INTER BUSINESS STATS
INTER BUSINESS STATS MGT 310
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This 2 page Class Notes was uploaded by Merle Hoeger on Saturday September 26, 2015. The Class Notes belongs to MGT 310 at Clemson University taught by Gregg Thomas in Fall. Since its upload, it has received 5 views. For similar materials see /class/214294/mgt-310-clemson-university in Business, management at Clemson University.
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Date Created: 09/26/15
7 one nnmmal scaled mdependent vanable Tvm nrmnre k treatment levels nr dassl caunns one mterval nr raun scaled dependent vana e Used tn analyze cnmpletely randnmzed expenmental deslgqs Hn 1t2 H Atleasttwn treatment means dlffer rwherele A assnclated wand MSE Flshel sLSD Tukey39s Muluple Cnmpansnn Medand lfynu plan tn cnmpare Mpaxxilllz cambimians use Tukey x canpan39xan mm The randnmized black design nnslsts n f a twnr step pm cedure 1 2H dhlnrh 2w MW 1 Theb blnclrs shnuld cnnsrst nfexpenmental unrts that are as slmllar as pnssrble 7 h t t V F n bk respnnses Reduces sampllng vanabrlrty MSE Matched sets nfexpenmental umts blush ne e enmental umt frnm eaclnblnclr ls randnmly asslgned tn each treatment ANOVA FrTestw CD are mm Ran lnmized BlackDesig c 2 an H At leastth treatment means dlffer wlnere in k A n it 7 1m dennmmatnr degrees nffreednm Cnnd 39nns Required fur a Valid ANOVA F4251 Randnmized BlackDesig 1 2 3 All bkblnckrtreatment drstnbutrnns have equal vanances I St Stallsu l FZMST MSE l MST ls Mean Square fnr Treatment 2 MSE ls Mean Square fnr Errnr Degrees anreednm 2 m be l numeratnr n are k 7b l dennmmatnr 1 Number nfgnups 2 Intal sample slze 3 umber nfblnclrs L number affactnrrlevel cmmbmaunns Alsu referred tn as a twnrway classlrrcaunn 39 39 39 Trmhnent Textor IredmmMem Hn Nn drfference amnng Lheab treatmentmeans H At least twn treatment means ddffer Vt e s r e 1 rear for mm lmmtn39an Hn Factnrs A and 5 dn nnt mteract tn affect tlae respnnse mean H FaclnrsA andB dn mteract tn affecttlaerespnnse mean t e l s l Advantages anacwrial Designs Saves ume and effnrt e e g onuld use separate cnmpletely randnmzed desrgns fnr eacln van b e nntrnls nnfnundmg effects by puttrng ntlner vanables mtn mndel bles C Can explnre mteractrnn between vana Two7Way ANOVA Same results as separate oneway ANOVA on each variable 7 o interaction can be teste Used to analyze factorial designs Interaction Occurs when effects of one factor vary according to levels of other factor Can be detected 7 In data table pattern of cell means in one row differs from anot er row 7 In aph of cell means lines cross Properties oi the Multinomial Experimen 1 The e consists ofrl identical trials was a l a xpenment 2 quot A categories or cells 3 t dennted h 39 39 39 Fl pz pt 1 4 The trials are independent 5 The random variables of interest are the cell counts n1 n2 ofthe number of observations that fall in each ofthe k classes In this section we consider a multinomial experiment with k 39 39 39 1 39 39 ariau W 39 Th u 4 Typically one7way table 39 in me It 39 39 39 A Test of allypothesis about Multinomial Probabilities 0ne7Way Table H39 ipiupzpzu kthn u wherepibmzb 77pm Hr t least one ofthe multinomial probabilities does not equal its hypothesized value General Form of a Contingency Table Analysis f7Test for Independence Hg The two classiiications are indepen n Hi The two classifications are dependent where Caution about the X2 Test The 2 39 inc Be certain the experiment satis es the assumptions Be certain the sample is drawn from the correct population Avoid using when the expected counts are very small The 2 39 inc 39 39 39 Be certain the experiment satis es the assumptions Be certain the sample is drawn from the correct population Avoid using when the expected counts are very small