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Display information for equation id:math.249173.11 on revision:249173

* Page found: Sensitivity and specificity (eq math.249173.11)

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TeX (original user input):

\begin{align}
\text{sensitivity} & = \frac{\text{number of true positives}}{\text{number of true positives} + \text{number of false negatives}} \\ \\
& = \frac{\text{number of true positives}}{\text{total number of sick individuals in population}} \\  \\
& = \text{probability of a positive test, given that the patient is ill}
\end{align}

TeX (checked):

{\begin{aligned}{\text{sensitivity}}&={\frac {\text{number of true positives}}{{\text{number of true positives}}+{\text{number of false negatives}}}}\\\\&={\frac {\text{number of true positives}}{\text{total number of sick individuals in population}}}\\\\&={\text{probability of a positive test, given that the patient is ill}}\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

MathML (8.358 KB / 1.176 KB) :

sensitivity = number of true positives number of true positives + number of false negatives = number of true positives total number of sick individuals in population = probability of a positive test, given that the patient is ill sensitivity absent number of true positives number of true positives number of false negatives missing-subexpression missing-subexpression absent number of true positives total number of sick individuals in population missing-subexpression missing-subexpression absent probability of a positive test, given that the patient is ill {\displaystyle{\begin{aligned}\displaystyle{\text{sensitivity}}&\displaystyle=% {\frac{{\text{number of true positives}}}{{\text{number of true positives}}+{% \text{number of false negatives}}}}\\ \\ &\displaystyle={\frac{{\text{number of true positives}}}{{\text{total number % of sick individuals in population}}}}\\ \\ &\displaystyle={\text{probability of a positive test, given that the patient % is ill}}\end{aligned}}}
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{\frac{{\text{number of true positives}}}{{\text{number of true positives}}+{%
\text{number of false negatives}}}}\\
\\
&amp;\displaystyle={\frac{{\text{number of true positives}}}{{\text{total number %
of sick individuals in population}}}}\\
\\
&amp;\displaystyle={\text{probability of a positive test, given that the patient %
is ill}}\end{aligned}}}</annotation>
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StartLayout 1st Row 1st Column sensitivity 2nd Column equals StartFraction number of true positives Over number of true positives plus number of false negatives EndFraction 2nd Row 1st Column Blank 3rd Row 1st Column Blank 2nd Column equals StartFraction number of true positives Over total number of sick individuals in population EndFraction 4th Row 1st Column Blank 5th Row 1st Column Blank 2nd Column equals probability of a positive test comma given that the patient is ill EndLayout

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