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Computer-aided classification of mammographic masses and normal tissue: linear discriminant analysis in texture feature space.

We studied the effectiveness of using texture features derived from spatial grey level dependence (SGLD) matrices for classification of masses and normal breast tissue on mammograms. One hundred and sixty-eight regions of interest (ROIS) containing biopsy-proven masses and 504 ROIS containing normal breast tissue were extracted from digitized mammograms for this study. Eight features were calculated for each ROI. The importance of each feature in distinguishing masses from normal tissue was determined by stepwise linear discriminant analysis. Receiver operating characteristic (ROC) methodology was used to evaluate the classification accuracy. We investigated the dependence of classification accuracy on the input features, and on the pixel distance and bit depth in the construction of the SGLD matrices. It was found that five of the texture features were important for the classification. The dependence of classification accuracy on distance and bit depth was weak for distances greater than 12 pixels and bit depths greater than seven bits. By randomly and equally dividing the data set into two groups, the classifier was trained and tested on independent data sets. The classifier achieved an average area under the ROC curve, Az, of 0.84 during training and 0.82 during testing. The results demonstrate the feasibility of using linear discriminant analysis in the texture feature space for classification of true and false detections of masses on mammograms in a computer-aided diagnosis scheme.

Biophysical Phenomena↗

Discriminant analysis: a model for the prediction of relapse in Class III children treated orthodontically by a non-extraction technique.

Discriminant analysis has been used to predict the long-term outcome of treatment in children with Class III malocclusions considered suitable for orthodontic correction by a non-extraction technique. Thirty-four children, whose treatment included the application of headgear to the mandibular dentition, formed the basis of this study. Records were examined at the start of treatment and at least 2 years out of all retention. For 25 of these patients, the treatment outcome was unambiguous and from these data a four-variable discriminant model was generated using a step-wise selection procedure, run under SPSS. This afforded 100 per cent correct prediction of the relapse status of all 25 children. The model provided realistic predictions for the remaining nine cases and for seven out of eight other children considered suitable for treatment without extractions, but by a variety of different techniques. The model was not suitable for the prediction of treatment outcome in children who required extractions: these represented a distinctly different sub-group of Class III individuals. Thus, using four measurements taken from the start of treatment records, the eventual outcome of orthodontic treatment can reliably be estimated, provided that the model is restricted to the sub-group of Class III children for whom it was designed. If the discriminant model predicts that this form of therapy will relapse, an alternative approach may be chosen.

Cephalometry↗

Subjective disease experience in Sjögren's syndrome. A computerized discrimination analysis.

A study was made of the ability of a computerized discrimination analysis to distinguish between primary or secondary Sjögren's syndrome on the one hand and, on the other, various rheumatic diseases which may be, but in this study were not, complicated by Sjögren's syndrome. The analysis was based on a questionnaire including 76 two- or three-scale items. Among these 76 questions, five with a maximum potential for distinguishing between various subgroups were selected and obviously represent the questions for the physician to ask when taking the patient's history. As shown by classification matrix tables, computerized analysis of questionnaires might represent a useful way to assess the prevalence of clinical cases of Sjögren's syndrome and to aid health care administrators in assessing the extent of the Sjögren's syndrome problem. In contrast, manual analysis of patients' graded answers did not provide any simple or practicable method for the diagnostic work-up of cases. Therefore it seems that subjective symptoms should not be included in the diagnostic criteria for Sjögren's syndrome, which in clinical work should be based on objective evidence alone.

Arthritis, Rheumatoid↗

Discriminant analysis in the clinical and biochemical diagnosis of primary liver cancer.

Discriminant analysis was used in evaluating the importance of clinical aspects and the value of routine and experimental biochemical markers in the differential diagnosis of primary liver cancer (PLC) and chronic, non-neoplastic, liver diseases. Our results show that: 1) Clinical signs, such as the presence of pain, weight loss or mass, correctly indicate the diagnosis in 76% of the cases; 2) The determination of alkaline phosphatase isoenzymes is shown by the computer to be the most useful marker and provides an overall diagnostic accuracy which is higher than that of alpha-fetoprotein. We also found that, by using these two markers together, "by intersection," the best overall accuracy (85%) is obtained. We, therefore, suggest determination of alkaline phosphatase isoenzymes and alpha-fetoprotein in screening the populations at risk for liver cancer.

