EBK FUNDAMENTALS OF BIOSTATISTICS
8th Edition
ISBN: 9780101123402
Author: Rosner
Publisher: YUZU
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Chapter 7, Problem 113P
To determine
Find whether the observed 2-year risk in the Jupiter statin study is consistent with the given
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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Chapter 7 Solutions
EBK FUNDAMENTALS OF BIOSTATISTICS
Ch. 7.3 - What is the difference between a type I and type...Ch. 7.3 - What is the difference between the critical-value...Ch. 7.3 - Several studies have shown that women with many...Ch. 7.7 - In the BMD study referred to in Case Study 2 (p....Ch. 7.7 - Prob. B.2RECh. 7.7 - Prob. B.3RECh. 7.9 - Prob. C.1RECh. 7.9 - Prob. C.2RECh. 7.9 - How much power did the test in Review Question...Ch. 7 - The mean serum-creatinine level measured in 12...
Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 1 2...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serum-creatinine level measured in 12...Ch. 7 - The mean serumcreatinine level measured in 12...Ch. 7 - The mean serumcreatinine level measured in 12...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Plasma-glucose levels are used to determine the...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the incidence rate of myocardial...Ch. 7 - Suppose the annual incidence of asthma in the...Ch. 7 - Prob. 18PCh. 7 - Suppose the annual incidence of asthma in the...Ch. 7 - Prob. 20PCh. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Ribosomal 5S RNA can be represented as a sequence...Ch. 7 - Suppose we identify 50 women 50 to 54 years of age...Ch. 7 - The drug erythromycin has been proposed to...Ch. 7 - A pilot study of a new antihypertensive agent is...Ch. 7 - A pilot study of a new antihypertensive agent is...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - The proportion of deaths due to lung cancer in...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Iron-deficiency anemia is an important nutritional...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - Suppose a new test is proposed to identify...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - The mortality experience of 8146 male employees of...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Researchers have reported that the incidence rate...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Left ventricular mass (LVM) is an important risk...Ch. 7 - Prob. 60PCh. 7 - Previous studies have shown that supplementing the...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Previous studies have shown that supplementing the...Ch. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Refer to Data Set NIFED.DAT at...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - The combination of photochemotherapy with oral...Ch. 7 - Prob. 72PCh. 7 - Breast cancer is strongly influenced by a womans...Ch. 7 - Prob. 74PCh. 7 - An investigator wants to test a new eye drop that...Ch. 7 - Prob. 76PCh. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Table 7.10 gives the itching scores reported by...Ch. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Concurrent sexual partnerships are widely believed...Ch. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Consider the birthweight data in Example 7.2. What...Ch. 7 - Consider the birthweight data in Example 7.2. Now...Ch. 7 - Prob. 89PCh. 7 - A screening program for neuroblastoma (a type of...Ch. 7 - A screening program for neuroblastoma (a type of...Ch. 7 - Prob. 92PCh. 7 - Prob. 93PCh. 7 - Prob. 94PCh. 7 - Prob. 95PCh. 7 - Prob. 96PCh. 7 - An experiment was performed to assess the efficacy...Ch. 7 - Medical errors are common in hospitals throughout...Ch. 7 - Prob. 99PCh. 7 - Prob. 100PCh. 7 - Prob. 101PCh. 7 - Prob. 102PCh. 7 - Prob. 103PCh. 7 - Prob. 104PCh. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Osteoporosis is an important cause of morbidity in...Ch. 7 - Prob. 108PCh. 7 - Prob. 109PCh. 7 - Prob. 110PCh. 7 - Prob. 111PCh. 7 - Prob. 112PCh. 7 - Prob. 113PCh. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - A study was conducted in Sweden to relate the age...Ch. 7 - Prob. 117PCh. 7 - Prob. 118PCh. 7 - Prob. 119PCh. 7 - Prob. 120PCh. 7 - Prob. 121P
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- The details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. If the smoothing constant is assumed to be 0.7, and setting F1 and F2=A1, what is the exponential smoothing sales forecast for week 7? Round to the nearest whole number. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 80 clocks B. 60 clocks C. 70 clocks D. 50 clocksarrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. Calculate the value of the simple moving average mean absolute percentage error. Round to two decimal places. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Part 1 A. 14.39 B. 25.56 C. 23.45 D. 20.90arrow_forwardThe accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…arrow_forward
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