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題名:高中學生時間運用與學習表現關聯之研究:模糊相關的應用
書刊名:教育政策論壇
作者:謝名娟 引用關係吳柏林
作者(外文):Hsieh, Ming-chuanWu, Berlin
出版日期:2012
卷期:15:1=41
頁次:頁157-176
主題關鍵詞:區間資料模糊相關係數學習表現Academic performanceFuzzy correlationInterval data
原始連結:連回原系統網址new window
相關次數:
  • 被引用次數被引用次數:期刊(1) 博士論文(1) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:1
  • 共同引用共同引用:1
  • 點閱點閱:30
教育政策與行政領域處理量化資料,常以傳統二值邏輯為主。在統計學上,我 們常使用皮爾森相關係數來表達兩變數間線性關係的強度,及其關係之方向。皮爾 森相關係數所處理的資料都是明確的實數值,但是,當資料是模糊數時,如何計算 出廣義模糊相關係數呢?本研究探討區間模糊樣本資料值求得模糊相關係數,並提 出廣義模糊相關係數。本研究是以影響學習成就評量的因素,做實證研究分析,得 出更合理的分析。而此模糊相關區間定義也能應用在兩資料值為實數或其中一筆資 料值為實數的情況,可以解釋更多在實務上所發生的相關現象。
The field of educational policy and administration often calculates quantitative data on the basis of traditional two-valued logic. In the statistics research, the magnitude and direction of the linear relationship between two variables are usually expressed by Pearson’s correlation coefficient. Traditionally, Pearson’s correlation coefficient deals with real numbers. However, when the data are composed of fuzzy numbers, it is not feasible to use this traditional approach to compute the correlation coefficient. The present study investigates a new approach to calculating fuzzy correlations. We propose broad formulas in order to adjust the coefficient more reasonably and deal with fuzzy data more accurately. An empirical study is used to illustrate the application of fuzzy correlations in the evaluation of student achievement. Moreover, the formulas derived in this study can be possibly applied to other shapes of fuzzy data such as triangular and trapezoidal fuzzy data.
期刊論文
1.Chiang, D. A.、Lin, N. P.(1999)。Correlation of fuzzy sets。Fuzzy Sets and Systems,102(2),221-226。  new window
2.Yu, C.(1993)。Correlation of Fuzzy Numbers。Fuzzy Sets and Systems,55(3),303-307。  new window
3.林原宏(20040600)。模糊相關係數。教育研究月刊,122,148-149。  延伸查詢new window
4.Zadeh, Lotfi Asker(1965)。Fuzzy sets。Information and Control,8(3),338-353。  new window
5.Hall, F. N. A.、Levy, A.(2009)。Effect size reporting practices in published articles。Educational & Psychological Measurement,69(2),245-265。  new window
6.Breaugh, J. A.(2003)。Effect size estimation: Factors to consider and mistakes to avoid。Journal of Management,29(1),79-97。  new window
7.Bustince, H.、Burillo, P.(1995)。Correlation of interval-valued intuitionistic fuzzy sets。Fuzzy Sets and Systems,74(2),237-244。  new window
8.Chaudhuri, B. B.、Bhattacharya, A.(2001)。On correlation between two fuzzy sets。Fuzzy Sets and Systems,118,447-456。  new window
9.Durlak, J. A.(2009)。How to select, calculate, and. interpret effect sizes。Journal of Pediatric Psychology,34(9),917-928。  new window
10.Ferguson, C. J.(2009)。An effect size primer: A guide for clinicians and researchers。Professional Psychology: Research & Practices,40(5),532-538。  new window
11.Hong, D.(2006)。Fuzzy measures for a correlation coefficient of fuzzy numbers under TW (the weakest t-norm)-based fuzzy arithmetic operations。Information Sciences,176(2),150-160。  new window
12.Hong, D.、Hwang, S.(1995)。Correlation of intuitionistic fuzzy sets in probability space。Fuzzy Sets and Systems,75(1),77-81。  new window
13.Huberty, C.(2002)。A history of effect size indices。Educational & Psychological Measurement,62(2),227-240。  new window
14.Liu, S.、Kao, C.(2002)。Fuzzy measures for correlation coefficient of fuzzy numbers。Fuzzy Sets and Systems,128(2),267-275。  new window
15.Richardson, J. T. E.(1996)。Measures of effect size。Behavior Research Methods, Instruments, & Computers,28(1),12-22。  new window
16.Rosnow, R. L.、Rosenthal, R.(2003)。Effect sizes for experimenting psychologists。Canadian Journal of Experimental Psychology,57(3),221-237。  new window
17.Shieh, G.(2006)。Exact interval estimation, power calculation and sample size determination in normal correlation analysis。Psychometrika,71(3),529-540。  new window
18.Shieh, G.(2008)。Improved shrinkage estimation of squared multiple correlation coefficient and squared cross-validity coefficient。Organizcitional Research Methods,11(2),387-407。  new window
19.Shieh, G.(2010)。Estimation of the simple correlation coefficient。Behavior Research Methods,42(4),906-917。  new window
20.Vacha-Haase, T.、Thompson, B.(2004)。How to estimate and interpret various effect sizes。Journal of Counseling Psychology,57(4),473-481。  new window
學位論文
1.陳正哲(2005)。模糊資料統計檢定模式之研究與應用(博士論文)。國立成功大學。new window  延伸查詢new window
圖書
1.Johnson, N. L.、Kotz, S.、Balakrishnan, N.(1995)。Continuous univariate distributions。New York:John Wiley & Sons。  new window
2.Bobko, P.(2001)。Correlation and regression: Applications for industrial organizational psychology and management。Thousand Oaks, CA:Sage。  new window
3.Nguyen, H. T.、Wu, B.(2006)。Fundamentals of Statistics with Fuzzy Data。Heidelberg:Springer Verlag。  new window
4.吳柏林(2005)。模糊統計導論:方法與應用。臺北市:五南出版社。  延伸查詢new window
5.向殿政男、劉天祥、佟中仁(1990)。Fuzzy理論入門。臺北:中國生產力中心。  延伸查詢new window
6.Ragin, Charles C.(2000)。Fuzzy-Set Social Science。University of Chicago Press。  new window
7.Cohen, Jacob、Cohen, Patricia、West, Stephen G.、Aiken, Leona S.(2003)。Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences。Lawrence Erlbaum Associates, Inc.。  new window
8.Grissom, R. J.、Kim, J. J.(2005)。Effect sizes for research: A broad practical approach。Mahwah, NJ。  new window
9.Kline, R. B.(2004)。Beyond significance testing: Reforming data analysis methods in behavioral research。Washington, DC。  new window
10.Rosenthal, R.、Rosnow, R. L.、Rubin, D. B.(2000)。Contrasts and effect size in behavioral . research: A correlational approach。Cambridge, England。  new window
11.Smithson, M.(1987)。Fuzzy set analysis for behavioral and social sciences。New York, NY。  new window
12.Stuart, A.、Ord, J. K.(1994)。Kendall's advanced theory of statistics。New York, NY。  new window
 
 
 
 
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