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(b) Check the goodness of fit of the following hierarchical models:• (M1) main effects only• (M2) all two-way interaction terms• (M3) all three-way interaction termsWhat is the lowest order model that reasonably fits the data? Give reasons.(c) What is the error message if you fit the four- and five-way interaction terms?What may be causing this?(d) Based on the model chosen in part (a), perform forward selection using partitionedG2 statistics to choose a best model. Justify your steps in a manner similar to thelecture notes

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(b) Check the goodness of fit of the following hierarchical models:• (M1) main effects only• (M2) all two-way interaction terms• (M3) all three-way interaction termsWhat is the lowest order model that reasonably fits the data? Give reasons.(c) What is the error message if you fit the four- and five-way interaction terms?What may be causing this?(d) Based on the model chosen in part (a), perform forward selection using partitionedG2 statistics to choose a best model. Justify your steps in a manner similar to thelecture notes

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