EDA
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuZm9yKHZhciBpbiBuYW1lcyhzdGF0aWNfZGYpKXtcbiAgdW5pcXVlX3ZhbHMgPC0gbmEub21pdCh1bmlxdWUoc3RhdGljX2RmW1t2YXJdXSkpXG4gIGlmKGxlbmd0aCh1bmlxdWVfdmFscykgPCA1KXtcbiAgICBjYXQodmFyLCBcIlxcblwiKVxuICAgIHByaW50KHRhYmxlKHN0YXRpY19kZltbdmFyXV0sIHVzZU5BID0gXCJpZmFueVwiKSlcbiAgICBjYXQoc3RycmVwKFwiKlwiLCAyMCksIFwiXFxuXCIpXG4gIH1cbn1cbmBgYCJ9 -->
```r
for(var in names(static_df)){
unique_vals <- na.omit(unique(static_df[[var]]))
if(length(unique_vals) < 5){
cat(var, \\n\)
print(table(static_df[[var]], useNA = \ifany\))
cat(strrep(\*\, 20), \\n\)
}
}
```
<!-- rnb-source-end -->
```r
for(var in names(static_df)){
unique_vals <- na.omit(unique(static_df[[var]]))
if(length(unique_vals) < 5){
cat(var, \\n\)
print(table(static_df[[var]], useNA = \ifany\))
cat(strrep(\*\, 20), \\n\)
}
}
<!-- rnb-source-end -->
<!-- rnb-output-end -->
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G1;H1;Errorh: object ‘static_df’ not found Error during wrapup: not
that many frames on the stack Error: no more error handlers available
(recursive errors?); invoking ‘abort’ restart g
<!-- rnb-output-end -->
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static_df <- read.csv(\oasis_cross-sectional.csv\) %>%
clean_names() %>%
select(-hand) %>% # they are all right handed
mutate(across(
where(~ is.numeric(.) && any(is.na(.))), ~ coalesce(., mean(., na.rm = TRUE))),
cdr = as.factor(cdr), # target variable
dementia = as.factor(ifelse(cdr == 0, 0, 1)),
)
print(sample_n(static_df, 50))
<!-- rnb-output-end -->
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```r
```r
static_df <- read.csv(\oasis_cross-sectional.csv\) %>%
clean_names() %>%
select(-hand) %>% # they are all right handed
mutate(across(
where(~ is.numeric(.) && any(is.na(.))), ~ coalesce(., mean(., na.rm = TRUE))),
cdr = as.factor(cdr), # target variable
dementia = as.factor(ifelse(cdr == 0, 0, 1)),
)
print(sample_n(static_df, 50))
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
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 <\/script>\n<\/div>\n\n<!-- rnb-frame-end -->\n\n<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuXG5sb25naV9kZiA8LSByZWFkLmNzdihcIm9hc2lzX2xvbmdpdHVkaW5hbC5jc3ZcIikgJT4lIFxuICBjbGVhbl9uYW1lcygpXG5wcmludChzYW1wbGVfbihsb25naV9kZiwgNTApKVxuYGBgIn0= -->\n\n```r\n\nlongi_df <- read.csv(\\oasis_longitudinal.csv\\) %>% \n  clean_names()\nprint(sample_n(longi_df, 50))\n```\n\n<!-- rnb-source-end -->\n"} -->
longi_df <- read.csv(\oasis_longitudinal.csv\) %>%
clean_names()
print(sample_n(longi_df, 50))
<!-- rnb-output-end -->
<!-- rnb-output-begin 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 -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuXG5sb25naV9kZiA8LSByZWFkLmNzdihcXG9hc2lzX2xvbmdpdHVkaW5hbC5jc3ZcXCkgJT4lIFxuICBjbGVhbl9uYW1lcygpXG5wcmludChzYW1wbGVfbihsb25naV9kZiwgNTApKVxuYGBgXG5gYGAifQ== -->
```r
```r
longi_df <- read.csv(\oasis_longitudinal.csv\) %>%
clean_names()
print(sample_n(longi_df, 50))
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-output-begin {"data":"\n<!-- rnb-frame-begin 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## Understanding the data
**Summary: ** This set consists of a longitudinal collection of 150 subjects aged 60 to 96. Each subject was scanned on two or more visits, separated by at least one year for a total of 373 imaging sessions. For each subject, 3 or 4 individual T1-weighted MRI scans obtained in single scan sessions are included. The subjects are all right-handed and include both men and women. 72 of the subjects were characterized as nondemented throughout the study. 64 of the included subjects were characterized as demented at the time of their initial visits and remained so for subsequent scans, including 51 individuals with mild to moderate Alzheimer’s disease. Another 14 subjects were characterized as nondemented at the time of their initial visit and were subsequently characterized as demented at a later visit.
