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Exact(4)

To address the issue of the extreme values entered by participants and the resulting skewed mean, we also examined the median (this is a common use of the median [37]) and mode values for each site.

When analyzing the scale, up to three missing values were accepted and were replaced with the mode values for the population.

Mode values for the G1 peaks were determined from the bead-normalized distributions after smoothing the data (fastsmooth.m, width 10; T. C. O'Haver, pers. comm).

SSM mode values for each of the 1258 subjects were calculated and the mean SSM values for each of the 12 modes and each of the groups (i.e. left vs. right proximal femurs) were compared using a univariate independent two-sample Welch's t-test.

Similar(56)

The mode value for the distribution was found to be ∼17.41 Å.

Missing data for the covariables were imputed by the mean value for ordinal or binary variables and the mode value for variables with three or more categories.

In the few cases where this did occur, we substituted the mode value (for qualitative variables) or mean value (for quantitative variables).After describing the distributions of the variables of interest, we estimated the bivariate associations of the PCS and MCS scores with each individual and household-level characteristic using one-way ANOVA.

Finally, concluding remarks are presented in Section 7. Notation: is reserved for the matrix Hermitian, for the matrix inverse, for the matrix (vector) transpose, for the complex conjugate, for the Kronecker product, for the trace of a matrix, for the mean value of the elements in a matrix, for the mode value of the elements in a vector and for the absolute value of the complex number.

We imputed missing BMI values using linear regression on age and sex for complete cases, and the missing values for other categorical variables were imputed by taking the mode values after adjusting for age and sex.

To plot the data we calculated the 25th, 50th and 75th percentile biomarker values for the MCI group and estimated the predicted changes based on the coefficients of the corresponding mixed-effects model (for the variables included in the model, median and mode values were used for quantitative and categorical predictors).

In terms of generalizability, there was consensus on the items that are relevant when comparing revision rates between studies, although in round 3 most of the included postoperative functioning items only just reached the cut off point of two thirds, see Additional File 2. However, the preference for the mode values (e.g. 5 years) was mostly moderate and even low for some items.

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