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Excel在统计分析中的应用—第八章—假设检验-方差未知且小样本下总体均值的单侧检验

2017-11-24 19:22 1436 查看
这个例子有点让我摸不着头脑了,一会儿左尾、一会儿右尾,一会儿双尾、双侧,有点乱啊。
经过一番研究,确定应该是教材中的T函数类型用错了(有可能是旧版本Excel函数的bug),出现了检验方法与实例解答不一致。本文已修复这个错误(红色框部分标识了修复的部分)。
在实际应用中,要注意临界值及尾型(单、双;左、右)不要搞错!



解答:



另外,T函数说明如下:
“The Excel T.DIST function calculates the one-tailed Student's T Distribution, which is a continuous probability distribution that is frequently used for testing hypotheses on small sample data sets.

The T.DIST function is new to Excel 2010 and so is not available in earlier versions of Excel.

The syntax of the function is:

T.DIST( x, degrees_freedom, cumulative )

where the function arguments are:

x-The value at which you want to evaluate the distribution.

degrees_freedom-The number of degrees of freedom (must be ≥ 1).

cumulative-A logical argument which denotes the type of distribution to be used:

TRUE=Cumulative Distribution Function

FALSE=Probability Density Function”

“The Excel T.INV function calculates the left-tailed inverse of the Student's T Distribution, which is a continuous probability distribution that is frequently used for testing hypotheses on small sample data sets.

The T.INV function is new in Excel 2010, and so is not available in earlier versions of Excel.

The syntax of the function is:

T.INV( probability, degrees_freedom )

Where the function arguments are:

probability-The probability (between 0 and 1) for which you want to evaluate the inverse of the left-tailed Student's T Distribution.

degrees_freedom-The number of degrees of freedom (must be ≥ 1).”
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