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On data depth and distribution-free discriminant analysis using separating surfaces

Anil K. Ghosh, Probal Chaudhuri
2005 Bernoulli  
Fisher's discriminant analysis, which is primarily motivated by the multivariate normal distribution, uses the first-and second-order moments of the training sample to build such classifiers.  ...  This paper investigates two distribution-free methods for linear classification, which are based on the notions of statistical depth functions.  ...  Chaudhuri Data depth and distribution-free discriminant analysis  ... 
doi:10.3150/bj/1110228239 fatcat:swtygz77uvcvthiqqtqjsj2dgy

Linear discriminant analysis for two classes via removal of classification structure

M. Aladjem
1997 IEEE Transactions on Pattern Analysis and Machine Intelligence  
A new method for two-class linear discriminant analysis, called "removal of classification structure", is proposed.  ...  It is free to search for discriminant directions oblique to each other and ensures that the informative directions already found will not be chosen again at a later stage.  ...  In this paper we discuss discriminant analysis for two classes [12] . Scatter plots intended for discriminant analysis are called discriminant plots.  ... 
doi:10.1109/34.574805 fatcat:lry53rciaff5lilmwjqady54mi

Differentiation of free-ranging chicken using discriminant analysis of phenotypic traits

Raed M. Al-Atiyat, Riyadh S. Aljumaah, Alaeldein M. Abudabos, Masoud N. Alotybi, Raafat M. Harron, Abdulaziz S. Algawaan, Hassan S. Aljooan
2017 Revista Brasileira de Zootecnia  
Differentiation of freeranging chicken using discriminant analysis of phenotypic traits. Revista Brasileira de Zootecnia 46(10):791-799.  ...  In this study, we investigated the differentiation of five different chicken ecotypes -Center, North, South, West, and East -of Saudi Arabia using discriminate analysis.  ...  Shank Differentiation of free-ranging chicken using discriminant analysis of phenotypic traits R. Bras.  ... 
doi:10.1590/s1806-92902017001000001 fatcat:d2wdnuukt5dqjb62dzvc6d7qwe

Classification of the U.S. Business Cycle by Dynamic Linear Discriminant Analysis [chapter]

Roland Schuhr
2007 Studies in Classification, Data Analysis, and Knowledge Organization  
Linear discriminant analysis (LDA) was well established by Meyer and Weinberg and by Heilemann and Münch as a technique for the analysis of business cycles.  ...  This paper presents a dynamic version (DLDA) of linear discriminant analysis and a dynamic measure of separation as additional instruments for business cycle analysis. 1  ...  In the case of uniform a priori class probabilities, Wald's procedure is statistically equivalent to Fisher's distribution-free procedure (see e.g.  ... 
doi:10.1007/978-3-540-70981-7_32 fatcat:lp7w4ts65rgw7gbrbcmsg6s6om

The combination of human glandular kallikrein and free prostate-specific antigen (PSA) enhances discrimination between prostate cancer and benign prostatic hyperplasia in patients with moderately increased total PSA

A Magklara, A Scorilas, W J Catalona, E P Diamandis
1999 Clinical Chemistry  
Statistical analysis was performed to investigate the potential utility of the various markers or their combinations in discriminating between benign prostatic hyperplasia and prostatic carcinoma. hK2  ...  Among the refinements developed to enhance PSA specificity is the free/total PSA ratio, which is useful in discriminating between the two diseases within the diagnostic "gray zone".  ...  Fig. 3 . 3 Distribution of hK2/free PSA ratios in BPH and CaP patients. Fig. 5 . 5 Distribution of hK2/free PSA ratios in BPH and CaP patients with total PSA Ͻ4.5 g/L.  ... 
pmid:10545066 fatcat:lzqydf3fxvf4pdcz732ey4csiq

Factors that Affect Poverty Areas in North Sumatera Using Discriminant Analysis

D H Nasution, P Bangun, H R Sitepu
2018 IOP Conference Series: Materials Science and Engineering  
Using discriminant analysis, it is evident that the factor affecting poverty is Unemployment Rate.  ...  Discriminant analysis is one multivariate analysis technique are used to classify the data into a group based on the dependent variable and independent variable.  ...  Assumptions in Discriminant Analysis In addition to the basic and discriminant goals, it turns out there are assumptions that must be fulfilled prior to discriminant analysis, ie distributed free variables  ... 
doi:10.1088/1757-899x/335/1/012043 fatcat:fbtfmam2fzhytmt4xjfyovdcz4

Convergent and Discriminant Validity in Item Analysis

David J. Krus, Robert G. Ney
1978 Educational and Psychological Measurement  
TRADITIONALLY, various discrimination indices in item analysis are computed for the scored alternative only.  ...  EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT 1978, 38 CONVERGENT AND DISCRIMINANT VALIDITY IN ITEM ANALYSIS DAVID J. KRUS anpD ROBERT G.  ... 
doi:10.1177/001316447803800118 fatcat:yditjz2kqfcapom5ldy7v5dgf4

Page 503 of Journal of Aircraft Vol. 13, Issue 7 [page]

1976 Journal of Aircraft  
'* Nash,'* and Vasiliu'® have used the similarity between the velocity distribution of a free shear and the velocity distribution of a jet flow in the analyses of problems involving such free shear layers  ...  The free shear layers encountered here will be treated in a like manner, i.e., a jet flow velocity distribution will be chosen to model the shear distribution and recir- culating region.  ... 

