A researcher has determined that the data obtained in a small study are clearly not Normally distributed.If the researcher had hoped to make inferences based on the data,what might the researcher consider doing in this situation?
A)If the non-Normality is due to the presence of outliers,careful examination may reveal that they are from a different distribution and hence may be removed legitimately.
B)A transformation might be applied to the data to make them more nearly Normal.
C)A nonparametric method such as a rank test based on the rank of each of the observations might be used.
D)A specific distribution other than the Normal might be found,which will serve as an appropriate model for the data.
E)Each of the above might be a possible procedure for the researcher to try.

Question

Quizplus · Accepted Answer

Each of the given options is a valid approach that the researcher can consider based on the nature of the non-Normality in the data. If outliers are responsible for the non-Normality, option A is a reasonable approach. If a transformation can improve the data's Normality, then option B can be adopted. Similarly, if the data cannot be transformed, but their distributional assumptions can be relaxed, a non-parametric approach (option C) can be used. In some situations, a particular distribution may fit the data better than the Normal distribution, making option D relevant. Therefore, the researcher should explore all the options before arriving at a decision.

A Researcher Has Determined That the Data Obtained in a Small