Think about a 24 factorial analysis with factors A, B, C, and D. (a) Utilizing characterizing contrasts Stomach muscle and Album, show that if the test is run in four squares the accompanying treatment mixes are appointed to each obstruct:

Square I Square 2 Square 3 Square 4 (I) a c ac abdominal muscle b abc be at aed d promotion abcd bed abd bd

(b) What is the summed up cooperation for this trial? Which square is known as the chief square?

(c) Accepting all unconfounded communications are unimportant, finished the skeleton ANOVA table (wellspring of variety and levels of opportunity) for testing principle impacts.

Question 42

In a relapse model the quantity of levels of opportunity for blunder is n - k - 1, where k is the quantity of regressors in the model and n is the quantity of reactions.

(a) Show that to lead F tests on the model boundaries, the quantity of reactions should surpass the quantity of boundaries in the model.

(b) In a 22 factorial investigation with n = 1, is it conceivable to test for connection? Clarify. (c) In a 23 factorial examination with n = 1, is it conceivable to test for all collaborations? Clarify. (d) In a 23 factorial investigation with n = 1, is it conceivable to test for any association? (e) In a 23 factorial examination with n = 1, what number of cooperations can be tried?

Question 43

The full 22 factorial model is given by = t3o + Pixi 132x2 P17aix2 In testing Ho: P12 = 0, we utilize the strategies for Sec. 12.5. Specifically, we test Ho: decreased model is proper Hey: full model is required (a) Compose the diminished model when testing for collaboration.

(b) Compose the model determination grid for the diminished model.

(c) Discover XX for the decreased model.

(d) Let Y be parceled with the goal that the primary n perceptions address the reactions to treatment blend (1). These are trailed by reactions from medicines a, b, and abdominal muscle, individually. Track down an overall articulation for XY for the diminished model.

(e) Find ifj for the decreased model. (0 Discover SSR for the decreased model.

(g) Discover SSE, and SSE,.

(h) Discover SSE, - SSE,. What number of levels of opportunity are related with this measurement? (See Sec. 12.5.)

(I) Confirm that SSE, - SSE, = SSAB, subsequently supporting the F test depicted in this segment.

Question 44

Select an arbitrary example of 50 one-digit irregular numbers from Table III of Application. A. Test the invalid speculation that the digits 0 to 9 comprehensive happen with equivalent recurrence in this table. TABLE Sick A table of irregular digits

