ISSN 0439-755X
CN 11-1911/B
主办:中国心理学会
   中国科学院心理研究所
出版:科学出版社

心理学报 ›› 1995, Vol. 27 ›› Issue (2): 133-138.

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程度函数及其可靠性

孟庆茂   

  1. 北京师范大学
  • 发布日期:1995-06-25 出版日期:1995-06-25
  • 通讯作者: 孟庆茂

DEGREE FUNCTION AND IT’S RELIABILITY

Meng Qingmao(Beijing Normal University, Beijing 100875)   

  • Online:1995-06-25 Published:1995-06-25

摘要: 通过实验及理论分析,验证并给出了:1.程度函数a的可靠性θ的取值范围为:1/m≤θ≤1/m∑bkyjp。θ值的大小与可靠性呈反向变化:a的可靠性大,θ值小,a的可靠性小θ值大,一般情况下的θ值,为θ的上界与下界之和的一半;2.采用集值统计模型和一般统计模型处理多级估量法多人次结果,所得到的程度函数平均数几乎相等,而且相关系数高达0.977.非常显著.分组数据计算、单一数据计算或全部数据统一计算的程度函数a及可靠性θ值也都相等.3.一般统计模型处理多级估量法多人次结果所得到的标准差σ,只反映各被试的程度函数之间的变异,与程度函数可靠性无关(相关系数0.0024,非常不显著).如果个人结果中按公式θ=1/m∑ej再计算可靠性θ值,然后再求其平均数及标准差,还可进一步了解可靠性θ值的变异情况.

关键词: 多级估量法, 程度函数, 可靠性, 集值统计和概率统计模型, 相互关系

Abstract: Experiments and theories were used to suggest that: (a) as the reliability of the degree functioned, the value of θsatisfied the relationship: 1/m≤θ≤1/m and changed conversely to the reliability(i,e, if the reliability of a is large, will be small; otherwise, if the reliability of a is small,θ will be large). Usually the value of θ is about half of the upper bound plus lower bound. (b) when the fuzzy statistic model or the probabilistic statistic model was applied to the multi-step rating scale method to deal with group data, the means of degree function were almost the same. Their correlation coefficient, was very conspicuous, reaching high to the value of 0.997. (c)when the probabilistic statistic model was applied to multi-step rating scale method to deal with group data, the standard deviation only reflected the difference among the degree function of the dependants, and showed no relationship to the reliability of degree function. (the correlation coefficient equalled 0.0024 and was not conspicuous). To the personal results, if the value of reliability θwas calculated by using the formula θ=1/m∑θj, following the calculation of the mean and standard variance, how the deviation of θ changed could also be obtained.

Key words: multi-step rating scale method, degree function, reliability, fuzzy statistic model and the probabilistic statistic model, correlation