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Different analyses of recurrent events data:
The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to illustrate different analyses of recurrent events data using different models. The data consist of 86 patients with superficial bladder tumors, which were removed when the patients entered the study. Of these patients, 48 were randomized into the placebo group, and 38 were randomized into the thiotepa group. Many patients had multiple recurrences of tumors during the study, and new tumors were removed at each visit. The data set contains the first four recurrences of the tumor for each patient, and each recurrence time was measured from the patient's entry time into the study. The data consist of the following eight variables:
Write the formulae of the proportional intensity and the proportional mean models estimated using appropriate SAS procedures (define the relevant variables, functions, parameters and identify the formulas for two models) using the covariate x (x=O for placebo and x=l for thiotepa). What are the variance estimates for these two regression estimates (specify their numerical values and the names of the estimators )?Interpret the main results of the analyses of bladder cancer data under these two models. Are the key modeling assumptions of these analyses are justified (provide relevant plots with explanations)?
Cartogram or Mapograph: Statistical maps are also used to represent data like density of population indifferent states in the country or different countries in the world or th
Question 1 Suppose that you have 150 observations on production (yt) and investment (it), and you have estimated the following ADL(3,2) model: (1 – 0.5L – 0.1L2 – 0.05L3)yt = 0.7
There are situations where none of the three averages is fully satisfactory. For example, if the number of items in a series is very small, none of these av
For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide h
Using the raw measurement data presented below, calculate the t value for independent groups to determine whether or not there exists a statistically significant difference between
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Consider a Cournot duopoly with two firms (firm 1 and firm 2) operating in a market with linear inverse Demand P(Q) = x Q where Q is the sum of the quantities produced by both
Create the Venn diagram: A - you work for an insurance company. 80% of your company's staff is sales force and 70% of your company's sales is force is male. in your company
The proportion of American Express credit-card holders who pay their credit card bill in full each month is 23%; the other 77% make only a partial or no payment. (a) In a random
Consider the following linear regression model: a) What does y and x 1 , x 2 , . . . . x k represent? b) What does β o , β 1 , β 2 , . . . . β k represent?
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