Bernard Rosner
ISBN #9781305268920
8th Edition
1,397 Questions
Homework Questions
Fundamentals of Biostatistics provides a comprehensive introduction to statistical methods tailored for biomedical and epidemiologic research. The book builds a foundation in both descriptive and inferential statistics, exploring key themes such as probability theory, estimation, and various hypothesis testing techniques—from one-sample to two-sample, including nonparametric methods. It integrates practical applications by linking statistical tools to real-world biomedical contexts, such as diagnostic testing and the analysis of disease patterns with person-time data. Overall, the text equips readers with the analytical skills needed to effectively design and interpret research studies in health sciences.
Chapter 2
Descriptive Statistics
Chapter 3
Probability
Chapter 4
Discrete Probability Distributions
Chapter 5
Continuous Probability Distributions
Chapter 6
Estimation
Chapter 7
Hypothesis Testing: One-Sample Inference
Chapter 8
Hypothesis Testing: Two-Sample Inference
Chapter 9
Nonparametric Methods
Chapter 10
Hypothesis Testing: Categorical Data
Chapter 11
Regression and Correlation Methods
Chapter 12
Multisample Inference
Chapter 13
Design and Analysis Techniques for Epidemiologic Studies
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Chapter 14
Hypothesis Testing: Person-Time Data
Problem 1
Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of $z$ -scores. If $X=$ raw serum cholesterol, then $$Z=\frac{X-\mu}{\sigma}$$, where $\mu$ is the mean and $\sigma$ is the standard deviation of serum cholesterol for a given age-gender group. Suppose $Z$ is regarded as a standard normal random variable. What is $\operatorname{Pr}(-1.0<Z<1.5) ?$
Sheryl Ezze Numerade Educator
Problem 2
Compute the mean and median for the duration of hospitalization for the 25 patients.
Victor Salazar Numerade Educator
Problem 3
In Section $2.10,$ we described Data Set BONEDEN.DAT (at www.cengagebrain.com) concerning the effect of tobacco use on BMD. Suppose we group the twin pairs according to the difference in tobacco use expressed in 10 pack-year groups (0-9.9 pack-years/10-19.9 pack-years/20-29.9 pack-years/30-39.9 pack-years/40+ pack-years). Compute appropriate descriptive statistics, and provide a scatter plot for $\mathrm{C}$ grouped by the difference in tobacco use in pack-years.
Shu Naito Numerade Educator
Problem 4
Suppose 6 of 15 students in a grade-school class develop influenza, whereas $20 \%$ of grade-school students nationwide develop influenza. Is there evidence of an excessive number of cases in the class? That is, what is the probability of obtaining at least 6 cases in this class if the nationwide rate holds true?
James Kiss Numerade Educator
Problem 5
It is of clinical interest to know if the duration of hospitalization is affected by whether a patient has received antibiotics. Answer this question descriptively using either numeric or graphic methods.
Problem 6
A camera has been developed to detect the presence of cataract more accurately. Using this camera, the gray level of each point (or pixel) in the lens of a human eye can be characterized into 256 gradations, where a gray level of 1 represents black and a gray level of 256 represents white. To test the camera, photographs were taken of 6 randomly selected normal eyes and 6 randomly selected cataractous eyes (the two groups consist of different people). The median gray level of each eye was computed over the $10,000+$ pixels in the lens. The data are given in Table 8.14. What statistical procedure can be used to test whether there is a significant difference in the median gray levels between cataractous and normal eyes?
Rashmi Sinha Numerade Educator
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