From d7262a0da4cebe5ccc609a3becef0eec6aa20a28 Mon Sep 17 00:00:00 2001 From: Georg Heinze Date: Tue, 30 Aug 2022 17:22:43 +0200 Subject: [PATCH 1/5] rework IDA plan and analysis --- Bact_SAP.qmd | 276 -------------------------------------------- Bact_intro.qmd | 21 ++-- Bact_missing.qmd | 86 ++++++++------ _quarto.yml | 2 +- data/a_bact.rda | Bin 1242049 -> 1242050 bytes data/bact_env_b.rda | Bin 1401724 -> 1251978 bytes 6 files changed, 66 insertions(+), 319 deletions(-) delete mode 100644 Bact_SAP.qmd diff --git a/Bact_SAP.qmd b/Bact_SAP.qmd deleted file mode 100644 index e227a7d..0000000 --- a/Bact_SAP.qmd +++ /dev/null @@ -1,276 +0,0 @@ -# IDA plan - -```{r, echo=FALSE, warning=FALSE, message=FALSE, echo=FALSE} -## Load libraries -library(here) -library(tidyverse) -library(Hmisc) -library(gtsummary) - -load(here::here("data", "a_bact.rda")) -``` - -Since a key principle of IDA is not to touch the research questions, before IDA commences the research aim and statistical analysis plan needs to be in place. -IDA may lead to an update or refinement of the analysis plan. To demonstrate the workflow and content of IDA, we created a hypothetical research aim and corresponding statistical analysis plan. - -IDA follows the generic IDA plan developed in this project and is adapted to the data set given the hypothetical research aim. - - -## Preparations - -*1. Statistical analysis plan: as assumed above, the analysis strategy to answer the main research question has been prespecified. It comprises of the set of independent variables to be considered in a model, the outcome variable, and the analytical strategy to build the regression model.* - - -The aim of the analysis is to derive a parsimonious model to predict bacteremia status from age, gender, and 49 continuous laboratory variables. Logistic regression with consideration of nonlinear effects by fractional polynomials will be considered. The multivariable fractional polynomial algorithm will be employed considering first-order fractional polynomials for the continuous covariates. In a first step, optimal transformations for each covariate will be determined without variable selection. In the second step, we will apply the garrote to assign nonnegative shrinkage factors to the coefficients. The shrinkage factors will be determined by optimizing AIC in the second step. It is considered to impute missing values using multiple imputation with chained equations, and to generate a stacked data set for analysis. The number of imputations will be determined after initial data analysis. To assess internal performance of the diagnostic model, we will consider 10-fold cross-validation (CV), repeating the above-described model building steps. The folds will be built by dividing the patient cohort into 10 approximately equally-sized groups. All imputed observations of a patient will be assigned to the same fold. From the 10-fold CV, the area under the ROC, the calibration in the large and the calibration slope will be estimated and reported. The final regression model will be derived from analysing the full cohort with that strategy. - - - -*2. Data dictionary and metadata: a detailed data dictionary should be available which informs about the meaning of each variable in context of the research question, the units of measurement, the possible levels in case of categorical variables, or admissible values. More generally, metadata, also refer to information about the research study protocol and data collection processes.* - - -A data dictionary is available. - -*3. Domain expertise and pivotal covariates ('very important predictors', VIPs)* - -*3.1. In particular for analyses with a moderate to high number of covariates, domain expertise should guide assumptions which covariates are considered to be 'strongly related' with the outcome and hence are 'very important predictors' in the regression model, and which variables have a weak or unknown association with the outcome (cf. Heinze et al, Biometrical Journal 2018). Depending on context and assumptions on strength of association with the outcome variable, two to three pivotal covariates should be defined (e.g., age and sex).* - -Pivotal covariates: - -Ratzinger et al (2014) cite 5 papers who have proposed a prediction model for bacteremia before. From these papers, the following knowledge could be extracted: - -Covariates with assumed strong association with bacteremia: - -* Jaimes (2004): - + age - + heart rate - + temperature - + leukocyte count - + use of central venous catheter - + length of hospitalization - - -* Bates 1997 - + Suspected or documented focal infection at onset - + antibiotics before onset - + any liver disease - + Hickman catheter present - + altered mental status within 24h - + focal abdominal signs withing 24h - - -* Lee (2012) - + age - + presence of rigor - + presence of chills - + body temperature - + blood urea nitrogen - + blood urea nitrogen/creatinine ratio - + thrombocytopenia - - -* Tudela (2010) - + Charlson index - + PCT - - -* Kuppermann (1998) - + age - + temperature - + clinical score - + WBC count - + absolute neutrophil count - + absolute band count - - -It has to be admitted that some of these selections are based on inappropriate methods, e.g., use of univariate logistic regression screening, or were derived for special settings or cohorts, e.g. use in emergency room, or use in children. - -Out of the set of variables used in the models of the cited 5 papers, the following six variables also available in our data set and are considered as very important predictors (VIPs): - -* age (mentioned in 3 papers) -* leukocytes (WBC) (2) -* blood urea neutrogen (BUN) (1) -* creatinine (KREA) (1) -* thrombocytes (PLT) (1) -* neutrophiles (NEU) (1) - - -Based on this review, we consider age and leukocytes (WBC) as pivotal covariates for the research question. - - - *3.2. Domain expertise may also be useful to specify in advance which variables are expected to correlate with each other. This background knowledge could be summarized in a directed or undirected acyclic graph connecting the covariates with each other as also suggested by Heinze et al, 2018.* - - Important variable groups for modeling may be from the group of leukocytes, kidney function related parameters and parameters indicating a reaction to an acute phase. - - *Leukocytes* - - The following systematic dependencies between variables exist: - - * WBC $\approx$ BASO + EOS + NEU + LYM + MONO - - In some patients, this relation may only approximately apply because they are in an acute infection phase. - - Moreover, the following variables are percentages and hence sum up to 100: - - * `BASOR = BASO / (BASO + EOS + NEU + LYM + MONO) * 100` - * `EOSR = EOS / (BASO + EOS + NEU + LYM + MONO) * 100` - * `NEUR = NEU / (BASO + EOS + NEU + LYM + MONO) * 100` - * `MONOR = MONO / (BASO + EOS + NEU + LYM + MONO) * 100` - * `LYMR = LYM / (BASO + EOS + NEU + LYM + MONO) * 100` - * `BASOR + EOSR + NEU + MONOR + LYMR = 100` - -Therefore, at least one of these five variables is redundant. - - - *Acute phase reaction* - -An acute phase reaction may be indicated by FIB, CRP, and the liver parameters ASAT, ALAT and GGT; hence some correlation between these variables is expected. - - - *Kidney function indicators* - -Potassium level (`K`), blood urea nitrogen (`BUN`) and serum creatinine (Scr, `KREA`) are variables that are related to kidney function. Kidney function is usually expressed as estimated glomerular filtration rate (eGFR). Using the CKD-EPI-formula, eGFR can be computed as follows, with sex-specific constants $\kappa$ (`kappa`) and $\alpha$ (`alpha`): - -$eGFR = 141 \times min(Scr/\kappa, 1)^\alpha \times max(Scr/\kappa, 1)^{-1.209} \times 0.993^{age}$ - -where for males $\kappa = 0.9, \alpha = -0.411$, and for females $\kappa = 0.7, \alpha = -0.329$. - -```{r} - - -kappa <- rep(0.7, nrow(a_bact)) -kappa[a_bact$SEX==1] <- 0.9 -alpha <- rep(-0.329, nrow(a_bact)) -alpha[a_bact$SEX==1] <- -0.411 - -a_bact$eGFR <- 141 * apply(cbind(a_bact$CREA/kappa, 1),1,min)**alpha * apply(cbind(a_bact$CREA/kappa, 1),1,max)**(-1.209) * 0.993**a_bact$AGE * 1.018**(a_bact$SEX==2) - -a_bact$BUN_CREA <- a_bact$BUN / a_bact$CREA - -b_bact <- Hmisc::upData(a_bact , - labels = c(eGFR = 'estimated