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.

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.
Palatal rugae in population differentiation between South and North Indians: A discriminant function analysis.
Since the dependent variable is split in two categories, one discriminant function is estimated with one categorical dependent and seven independent variables.
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.
Table VI.- Percentage of specimens classified in each group from original and cross-validation tests of discriminant function analysis (DFA) on truss-network data.
Discriminant function sexing of fragmentary and complete femora: standards for contemporary Croatia.
Last, "Sex determination from the foramen magnum: discriminant function analysis in an eighteenth and nineteenth century British sample," International Journal of Legal Medicine, vol.
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.
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.
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.
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).
A linear discriminant function, y(x), that can reduce the data to a one-dimensional numerical value is determined: