部分給分S－－P表分析法擴張提案及其在數學測驗上的應用

An Expansion Proposal of Partial Credit S-P Chart Analysis and Its Application of the Mathematics Test

本文主要目的係在部分給分S-P表分析法之學生注意係數、試題注意係數與差異係數的公式推導，並重新詮釋學生注意係數分析圖，來擴展佐藤隆博的S-P表分析法理論，以便於試題呈現部分給分時亦能運用。本研究提供兩個應用實例，第一個實例採用臺灣中部一所國中的三個班級，進行一次15題二元計分加上5題部分給分的混合計分數學測驗，第二個實例為同一所國中三個班級，一次10題完全部分給分的數學測驗。結果顯示採用含部分給分S-P表分析法比單純二元計分S-P表分析法可提昇測驗的信度與準確計算差異係數，且能真實呈現測驗的分析結果。

The main purpose of this paper focuses on the formulas of Partial Credit Student-Problem Chart Analysis, the Caution Index for students and items, and Disparity Coefficient. Then it re-interprets the Caution Index for students analysis chart to expand Sato's S-P Chart Analysis Theory, so that the item presented in Partial Credit Scoring can be used. Taking two applications for example, this study uses three classes in a country in central Taiwan to carry out the Dichotomous and Partial Credit of the first 20 questions along with some of the mathematics test scoring, and a junior class of the first 10 questions completely in part to the Partial Credit mathematics test. The results showed that Partial Credit S-P Chart Analysis can promote the test's reliability and reduce the Disparity Coefficient more than the simple Dichotomous S-P Chart Analysis, which can present a more realistic rendering test analysis.