glomerular filtration rate', - BUN_CREA = 'BUN/Scr ratio'), - units = c(eGFR = 'mL/min/1.73 m^2', - BUN_CREA = 'unitless')) - - -``` - Some correlation between these kidney function indicators (eGFR, potassium, BUN) can be expected. eGFR is a widely accepted and interpretable summary of kidney function. BUN should be in the range 6-20 (8-23 for adults older than 60 years). An ideal ratio of BUN to Scr is between 10 and 20. Ratios higher than 20 may be associated with high protein diet but also with impaired eGFR (lower than 60). - -We define groups of variables: demographical, structural, key predictors, leukocyte-related, leukocyte-ratio-related, kidney-related, acute-phase related: - -```{r} -demog_vars <-c("AGE", "SEX") -structural_vars <- c("WBC", "AGE", "SEX") -key_predictors <- c("WBC", "AGE", "BUN","CREA","NEU","PLT") -leuko_related_vars <-c("WBC", "NEU", "EOS", "BASO", "LYM", "MONO") -leuko_ratio_vars <- c("NEUR", "EOSR", "BASOR", "LYMR", "MONOR") -kidney_related_vars <- c("BUN", "POTASS", "CREA", "eGFR", "BUN_CREA") -acute_related_vars <- c("FIB", "CRP", "ASAT", "ALAT", "GGT") -outcome_vars <-c("BloodCulture", "BC") -remaining_vars <- names(a_bact)[is.na(match(names(a_bact),c("ID", demog_vars, structural_vars, key_predictors,leuko_related_vars,leuko_ratio_vars, kidney_related_vars,acute_related_vars, outcome_vars)))] - -bact_variables <- list(demog_vars=demog_vars, structural_vars=structural_vars, key_predictors=key_predictors, leuko_related_vars=leuko_related_vars, leuko_ratio_vars=leuko_ratio_vars, kidney_related_vars=kidney_related_vars, acute_related_vars=acute_related_vars, - remaining_vars=remaining_vars, outcome_vars=outcome_vars) - -``` - - - - *3.3. Missing value mechanisms: if not already specified in meta data, domain experts should also be consulted to explain possible reasons for the occurrence of missing values for each variable, which may be categorized as systematic or unsystematic.* - - A certain proportion of missing values is expected because of the lab test request which is often specific to the underlying condition. No specific expectations can be made. - -## IDA domains - -### IDA domain: missing values - -*1. Number and proportion of missing values for each independent variable, for the dependent variable and for the analysis as a whole.* - -Number and proportion of missing values will be computed for age, sex, the 49 laboratory variables, BloodCulture, as well as for the analysis as a whole. - -*2. Patterns of missing values across all independent variables, either as tables or appropriately visualized.* - -We will create missing value indicators for each covariate and will then summarize patterns by means of a heat map and a dendogram. - - -### IDA domain: univariate distributions - -*3. For categorical variables (including the dependent variable): frequency and proportion for each category.* - -Sex and BloodCulture will be described by frequencies and proportions. - -*4. For continuous variables (including the dependent variable): high-resolution histogram, summary of main percentiles (1st, 10th, 25th, 50th, 75th, 90th, 99th) and interquartile range, 5 highest and 5 lowest values, first four moments (mean, variance, skewness, curtosis), standard deviation, number of distinct values.* - -Summaries for all 50 continuous variables (age and 49 laboratory variables) will be created to depict their marginal distributions by means of high-resolution histograms. Furthermore, each continuous variable will be described by 1st, 10th, 25th, 50th, 75th, 90th, 99th percentiles, interquartile range, the 5 highest and 5 lowest values, the first four moments (mean, variance, skewness, curtosis), standard deviation, and the number of distinct values. - -The graphical summary for each variable will serve to suggest transformations for each variable: - -* no transformation (in case of approximate symmetry); -* $\log_{10}(x+c)$ or $\log_2(x+c)$ transformation (in case of skewness), determination of the 'safety' constant $c$ as the value that optimizes correlation with standard normal scores. - -The distributions of transformed variables will be evaluated in the same way as the original variables as described above. - -### IDA domain: multivariate system of variables - -*5. Matrix/heatmap of Pearson correlation coefficients between all independent variables.