RETRACTED ARTICLE: The probable error in the hypothesis test of normal means using a small sample

The Editors

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 1, (i)-(vi)

Abstract: We, the Author, the Editors and Publishers of Communications in Statistics – Theory and Methods, have retracted the following article:Sungsu Kim (2019) The probable error in the hypothesis test of normal means using a small sample, Communications in Statistics - Theory and Methods, DOI: 10.1080/03610926.2019.1703135The author has requested to retract this article due to the research presented being invalid. In the article, K1 in (2) is one to one function of the usual tn−1 as shown below. Hence, the tests based on K1 and tn−1 are the same.K1=n(x¯−μ0)(∑(xi−μ0)2n)12;tn−1=n(x¯−μ0)(∑(xi−x¯)2n−1)12; K1=tn−1nn−1+tn−12.Likewise, for the two-sample test, K2 in (4) is one to one function of the usual tn1+n2−2. Hence, the tests based on K2 and tn1+n2−2 are the same.K2=n1+n2(x¯1−x¯2)(∑(x1i−x¯)2+∑(x2i−x¯)2n1+n2−1)12;tn1+n2−2=n1+n2(x¯1−x¯2)(∑(x1i−x¯1)2+∑(x2i−x¯2)2n1+n2−2)12;K2=tn1+n2−2n1+n2−1n1+n2−2+tn1+n2−22.There were code-mistakes in obtaining the results in Tables 1–3.We have been informed in our decision-making by our policy on publishing ethics and integrity and the COPE guidelines on retractions.The retracted article will remain online to maintain the scholarly record, but it will be digitally watermarked on each page as “Retracted.”

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2019.1703135 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:50:y:2021:i:1:p:(i)-(vi)

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2019.1703135

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().