Influence diagnostics in multiple discriminant analysis

Moreno-Roldán, D.; Muñoz, Juan Manuel; Enguix-González, Alicia

doi:10.1007/s11749-006-0007-9

Cited by 2 publications

(4 citation statements)

References 14 publications

(15 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These cutoff lines are intuitive and not new in the literature. See Moreno-Roldán et al (2007). In addition to the information about the possible influential and outlying observations, we illustrate the ability to look at the detailed movement of other individual data points.…”

Section: Graphical Methods For the Influence Detectionmentioning

confidence: 99%

“…Using ideas from Cook (1977), the study of influential data points in discriminant analysis are used to investigate the effect on the estimated overall probability of misclassification if certain observations were deleted. Campbell (1978) considered the empirical influence curve, while Critchley and Vitiello (1991), Fung (1992Fung ( , 1995, Lahiff and Whitcomb (1990), Moreno-Roldán et al (2007) and Lee and Kim (2011) introduced relevant statistical measures based on Campbell (1978). Their papers are all based on the deletion principle.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Graphical Methods for the Sensitivity Analysis in Discriminant Analysis

Jang

Anderson‐Cook

Kim

2015

CSAM

View full text Add to dashboard Cite

Similar to regression, many measures to detect influential data points in discriminant analysis have been developed. Many follow similar principles as the diagnostic measures used in linear regression in the context of discriminant analysis. Here we focus on the impact on the predicted classification posterior probability when a data point is omitted. The new method is intuitive and easily interpretable compared to existing methods. We also propose a graphical display to show the individual movement of the posterior probability of other data points when a specific data point is omitted. This enables the summaries to capture the overall pattern of the change.

show abstract

Section: Graphical Methods For the Influence Detectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Graphical Methods for the Sensitivity Analysis in Discriminant Analysis

Jang

Anderson‐Cook

Kim

2015

CSAM

View full text Add to dashboard Cite

show abstract

“…See for example, Moreno-Roldán et al (2007), Bremner and Taplin (2002), Fung (1995a), Schott (1990), andMcKay (1977). Two variables from the Lubischew data set have been selected, thereby enabling a simple display and facilitating the interpretation of the measures proposed.…”

Section: Applicationsmentioning

confidence: 99%

“…This approach is applied in the following papers: Campbell (1978), Critchley and Vitiello (1991), Fung (1992), Fung (1995c), Fung (1995b) and Fung (1996). Recently, Moreno-Roldán et al (2007) proposed two case-deletion diagnostics based on the L 2 -norm which evaluate the effect of the omission on the linear functions which determine Fisher's linear discriminant rule. Riani and Atkinson (2001) provided a unified approach to study influential observations and outliers in Quadratic Discriminant Analysis.…”

mentioning

confidence: 99%