* - -Using the suggested transformations for each variable, Pearson correlation coefficients will be computed between all independent variables. The correlation coefficients will be depicted by means of a (quadratic) heat map. Moreover, a network graph between all independent variables will be constructed, which will be thresholded at an absolute correlation coefficient of 0.3. - -Spearman correlation coefficients will be computed as well, and the 10 pairs of covariates with the largest absolute difference between Pearson and Spearman correlation coefficients will be flagged. These pairs will be graphically investigated by constructing separate scatterplots. - -*6. Appropriate visual presentation of the association of each covariate with the two pivotal covariates.* - -Also for this analysis, transformations of covariates will be used as identified in step 4. - -First, the distribution of age will be depicted as histogram stratified for sex. - -Second, a scatterplot of leukocytes by age will be constructed, using different colours for the two sexes. - -Third, age will be categorized into three groups: $\geq$ 65 years, 50-65 years, $<$ 50 years. Should this lead to a very imbalanced distribution of patients (the largest group containing more than four times as many patients as the smallest group), groups will be defined based on 25th and 75th percentiles. Each lab variable (or its transformation) will then be depicted in a scatterplot with leukocytes (or its transformation) in each of the three age groups, marking the dots with two different colours representing sex. - -Fourth, a heat map of the raw data (or transformations) will be constructed. - -Fifth, a redundancy analysis will be conducted for each variable. This analysis identifies predictors that can be almost perfectly predicted by flexible parametric additive models performed on the companion covariates. As this analysis can only be conducted with complete data for all variables, it will be done - -* based on a flexible parametric additive model only involving the 5 above-mentioned pivotal covariates (complete cases) -* for the complete-cases set using the `rms::redun` function -* for each of 5 randomly selected imputed data sets (after multiple imputation has been conducted) using `rms::redun` - -*7. If interactions between covariates were prespecified to be included in the regression model, special attention should be given to evaluate the bivariate distribution of the interacting covariates. Appropriate graphical displays (see 6) should be used to visualise these distributions.* - -No interactions are assumed to be considered. - - - -## Sources - -Data is available in this repository (subfolder **data**). - -To download the data set, click the [link to data set](https://github.com/bailliem/ida-regression-private/tree/master/data/Bacteremia_public_S2.csv) - -### Data dictionary - -The data dictionary can also be found [in this repository] (https://github.com/bailliem/ida-regression-private/tree/master/misc/bacteremia-DataDictionary.csv) - -## References - -Bates DW, Sands K, Miller E, Lanken PN, Hibberd PL, et al. (1997) Predicting bacteremia in patients with sepsis syndrome. Journal of Infectious Diseases 176: 1538–1551. - -Jaimes F, Arango C, Ruiz G, Cuervo J, Botero J, et al. (2004) Predicting bacteremia at the bedside. Clinical Infectious Diseases 38: 357–362. - -Lee CC, Wu CJ, Chi CH, Lee NY, Chen PL, et al. (2012) Prediction of community-onset bacteremia among febrile adults visiting an emergency department: rigor matters. Diagnostic Microbiology and Infectious Disease 73: 168–173. - -Kuppermann N, Fleisher GR, Jaffe DM (1998) Predictors of occult pneumococcal bacteremia in young febrile children. Annals of Emergency Medicine 31: 679–687. - -Ratzinger, F., Dedeyan, M., Rammerstorfer, M., Perkmann, T., Burgmann, H., Makristathis, A., Dorffner, G., Lötsch, F., Blacky, A., Ramharter, M., 2014. A Risk Prediction Model for Screening Bacteremic Patients: A Cross Sectional Study. PLOS ONE 9, e106765. doi:[10.1371/journal.pone.0106765](https://dx.doi.org/10.1371/journal.pone.0106765) - - -Tudela P, Lacoma A, Prat C, Modol JM, Gimenez M, et al. (2010) Prediction of bacteremia in patients with suspicion of infection in emergency room. Medicina Clinica 135: 685–690. - - - -```{r} - -save(list=c("b_bact", "bact_variables", "demog_vars", "structural_vars","key_predictors","leuko_related_vars","leuko_ratio_vars","kidney_related_vars", "acute_related_vars","remaining_vars"), file = here::here("data", "bact_env_b.rda")) -``` - diff --git a/Bact_intro.qmd b/Bact_intro.qmd index 07dc766..c1d3fdf 100644 --- a/Bact_intro.qmd +++ b/Bact_intro.qmd @@ -1,5 +1,4 @@ -# Bacteremia {#Bacteremia} - +# Bacteremia study {#Bacteremia} ```{r, echo=FALSE, warning=FALSE, message=FALSE, echo=FALSE} ## Load libraries for this chapter @@ -8,9 +7,13 @@ library(tidyverse) library(Hmisc) ``` -# Introduction to Bacteremia -To demonstrate the workflow and content of IDA, we created a hypothetical research aim and corresponding statistical analysis plan, which is described in more detail in the section [Bact_SAP.Rmd](Bact_SAP.Rmd). + +## Hypothetical research aim + +We will exemplify our proposed systematic approach to data screening by means of a diagnostic study with the primary aim of using age, sex and 49 laboratory variables to fit a diagnostic prediction model for the bacteremia status (= presence of bacteria in the blood stream) of a blood sample. A secondary aim of the study is to describe the functional form of each predictor in the model. Between January 2006 and December 2010, patients with the clinical suspicion to suffer from bacteremia were included if blood culture analysis was requested by the responsible physician and blood was sampled for assessment of hematology and biochemistry. An analysis of this study can be found in Ratzinger et al: "A Risk Prediction Model for Screening Bacteremic Patients: A Cross Sectional Study" [Ratzinger et al, PLoS One 2014](https://doi.org/10.1371/journal.pone.0106765). + +To demonstrate the workflow and content of IDA, we created a hypothetical research aim and corresponding statistical analysis plan, which is described in more detail in the section [Bact_IDA_plan.qmd](Bact_IDA_plan.qmd). **Hypothetical research aim for IDA** is to develop a multivariable diagnostic model for bacteremia using 49 continuous laboratory blood parameters, age and gender with the primary aim of prediction and a secondary aim of describing the association of each variable with the outcome ('explaining' the multivariable model). @@ -19,16 +22,16 @@ A diagnostic prediction model was developed based on this data set and validated ## Dataset Description -Ratzinger et al (2014) performed a diagnostic study in which age, sex and 49 laboratory variables can be used to diagnose bacteremia status of a blood sample using a multivariable model. Between January 2006 and December 2010, patients with the clinical suspicion to suffer from bacteraemia were included if blood culture analysis was requested by the responsible physician and blood was sampled for assessment of haematology and biochemistry. The data consists of 14,691 observations from different patients. +The data consists of 14,691 observations from different patients and 51 potential predictors. To protect data privacy our version of this data was slightly modified compared to the original version, and this modified version was cleared by the Medical University of Vienna for public use (DC 2019-0054). Compared to the official results given in Ratzinger et al (2014), our results may differ to a negligible degree. + + +In the original paper describing the study [(Ratzinger et al, PLoS One 2014)](https://doi.org/10.1371/journal.pone.0106765), a machine learning approach was taken to diagnose a positive status of blood culture. The true status was determined for all blood samples by blood culture analysis, which is the gold standard. -Our version of this data was slightly modified compared to original version, and this modified version was cleared by the