THE PROBLEM OF INFERENCE FROM CURVES BASED ON GROUP DATA
THE PROBLEM OF INFERENCE FROM CURVES BASED ON GROUP DATA
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DOI：
10.1037/h0045156
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发表时间：
1956-01-01
影响因子：
22.4
通讯作者：
ESTES, WK
中科院分区：
文献类型：
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作者：
ESTES, WK
只有当对群体数据的解释或从群体数据得出的推论是没有根据的，并且违反了公认的统计推断原则时，使用基于平均数据的曲线来推断个体曲线或函数关系的性质才是危险的。所涉及的问题和适当的程序，以每3个数学函数进行了讨论：A类，未修改的平均函数;类B，函数的平均复杂的解释参数，但离开形式不变;和C类，函数修改的形式平均。组平均曲线的形式可以提供一种方法来检验关于个体曲线的精确假设，尽管后者的形式不由组平均曲线的形式决定。（PsycINFO数据库记录（c）2019阿帕，保留所有权利）
The use of curves based on averaged data to infer the nature of individual curves or functional relationships is hazardous only when interpretations of the group data, or inferences derived from them, are unwarranted and violate accepted principles of statistical inference. The problems involved in and the procedures appropriate to each of 3 mathematical functions are discussed: Class A, Functions unmodified by averaging; Class B, Functions for which averaging complicates the interpretation of parameters but leaves form unchanged; and Class C, Functions modified in form by averaging. The form of a group mean curve may provide a way to test exact hypotheses about individual curves, although the form of the latter is not determined by the form of the group mean curve.(PsycINFO Database Record (c) 2019 APA, all rights reserved)