### What do variables stand for
* **Subject.ID**
* **MRI.ID**
* **Group** *(Converted / Demented / Nondemented)*
* **Visit** - Number of visit
* **MR.Delay** ???
#### Demographics Info
* **M.F** - Gender
* **Hand** - Handedness *(actually all subjects were right-handed so I will drop this column)*
* **Age**
* **EDUC** - Years of education
* **SES** - Socioeconomic status as assessed by the Hollingshead Index of Social Position and classified into categories from *1 (highest status)* to *5 (lowest status)*
#### Clinical Info
* **MMSE** - Mini-Mental State Examination score *(range is from 0 = worst to 30 = best) *
* **CDR** - Clinical Dementia Rating *(0 = no dementia, 0.5 = very mild AD, 1 = mild AD, 2 = moderate AD)*
#### Derived anatomic volumes
* **eTIV** - Estimated total intracranial volume, mm3
* **nWBV** - Normalized whole-brain volume, expressed as a percent of all voxels in the atlas-masked image that are labeled as gray or white matter by the automated tissue segmentation process
* **ASF** - Atlas scaling factor (unitless). Computed scaling factor that transforms native-space brain and skull to the atlas target (i.e., the determinant of the transform matrix)
### Mini–Mental State Examination (MMSE)
The Mini–Mental State Examination (MMSE) or Folstein test is a 30-point questionnaire that is used extensively in clinical and research settings to measure cognitive impairment. It is commonly used in medicine and allied health to screen for dementia. It is also used to estimate the severity and progression of cognitive impairment and to follow the course of cognitive changes in an individual over time; thus making it an effective way to document an individual's response to treatment. The MMSE's purpose has been not, on its own, to provide a diagnosis for any particular nosological entity.
**Interpretations**
Any score greater than or equal to 24 points (out of 30) indicates a normal cognition. Below this, scores can indicate severe (≤9 points), moderate (10–18 points) or mild (19–23 points) cognitive impairment. The raw score may also need to be corrected for educational attainment and age. That is, a maximal score of 30 points can never rule out dementia. Low to very low scores correlate closely with the presence of dementia, although other mental disorders can also lead to abnormal findings on MMSE testing. The presence of purely physical problems can also interfere with interpretation if not properly noted; for example, a patient may be physically unable to hear or read instructions properly, or may have a motor deficit that affects writing and drawing skills.
*Information was taken from [Wikipedia page](https://en.wikipedia.org/wiki/Mini%E2%80%93Mental_State_Examination).*
### Clinical Dementia Rating (CDR)
The CDRâ„¢ in one aspect is a 5-point scale used to characterize six domains of cognitive and functional performance applicable to Alzheimer disease and related dementias: Memory, Orientation, Judgment & Problem Solving, Community Affairs, Home & Hobbies, and Personal Care. The necessary information to make each rating is obtained through a semi-structured interview of the patient and a reliable informant or collateral source (e.g., family member) referred to as the CDRâ„¢ Assessment Protocol.
The CDRâ„¢ Scoring Table provides descriptive anchors that guide the clinician in making appropriate ratings based on interview data and clinical judgment. In addition to ratings for each domain, an overall CDRâ„¢ score may be calculated through the use of an CDRâ„¢ Scoring Algorithm. This score is useful for characterizing and tracking a patient's level of impairment/dementia:
* 0 = Normal
* 0.5 = Very Mild Dementia
* 1 = Mild Dementia
* 2 = Moderate Dementia
* 3 = Severe Dementia
*Information was taken from [The Charles F. and Joanne Knight Alzheimer's Disease Research Center website](http://alzheimer.wustl.edu/cdr/cdr.htm). There you can also find an [interpratation table of results](http://knightadrc.wustl.edu/cdr/PDFs/CDR_Table.pdf).*
### Estimated total intracranial volume (eTIV)
The ICV measure, sometimes referred to as total intracranial volume (TIV), refers to the estimated volume of the cranial cavity as outlined by the supratentorial dura matter or cerebral contour when dura is not clearly detectable. ICV is often used in studies involved with analysis of the cerebral structure under different imaging modalities, such as Magnetic Resonance (MR), MR and Diffusion Tensor Imaging (DTI), MR and Single-photon Emission Computed Tomography (SPECT), Ultrasound and Computed Tomography (CT). ICV consistency during aging makes it a reliable tool for correction of head size variation across subjects in studies that rely on morphological features of the brain. ICV, along with age and gender are reported as covariates to adjust for regression analyses in investigating progressive neurodegenerative brain disorders, such as Alzheimer's disease, aging and cognitive impairment. ICV has also been utilized as an independent voxel based morphometric feature to evaluate age-related changes in the structure of premorbid brai, determine characterizing atrophy patterns in subjects with mild cognitive impairment (MCI) and Alzheimer's disease (AD), delineate structural abnormalities in the white matter (WM) in schizophrenia, epilepsy, and gauge cognitive efficacy.
*Information was taken from [PubMed Central® website](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4423585/).*
### Model Selection
Using 4 Tree Based Models:
1. Decision Trees:
2. Random Forest
3. Gradient Boosting
4. XGBoost ~ LightGBM
#### Model 1: Decision Tree
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>> multicollinearity—a situation where two features are highly correlated, making model coefficients unreliable.
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dmt_recipe <- recipe(dementia ~ ., data = train_data) %>%
step_impute_mean(all_numeric_predictors()) %>%
step_dummy(all_nominal_predictors()) %>%
step_normalize(all_numeric_predictors())
# our model
tree_model <- decision_tree(
mode = \classification\,
cost_complexity = tune(),
tree_depth = tune()
) %>%
set_engine(\rpart\)
# cross-validation
cv_folds <- vfold_cv(train_data, v = 5)
# grid-search
tree_grid <- grid_regular(
cost_complexity(),
tree_depth(range = c(2, 10)),
levels = 5
)
# workflow
tree_workflow <- workflow() %>%
add_recipe(dmt_recipe) %>%
add_model(tree_model)
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<!-- rnb-output-begin 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 -->
<!-- rnb-source-begin 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 -->
```r
```r
dmt_recipe <- recipe(dementia ~ ., data = train_data) %>%
step_impute_mean(all_numeric_predictors()) %>%
step_dummy(all_nominal_predictors()) %>%
step_normalize(all_numeric_predictors())
# our model
tree_model <- decision_tree(
mode = \classification\,
cost_complexity = tune(),
tree_depth = tune()
) %>%
set_engine(\rpart\)
# cross-validation
cv_folds <- vfold_cv(train_data, v = 5)
# grid-search
tree_grid <- grid_regular(
cost_complexity(),
tree_depth(range = c(2, 10)),
levels = 5
)
# workflow
tree_workflow <- workflow() %>%
add_recipe(dmt_recipe) %>%
add_model(tree_model)
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
### Model Tuning
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin 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 -->
# tune parameters
tree_results <- tune_grid(
tree_workflow,
resamples = cv_folds,
grid = tree_grid
)
# best parameters
best_params <- select_best(tree_results, metric = \accuracy\)
<!-- rnb-output-end -->
<!-- rnb-output-begin 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 -->
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```r
```r
# tune parameters
tree_results <- tune_grid(
tree_workflow,
resamples = cv_folds,
grid = tree_grid
)
# best parameters
best_params <- select_best(tree_results, metric = \accuracy\)
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
#### Model Training
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
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final_tree <- finalize_workflow(tree_workflow, best_params)
# Fit the final model on the training data
final_results <- last_fit(final_tree, split = data_split)
# Extract trained model
final_model <- extract_fit_parsnip(final_results)
<!-- rnb-output-end -->
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```r
```r
final_tree <- finalize_workflow(tree_workflow, best_params)
# Fit the final model on the training data
final_results <- last_fit(final_tree, split = data_split)
# Extract trained model
final_model <- extract_fit_parsnip(final_results)
```
```
<!-- rnb-source-end -->
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
### Model Evaluation
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
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```
<!-- rnb-plot-begin eyJoZWlnaHQiOjQzMC4xNjA3LCJ3aWR0aCI6Njk2LCJkcGkiOi0xLCJzaXplX2JlaGF2aW9yIjowLCJjb25kaXRpb25zIjpbXX0= -->
<img src=\data:image/png;base64
```
<!-- rnb-output-end -->
<!-- rnb-output-begin {"data":"\n<!-- rnb-plot-begin -->\n\n<img 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```
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<img src=\data:image/png;base64
```
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\" />\n\n<!-- rnb-plot-end -->\n"} -->
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" />
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Area under Curve Table
| .threshold |
specificity |
sensitivity |
model_name |
| -Inf |
0.0000000 |
1.0000000 |
decision_Tree |
| 0.2016129 |
0.0000000 |
1.0000000 |
decision_Tree |
| 0.9598214 |
0.0327869 |
0.1111111 |
decision_Tree |
| Inf |
1.0000000 |
0.0000000 |
decision_Tree |
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```{=html}
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<table>
<caption>Area under Curve Table</caption>
<thead>
<tr>
<th align="right">.threshold</th>
<th align="right">specificity</th>
<th align="right">sensitivity</th>
<th align="left">model_name</th>
</tr>
</thead>
<tbody>
<tr>
<td align="right">-Inf</td>
<td align="right">0.0000000</td>
<td align="right">1.0000000</td>
<td align="left">decision_Tree</td>
</tr>
<tr>
<td align="right">0.2016129</td>
<td align="right">0.0000000</td>
<td align="right">1.0000000</td>
<td align="left">decision_Tree</td>
</tr>
<tr>
<td align="right">0.9598214</td>
<td align="right">0.0327869</td>
<td align="right">0.1111111</td>
<td align="left">decision_Tree</td>
</tr>
<tr>
<td align="right">Inf</td>
<td align="right">1.0000000</td>
<td align="right">0.0000000</td>
<td align="left">decision_Tree</td>
</tr>
</tbody>
</table>
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```
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**Understanding the Table Columns**
_.threshold_ – These are different threshold values for classification. If the predicted probability is above this threshold, the model classifies the instance as dementia.
