English  |  正體中文  |  简体中文  |  Post-Print筆數 : 11 |  Items with full text/Total items : 89672/119493 (75%)
Visitors : 23944505      Online Users : 161
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/58784
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/58784


    Title: Mokken尺度量表下潛在特質排序之正確率探討
    A study on the accuracy rate for the ordering of the latent trait in Mokken scale analysis
    Authors: 黃雅雯
    Huang, Ya Wen
    Contributors: 江振東
    黃雅雯
    Huang, Ya Wen
    Keywords: Mokken尺度量表
    潛在特質
    正確率
    Date: 2012
    Issue Date: 2013-07-11 16:36:43 (UTC+8)
    Abstract: Mokken (1971) 提出兩個無母數反應試題理論模型,包含單調同質性模型(MHM)和雙重單調同質性模型(DMM),Grayson (1988) 和Huynh (1994)說明並證明出在單調同質性模型架構之下,受試者二元反應試題的回答總分與受試者的潛在特質具有MLR(monotone likelihood ratio)的性質,因此也具有SOM(stochastic ordering of the manifest variable)及SOL(stochastic ordering of the latent trait)這兩個隨機排序(stochastic ordering)的特性。另外,Mokken (1971) 也提到在Mokken量表下,受試者的試題回答總分與受試者的潛在特質有高度相關。然而這些好的特性都僅只於理論上的說法,實務的應用上並沒有實際的數字可作為使用者的參考依據。本研究將利用模擬實驗的方式,就上述議題作探討。
    模擬結果顯示,未加權的時候,使用答題總分來排序受試者的潛在特質或藉由受試者的潛在特質來預估其答題總分之正確率都會隨著鑑別參數的增加而增加,前者正確率約有七成以上,後者正確率則大約有八成以上;受試者的潛在特質與其答題總分的相關係數也隨著鑑別參數增加而增加,大約介於0.50與0.80之間。
    Mokken (1971) proposed two Nonparametric Item Response Theory Models, the Monotone Homogeneity Model (MHM) and the Double Monotonicity Model (DMM). Under MHM, Grayson (1988) and Huynh (1994) showed that the unweighted total score for dichotomous items has monotone likelihood ratio (MLR) in the latent trait θ, which in turn implies two stochastic ordering (SO) properties, namely SOM (stochastic ordering of the manifest variable) and SOL (stochastic ordering of the latent trait). In addition, Mokken (1971) also mentioned that the total score were highly correlated with the latent trait for subjects. However, these properties are only theoretical arguments, and there are no actual figures that can serve as a guideline for practitioners regarding how good the properties are. We hence try to answer some of the questions through simulation experiments in this study.
    Simulation results show that the accuracy rate of using unweighted total score to rank the latent trait of subjects and the accuracy rate of using the latent trait to predict the total score for subjects will increase with the discrimination parameters. The former is about more than 70%, while the latter is about more than 80%. The correlation coefficients between the total score and the latent trait of subjects will also increase with the discrimination parameters, ranging between 0.50 and 0.80.
    Reference: 章英華、傅仰止(2006)。台灣社會變遷基本調查五期一次- 綜合問卷組(C00153_1)【原始數據】。取自中央研究院人文社會科學研究中心調查研究專題中心學術調查研究資料庫http://srda.sinica.edu.tw。doi:10.6141/TW-SRDA-C00513_1-1
    Grayson, D. A. (1988). Two group classification in latent trait theory: Scores with monotone likelihood ratio. Psychometrika, 53, 383-392.
    Guttman, L. (1950). The utility of scalogram analysis. In S. A. Stouffer, L. Guttman, E. A. Suchman, P. F. Lazarsfeld, S. A. Star, & J. A. Clausen (Eds.), Measurement and prediction. Studies in Social Psychology in World War II (Vol. 4, pp. 122-171). New York, NY: Wiley.
    Huynh, H. (1994). A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables. Psychometrika, 59, 77-79.
    Lehmann, E. L. (1986). Testing statistical hypotheses. 2nd Ed., New York: Wiley.
    Loevinger, J. (1948). The technique of homogeneous tests compared with some aspects of "scale analysis" and factor analysis. Psychological Bulletin, 45, 507-530.
    Mokken, R. J. (1971). A theory and procedure of scale analysis. With applications in political research. Berlin, Germany: De Gruyter (Mouton).
    Description: 碩士
    國立政治大學
    統計研究所
    100354015
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0100354015
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

    Files in This Item:

    File Description SizeFormat
    401501.pdf2706KbAdobe PDF294View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告
    1.本網站之數位內容為國立政治大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,惟仍請適度,合理使用本網站之內容,以尊重著作權人之權益。商業上之利用,則請先取得著作權人之授權。
    2.本網站之製作,已盡力防止侵害著作權人之權益,如仍發現本網站之數位內容有侵害著作權人權益情事者,請權利人通知本網站維護人員(nccur@nccu.edu.tw),維護人員將立即採取移除該數位著作等補救措施。
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback