體育成績的區域性動態計分法

Dynamic Evaluation Method of Physical Scoring Based on the Local Data

10.6222/pej.0023.199709.3108

嚴子三(Tzu-San Yen)

體育成績計分法 ； Physical Scoring

體育學報

23期（1997 / 09 / 01）

85 - 95

繁體中文

體育成績的計分法看起來似乎很簡單。行之有年的方式是，基於測驗成績，對照計分成績表，再加以適當調整，做成成績。本文將成績資料視為N維尤氏空間(Euclidean Space)的一點，以向量的技巧，將同一時期，各不同班級的成績視為一個向量基底，導致將成績以該基底為準的成績表示法。我們稱這種方式為「動態式計分法」。它有幾個異於傳統方式的好處：㈠成績的計分是以該期的學生為基準，得到的是一種區域性的相對計分法，適用於客觀的區域環境㈡該方法因為已經做了正規化處理，資料間泯除了相依性，所得的是一種客觀的測度㈢對於求得的這種測度基底，我們可以將各個個體的成績，描繪在N維的尤氏空間上，作視覺化的展示。實際實施的作業方式，在文章內則以高層次的語法描述，但是，它可以很容易轉化為實際的自動化系統。

It seems simple to give a score to students after evaluating a few physical data. But truly speaking, it is not. The way we usually did for so many years is first, we record the evaluation information for a variety of physical items, second we look up the score table issued by the Ministry of the Higher Education, third we justify the score by our experience or other considerations, and give the final score. In this paper, we give another approach of scoring. The evaluation data are viewed as N dimensional data in the Euclidean space. Through the techniques of vector projection and orthogonal process, we express the evaluation data in the projection hyper plane. We call the method ”Dynamic Evaluation Method”. It shows some advantages totally different previous used one. (1)Based on the local data (same semester, same class level), the scoring strategy is relative and dynamic. (2) The normalization process eliminates the dependency among data. The viewpoint of the method is objective. (3)We simplify the original data and can be easily plotted on the computer screen. In the physical implementation, it is simple enough to transform the high level description of the method to the computer program, and to visualize it.