Unreplicated fractional factorials, analysis with the half-normal plot and randomization of the run order
| dc.contributor.author | Kunert, Joachim | |
| dc.contributor.author | Wilk, Adrian | |
| dc.date.accessioned | 2011-09-29T09:26:42Z | |
| dc.date.available | 2011-09-29T09:26:42Z | |
| dc.date.issued | 2011-09-29 | |
| dc.description.abstract | There is an ongoing discussion whether it is wise to randomize the run order of a factorial experiment if there is concern about a possible time trend in the experiment. It can be argued that a randomized order is not very effective because the trend inflates the error. Some authors even criticize that a randomized order will normally not be orthogonal to trend, they claim that therefore there will be bias under the randomized order. On the other hand, a systematic order will only be useful if the true trend is behaving as is predicted by the model. The present paper investigates the properties of different run order strategies in a simulation study with unreplicated factorial designs. We check to which extend the presence of a time trend might inflate the probability of false rejection of a true nullhypothesis, and we compare the power of significance tests based on the half-normal plot under the various run order concepts. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/29121 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-2175 | |
| dc.language.iso | en | de |
| dc.relation.ispartofseries | Discussion Paper / SFB 823;38/2011 | |
| dc.subject | Half-normal plot | en |
| dc.subject | Time trend | en |
| dc.subject | Unreplicated factorial designs | en |
| dc.subject | Randomization | en |
| dc.subject.ddc | 310 | |
| dc.subject.ddc | 330 | |
| dc.subject.ddc | 620 | |
| dc.title | Unreplicated fractional factorials, analysis with the half-normal plot and randomization of the run order | en |
| dc.type | Text | de |
| dc.type.publicationtype | workingPaper | de |
| dcterms.accessRights | open access |