BME $761$: Al in Biomedical Systems

Assignment # $4$: Support Vector Machine $($SVM$)$

Consider the dataset described in Table $1.$ The data consists of clinical data about several patients, relating four features $($Hypertension$,$ Cholesterol level, Smoking and Weight$)$ with the existence of coronary disease.

Table $1$: Data$-$set $D$ with clinical data.

$\backslash$table$[[$Pat$.$ N$.,$Hypertension,Cholesterol Lev.,Smoker,Weight,Coronary Dis.$],[$ID$001,$"Yes","Normal","No$",$"Overweight","Yes"$],[$ID$002,"$No$",$"Normal","Yes","Normal","No$"],[$ID$003,"$No$",$"Critical","No$",$"Overweight","Yes"$],[$ID$004,"$No$",$"High","Yes","Overweight","Yes"$],[$ID$005,$"Yes","Critical","Yes","Obese","Yes"$],[$ID$006,$"Yes","High","Yes","Normal","Yes"$],[$ID$007,"$No$",$"High","No$",$"Obese","No$"],[$ID$008,$"Yes","Normal","Yes","Normal","Yes"$],[$ID$009,$"Yes","Critical","No$",$"Obese","Yes"$],[$ID$010,"$No$",$"Normal","No$",$"Overweight","No$"],[$ID$011,"$No$",$"Critical","Yes","Normal","Yes"$],[$ID$012,$"Yes","High","No$",$"Overweight","No$"],[$ID$013,$"Yes","Normal","Yes","Overweight","Yes"$],[$ID$014,$"Yes","High","No$",$"Obese","No$"],[$ID$015,$"Yes","Normal","Yes","Obese","Yes"$],[$ID$016,"$No$",$"Normal","Yes","Overweight","Yes"$],[$ID$017,$"Yes","High","Yes","Obese","Yes"$]]$

a$)$ Apply SVM classifier on the above data using Matlab $($i$.$e$.$ using "fitcsvm" function$)$ or $(($with RBF kernel, and hold out $(70\%$ training, $30\%$ testing$))$

b$)$ Find the confusion matrix.

c$)$ Calculate accuracy, sensitivity$,$ and specificity.

d$)$ Compare your results with which you got in assignment $1($i$.$e$.$ using Na$$ve Bayes$).$

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