425642 0.072987 19.533 < 2e-16 ***heartRate 0.290839 0.024571 11.837 < 2e-16 ***totChol 0.036349 0.006852 5.305 1.19e-07 ***---Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 18.84 on 4165 degrees of freedom (69 observations deleted due to missingness)Multiple R-squared: 0.2642, Adjusted R-squared: 0.2633 F-statistic: 299.1 on 5 and 4165 DF, p-value: < 2.2e-16
| male | age | education | currentSmoker | cigsPerDay | BPMeds | prevalentStroke | prevalentHyp | diabetes | totChol | sysBP | diaBP | BMI | heartRate | glucose | TenYearCHD | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 39 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 195 | 106 | 70 | 26.97 | 80 | 77 | 0 |
| 2 | 0 | 46 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 250 | 121 | 81 | 28.73 | 95 | 76 | 0 |
| 3 | 1 | 48 | 1 | 1 | 20 | 0 | 0 | 0 | 0 | 245 | 127.5 | 80 | 25.34 | 75 | 70 | 0 |
| 4 | 0 | 61 | 3 | 1 | 30 | 0 | 0 | 1 | 0 | 225 | 150 | 95 | 28.58 | 65 | 103 | 1 |
| 5 | 0 | 46 | 3 | 1 | 23 | 0 | 0 | 0 | 0 | 285 | 130 | 84 | 23.1 | 85 | 85 | 0 |
| 6 | 0 | 43 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 228 | 180 | 110 | 30.3 | 77 | 99 | 0 |
| 7 | 0 | 63 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 205 | 138 | 71 | 33.11 | 60 | 85 | 1 |
| 8 | 0 | 45 | 2 | 1 | 20 | 0 | 0 | 0 | 0 | 313 | 100 | 71 | 21.68 | 79 | 78 | 0 |
| 9 | 1 | 52 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 260 | 141.5 | 89 | 26.36 | 76 | 79 | 0 |
| 10 | 1 | 43 | 1 | 1 | 30 | 0 | 0 | 1 | 0 | 225 | 162 | 107 | 23.61 | 93 | 88 | 0 |
| 11 | 0 | 50 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 254 | 133 | 76 | 22.91 | 75 | 76 | 0 |
| 12 | 0 | 43 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 247 | 131 | 88 | 27.64 | 72 | 61 | 0 |
| 13 | 1 | 46 | 1 | 1 | 15 | 0 | 0 | 1 | 0 | 294 | 142 | 94 | 26.31 | 98 | 64 | 0 |
| 14 | 0 | 41 | 3 | 0 | 0 | 1 | 0 | 1 | 0 | 332 | 124 | 88 | 31.31 | 65 | 84 | 0 |
| 15 | 0 | 39 | 2 | 1 | 9 | 0 | 0 | 0 | 0 | 226 | 114 | 64 | 22.35 | 85 | NA | 0 |
| 16 | 0 | 38 | 2 | 1 | 20 | 0 | 0 | 1 | 0 | 221 | 140 | 90 | 21.35 | 95 | 70 | 1 |
| 17 | 1 | 48 | 3 | 1 | 10 | 0 | 0 | 1 | 0 | 232 | 138 | 90 | 22.37 | 64 | 72 | 0 |
| 18 | 0 | 46 | 2 | 1 | 20 | 0 | 0 | 0 | 0 | 291 | 112 | 78 | 23.38 | 80 | 89 | 1 |
| 19 | 0 | 38 | 2 | 1 | 5 | 0 | 0 | 0 | 0 | 195 | 122 | 84.5 | 23.24 | 75 | 78 | 0 |
| 20 | 1 | 41 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 195 | 139 | 88 | 26.88 | 85 | 65 | 0 |
==============================================================================
0. SAMPLE
==============================================================================
Rows: 4240 Columns: 16
==============================================================================
1. SIMPLE LINEAR REGRESSION: systolic BP ~ age
==============================================================================
Call:
lm(formula = sysBP ~ age, data = df)
Residuals:
Min 1Q Median 3Q Max
-57.382 -13.627 -2.627 10.182 148.042
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 82.14199 1.82570 44.99 <2e-16 ***
age 1.01276 0.03628 27.91 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 20.25 on 4238 degrees of freedom
Multiple R-squared: 0.1553, Adjusted R-squared: 0.1551
F-statistic: 779 on 1 and 4238 DF, p-value: < 2.2e-16
Equation: sysBP = 82.142 + 1.0128 * age
n = 4240, R2 = 0.1553, adj R2 = 0.1551, residual SE = 20.253 mmHg
95% CI for slope: [0.9416, 1.0839]
==============================================================================
2. MULTIPLE LINEAR REGRESSION: sysBP ~ age + male + BMI + heartRate + totChol
==============================================================================
Call:
lm(formula = sysBP ~ age + male + BMI + heartRate + totChol,
data = df)
Residuals:
Min 1Q Median 3Q Max
-64.300 -12.481 -2.465 9.921 125.865
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 22.531293 3.091221 7.289 3.72e-13 ***
age 0.864168 0.035665 24.230 < 2e-16 ***
male -1.128182 0.596856 -1.890 0.0588 .
BMI 1.425642 0.072987 19.533 < 2e-16 ***
heartRate 0.290839 0.024571 11.837 < 2e-16 ***
totChol 0.036349 0.006852 5.305 1.19e-07 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 18.84 on 4165 degrees of freedom
(69 observations deleted due to missingness)
Multiple R-squared: 0.2642, Adjusted R-squared: 0.2633
F-statistic: 299.1 on 5 and 4165 DF, p-value: < 2.2e-16
n = 4171, R2 = 0.2642, adj R2 = 0.2633, F = 299.07, residual SE = 18.840
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Study A 4 files
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