_specificity_ – The True Negative Rate, indicating how well the model avoids false positives. Higher specificity means fewer healthy individuals are misclassified as having dementia.
_sensitivity_ – The True Positive Rate, showing how effectively the model identifies dementia cases. A higher sensitivity means the model is good at detecting dementia.
*Interpretation of the Values*
Threshold = -Inf → Sensitivity = 1, Specificity = 0
The model classifies everything as dementia (max sensitivity but 0 specificity).
Threshold = 0.202 → Sensitivity = 1, Specificity = 0
Same scenario: all cases classified as dementia.
Threshold = 0.960 → Sensitivity = 0.111, Specificity = 0.0328
The model starts distinguishing cases but does poorly—many false negatives.
Threshold = Inf → Sensitivity = 0, Specificity = 1
The model classifies everything as non-dementia (max specificity but 0 sensitivity).
*What This Means for Our Model*
The steep drop in sensitivity from _1_ to _0.111_ at threshold = 0.960 suggests that the model struggles to correctly classify dementia cases at higher probability thresholds.
The low specificity at most thresholds indicates that the model misclassifies non-dementia cases frequently.
Ideally, we want a threshold where both _sensitivity_ and _specificity_ are balanced (typically where AUC is maximized).
#### Model 2: Random Forest
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### Model Evaluation
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```
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<img src=\data:image/png;base64
```
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" />
<!-- rnb-plot-end -->
<!-- rnb-output-end -->
<!-- rnb-output-begin eyJkYXRhIjoiXG48IS0tIHJuYi1wbG90LWJlZ2luIGV5Sm9aV2xuYUhRaU9qUXpNQzR4TmpBM0xDSjNhV1IwYUNJNk5qazJMQ0prY0draU9pMHhMQ0p6YVhwbFgySmxhR0YyYVc5eUlqb3dMQ0pqYjI1a2FYUnBiMjV6SWpwYlhYMD0gLS0+XG5cbjxpbWcgc3JjPVxcZGF0YTppbWFnZS9wbmc7YmFzZTY0XG4ifQ== -->
```
<!-- rnb-plot-begin eyJoZWlnaHQiOjQzMC4xNjA3LCJ3aWR0aCI6Njk2LCJkcGkiOi0xLCJzaXplX2JlaGF2aW9yIjowLCJjb25kaXRpb25zIjpbXX0= -->
<img src=\data:image/png;base64
```
<!-- rnb-output-end -->
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\" 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" />
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<!-- rnb-output-end -->
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<!-- rnb-output-begin {"data":"\n```{=html}\n\n<!-- rnb-html-begin eyJtZXRhZGF0YSI6eyJjbGFzc2VzIjpbImtuaXRfYXNpcyJdLCJzaXppbmdQb2xpY3kiOltdfX0= -->\n\n<table>\n\n\n<caption>Area under Curve Table<\/caption>\n\n\n<thead>\n\n\n<tr>\n\n\n<th align=\\right\\>.threshold<\/th>\n\n\n<th align=\\right\\>specificity<\/th>\n\n\n<th align=\\right\\>sensitivity<\/th>\n\n\n<th align=\\left\\>model_name<\/th>\n\n\n<\/tr>\n\n\n<\/thead>\n\n\n<tbody>\n\n\n<tr>\n\n\n<td align=\\right\\>-Inf<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>1.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0103469<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>1.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0166814<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.9629630<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0311581<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.9259259<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0374388<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.8888889<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0433177<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.8518519<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0553400<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.8148148<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0653415<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.7777778<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.0707917<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.7407407<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1037404<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.7037037<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1103567<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.6666667<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1218474<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.6296296<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1268053<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\right\\>0.5925926<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1486723<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.5925926<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1671468<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.5555556<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1704757<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.5185185<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1769939<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.4814815<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.1891902<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.4444444<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.2109813<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.4074074<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.2181192<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.3703704<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.2380095<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.3333333<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.3478493<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.2962963<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.3515555<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.2592593<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.3834093<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.2222222<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.5042206<\/td>\n\n\n<td