Question

3. Two drugs are compared to see which of them is more likely to produce unpleasant side effects. Each of 100 subjects is given the two drugs on different occasions. The results are tabulated below Nausea with drug B 38 10 No nausea with B Nausea with drug A No nausea with A 50 Let pij denote the probabilities that a patient has a response in the ijth cell. For instance p12 denotes the probability that a patient experiences nausea with drug A but does not experience nausea with drug B The question of interest is whether there is evidence of a real difference between the drugs (a) The null hypothesis can be expressed as: The probability that a patient experiences nausea using drug A equals the probability that a patient experiences nausea using drug B. Express this hypothesis in terms of the Pij (b) Obtain the maximized log likelihood under the full model for the data that places no restrictions on the pij. You can use any results that you know about likelihoods and MLEs for multinomial data (c) Obtain the result of a likelihood ratio test of the hypothesis in (a). You can use any results that you know about likelihoods and MLEs for multinomial data.

Answer 1

1 ) Configuration is totally randomized since it centers around just the treatment (two distinct medications) impacts making it a solitary factor test. The designation of subjects is randomized.

2 ) Configuration is coordinated sets in light of the fact that by picking each pair having a similar estimation of the PCF, the impact of PCF, assuming any, is the equivalent for the two individuals from the pair and subsequently can be considered as indistinguishable elements. Subsequently, the distinction in the reaction variable for each pair turns into the measurement of concern.

3 )

Configuration does not fit into any of the recorded plans.

Unmistakably Design 2 is the best of the parcel as far as test blunder minimization. It perceives the presence of PCF and furthermore takes due consideration of that. The impact of PCF, assuming any, is invalidated by blending. Arbitrary task limits predisposition.

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