discriminant function


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Related to discriminant function: linear discriminant function

dis·crim·i·nant func·tion

a particular combination of continuous variable test results designed to achieve separation of groups; for example, a single number representing a combination of weighted laboratory test results designed to discriminate between clinical classes.
Farlex Partner Medical Dictionary © Farlex 2012

discriminant function

Any algorithm or assessment tool to evaluate disease severity or guide clinical or administrative decisions in health care. In gastroenterology, e.g., a discriminant function is commonly used to gauge the severity of alcoholic hepatitis. It uses two variables, the patient's measured protime (PT) and total serum bilirubin level. The difference between the patient's PT and the control PT is multiplied by 4.6 and added to the bilirubin level. If the derived number is greater than 32, the patient may benefit from treatment with corticosteroids or pentoxifylline.
See also: function
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Pooled within-groups correlation between discriminating variables and standardized canonical discriminant functions. Variables Function 1 Function 2 Bamboo cover -0.66 (*) Bamboo density -0.62 (*) 0.46 Bamboo height -0.55 (*) 0.05 Slope 0.08 0.66 (*) Herb cover 0.40 -0.53 (*) Number of shrubs 0.24 -0.42 (*) (*) Largest absolute correlation between each variable and the discriminan function.
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According to the equation, the discriminant function score for any set of measurements that is above the cut score is probably for a male individual whereas a score that was below the cut score is probably for a female subject.
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Discriminant Function Analysis of Foramen Magnum Variables in South Indian Population: A Study of Computerised Tomographic Images
The results showed that two statistically significant discriminant functions were formed: Wilks' lambda = 0.044, [X.sup.2] = 86.010, df = 16, and p value = 0.000 for the first function and Wilks' lambda = 0.308, [X.sup.2] = 32.403, df = 7, and p value = 0.000 for the second.
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For training samples with capacity [n.sub.i] from totality [G.sub.i] (where [alpha] = 1,2, ..., [n.sub.i]; I = 1,2, ..., m), all training samples were successively substituted into the established discriminant function and the corresponding criterion was used for water source recognition.
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The significance test of the discriminant function are shown in [Table 4], Wilks' ?' value was 0.530, Chi-square value was 137.535, so the discriminant result was proved to be effective.
A Bayesian Stepwise Discriminant Model for Predicting Risk Factors of Preterm Premature Rupture of Membranes: A Case-control Study
Punniyamoorthy and Thoppan (2012a) have tested for the assumptions governing the use of the Linear Discriminant Function. The assumptions are that the data should be normally distributed (verified using the Q-Q Plot) and that the two groups should have equal variance-covariance matrices (tested using the Box's M Test).
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A linear discriminant function, y(x), that can reduce the data to a one-dimensional numerical value is determined:
A Fisher's Criterion-Based Linear Discriminant Analysis for Predicting the Critical Values of Coal and Gas Outbursts Using the Initial Gas Flow in a Borehole

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