Adult↗

Estimation of error rates in discriminant analysis with selection of variables.

Accurate estimation of misclassification rates in discriminant analysis with selection of variables by, for example, a stepwise algorithm, is complicated by the large optimistic bias inherent in standard estimators such as those obtained by the resubstitution method. Application of a bootstrap adjustment can reduce the bias of the resubstitution method; however, the bootstrap technique requires the variable selection procedure to be repeated many times and is therefore difficult to compute. In this paper we propose a smoothed estimator that requires relatively little computation and which, on the basis of a Monte Carlo sampling study, is found to perform generally at least as well as the bootstrap method.

Algorithms↗

A discriminant analysis approach to morphological regionalization in the European Late Mesolithic.

The morphological regionalization of European Mesolithic populations was studied by discriminant analysis. Samples from four localities were compared employing craniometric variables. The general conclusion was that there is evidence for regionalization in the Late mesolithic in Europe, and a clinical pattern of variation was not detected. These results are in agreement with archaeological reconstructions of the population structure in the Late Mesolithic Europe.

Adolescent↗

[Discriminant analysis applied to blood components in dairy cows before and after delivery].

Ten blood properties--total protein, cholesterol, zinc turbidity test, leucine amino peptidase, alkaline phosphatase, lactate dehydrogenase, hemoglobin, hematocrit, and red and white blood cell counts--were measured in primiparous cows at three different stages near parturition, 260 days of pregnancy, 5 days and 35 days after parturition. Experiments were performed in two seasons, winter (January to April) and summer (June to September), using eleven cows in each seasonal group. The degree of inclusive variation of the ten blood properties by discriminant analysis was low in winter and very high in summer between 260 days of pregnancy and 5 days after parturition. It was high in both seasons between 5 days and 35 days after parturition. In addition, in comparison between the corresponding stages in the two seasonal groups, the degree was higher in summer than in winter. The discrepancy in the seasonal patterns seemed to occur by the differences in environmental factors, such as temperature and feeding conditions, in addition to stresses due to pregnancy, parturition and lactation. It was verified that discriminant analysis, one of the multivariate analyses was useful for an inclusive, objective judgment on data of multiple clinical examinations in dairy cows.

Alkaline Phosphatase↗

A discriminant analysis of neuropsychological effect of low lead exposure.

The purpose of this study is to determine the contribution of psychological tests in discriminating neuropsychological effects of low lead exposure. The sample consists of 49 workers occupationally exposed to lead and a control group of 36 non-exposed workers. Their performance on various neuropsychological measures was subject to a discriminant analysis using the SPSS DISCRIMINANT subprogramme. The results indicate that simple reaction time, Digit Symbol (WAIS) and Trail-Making Test (Part A) provide the best combination of tests for the detection of neurotoxic effect of low lead exposure.

Adult↗

Discriminant analysis of pre- and intraoperatively detected prognostic factors influencing lymph node involvement in patients with colorectal carcinoma.

BACKGROUND/AIMS: The aim of this study was to establish whether, and to what extent, pre- and intraoperatively detected characteristics (demographic, anamnestic and laboratory data) and tumor characteristics can be used in the assessment of regional lymph node involvement in patients with colorectal carcinoma. The assessment also included the number of lymph nodes involved in patients with positive lymph nodes. Considering that the number of obtained lymph nodes widely varies in resected specimens, assessment parameters also included the percentage of the involved lymph nodes within the total population of lymph nodes. METHODOLOGY: From 1992-1993, 46 patients with carcinoma of the rectum and sigmoid colon were studied, with a total number of 736 lymph nodes evaluated. Out of the total number of lymph nodes, 577 (78.4%) were benign and 159 (21.6%), malignant. Data were analyzed by multi-variant statistical methods, namely: discriminant analysis and multiple regression with the aid of SPSS/PC+ software. RESULTS: For this patient group, we evaluated the following potentially predictive factors for lymph node involvement: age; serum hemoglobin, albumin and alkaline phosphatase levels; weight loss; and the primary tumor localization characteristics: histologic type, macroscopic growth pattern and depth of tumor invasion of the bowel wall. We found that there was no difference in the prediction of regional lymph node involvement between analysis of the aforementioned parameters and analysis of the isolated discriminators only. CONCLUSION: A predictability likelihood of 83.78% greatly surpasses the acceptable error tolerance level of 5%. Correlation of demographic, anamnestic and laboratory data about the patient and the characteristics of the primary tumor cannot be used in distinguishing malignant lymph nodes from benign ones. These data cannot be the basis for exact intraoperative staging and thus cannot be significant criteria for decision-making about operative treatment modalities.

