응용통계연구 (The Korean Journal of Applied Statistics)

  • 제26권6호
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  • Pages.873-887
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  • 2013
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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피험자내 설계에 의한 회전축자료의 비교연구

Comparative Study on Axes of Rotation Data by Within-Subjects Designs

  • Kim, Jinuk (Department of Physical Education, Kunsan National University)
  • 투고 : 2013.07.11
  • 심사 : 2013.10.15
  • 발행 : 2013.12.31
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초록

실험에서 처리 간 평균반응의 비교를 위해서 많이 사용되는 방법은 분산분석이다. 반응변수가 왓슨분포로부터 추출된 것이라 가정한 축자료의 경우에 평균방향의 비교를 위한 분석방법은 많지 않다. 본 연구의 목적은 운동역학에서 관절의 운동을 기술하기 위해서 많이 사용되는 회전축의 평균방향 비교를 위해서 분산분석을 수행하는 것이다. 이는 피험자내 설계에 의한 분산분석으로 피험자내 요인이 하나인 경우와 두 개의 경우로 나누어 분석하였다. 실제 분석에 사용된 자료는 슬관절의 굴곡/신전 회전축과 주관절의 굴곡/신전, 회내/회외 회전축이다. 본 연구를 통해 관절회전운동의 적절한 비교분석을 수행할 수 있었으며 이러한 분석방법은 다양한 실험설계에 의한 축자료에 적용시킬 수 있을 것이다.

The axis of rotation in biomechanics is a major tool to investigate joint function; therefore, many methods to estimate the axis of rotation have been developed. However, there exist several problems to describe, estimate, and test the axis statistically. The axis is directional data(axial data) and it should not be analyzed with traditional statistics. A proper comparative method should be considered to compare axis estimating methods for the same given data ANOVA (analysis of variance) is a frequently used statistical method to compare treatment means in experimental designs. In case of the axial data response assumed to come from Watson distribution, there are a few ANOVA method options. This study constructed ANOVA models for within-subjects designs of axial data. Two models (one within-subjects factor and two within-subjects factors crossed design) were considered. The empirical data used in this study were instantaneous axes of rotation of flexion/extension at the knee joint and the flexion/extension and pronation/supination at the elbow joint. The results of this study can be further applied to the various analysis of experimental designs.

키워드

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