https://scholars.lib.ntu.edu.tw/handle/123456789/41002
標題: | 平行分析於單因素二分變項之應用性 | 作者: | 翁儷禎 | 關鍵字: | 因素分析;平行分析;二分變項;單向度;模擬研究;factor analysis;parallel analysis;dichotomous variables;unidimensionality;simulations | 公開日期: | 2003 | 出版社: | 臺北市:國立臺灣大學心理學系暨研究所 | 摘要: | 因素數目取決乃因素分析中之關鍵步驟,本模擬研究探討平行分析在單向度二分變項上的表現。模擬研究中操弄八變項之單因素模型的樣本人數(50、100、200 、500 、1000 )、因素負荷量(.45、.70、.90)、二分變項兩類反應比例(50/50、60/40、70/30、80/20、90/10),與變項間相關係數估計方法(phi 相關與四分相關)。結果發現以平行分析估計之因素數目相當準確,樣本愈大,因素負荷量愈高,兩類別比率愈接近時,正確率愈高,僅當因素負荷量低且樣本小時正確率較低。以隨機資料相關矩陣之第95 或第99 百分位數進行平行分析之正確率高於採行平均數為比較基準之正確率,兩類相關係數估計之因素數目正確率僅略有差距。整體而言,因素負荷量對單因素二分變項平行分析因素數目正確決定率的影響最大,樣本人數與類別比率的影響則視分析時選用的相關係數而定,前者主要影響使用phi 相關之因素數目正確率,後者則影響採行四分相關之正確率。 Determining the number of factors is a crucial step in factor analysis. The present Monte Carlo research investigated the performance of parallel analysis as applied to unidimensional binary data. The simulation study employed an eight-variable single-factor model and manipulated sample size (50, 100, 200, 500, 1000), size of factor loadings (.45, .70, .90), response ratio on two categories (50/50, 60/40, 70/30, 80/20, 90/10), and type of correlation used (phi correlation and tetrachoric correlation) for analysis. The results indicated that parallel analysis suggested very accurate number of factors. The proportion of correctly identifying the number of factor increased as sample size and factor loading increased, and as the percentages of responses on two categories became close. Parallel analysis that used 95th and 99th percentile of the random data eigenvalues as the basis for comparison yielded higher correct rate then using mean eigenvalues as the criterion. The performance of phi correlations and tetrachoric correlations had only minor differences. Overall, the size of the factor loading had the most significant effect on the performance of parallel analysis with binary 3 data. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/9713 | 其他識別: | 912413H002015 | Rights: | 國立臺灣大學心理學系暨研究所 |
顯示於: | 心理學系 |
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912413H002015.pdf | 154.33 kB | Adobe PDF | 檢視/開啟 |
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