Influence of observations on the misclassification probability in quadratic discriminant analysis

Croux, Christophe; Joossens, Kristel

doi:10.1016/j.jmva.2004.11.001

Cited by 49 publications

(26 citation statements)

References 32 publications

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“…To test if there were significant relationships between pearl quality traits, Spearman's rank tests, Kendall tests and χ 2 tests were performed (Croux 2005).…”

Section: Discussionmentioning

confidence: 99%

Family effect on cultured pearl quality in black-lipped pearl oysterPinctada margaritiferaand insights for genetic improvement

Blay

Sham-Koua

et al. 2013

Aquat. Living Resour.

101

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-Individual Pinctada margaritifera molluscs were collected from the Takapoto atoll (Tuamotu Archipelago, French Polynesia) and used to produce ten first generation full-sib families in a hatchery system, following artificial breeding protocols. After three years of culture, these progenies were transferred to Rangiroa atoll (Tuamotu Archipelago, French Polynesia) and tested for their potential as graft donors. A large-scale grafting experiment of 1500 grafts was conducted, in which a single professional grafter used ten individual donor oysters from each of the ten families, grafting 15 recipient oysters from each donor. The recipient oysters were all obtained from wild spat collection in Ahe (Tuamotu Archipelago, French Polynesia). After 18 months of culture, 874 pearls were harvested. Highly significant donor family effects were found for nucleus retention, nacre thickness, nacre weight, pearl colour darkness and visually-perceived colour (bodycolor and overtone), pearl shape categories, surface defects and lustre, the last two of which are components of the Tahitian classification grade. No significant difference was recorded between the ten G1 families for the absence or presence of rings. The progenies could be ranked from "best" (i.e., the donor whose grafts produced the greatest number of grade A pearls) to the "worst". Some progenies had extreme characteristics: family B presented the greatest number of pearls with lustre (98%) and a high proportion of dark gray to black with green overtone pearls (70%). These results have important implications for the selective breeding of donor pearl oysters: it may be possible to reach a point where specific donor lines whose grafts produce pearls with specific quality traits could be identified and maintained as specific breeding lines.

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“…To test if there were significant relationships between pearl quality traits, Spearman's rank tests, Kendall tests and χ 2 tests were performed (Croux 2005).…”

Section: Discussionmentioning

confidence: 99%

Family effect on cultured pearl quality in black-lipped pearl oysterPinctada margaritiferaand insights for genetic improvement

Blay

Sham-Koua

et al. 2013

Aquat. Living Resour.

101

View full text Add to dashboard Cite

show abstract

“…In particular, in the simulation settings that we investigated, the ranked version of the MCD-based classifier of Hubert and Van Driessen (2004) gives the best performance of all the methods studied in terms of total probability of correct classification, balance, and standard errors when the two underlying distributions are Cauchy. It would be interesting to investigate the influence function of the misclassification error rate similar to those given in Croux and Joossens (2005) and Croux et al (2008).…”

Section: Discussionmentioning

confidence: 98%

Rank-Based Classification Using Robust Discriminant Functions

Abebe

Nudurupati

2009

Communications in Statistics - Simulation and Computation

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In this article, we study ranked discriminant functions that were introduced by Randles et al. (1978a). The ranking method is applied on recently introduced discriminant functions maximum L 1 depth and quadratic discriminant function based on minimum covariance determinant (MCD) estimates of the mean and covariance. An extensive simulation study shows that not only does the ranking method provide balance between misclassification error rates but it also yields lower total probabilities of misclassification and higher consistency of correct classification for heavy-tailed distributions.

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“…Where Y is dependent variable, 'b's are regression coefficients for corresponding 'x's (independent variable), 'c' is a regression constant or intercept 36 .…”

Section: Regression Equation Takes the Formmentioning

confidence: 99%

Untitled

2017

IJPSR

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Objective: Newly designed antipsoriatic agents which are substituted series of analogues of flavonoids (kaempferol and quercetin) that belong to the subclass flavonols were subjected to (2D-QSAR) analysis using VLIFEMDS-QSARPro software with an intention to derive and understand the possible correlation of biological activity as dependent variable and other descriptors like molecular weight, XLogP values as independent variables. It can be concluded that the current study provides better insight for designing and chemical synthesis of more potent antipsoriatic agents. Methods: Several statistical regression expressions were obtained using variable selection method as simulated annealing coupled with various model building methods like partial least squares (PLS) Regression, multiple linear regression (MLR) etc. Results: For the analogues of both quercetin and kaempferol, a total of 9 QSAR models were generated, each using test set of 15 and training set of 45 similar compounds. The best QSAR model generated by PLS model building method for quercetin was model Q4 with correlation coefficient r 2 of 0.9021 and significant cross validated correlation coefficient q 2 of 0.5791.Similarly, the best QSAR model generated by MLR method, for kaempferol was model K2 with r 2 of 0.687, significant q 2 of 0.5676. Both model Q4 and K2, gave significant results and revealed that presence of SdOE-index, SdsCH count favours the biological activity of quercetin analogues whereas presence of SdssCE-index contributes positively towards biological activity of analogues of kaempferol. This study suggests that such descriptors will be helpful in designing more potent antipsoriatic agents.

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Influence of observations on the misclassification probability in quadratic discriminant analysis

Cited by 49 publications

References 32 publications

Family effect on cultured pearl quality in black-lipped pearl oysterPinctada margaritiferaand insights for genetic improvement

Family effect on cultured pearl quality in black-lipped pearl oysterPinctada margaritiferaand insights for genetic improvement

Rank-Based Classification Using Robust Discriminant Functions

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