align=\\right\\>0.0163934<\/td>\n\n\n<td align=\\right\\>0.1851852<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.5172791<\/td>\n\n\n<td align=\\right\\>0.0327869<\/td>\n\n\n<td align=\\right\\>0.1851852<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.6573805<\/td>\n\n\n<td align=\\right\\>0.0327869<\/td>\n\n\n<td align=\\right\\>0.1481481<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.6916299<\/td>\n\n\n<td align=\\right\\>0.0327869<\/td>\n\n\n<td align=\\right\\>0.1111111<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.6969283<\/td>\n\n\n<td align=\\right\\>0.0491803<\/td>\n\n\n<td align=\\right\\>0.1111111<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.7589114<\/td>\n\n\n<td align=\\right\\>0.0491803<\/td>\n\n\n<td align=\\right\\>0.0740741<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8217568<\/td>\n\n\n<td align=\\right\\>0.0655738<\/td>\n\n\n<td align=\\right\\>0.0740741<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8325568<\/td>\n\n\n<td align=\\right\\>0.0655738<\/td>\n\n\n<td align=\\right\\>0.0370370<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8337522<\/td>\n\n\n<td align=\\right\\>0.0819672<\/td>\n\n\n<td align=\\right\\>0.0370370<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8571869<\/td>\n\n\n<td align=\\right\\>0.0819672<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8578753<\/td>\n\n\n<td align=\\right\\>0.0983607<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8606555<\/td>\n\n\n<td align=\\right\\>0.1147541<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8960219<\/td>\n\n\n<td align=\\right\\>0.1311475<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.8968891<\/td>\n\n\n<td align=\\right\\>0.1475410<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9040858<\/td>\n\n\n<td align=\\right\\>0.1639344<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9077773<\/td>\n\n\n<td align=\\right\\>0.1803279<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9202014<\/td>\n\n\n<td align=\\right\\>0.1967213<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9486552<\/td>\n\n\n<td align=\\right\\>0.2131148<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9507128<\/td>\n\n\n<td align=\\right\\>0.2295082<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9528807<\/td>\n\n\n<td align=\\right\\>0.2459016<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9593621<\/td>\n\n\n<td align=\\right\\>0.2622951<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9664536<\/td>\n\n\n<td align=\\right\\>0.2786885<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9685700<\/td>\n\n\n<td align=\\right\\>0.2950820<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9687904<\/td>\n\n\n<td align=\\right\\>0.3114754<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9760288<\/td>\n\n\n<td align=\\right\\>0.3278689<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9799554<\/td>\n\n\n<td align=\\right\\>0.3442623<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9803669<\/td>\n\n\n<td align=\\right\\>0.3606557<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9807368<\/td>\n\n\n<td align=\\right\\>0.3770492<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9822041<\/td>\n\n\n<td align=\\right\\>0.3934426<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9858368<\/td>\n\n\n<td align=\\right\\>0.4098361<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9908436<\/td>\n\n\n<td align=\\right\\>0.4262295<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9953704<\/td>\n\n\n<td align=\\right\\>0.4426230<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9986283<\/td>\n\n\n<td align=\\right\\>0.4590164<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>0.9992284<\/td>\n\n\n<td align=\\right\\>0.4754098<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>1.0000000<\/td>\n\n\n<td align=\\right\\>0.5081967<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<tr>\n\n\n<td align=\\right\\>Inf<\/td>\n\n\n<td align=\\right\\>1.0000000<\/td>\n\n\n<td align=\\right\\>0.0000000<\/td>\n\n\n<td align=\\left\\>random_Forest<\/td>\n\n\n<\/tr>\n\n\n<\/tbody>\n\n\n<\/table>\n\n\n\n\n<!-- rnb-html-end -->\n\n```\n"} -->
Area under Curve Table
| .threshold |
specificity |
sensitivity |
model_name |
| -Inf |
0.0000000 |
1.0000000 |
random_Forest |
| 0.0103469 |
0.0000000 |
1.0000000 |
random_Forest |
| 0.0166814 |
0.0000000 |
0.9629630 |
random_Forest |
| 0.0311581 |
0.0000000 |
0.9259259 |
random_Forest |
| 0.0374388 |
0.0000000 |
0.8888889 |
random_Forest |
| 0.0433177 |
0.0000000 |
0.8518519 |
random_Forest |
| 0.0553400 |
0.0000000 |
0.8148148 |
random_Forest |
| 0.0653415 |
0.0000000 |
0.7777778 |
random_Forest |
| 0.0707917 |
0.0000000 |
0.7407407 |
random_Forest |
| 0.1037404 |
0.0000000 |
0.7037037 |
random_Forest |
| 0.1103567 |
0.0000000 |
0.6666667 |
random_Forest |
| 0.1218474 |
0.0000000 |
0.6296296 |
random_Forest |
| 0.1268053 |
0.0000000 |
0.5925926 |
random_Forest |
| 0.1486723 |
0.0163934 |
0.5925926 |
random_Forest |
| 0.1671468 |
0.0163934 |
0.5555556 |
random_Forest |
| 0.1704757 |
0.0163934 |
0.5185185 |
random_Forest |
| 0.1769939 |
0.0163934 |
0.4814815 |
random_Forest |
| 0.1891902 |
0.0163934 |
0.4444444 |
random_Forest |
| 0.2109813 |
0.0163934 |
0.4074074 |
random_Forest |
| 0.2181192 |
0.0163934 |
