Higher-Order Asymptotic Standard Error and Asymptotic Expansion in Principal Component Analysis

2006 ◽  
Vol 35 (1) ◽  
pp. 201-223 ◽  
Author(s):  
Haruhiko Ogasawara
2013 ◽  
Vol 3 (4) ◽  
pp. 277-289 ◽  
Author(s):  
Michał Romaszewski ◽  
Piotr Gawron ◽  
Sebastian Opozda

Abstract This work presents an analysis of Higher Order Singular Value Decomposition (HOSVD) applied to reduction of dimensionality of 3D mesh animations. Compression error is measured using three metrics (MSE, Hausdorff, MSDM). Results are compared with a method based on Principal Component Analysis (PCA) and presented on a set of animations with typical mesh deformations.


Psihologija ◽  
2007 ◽  
Vol 40 (2) ◽  
pp. 211-228
Author(s):  
Dusanka Mitrovic ◽  
Snezana Smederevac

The paper presents two studies aimed at the examination of the factor structure of The Multidimensional Personality Questionnaire (MPQ) and joint factor structure of the scales of MPQ and SPSRQ (The Sensitivity to Punishment and Sensitivity to Reward Questionnaire). In the first research conducted on the sample of 1127 participants of both sexes, age 18 to 67, the results of the principal component analysis of the MPQ scales point to the existence of three higher-order dimensions, named General Adaptedness, Psychopathic Tendencies and Negative Emotionality. These dimensions correspond to the dimensions of the Eysenck?s PEN model to the greater extent than they achieve the assumed similarity with the dimensions of the Reinforcement Sensitivity Theory. In the second study conducted on the sample of 199 respondents of both sexes, age 18 to 59, the results of the joint principal component analysis of the MPQ and SPSRQ scales point to the existence of three higher order dimensions, which correspond to the Tellegen?s Positive Emotionality, Negative Emotionality, and Constraint. .


VASA ◽  
2012 ◽  
Vol 41 (5) ◽  
pp. 333-342 ◽  
Author(s):  
Kirchberger ◽  
Finger ◽  
Müller-Bühl

Background: The Intermittent Claudication Questionnaire (ICQ) is a short questionnaire for the assessment of health-related quality of life (HRQOL) in patients with intermittent claudication (IC). The objective of this study was to translate the ICQ into German and to investigate the psychometric properties of the German ICQ version in patients with IC. Patients and methods: The original English version was translated using a forward-backward method. The resulting German version was reviewed by the author of the original version and an experienced clinician. Finally, it was tested for clarity with 5 German patients with IC. A sample of 81 patients were administered the German ICQ. The sample consisted of 58.0 % male patients with a median age of 71 years and a median IC duration of 36 months. Test of feasibility included completeness of questionnaires, completion time, and ratings of clarity, length and relevance. Reliability was assessed through a retest in 13 patients at 14 days, and analysis of Cronbach’s alpha for internal consistency. Construct validity was investigated using principal component analysis. Concurrent validity was assessed by correlating the ICQ scores with the Short Form 36 Health Survey (SF-36) as well as clinical measures. Results: The ICQ was completely filled in by 73 subjects (90.1 %) with an average completion time of 6.3 minutes. Cronbach’s alpha coefficient reached 0.75. Intra-class correlation for test-retest reliability was r = 0.88. Principal component analysis resulted in a 3 factor solution. The first factor explained 51.5 of the total variation and all items had loadings of at least 0.65 on it. The ICQ was significantly associated with the SF-36 and treadmill-walking distances whereas no association was found for resting ABPI. Conclusions: The German version of the ICQ demonstrated good feasibility, satisfactory reliability and good validity. Responsiveness should be investigated in further validation studies.


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