Adenocarcinoma↗

The discriminating analysis in the differential diagnosis of monoclonal gammopathies.

The clinical diagnosis is not always easy in monoclonal gammopathies. Therefore we used discriminating analysis to obtain diagnosis statistically sure. The parameters considered were kappa-lambda ratio, marrow plasma cells percentage and labeling index, CD3, CD4, CD8 lymphocytic absolute values. The plasma cells percentage and their labeling index make the differential diagnosis between MM and MGUS or SMM and MGUS feasible and quite correct. Additional immunological parameters should be used for the diagnosis between SMM and MM.

Blood Cells↗

Surgical mortality in patients with malignant obstructive jaundice: a multivariate discriminant analysis.

OBJECTIVE: To estimate the operative mortality in patients with malignant obstructive jaundice. METHODS: Twelve risk factors were analyzed using multivariate discriminant analysis in 90 patients who had been operated on. RESULTS: Operative mortality was significantly related to the following factors: age, duration of jaundice, packed RBC volume, white blood cell count and concentration of blood urine nitrogen; it was not significantly related to diseases and types of operation. The following formula was obtained: packed RBC volume x 0.09954-age x 0.04018- blood urine nitrogen x 0.23693-duration of jaundice x 2.07388-WBC count x 0.21118+ 5.26593. With this formula, an operative mortality of 77.8% was predicted. CONCLUSION: With a positive value from the formula, the patient should be operated on; otherwise non-operative treatment is advocated.

Aged↗

Application of linear discriminant analysis to the differentiation of pure milk from different species and mixtures.

Discriminant analysis is used to identify different milk samples on the basis of the gas chromatographic data for fatty acids in 20 samples each of milk fat from cows, sheep, and goats. The method can differentiate mixtures and pure milks with a high degree of correct classifications. A good discrimination can also be obtained by using a reduced set of variables. The method is useful for the interpretation of gas chromatographic data and should allow a higher proportion of correct classifications than is possible by visual inspection of the chromatograms.

Animals↗

Mouse strain identification by means of discriminant analysis using mandible measurements.

Mouse strains were identified by the aid of discriminant functions obtained from discriminant analysis of values measured at 13 sites of the mandible. They consisted of nine inbred strains of mice, AA, DDD, DDK, DDY, DSD, KK, NC, RR, and SS, and one mutant strain, NC-brp, maintained exactly in the National Institute of Animal Health, Minstry of Agriculture, Forestry and Fisheries. As a result, the probability of erroneous discrimination was 1 head/246 head, or 0.41%, for the males and 2 head/238 head, or 0.84%, for the females. Therefore, almost all the mouse strains were identified correctly. These results seemed to indicate that the strains of mice would be identified more correctly than before, if the present method by the aid of discriminant functions was applied in addition to the methods of identification based on the coat color, biochemical marker-genes, and histocompatibility genes.

Animals↗

Striatal antibodies in children with Tourette's syndrome: multivariate discriminant analysis of IgG repertoires.

Antineuronal antibodies have been postulated to be the underlying pathophysiology in TS and other neuropsychiatric disorders. Serum antibodies from 20 children with TS, and 21 control subjects against human striatum, globus pallidus, muscle, and HTB-10 cells were assayed by Western blot techniques. A MANOVA differentiated between TS and control blots, and a discriminant analysis demonstrated which variables contributed most to differences between groups. Prominent differences between TS and control blots were identified using striatal epitopes in contrast to similar patterns shown between groups for globus pallidus, muscle and HTB-10 tissue, supporting striatal autoimmune involvement in TS pathophysiology.

