Question 2 32 Marks 2 1 Suppose A Two Way Classification Has Only Two Rows And Two Columns B Factor A Factor Leve 1 (57.59 KiB) Viewed 52 times
QUESTION 2 [32 Marks] 2.1 Suppose a two-way classification has only two rows and two columns. B – factor a — factor Level 1 Level 2 Level 1 Y11. Y12. Level 2 y21. Y22. 9.1. y.2. yi.. Y2.. y... Assume Yijk = u + ai +B; + lijk, where i = 1,2; , j = 1, 2. +; = = =
Prove that: 2.1.1 Ralu) = 11.12. (71.-72.)? = (5) n.. 2.2.2 R(Blu, a) = (y.1. -N1171.. -n2172.)? (n11n12/n1.+n2in22/n2.). = (7) 2.2 Consider the following data in a two-way classification: a — factor Level 1 Level 2 Level 1 9, 10, 14 6,3 B – factor Level 2 2, 4, 2, 3, 4 4 10, 12, 15, 14, 15, 18 > 2.2.1 Calculate the analysis of variance tables for the data in the table. (10) 2.2.2 Which factors, if any, are statistically significant? (2)
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