Univariate Two-Population Distribution-Free Discrimination

David S. Stoller
1954 Journal of the American Statistical Association  
UNIVARIATE TWO-POPULATION DISTRIBUTION-FREE DISCRIMINATION Davin S.  ...  A DISTRIBUTION-FREE DISCRIMINATION PROCEDURE An estimate of the discriminating point, ¢, will be made by first con- sidering a distribution-free estimate of the function, Q(z).  ... 
doi:10.1080/01621459.1954.10501233 fatcat:6pvicsslrrhzplcpqmg4xc4eca

Probability rule for chiral recognition

Ran Kafri, Doron Lancet
2004 Chirality  
The distribution of a = kV D /kV L values was found to follow a power law, equivalent to an exponential decay for chiral differential free energies.  ...  B: The dependence of the distribution P(DDG), the enantiomer discriminating free-energy difference distribution, on the molecular weight of the chiral selectors.  ...  Analysis was performed by subjecting the discrimination data to binning whereby normalized histograms were constructed describing the frequencies of the different free-energy values or energy differences  ... 
doi:10.1002/chir.20049 pmid:15190582 fatcat:lmk37cdi2zenxfx4njknbsr44i

Simulation and Non-Invasive Testing of Vinegar Storage Time by Olfaction Visualization System and Volatile Organic Compounds Analysis

Hao Lin, Jinjin Lin, Benteng Song, Quansheng Chen
2021 Foods  
Under the new reaction chamber, principal component analysis (PCA) and linear discriminant analysis (LDA) were employed to identify vinegar samples with different storage time through analyzing their VOCs  ...  The new reaction chamber could improve the stability and precision of an olfactory visualization system for VOCs analysis, and achieve the accurate differentiation and rapid discrimination of Zhenjiang  ...  Figure 5 and Table 2 show the LDA discrimination analysis results in the new reaction chamber and free gas volatile reaction chamber, respectively.  ... 
doi:10.3390/foods10030532 pmid:33806429 fatcat:nimy4ks7srf7rouqn6ebvrjieq

Internal properties of the CASH nursing care evaluation instrument

R L Smith
1975 Health Services Research  
This article reports an analysis of the internal properties of an instrument that has been widely used to measure the quality of nursing care.  ...  For the "housekeeping" question set, the range and distribution of Discrimination Index values were comparable to those found in the overall analysis.  ...  Analysis of Data Item Analysis Table 1 , which lists illustrative questions, also shows the response distributions for both observers.  ... 
pmid:1219002 pmcid:PMC1071842 fatcat:zzz6bm5jgbdxhd6em5dghk3asy

Matrix Discriminant Analysis Evidenced Surface-Lithium as an Important Factor to Increase the Hydrolytic Saccharification of Sugarcane Bagasse

Ana Sílvia de Almeida Scarcella, Alexandre Favarin Somera, Christiane da Costa Carreira Nunes, Eleni Gomes, Ana Claudia Vici, Marcos Silveira Buckeridge, Maria de Lourdes Teixeira de Moraes Polizeli
2019 Molecules  
However, there were correlations between the Li+ distribution patterns and the enzymatic activities that should to be shown.  ...  Li+ was an activator in solution, but its presence and distribution pattern on the substrate was prejudicial to the saccharification.  ...  Figure 2 . 2 Mixture Discriminant Analysis and distribution patterns of Li + on the surface of sugarcane bagasse. Pretreatments are grouped into conjuncts.  ... 
doi:10.3390/molecules24193614 pmid:31597244 pmcid:PMC6804010 fatcat:xizb6ranabdctdqacz7dw5lhni

Page 95 of Astronomy and Astrophysics Vol. 235, Issue 1-2 [page]

1990 Astronomy and Astrophysics  
Discriminant analysis associates each class w;€Q to a region KR; < R?  ...  On the other hand, discriminant analysis has a different but related task.  ... 

Combining diagnostic test results to increase accuracy

M. S. Pepe
2000 Biostatistics  
We propose a distribution-free rank-based approach for optimizing the area under the ROC curve and compare it with logistic regression and with classic linear discriminant analysis (LDA).  ...  The distribution-free method is generalized to a smooth distribution-free approach to: (i) accommodate some reasonable smoothness assumptions; (ii) incorporate covariate effects; and (iii) yield optimized  ...  Also shown are pointwise 90% confidence intervals based on the distribution-free estimator and its bootstrap distribution. bution of (Y 1 , Y 2 ), but the binormal linear discriminant analysis method does  ... 
doi:10.1093/biostatistics/1.2.123 pmid:12933515 fatcat:4e37nevsnrdknbckylmpspa2rm
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