0.3703704 |
random_Forest |
| 0.2380095 |
0.0163934 |
0.3333333 |
random_Forest |
| 0.3478493 |
0.0163934 |
0.2962963 |
random_Forest |
| 0.3515555 |
0.0163934 |
0.2592593 |
random_Forest |
| 0.3834093 |
0.0163934 |
0.2222222 |
random_Forest |
| 0.5042206 |
0.0163934 |
0.1851852 |
random_Forest |
| 0.5172791 |
0.0327869 |
0.1851852 |
random_Forest |
| 0.6573805 |
0.0327869 |
0.1481481 |
random_Forest |
| 0.6916299 |
0.0327869 |
0.1111111 |
random_Forest |
| 0.6969283 |
0.0491803 |
0.1111111 |
random_Forest |
| 0.7589114 |
0.0491803 |
0.0740741 |
random_Forest |
| 0.8217568 |
0.0655738 |
0.0740741 |
random_Forest |
| 0.8325568 |
0.0655738 |
0.0370370 |
random_Forest |
| 0.8337522 |
0.0819672 |
0.0370370 |
random_Forest |
| 0.8571869 |
0.0819672 |
0.0000000 |
random_Forest |
| 0.8578753 |
0.0983607 |
0.0000000 |
random_Forest |
| 0.8606555 |
0.1147541 |
0.0000000 |
random_Forest |
| 0.8960219 |
0.1311475 |
0.0000000 |
random_Forest |
| 0.8968891 |
0.1475410 |
0.0000000 |
random_Forest |
| 0.9040858 |
0.1639344 |
0.0000000 |
random_Forest |
| 0.9077773 |
0.1803279 |
0.0000000 |
random_Forest |
| 0.9202014 |
0.1967213 |
0.0000000 |
random_Forest |
| 0.9486552 |
0.2131148 |
0.0000000 |
random_Forest |
| 0.9507128 |
0.2295082 |
0.0000000 |
random_Forest |
| 0.9528807 |
0.2459016 |
0.0000000 |
random_Forest |
| 0.9593621 |
0.2622951 |
0.0000000 |
random_Forest |
| 0.9664536 |
0.2786885 |
0.0000000 |
random_Forest |
| 0.9685700 |
0.2950820 |
0.0000000 |
random_Forest |
| 0.9687904 |
0.3114754 |
0.0000000 |
random_Forest |
| 0.9760288 |
0.3278689 |
0.0000000 |
random_Forest |
| 0.9799554 |
0.3442623 |
0.0000000 |
random_Forest |
| 0.9803669 |
0.3606557 |
0.0000000 |
random_Forest |
| 0.9807368 |
0.3770492 |
0.0000000 |
random_Forest |
| 0.9822041 |
0.3934426 |
0.0000000 |
random_Forest |
| 0.9858368 |
0.4098361 |
0.0000000 |
random_Forest |
| 0.9908436 |
0.4262295 |
0.0000000 |
random_Forest |
| 0.9953704 |
0.4426230 |
0.0000000 |
random_Forest |
| 0.9986283 |
0.4590164 |
0.0000000 |
random_Forest |
| 0.9992284 |
0.4754098 |
0.0000000 |
random_Forest |
| 1.0000000 |
0.5081967 |
0.0000000 |
random_Forest |
| Inf |
1.0000000 |
0.0000000 |
random_Forest |
<!-- rnb-output-end -->
<!-- rnb-output-begin {"data":"\n```{=html}\n\n<!-- rnb-html-begin eyJtZXRhZGF0YSI6eyJtZXRhZGF0YSI6eyJjbGFzc2VzIjoia25pdF9hc2lzIiwic2l6aW5nUG9saWN5IjpbXX19fQ== -->\n\n\r\n<table>\r\n<caption>Area under Curve Table<\/caption>\r\n<thead>\r\n<tr>\r\n<th align=\"right\">.threshold<\/th>\r\n<th align=\"right\">specificity<\/th>\r\n<th align=\"right\">sensitivity<\/th>\r\n<th align=\"left\">model_name<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td align=\"right\">-Inf<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">1.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0103469<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">1.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0166814<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.9629630<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0311581<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.9259259<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0374388<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.8888889<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0433177<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.8518519<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0553400<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.8148148<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0653415<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.7777778<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.0707917<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.7407407<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1037404<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.7037037<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1103567<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.6666667<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1218474<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.6296296<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1268053<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"right\">0.5925926<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1486723<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.5925926<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1671468<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.5555556<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1704757<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.5185185<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1769939<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.4814815<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.1891902<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.4444444<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.2109813<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.4074074<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.2181192<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.3703704<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.2380095<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.3333333<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.3478493<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.2962963<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.3515555<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.2592593<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.3834093<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.2222222<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.5042206<\/td>\r\n<td