14414141. 1 2 3 4 5 6 7 8 9 19 11 12 13 14 I 10180 15011 01536 02011 11647 91646 69179 14154 62590 36207 20969 99570 91291 90700 2 22368 46573 25595 85393 30095 89198 27982 53402 93965 11093 51666 19174 39615 99505 3 24130 48360 22527 91265 76393 64307 15179 24130 49340 32081 30690 19655 63348 53629 4 42167 93003 06243 61680 07856 16376 39440 53537 71341 570111 00849 74917 97738 16379 5 37570 39975 $1837 16656 06121 91782 60168 81305 49684 60672 14110 06927 01263 54613 6 77921 0(607 11006 42751 27756 , 53198 18602 70659 90655 15053 21916 81625 44394 421910 7 99562 72905 56420 69994 98872 31016 71194 115738 41013 41140 63213 21069 10634 12952 8 96901 91977 05463 07972 18876 20922 94.595 56869 69014 611015 18425 84903 42508 32307 9 89579 14342 63661 10281 17453 18103 57740 84378 25331 11366 58678 44947 05585 56941 10 83485 36857 43342 53981 53060 59533 31167 62)0) 0415$ 17943 16439 11458 13593 64952 II 28913 69578 81231 33276 70997 79936 56465 05159 90106 31395 01547 85590 91610 78183 12 63553 40961 48235 03427 49616 69145 18663 72695 52180 20847 12234 90511 33703 90322 13 01129 93969 52636 92737 88974 33488 36320 17617 30015 08272 84115 27156 30613 74952 14 10365 61129 87529 85689 48237 52267 676139 92294 01511 26351 85104 20285 29975 MO 15 07119 97336 71048 08178 77233 13916 47564 81036 97735 85977 29372 74461 28551 90707 16 51085 12765 $1121 31259 77452 16308 60756 92144 49442 53900 70960 63990 75601 40719 17 02368 21382 52404 60263 89368 19885 55322 44819 01188 65255 64835 44919 03981 35157 18 01011 50092 33362 94901 31273 04146 18594 29852 71555 85030 51132 01915 92747 63951 19 52162 53916 46369 58586 23216 14513 83149 98736 23495 64350 94738 17752 35156 35749 20 07056 97628 33737 09993 426% 06691 76988 13602 51851 46104 88916 19509 25625 53114 21 41663 91245 3158711 14346 09172 30168 90229 01734 59193 22173 30421 61666 99901 32112 22 54161 58492 22421 74103 47070 25306 7E468 26384 38151 06646 21524 15227 96909 44592 23 32639 32363 05597 24200 13363 Cut 94342 WU 35806 06912 17012 61161 13296 22831 24 29311 27001 87637 87308 53731 00256 45134 153% 46557 41135 10367 07614 361161 18510 25 02488 33062 28834 07351 19731 92420 60952 61280 MI 67653 32536 86679 50720 94953 26 11525 72295 0439 96423 24878 82651 66566 14778 76797 14780 13300 87074 79666 95725 27 29676 20591 680146 26432 46901 20849 39768 81536 86645 12659 92259 57102 (4)328 25280 28 00742 57392 39064 66432 14673 40027 32132 61362 98947 96057 64760 64544 96096 98253 29 05366 01213 25669 26422 44407 410% 37937 63904 45766 66131 73470 66520 34693 90149 30 91921 26118 64117 94305 26766 25940 39972 22109 71500 64368 91402 42116 07844 69618 31 00582 04711 17917 77341 42206 35126 74087 99547 81817 42607 43808 76635 61028 76630 32 00725 69811 62797 56170 86324 88072 76222 36086 84637 93161 76038 65855 77919 88036 33 69011 65797 95876 55293 139311 27354 26575 08625 40801 59920 29341 190150 12777 48301 34 25976 37441 NUS 31(01 67917 43708 18912 82271 65424 69774 33611 54262 85963 03547 35 09763 83473 73577 12908 30933 11317 23290 35797 05998 41633 34952 37148 38917 88050 36 91567 42595 27958 30134 01024 86385 29810 99750 55536 84855 29080 09250 79656 73211 37 17955 56349 90999 49127 20144 59931 06115 20542 18059 0208 73708 83517 36103 42791 38 46503 18584 181345 49618 02304 51038 20653 51727 28168 15475 56942 53389 20562 87338 39 92157 89634 94824 78171 84610 82834 09912 15417 44137 48413 25555 21246 33509 20468 40 14577 62765 35605 81263 39667 47333 56173 56307 61607 49518 89636 20103 77490 13062 41 98417 07523 33362 64270 01638 92477 66969 98420 04880 45314 46565 04102 46380 45709 42 34914 63976 138720 82763 34476 17032 87589 40836 31427 70002 .70663 118163 77775 69348 43 70060 28277 39475 46473 23219 53416 94970 25832 69975 94884 19661 72828 00102 66794 44 53976 51914 05990 67245 68350 32908 11391 421178 80237 88267 47363 46634 06541 97109 45 76072 29515 40980 07391 58745 25774 22537 83059 39911 96189 41151 14222 60697 59311 46 90725 52210 83974 29992 63831 33157 50490 83764 55657 14361 31720 57375 56228 41546 47 64364 67412 33339 31926 14883 24413 59744 92951 97473 89286 35931 01110 23726 51903 48 08962 00338 31662 23338 61642 34072 81249 35641 56891 69352 48373 45578 71547 11738 49 95012 61379 93526 70765 10593 04542 76463 34328 02349 17247 28865 14777 62730 92277 so 15664 10493 20192 33391 91132 21999 59316 81662 27195 48223 46751 22923 32261 85653

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