Author Correction: Measuring dynamic social contacts in a rehabilitation hospital: effect of wards, patient and staff characteristics

Correction to: Scientific Reports 10.1038/s41598-018-20008-w, published online 26 January 2018

The Supplementary Material file that accompanies this Article contains an error in equations 3 and 5 and the paragraphs that follow them. Equation 3 and the paragraph below it:

$${\forall }_{c,c}DCD(c)=\frac{1}{N_c}{\sum }_{i\mathit{ϵ}c}\frac{1}{D_i}{\sum }_{t=1}^{D_i}{\sum }_{j\in H(t)}DCD(i,j,t)$$

Where c is the category (eg. HCW, patients, etc.), N_c is the number of individuals i belonging to category c, D_i the number of days of presence of individual i in the hospital, H(t) is the ensemble of all individuals present in the hospital on day t, and DCD(i,j,t) the cumulative duration of CPIs on day t between individuals i and j.

should read:

$${\forall }_{c,c}DCD(c)=\frac{1}{N_c}{\sum }_{i\mathit{ϵ}c}\frac{1}{H}{\sum }_{j\mathit{ϵ}H}\frac{1}{D_{i,j}}{\sum }_{t\mathit{ϵ}{D}_{i,j}}DCD(i,j,t)$$

Where c is the category (eg. HCW, patients, etc.), N_c is the number of individuals i belonging to category c, D_i,j the number of days of contact between i and j in the hospital, H is the ensemble of all individuals present in the hospital, and DCD(i,j,t) the cumulative duration of CPIs on day t between individuals i and j.

Equation 5 and the paragraph below it:

$$\forall \left(w,c_1,c_2\right),wDCD(c_1,c_2)=\frac{1}{N_{w,c1}}{\sum }_{i=1}^{N_{w,c1}}\frac{1}{D_i}{\sum }_{t=1}^{D_i}{\sum }_{j=1}^{N_{c2}}DCD(i,j,t)$$

Where c₁ and c₂ are two categories, w is the ward number, N_w,c1 is the number of individuals s belonging to category c₁ (staff categories or patients), an D_i is the number of days of presence of individual i in the hospital, N_c2 is the number of individuals from category c₂ in the hospital, and DCD(i,j,t) is the daily cumulative duration of CPIs of two individuals i and j on day t.

should read:

$$\forall \left(w,c_1,c_2\right),wDCD(c_1,c_2)=\frac{1}{N_{w,c1}}{\sum }_{i=1}^{N_{w,c1}}\frac{1}{N_{c2}}{\sum }_{j=1}^{N_{c2}}\frac{1}{D_{i,j}}{\sum }_{j=1}^{D_{i,j}}DCD(i,j,t)$$

Where c₁ and c₂ are two categories, w is the ward number, N_w,c1 is the number of individuals s belonging to category c₁ (staff categories or patients), and D_i,j is the number of days of contact between i and j in the hospital, N_c2 is the number of individuals from category c₂ in the hospital, and DCD(i,j,t) is the daily cumulative duration of CPIs of two individuals i and j on day t.