align=\"right\">0.0163934<\/td>\r\n<td align=\"right\">0.1851852<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.5172791<\/td>\r\n<td align=\"right\">0.0327869<\/td>\r\n<td align=\"right\">0.1851852<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.6573805<\/td>\r\n<td align=\"right\">0.0327869<\/td>\r\n<td align=\"right\">0.1481481<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.6916299<\/td>\r\n<td align=\"right\">0.0327869<\/td>\r\n<td align=\"right\">0.1111111<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.6969283<\/td>\r\n<td align=\"right\">0.0491803<\/td>\r\n<td align=\"right\">0.1111111<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.7589114<\/td>\r\n<td align=\"right\">0.0491803<\/td>\r\n<td align=\"right\">0.0740741<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8217568<\/td>\r\n<td align=\"right\">0.0655738<\/td>\r\n<td align=\"right\">0.0740741<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8325568<\/td>\r\n<td align=\"right\">0.0655738<\/td>\r\n<td align=\"right\">0.0370370<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8337522<\/td>\r\n<td align=\"right\">0.0819672<\/td>\r\n<td align=\"right\">0.0370370<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8571869<\/td>\r\n<td align=\"right\">0.0819672<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8578753<\/td>\r\n<td align=\"right\">0.0983607<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8606555<\/td>\r\n<td align=\"right\">0.1147541<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8960219<\/td>\r\n<td align=\"right\">0.1311475<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.8968891<\/td>\r\n<td align=\"right\">0.1475410<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9040858<\/td>\r\n<td align=\"right\">0.1639344<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9077773<\/td>\r\n<td align=\"right\">0.1803279<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9202014<\/td>\r\n<td align=\"right\">0.1967213<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9486552<\/td>\r\n<td align=\"right\">0.2131148<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9507128<\/td>\r\n<td align=\"right\">0.2295082<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9528807<\/td>\r\n<td align=\"right\">0.2459016<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9593621<\/td>\r\n<td align=\"right\">0.2622951<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9664536<\/td>\r\n<td align=\"right\">0.2786885<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9685700<\/td>\r\n<td align=\"right\">0.2950820<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9687904<\/td>\r\n<td align=\"right\">0.3114754<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9760288<\/td>\r\n<td align=\"right\">0.3278689<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9799554<\/td>\r\n<td align=\"right\">0.3442623<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9803669<\/td>\r\n<td align=\"right\">0.3606557<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9807368<\/td>\r\n<td align=\"right\">0.3770492<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9822041<\/td>\r\n<td align=\"right\">0.3934426<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9858368<\/td>\r\n<td align=\"right\">0.4098361<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9908436<\/td>\r\n<td align=\"right\">0.4262295<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9953704<\/td>\r\n<td align=\"right\">0.4426230<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9986283<\/td>\r\n<td align=\"right\">0.4590164<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">0.9992284<\/td>\r\n<td align=\"right\">0.4754098<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">1.0000000<\/td>\r\n<td align=\"right\">0.5081967<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<tr>\r\n<td align=\"right\">Inf<\/td>\r\n<td align=\"right\">1.0000000<\/td>\r\n<td align=\"right\">0.0000000<\/td>\r\n<td align=\"left\">random_Forest<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\n\n<!-- rnb-html-end -->\n\n```\n"} -->
```{=html}
<!-- rnb-html-begin eyJtZXRhZGF0YSI6eyJtZXRhZGF0YSI6eyJjbGFzc2VzIjoia25pdF9hc2lzIiwic2l6aW5nUG9saWN5IjpbXX19fQ== -->
<table>
<caption>Area under Curve Table</caption>
<thead>
<tr>
<th align="right">.threshold</th>
<th align="right">specificity</th>
<th align="right">sensitivity</th>
<th align="left">model_name</th>
</tr>
</thead>
<tbody>
<tr>
<td align="right">-Inf</td>
<td align="right">0.0000000</td>
<td align="right">1.0000000</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0103469</td>
<td align="right">0.0000000</td>
<td align="right">1.0000000</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0166814</td>
<td align="right">0.0000000</td>
<td align="right">0.9629630</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0311581</td>
<td align="right">0.0000000</td>
<td align="right">0.9259259</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0374388</td>
<td align="right">0.0000000</td>
<td align="right">0.8888889</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0433177</td>
<td align="right">0.0000000</td>
<td align="right">0.8518519</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0553400</td>
<td align="right">0.0000000</td>
<td align="right">0.8148148</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0653415</td>
<td align="right">0.0000000</td>
<td align="right">0.7777778</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.0707917</td>
