Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information

Details Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information

2008-12-09

arxiv.org/abs/0812.1625v1

Australian & New Zealand Journal of Statistics, 50, 69-79 (2008)

Statistics

Methodology

Scientific paper

Consider a $2 \times 2$ factorial experiment with more than 1 replicate. Suppose that we have uncertain prior information that the two-factor interaction is zero. We describe new simultaneous frequentist confidence intervals for the 4 population cell means, with simultaneous confidence coefficient 1-alpha, that utilize this prior information in the following sense. These simultaneous confidence intervals define a cube with expected volume that (a) is relatively small when the two-factor interaction is zero and (b) has maximum value that is not too large. Also, these intervals coincide with the standard simultaneous confidence intervals obtained by Tukey's method, with simultaneous confidence coefficient 1-alpha, when the data strongly contradict the prior information that the two-factor interaction is zero. We illustrate the application of these new simultaneous confidence intervals to a real data set.

Affiliated with

Also associated with

No associations

Rating

Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simultaneous confidence intervals for the population cell means for $\boldsymbol{2 \times 2}$ factorial data, utilizing prior information will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281969