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Refer to a landmark study conducted in 1896 in Denmark by Dr. Johannes Fibiger, who went on to receive the Nobel Prize in Medicine in \(1926 .\) The purpose of the study was to determine the effectiveness of a new serum for treating diphtheria, a common and often deadly respiratory disease in those days. Fibiger conducted his study over a one-year period (May 1896-April 1897) in one particular Copenhagen hospital. New diphtheria patients admitted to the hospital received different treatments based on the day of admission. In one set of days (call them "even" days for convenience), the patients were treated with the new serum daily and received the standard treatment. Patients admitted on alternate days (the "odd" days) received just the standard treatment. Over the one-year period of the study, eight of the 239 patients admitted on the "even" days and treated with the serum died, whereas 30 of the 245 patients admitted on the "odd" days died. (a) Describe the control and treatment groups in Fibiger's study. (b) What conclusions would you draw from Fibiger's study? Explain.

Short Answer

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(a) The control group in Fibiger's study included patients admitted on 'odd' days, who received only the standard treatment. The treatment group, admitted on 'even' days, received both the new serum and the standard treatment. (b) The study indicates that the serum is effective in reducing the mortality rate of diphtheria, as the death rate was significantly lower among those who received it alongside the standard treatment.

Step by step solution

01

Identify Control and Treatment Groups

The control group is the group of patients who were admitted on 'odd' days. These patients received only the standard treatment for diphtheria. The treatment group is the group of patients who were admitted on 'even' days. They were treated with the new serum alongside the standard treatment.
02

Analyze Death Rates and Draw Conclusions

Over the one-year period, 8 out of 239 patients in the treatment group died. This represents a mortality rate of \(\frac{8}{239} \approx 0.0335\), or about 3.35%. On the other hand, 30 out of the 245 patients in the control group died, a mortality rate of \(\frac{30}{245} \approx 0.1224\), or about 12.24%. From these statistics, it can be concluded that the new serum appears to have a significant effect in reducing the mortality rate of diphtheria, as the death rate is considerably lower in the treatment group than in the control group.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Experimental Design
Experimental design is a methodical approach to conducting scientific research. It aims to ascertain cause-and-effect relationships by controlling various variables. In the early days of research like Dr. Fibiger's 1896 study, setting up an experiment was key to drawing meaningful conclusions. An experiment typically involves dividing subjects into different groups, manipulating certain factors, and observing the outcomes. In Fibiger's study, he monitored the effectiveness of a diphtheria serum by creating a controlled environment within a single Copenhagen hospital. A well-structured experimental design ensures that variables other than the one being tested, in this case, the serum's effectiveness, do not affect the outcome. This methodical approach is what gives scientific research its robustness and validity.
Control Group
The control group acts as a baseline in experiments, providing a standard by which the effects of the treatment can be compared. In Fibiger's study, the patients who were admitted on 'odd' days and received only the standard treatment were the control group. It's crucial that the control group is similar to the treatment group in every way possible except for the treatment being tested. This similarity ensures that differences in outcomes can be attributed to the treatment itself rather than other factors. By contrasting the results between the control and treatment groups, researchers can isolate the effect of the new serum, validating whether the intervention has a significant impact.
Treatment Group
In an experimental design, the treatment group is subjected to the intervention being tested. For Fibiger's study, patients admitted on 'even' days made up the treatment group. They received the standard diphtheria treatment along with the new serum. By adding the serum to the existing treatment, researchers aimed to determine its additional benefits. Studies often have multiple treatment groups to test different variables or dosages, but Fibiger's study focused solely on comparing the serum's effect. This method allowed for a clear evaluation of its effectiveness, isolated from other changes.
Mortality Rate
The mortality rate is a vital statistic in medical studies that aids in understanding the impact of a treatment. It is essentially the proportion of deaths within a specific group over a set period. In the mentioned study, the treatment group's mortality rate was roughly 3.35%, while the control group had a significantly higher rate of about 12.24%. These numbers are more than just statistics; they reflect the potential life-saving capacity of the intervention being studied. Lower mortality rates in the treatment group suggest that the new serum may effectively reduce deaths from diphtheria.
Clinical Trial
A clinical trial is a research study performed with human subjects to evaluate medical interventions. Dr. Fibiger’s study is an early example of a clinical trial. These trials are crucial for determining the safety and efficacy of new treatments. They usually progress in stages, starting with small-scale tests and potentially escalating to larger populations if successful. The outcomes of a clinical trial can lead to groundbreaking advancements in medicine, as evident in this case, with substantial reductions in mortality rates serving as compelling evidence for the serum's benefits.

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Most popular questions from this chapter

Refer to the following story (see also Exercise 32): The Dean of Students at Tasmania State University wants to determine how many undergraduates at TSU are familiar with a new financial aid program offered by the university. There are 15,000 undergraduates at \(T S U,\) so it is too expensive to conduct a census. The following sampling method, known as systematic sampling, is used to choose a representative sample of undergraduates to poll. Start with the registrar's alphabetical listing containing the names of all undergraduates. Randomly pick a number between 1 and \(100,\) and count that far down the list. Take that name and every 100 th name after it. For example, if the random number chosen is \(73,\) then pick the \(73 \mathrm{rd}, 173 \mathrm{rd}, 273 \mathrm{rd},\) and so forth, names on the list. (a) Explain why the method used for choosing the sample is not simple random sampling. (b) If \(100 \%\) of those responding claimed that they were not familiar with the new financial aid program offered by the university, is this result more likely due to sampling variability or to sample bias? Explain.

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Refer to the following story: The 1250 students at Eureka High School are having an election for Homecoming King. The candidates are Tomlinson (captain of the football team), Garcia (class president), and Marsalis (member of the marching band). At the football game a week before the election, a pre- election poll was taken of students as they entered the stadium gates. Of the students who attended the game, 203 planned to vote for Tomlinson, 42 planned to vote for Garcia, and 105 planned to vote for Marsalis. Name the sampling method used for this survey.

The critically endangered Maui's dolphin is currently restricted to a relatively small stretch of coastline along the west coast of New Zealand's North Island. The dolphins are "captured" by just collecting samples of DNA and "tagged" by identifying their DNA fingerprint. A \(2010-2011\) capturerecapture study "captured" and "tagged" 26 Maui's dolphins in 2010. In 2011, 27 Maui's dolphins were "recaptured" and through their DNA, 12 were identified as having been "tagged" in 2010. Based on these figures, estimate the population of Maui's dolphins in 2011. [Source: Oremus, M., et al, "Distribution, group characteristics and movements of the critically endangered Maui's Dolphin (Cephalorhynchus hectori maui)." Endangered Species Research, preprint.]

The Dean of Students at Tasmania State University wants to determine how many undergraduates at TSU are familiar with a new financial aid program offered by the university. There are 15,000 undergraduates at TSU, so it is too expensive to conduct a census. Instead, the dean decides to conduct a survey using a sample of 150 undergraduates. Describe how the dean might implement each of the following sampling methods. (See also Exercises 57 through \(60 .\) ) (a) Simple random sampling (b) Convenience sampling (c) Stratified sampling (d) Quota sampling

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