<td align="right">0.0000000</td>
<td align="right">0.7407407</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1037404</td>
<td align="right">0.0000000</td>
<td align="right">0.7037037</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1103567</td>
<td align="right">0.0000000</td>
<td align="right">0.6666667</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1218474</td>
<td align="right">0.0000000</td>
<td align="right">0.6296296</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1268053</td>
<td align="right">0.0000000</td>
<td align="right">0.5925926</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1486723</td>
<td align="right">0.0163934</td>
<td align="right">0.5925926</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1671468</td>
<td align="right">0.0163934</td>
<td align="right">0.5555556</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1704757</td>
<td align="right">0.0163934</td>
<td align="right">0.5185185</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1769939</td>
<td align="right">0.0163934</td>
<td align="right">0.4814815</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.1891902</td>
<td align="right">0.0163934</td>
<td align="right">0.4444444</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.2109813</td>
<td align="right">0.0163934</td>
<td align="right">0.4074074</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.2181192</td>
<td align="right">0.0163934</td>
<td align="right">0.3703704</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.2380095</td>
<td align="right">0.0163934</td>
<td align="right">0.3333333</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.3478493</td>
<td align="right">0.0163934</td>
<td align="right">0.2962963</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.3515555</td>
<td align="right">0.0163934</td>
<td align="right">0.2592593</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.3834093</td>
<td align="right">0.0163934</td>
<td align="right">0.2222222</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.5042206</td>
<td align="right">0.0163934</td>
<td align="right">0.1851852</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.5172791</td>
<td align="right">0.0327869</td>
<td align="right">0.1851852</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.6573805</td>
<td align="right">0.0327869</td>
<td align="right">0.1481481</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.6916299</td>
<td align="right">0.0327869</td>
<td align="right">0.1111111</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.6969283</td>
<td align="right">0.0491803</td>
<td align="right">0.1111111</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.7589114</td>
<td align="right">0.0491803</td>
<td align="right">0.0740741</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.8217568</td>
<td align="right">0.0655738</td>
<td align="right">0.0740741</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.8325568</td>
<td align="right">0.0655738</td>
<td align="right">0.0370370</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.8337522</td>
<td align="right">0.0819672</td>
<td align="right">0.0370370</td>
<td align="left">random_Forest</td>
</tr>
<tr>
<td align="right">0.8571869</td>
<td align="right">0.0819672</td>
<td align="right">0.0000000</td>
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```
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<!-- rnb-text-begin -->
#### Model 3: Gradient Boost
First, let's quickly discuss the difference between `gradient boost` and `xgboost`; `gradient boost` is a general boosting framework that builds models sequentially. It uses decision trees to minimize errors through gradient descent, in R we use __gbm__ package; `xgboost` is an optimized version that uses L1,L2 regularization to manage overfitting and it supports parallel computing.
<!-- rnb-text-end -->
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```
A gradient boosted model with multinomial loss function.
5000 iterations were performed.
The best test-set iteration was 1266.
There were 8 predictors of which 8 had non-zero influence.
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<!-- rnb-plot-begin -->
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src="data:image/png;base64,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/>
<!-- rnb-plot-end -->
<!-- rnb-output-end -->
<!-- rnb-output-begin eyJkYXRhIjoiXHUwMDFiRzE7XHUwMDFiSDE7RXJyb3JcdTAwMWJoOiBgZGF0YWAgYW5kIGByZWZlcmVuY2VgIHNob3VsZCBiZSBmYWN0b3JzIHdpdGggdGhlIHNhbWUgbGV2ZWxzLlxuXHUwMDFiZ1xuIn0= -->
```
G1;H1;Errorh: `data` and `reference` should be factors with the same levels.
g
```
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<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
#### Model 4:XgBoost
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin eyJkYXRhIjoiTkFcbiJ9 -->
```
NA
```
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin eyJkYXRhIjoiTkFcbiJ9 -->
```
NA
```
<!-- rnb-output-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-output-begin eyJkYXRhIjoiXG48IS0tIHJuYi1zb3VyY2UtYmVnaW4gZXlKa1lYUmhJam9pWUdCZ2NseHVjbTlqWDJGMVl5aHdjbVZrYVdOMGFXOXVjeXdnZEhKMWRHZ2dQU0JrWlcxbGJuUnBZU3dnTG5CeVpXUmZNU2tnWEc1Z1lHQWlmUT09IC0tPlxuXG5gYGByXG5yb2NfYXVjKHByZWRpY3Rpb25zLCB0cnV0aCA9IGRlbWVudGlhLCAucHJlZF8xKSBcbmBgYFxuXG48IS0tIHJuYi1zb3VyY2UtZW5kIC0tPlxuIn0= -->
roc_auc(predictions, truth = dementia, .pred_1)
````
```r
roc_auc(predictions, truth = dementia, .pred_1)
```
AUC = 0.023 suggests our model is barely better than random guessing
(and may even be worse).