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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)?
TYPE I AND II Errors If a statistical hypothesis is tested, we may get the following four possible cases: The null hypothesis is true and it is accepted; The
Cluster Sampling This method is also known as multi stage sampling .Under this method random selection is made of the ultimate or final units from a given stratum. The sampling
Differentiate between prediction, projection and forecasting.
Cluster Analysis could be also represented more formally as optimization procedure, which tries to minimize the Residual Sum of Squares objective function: where μ(ωk) - is a centr
Evaluate Gross Reproduction Rate: From the data given below compute : i) General Fertility Rate ii) Specific Fertility Rate iii) Total Fertility Rate iv)
Descriptive Statistics : Carrying out an extensive analysis the data was not a subject to ambiguity and there were no missing values. Below are descriptive statistics that hav
Use the information given below to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to
Make a decision about the given claim. Do not use any formal procedures and exact calculation. Use only the rare event rule. Claim: A coin favors head when tossed, and there
The manager of Pizza Hut provides a delivery service for customers who telephone in an order. The manager would like to give callers an idea of the time it will take to deliver an
Read the “JET Copies” Case Problem on pages 678-679 of the text. Using simulation estimate the loss of revenue due to copier breakdown for one year, as follows: 1. In Excel, use a
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