Adolescent↗

Stepwise multivariate discriminant analysis (SMDA) for paired and unpaired biomedical data using microcomputers.

It may be necessary in biostatistics to discriminate between individuals and groups. The discriminant analysis is used for this purpose. The discriminant procedure has been programmed for microcomputers. The program has been written in a generic BASIC in order to make the procedure user-friendly. To have such a software package implemented on a personal computer may greatly facilitate the use of this complex analysis in biomedicine.

Computers↗

Classification of 1H MR spectra of biopsies from untreated and recurrent ovarian cancer using linear discriminant analysis.

Proton (1H) magnetic resonance (MR) spectra of ex vivo biopsy samples of ovarian cancers provided biochemical information that was used to discriminate cancer from normal ovarian tissue. Possible differences present in intrinsically resistant tumors or changes in biochemistry after the induction of resistance were identified. Using multivariate techniques, in particular linear discriminant analysis (LDA), ovarian cancer was distinguished from normal ovarian tissue with a sensitivity of 100%, a specificity of 95% and an accuracy of 98%. Moreover, LDA was able to distinguish untreated ovarian cancer from recurrent ovarian cancer with a sensitivity of 92%, a specificity of 100%, and an accuracy of 97%; removal of the single "fuzzy" specimen increased the accuracy to 100%. Applications of this knowledge to in vivo measurements could lead to noninvasive diagnosis of ovarian cancer.

Biopsy↗

High-resolution detection of adulteration of maize oil using multi-component compound-specific delta13C values of major and minor components and discriminant analysis.

Maize oil commands a premium price and is thus a target for adulteration with cheaper vegetable oils. Detection of this activity presents a particular challenge to the analyst because of the natural variability in the fatty acid composition of maize oils and because of their high sterol and tocopherol contents. This paper describes a method that allows detection of adulteration at concentrations of just 5% (m/m), based on the Mahalanobis distances of the principal component scores of the delta(13)C values of major and minor vegetable oil components. The method makes use of a database consisting of delta(13)C values and relative abundances of the major fatty acyl components of over 150 vegetable oils. The sterols and tocopherols of 16 maize oils and 6 potential adulterant oils were found to be depleted in (13)C by a constant amount relative to the bulk oil. Moreover, since maize oil contains particularly high levels of sterols and tocopherols, their delta(13)C values were not significantly altered when groundnut oil was added up to 20% (m/m) and it is possible to use the values for the minor components to predict the values that would be expected in a pure oil; therefore, comparison of the predicted values with those obtained experimentally allows adulteration to be detected. A refinement involved performing a discriminant analysis on the delta(13)C values of the bulk oil and the major fatty acids (16:0, 18:1 and 18:2) and using the Mahalanobis distances to determine the percentage of adulterant oil present. This approach may be refined further by including the delta(13)C values of the minor components in the discriminant analysis thereby increasing the sensitivity of the approach to concentrations at which adulteration would not be attractive economically.

Carbon Isotopes↗

Discriminant analysis on small cell lung cancer and non-small cell lung cancer by means of NSE and CYFRA-21.1.

A correct diagnosis of small cell lung cancer (SCLC) and non-small cell lung cancer (NSCLC) is essential both for prognostic and therapeutic reasons. We used discriminant analysis as a method to optimize the discriminant power of serum tumour marker levels for differentiation between SCLC and NSCLC. A panel of serum markers, including neurone specific enolase (NSE), cytokeratin fragment antigen 21.1 (CYFRA-21.1), tissue polypeptide antigen (TPA) and carcinoembryonic antigen (CEA) was obtained in 50 consecutive NSCLC and 17 SCLC. Data were analysed by the BMDP statistical program after logarithmic transformation of marker levels. The variables selected were NSE and CYFRA-21.1. Considered together, they were able to give a 97% rate of correct classification. The formula generated (canonic variable, CV) was validated on a group of seven SCLC and 22 NSCLC patients. Only two errors occurred. We therefore conclude that the canonic variable tested, based on NSE and CYFRA-21.1, provides a good discrimination between the two types of lung cancer. The method is rapid, relatively inexpensive, and based on simple serum tests.

Aged↗