000 03066nam a22004575i 4500
001 978-1-4614-6443-3
003 DE-He213
005 20140220082824.0
007 cr nn 008mamaa
008 130228s2013 xxu| s |||| 0|eng d
020 _a9781461464433
_9978-1-4614-6443-3
024 7 _a10.1007/978-1-4614-6443-3
_2doi
050 4 _aQA276-280
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.5
_223
100 1 _aDesai, Tejas.
_eauthor.
245 1 2 _aA Multiple-Testing Approach to the Multivariate Behrens-Fisher Problem
_h[electronic resource] :
_bwith Simulations and Examples in SAS® /
_cby Tejas Desai.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aV, 55 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Statistics,
_x2191-544X
505 0 _aIntroduction -- On Testing for Multivariate Normality -- On Testing Equality of Covariance Matrices -- On Heteroscedastic MANOVA -- References.
520 _a   In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an  approach to the Behrens-Fisher problem.  Since high-speed computers were not available in Fisher’s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher’s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case.      In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem.  We start out by presenting  a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples.
650 0 _aStatistics.
650 0 _aMathematical statistics.
650 1 4 _aStatistics.
650 2 4 _aStatistical Theory and Methods.
650 2 4 _aStatistics, general.
650 2 4 _aStatistics and Computing/Statistics Programs.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461464426
830 0 _aSpringerBriefs in Statistics,
_x2191-544X
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6443-3
912 _aZDB-2-SMA
999 _c95670
_d95670