Medical University of Vienna for public use (DC 2019-0054). Variable names have been kept as they were (partly German abbreviations). A data dictionary is available in the **misc** folder of the project directory ('bacteremia-DataDictionary.csv'). -In the original paper describing the study [(Ratzinger et al, PLoS One 2014)](https://doi.org/10.1371/journal.pone.0106765), a machine learning approach was taken to diagnose a positive status of blood culture. The true status was determined for all blood samples by blood culture analysis, which is the gold standard. Here we will make use of a multivariable logistic regression model. -## Bacteremia dataset contents -### Source dataset +## Source dataset We refer to the source data set as the dataset available in this repository. diff --git a/Bact_missing.qmd b/Bact_missing.qmd index 5861489..2a93f04 100644 --- a/Bact_missing.qmd +++ b/Bact_missing.qmd @@ -1,4 +1,6 @@ -# Missing data +# Results of ID: Missing data {#Missing} + + ```{r, echo=FALSE, warning=FALSE, message=FALSE, echo=FALSE} @@ -15,9 +17,9 @@ load(here::here("data", "bact_env_b.rda")) ``` -## Per variable missingness +### M1: Prevalence of missing values -Number and percentage of missing. +Number and percentage of missingness for each predictor, sorted by descending missingness proportion. ```{r, message =FALSE, warning =FALSE , echo=FALSE} b_bact %>% @@ -37,25 +39,25 @@ b_bact %>% ``` -Investigate for groups of variables: +### M2: Complete cases + +Number of available complete cases (outcome and predictors): ```{r, message =FALSE, warning =FALSE , echo=FALSE} + + b_bact %>% select() %>% - mutate(Any_Variable_missing = ifelse(apply(b_bact,1,any_miss),NA,1)) %>% - mutate(Any_Demographics_missing = ifelse(apply(b_bact[,demog_vars],1,any_miss),NA,1)) %>% - mutate(Any_key_structural_missing = ifelse(apply(b_bact[,c(demog_vars,structural_vars, key_predictors)],1,any_miss),NA,1)) %>% - mutate(Any_Leuko_missing = ifelse(apply(b_bact[,c(leuko_related_vars)],1,any_miss),NA,1)) %>% - mutate(Any_Kidney_missing = ifelse(apply(b_bact[,c(kidney_related_vars)],1,any_miss),NA,1)) %>% - mutate(Any_Acute_missing = ifelse(apply(b_bact[,c(acute_related_vars)],1,any_miss),NA,1)) %>% - mutate(Any_remaining_missing = ifelse(apply(b_bact[,c(remaining_vars)],1,any_miss),NA,1)) %>% - mutate(Any_key_structural_leuko_kidney_acute_missing = ifelse(apply(b_bact[,c(demog_vars,structural_vars, key_predictors, leuko_related_vars, leuko_ratio_vars, kidney_related_vars, acute_related_vars)],1,any_miss),NA,1)) %>% - miss_var_summary() %>% + mutate(Structural_variables = ifelse(apply(b_bact[,structural_vars],1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(Key_predictors = ifelse(apply(b_bact[,c(key_predictors)],1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(Predictors_of_medium_importance = ifelse(apply(b_bact[,c(medimp_predictors)],1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(All_predictors = ifelse(apply(b_bact,1,function(X) 1-any_miss(X)),NA,1)) %>% + miss_var_summary(order=FALSE) %>% gt::gt() %>% gt::cols_label( - variable = md("**Variable**"), - n_miss = md("**Missing (count)**"), - pct_miss = md("**Missing (%)**") + variable = md("**Set**"), + n_miss = md("**Complete (count)**"), + pct_miss = md("**Complete (%)**") ) %>% gt::fmt_number( columns = vars(pct_miss), @@ -64,36 +66,54 @@ b_bact %>% ``` -From this table we learn that as long as we model with only VIPs or with leukocyte-related variables, we can expect less than 10% missing values and this may justify a complete-case analysis. Including also kidney- and acute phase related variables will raise the proportion of missing values to about 36% which leads to a significant drop in power. A multiple imputation may then recover a lot of the information and may in particular be beneficial to keep the power of the (otherwise very complete) VIPs. +### ME1: Patterns of missing values -## Missingness patterns over variables +#### Complete cases by strata defined by structural variables +```{r, message =FALSE, warning =FALSE , echo=FALSE} -First we create a dendogram that shows which variables tend to be missing together: +## @Mark: can you please make the table nicer? I can't get a proper structure with GENDER and AGEGROUP. + +b_bact %>% + select(GENDER, AGEGROUP) %>% + mutate(All_predictors = ifelse(apply(b_bact,1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(Structural_variables = ifelse(apply(b_bact[,structural_vars],1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(Key_predictors = ifelse(apply(b_bact[,c(key_predictors)],1,function(X) 1-any_miss(X)),NA,1)) %>% + mutate(Predictors_of_medium_importance = ifelse(apply(b_bact[,c(medimp_predictors)],1,function(X) 1-any_miss(X)),NA,1)) %>% + group_by(GENDER, AGEGROUP) %>% + miss_var_summary(order=FALSE) %>% + gt::gt() %>% + gt::cols_label( +# GENDER = md("**Sex**"), +# AGEGROUP = md("**Age group**"), + variable = md("**Set**"), + n_miss = md("**Complete (count)**"), + pct_miss = md("**Complete (%)**") + ) %>% + gt::fmt_number( + columns = vars(pct_miss), + decimals = 2 + ) -```{r, message =FALSE, warning =FALSE , echo=FALSE} -s_bact <- b_bact[sample(1:nrow(b_bact), size=10000, repl=FALSE),] -is_bact <- is.na(b_bact)*1 -exl_vars <- which(colnames(is_bact) %in% c("BC","BloodCulture","ID")) -perc_miss <- round(apply(is_bact, 2, mean)*100,0) -colnames(is_bact)<-paste(colnames(is_bact),"(",perc_miss,")",sep="") -hobj <- hclust(dist(t(is_bact[,-exl_vars]))) -plot(hobj, cex=0.5) ``` -Furthermore, with variables missing in more than 10% of the cases, we create a heatmap that simultaneously shows the clusters of patients with missing values and the variables: +#### Dendrogram of missingness indicators + +The dendrogram depicts the results of a cluster analysis using the complete linkage method based on the percentage of discordant missing indicators. (This percentage was computed via the squared Euclidian distance of missingness indicators between predictors.) The vertical axis shows the distance between two clusters, which is given by the maximum distance between any element of the first and the second clusters. For example, if two clusters are merged at a height of 25 it means that in 25% of the observations the missingness indicators of the most discordant predictors contained in the two clusters are discordant. +The numbers in brackets are the percentages of missing observations for each predictor. ```{r, message =FALSE, warning =FALSE , echo=FALSE} -heatmap(is_bact[,perc_miss>10]) -# naniar::vis_miss(sort_miss = TRUE, cluster=TRUE,show_perc_col = FALSE) +is_bact <- is.na(b_bact)*1 +exl_vars <- which(colnames(is_bact) %in% c("BC","BloodCulture","ID","AGEGROUP","SEX")) +perc_miss <- round(apply(is_bact, 2, mean)*100,0) +colnames(is_bact)<-paste(colnames(is_bact),"(",perc_miss,")",sep="") +hobj <- hclust(dist(t(is_bact[,-exl_vars]))^2 / nrow(b_bact) * 100) +plot(hobj, cex=0.5, ylab="Percent discordantly missing", hang=0.01) ``` -In this heatmap, we see that CHOL and TRIG are always missing together (lowest hierarchy in dendogram), but there are no further such pairs among any other variables. There is also some evidence that when CHOL and TRIG are missing, also PAMY is missing, although this is not the case for a small proportion of patients. The big white space in the middle of the heatmap represents the approx. 30% of patients with no missing values in those variables. - - diff --git a/_quarto.yml b/_quarto.yml index 258e3c9..a4f582a 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -16,7 +16,7 @@ book: - scope.qmd - data_screen.qmd - Bact_intro.qmd - - Bact_SAP.qmd + - Bact_IDA_plan.qmd - Bact_missing.qmd - Pseudo_log_explainer.qmd - Bact_univar.qmd ## long running jobs - use ARd or freeze diff --git a/data/a_bact.rda b/data/a_bact.rda index 55cff6ebbd5a9d31ddd77775d8a16860b5ef61c8..b31ceea997399675dcc6fc4233a4cbe01297f087 100644 GIT binary patch delta 1123842 zcmXuKcQ~8<`#%0|`;^BhpO#YlsS$g{j`g&t+O?{7RYdJgDDIY`YSoB{J!8|Fr9n|7 z2(4LKJ7U+~>vwycTg;8m3wk_8}v>p2G-Q`H`q+o940K-qkCsr`$x!%JJ$ z+oz|JlAqc#N21SHeh%uc6ndXo>8@|W{c8Yu^Q?7!I{xD1KEejcYX^3md8YrM_?>aT z;GY!VUf5#Rdwss*8e?MV+=$<*!hTkyK0|ToaKF=^I!_B&Wmbc}VsXpxj}?-ySCD*2 zmf^tez&*z>sR_)yZU91FDobI&$}wAN#(Y-9KNVJ<88;w2pucp>5xv{68^2q%n+@!? 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