Chapter 1: Q 1.28. (page 15)
Identify two statistical methods other than a census for obtaining information.
Short Answer
Experimentation and Sampling are the two statistical methods other than a census for obtaining information.
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Chapter 1: Q 1.28. (page 15)
Identify two statistical methods other than a census for obtaining information.
Experimentation and Sampling are the two statistical methods other than a census for obtaining information.
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In Exercises 1.92-1.97, we present descriptions of designed experiments. In each case, identify the
(a) experimental units
(b) response variable
(c) factor (s)
(d) levels of each factor:-
(e) treatments.
Sexual Signals. In a study by A. Elliot et al . , titled " Women's Use of Red Clothing as a Sexual Signal in Intersexual Interaction " (Journal of Experimental Social Psychology, Vol. 49, Issue 3, pp. 599-602), women were studied to determine the effect of apparel color choice based on perceived attractiveness and gender of a new acquaintance. The following experiment is based on the researchers' investigation. Women are randomly assigned to be told that they would be conversing with an attractive male, an unattractive male, an attractive female, or an unattractive female. The women must wear a standardized shirt before the conversation but can choose between red, green, and blue.
The International 500. Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine's list of "The International 500."
(a) Use Table I in Appendix A to obtain 10 random numbers that you can use to specify your sample. Start at the three-digit number in line number 14 and column numbers 10-12, read down the column, up the next, and so on.
(b) If you have access to a random-number generator, use it to solve part (a).
The members of a population have been numbered 1-100. A sample of size 30 is to be taken from the population, using cluster sampling. The clusters are of equal size 10, where cluster #1 consists of the members of the population numbered 1-10, cluster #2 consists of the members of the population numbered 11-20, and so forth.
(a) Apply Procedure 1.2 on page 18 to determine the sample (i.e., the numbers corresponding to the members of the population that are included in the sample).
(b) Suppose that, in Step 2 of Procedure 1.2, clusters #2, #6, and #9 are selected. Determine the sample.
In Exercises 1.17-1.22, state whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case.
Heart Failure. In the paper "Cardiac-Resynchronization Therapy with or without an Implantable Defibrillator in Advanced Chronic Heart Failure" (New England Journal of Medicine, Vol. 350, pp. 2140-2150), M. Bristow et al. reported the results of a study of methods for treating patients who had advanced heart failure due to ischemic or nonischemic cardiomyopathies. A total of 1520 patients were randomly assigned in a 1:2:2 ratio to receive optimal pharmacologic therapy alone or in combination with either a pacemaker or a pacemaker-defibrillator combination. The patients were then observed until they died or were hospitalized for any cause.
Keno. In the game of keno, 20 balls are selected at random from 80 balls numbered 1-80.
(a) Use Table I in Appendix A to simulate one game of keno by obtaining 20 random numbers between 1 and 80. Start at the two-digit number in line number 5 and column numbers 31-32, read down the column, up the next, and so on.
(b) If you have access to a random-number generator, use it to solve part (a).
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