Question: The table below refers to a survey by the Wright State University School of Medicine and the United Health Services in Dayton, Ohio. The

The table below refers to a survey by the Wright State University School of Medicine and the United Health Services in Dayton, Ohio. The

The table below refers to a survey by the Wright State University School of Medicine and the United Health Services in Dayton, Ohio. The survey asked 2276 students in their final year of high school in a nonurban area near Dayton, Ohio, whether they had ever used alcohol (A), cigarettes (C), or marijuana (M). Alcohol. Use Cigarette. Use Yes No. Yes No Yes No The information below is from the logit model treating M as the response (1 for Yes, 0 for No) and C and A as the predictors. Deviance Residuals: Call: glm (formula = cbind (yes, no) C + A, family 1 Marijuana. Use Yes No Coefficients: CYes AYes 2 3 0.03353 -0.09697 -0.34739 0.49273 4 911 538. 44 456 3 43 2 279 = binomial, data = Estimate Std. Error z value Pr(>|z|) (Intercept) -5.3090 0.4752 -11.172 < 2e-16 *** 2.8479 2.9860 0.1638 17.382 < 2e-16 *** 0.4647 6.426 1.31e-10 *** Signif. codes: 0 '*** 0.001 '**' 0.01 * 0.05. 0.1 1 Null deviance: 843.82664 on 3 Residual deviance: 0.37399 on 1 AIC: 25.101 Number of Fisher Scoring iterations: 4 (Dispersion parameter for binomial family taken to be 1) degrees of freedom degrees of freedom dfb) (a) Find the estimated odds ratio for alcohol use (Yes vs. No) with marijuana use (the AM odds ratio). Interpret the odds ratio by using it in a sentence. [4 pts] (b) Is the AM odds ratio you reported conditional or not? If so, what is it conditional on? [4 pts] (c) Does the estimated AM odds ratio depend on the value of C? Why or why not? What type of association between A and M is this called? [4 pts] (d) Perform a goodness-of-fit test for this model. Does it fit well? How is this test related to the test for interaction between A and C? [4 pts] (e) Calculate the marginal odds ratio for AM (note be careful about what values you are summing together). Does this differ from the AM odds ratio estimated by the model? Is there evidence of confounding by C on the AM odds ratio? [4 pts]

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Find the estimated odds ratio for alcohol use Yes vs No with marijuana use the AM odds ratio Interpret the odds ratio by using it in a sentence 4 pts 4 049273 The estimated odds ratio for alcohol use ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The table below refers to seven industries. Required: For each industry, identify one important risk faced by the companies that compete within that industry. Also, describe one control that...

The table on the following page refers to a survey 3 in which senior high school students in Dayton, Ohio, were randomly sampled. It cross-tabulates whether a student had ever smoked cigarettes and...

The Energy vs Time graph below refers to a block sliding down an inclined plane. Energy vs. Time Time (s) CDLB A a. The dashed blue line (bottom line) on the graph represents A kinetic energy (E) B....

Construct a 95% profile likelihood based confidence interval for the population odds ratio of suffering a germinal matrix hemorrhage for children whose mothers were diagnosed with toxemia relative to...

2. Logistic Regression;[50 points) The same researcher used logistic regression to relate osteoporosis (1 = osteoporosis diagnosis; 0 = no osteoporosis diagnosis) to calcium levels in the blood...

At the 0.05 significance level, test the null hypothesis that 1 is equal to 0 using Wald test in R. What is the value of the test statistic? What's the distribution of the test statistic (including...

For the 23 space shuttle flights that occurred before the Challenger mission in 1986, the table below shows the temperature (F) at the time of the flight and whether at least one of the six primary...

Call: g1m(formula = cbind(Agrade, n - Agrade) ~ caffeine + I(caffeine/2), family = binomial, data = caffeine. df) Deviance Residuals: Min 1Q Median 3Q Max -1. 38859 -0.67591 -0.08634 0 . 69945 1....

The following results were obtained through a Multiple Linear Regression analysis. This dataset contains the measured above-ground biomass of oak seedlings (in grams) along with their measured basal...

A 4 F capacitor and a 5 F capacitor are connected in series across an 7 V potential source. What is the potential difference across the 4 F capacitor?Express your answer in V with one decimal place....

Four technicians are required to do four different jobs. Estimates of time to complete every job as provided by the technicians are as below: Technician Hours to Complete Job Job 1 Job 2 Job 3 Job 4...

Problem description The problem at hand relates to a waiting time management of queues in a typical bank. In a bid to improve the level of service at the tellers, a bank manager seeks to find...

What keyword can be used to create a named identifier for a memory location whose contents cannot change?

Assume that the holding cost is $2, the ordering cost is $3.50, and the order quantity is 500. What is the demand, if the Total Cost is $640?

After successfully adopting new software in your department, you take your subordinates out to lunch to show your appreciation for their hard work. According to Lewin\'s model of change, what stage...

how might a company prevent cash or checks from being stolen that are delivered in the mail. (forensics accounting)

You work as an operations consultant for a textile company. Your client has a well-established distribution system in the US market. The company has hundreds of stores and four distribution centers....

Madison Seniors Care Center is a nonprofit organization that provides a variety of health services to the elderly. The center is organized into a number of departments, one of which is the...

Fitness Fanatics is a regional chain of health clubs. The managers of the clubs, who have authority to make investments as needed, are evaluated based largely on return on investment (ROI). The...

Alyeski Tours operates day tours of coastal glaciers in Alaska on its tour boat the Blue Glacier. Management has identified two cost driversthe number of cruises and the number of passengersthat it...

Determine the appropriate critical value(s) for each of the following tests concerning the population proportion: a. upper-tailed test: a 0.025, n 48 b. lower-tailed test: a 0.05, n 30 c....

Given the following null and alternative hypotheses H0: p 0.60 HA: p 0.60 test the hypothesis using a 0.01 assuming that a sample of n 200 yielded x 105 items with the desired attribute.

At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their...