Question

6. Consider the additive two way analysis of variance model where Σα:la.-012b1ßi = 0 and the Eij are independent normal randonn vari- ables with zero means and variance ơ2.Let i-1 (a) Show that are unbiased estimators of the respective parameters. (b) (Devore, 1987) In an experiment to assess the effect of the angle of pull on the force required to separate electrical connectors, four different angles (factor A) were used and each of 5 connectors (factor B) were pulled once at each an- gle. ("A Mixed Model Factorial Experiment in Testing Electrical Connectors," Industrial Quality Control, 1960, 12-16). The data are: 1 2 345 45.3 42.2 39.6 36.8 45.8 A 20 44.1 44.1 38.4 38.0 47.2 42.7 42.7 42.6 42.2 48.9 60 43.5 45.8 47.9 37.9 56.4 Use the R output below to perform a two-way analysis of variance to examine whether the data suggest that the average separation force is affected by the angle of the pull. State and test appropriate hypotheses at the 0.05 level of significance. You should report the value of the appropriate statistic, the p- value, the assumptions you have made and your conclusions. 03]

Answer 1

a qiuen that ECEO To tind unbiased abに! J iE 1 식

ert on all 5 lonnedersis Same or at Iast one pcuc Test 5taishis Decision Rle ect Hho2 i