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The article "Study Points to Benefits of Knee Replacement Surgery Over Therapy Alone" (New York Times, October 21,2015\()\) describes a study to compare two treatments for people with knee pain. In the study, 50 people with arthritis received knee replacement surgery followed by a program of exercise. Another 50 people with arthritis did not have surgery but received the same program of exercise. After 1 year, \(85 \%\) of the people who had surgery and \(68 \%\) of the people who did not have surgery reported pain relief. a. Why is it important to determine if the researchers randomly assigned the subjects to one of the two groups? b. Explain why you think that the researchers might have wanted to include a control group in this study.

Short Answer

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a. It is important to determine if the researchers randomly assigned the subjects to one of the two groups because random assignment helps control for confounding factors and minimize biases, ensuring that any observed differences in outcomes are likely due to the treatments themselves, rather than other factors. This increases the internal validity of the study. b. The researchers might have wanted to include a control group to have a comparison group that does not receive the treatment (knee replacement surgery) to evaluate the effectiveness of the treatment. A control group is vital for determining whether the treatment has a genuine effect on the outcome, and it helps prevent misleading conclusions about the treatment's efficacy.

Step by step solution

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a. Importance of Random Assignment

Random assignment is an essential feature of experimental design in scientific studies because it helps to control for confounding factors. Confounding factors are variables that could affect the study results and erroneously suggest a causal relationship between two variables. By randomly assigning participants to the two treatment groups, the researchers can ensure that any differences in the outcomes observed are likely due to the treatments themselves, rather than other factors. If the subjects were not randomly assigned, it could lead to biased results, as participants with certain characteristics might be more likely to be in one group, leading to an imbalance between the groups and thus affecting the study's outcomes. Random assignment helps to minimize such biases, increasing the internal validity of the study.
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b. Role of Control Group

The researchers might have wanted to include a control group in order to have a comparison group that does not receive the treatment (knee replacement surgery) to evaluate the effectiveness of the treatment. A control group is vital for determining whether the treatment has a genuine effect on the outcome or if any observed changes are simply due to natural processes or other factors unrelated to the treatment. In this case, the control group received only the exercise program, allowing the researchers to compare the outcomes between those who received the surgery and those who did not. By comparing the results from each group, the researchers can determine if knee replacement surgery significantly improves pain relief relative to exercise alone. Without a control group, it would be challenging to determine if the knee replacement surgery is truly effective, leading to potentially misleading conclusions about the treatment's efficacy.

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Key Concepts

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

Random Assignment
When it comes to constructing reliable and trustworthy scientific studies, random assignment plays a pivotal role. Imagine being part of a study where participants are chosen for different treatments based on arbitrary decisions—this could easily introduce biases. Random assignment is like a safeguard; it randomly allocates subjects into distinct groups, such as treatment or control groups, ensuring that each participant has an equal chance of being assigned to any given group.

This process is critical because it dilutes the impact of confounding variables—those pesky extraneous factors that could contaminate the results. By assigning participants randomly, researchers can be more confident that the outcomes they observe are a direct result from the treatments being tested and not from differences among the participants themselves. If 50 people with arthritis are randomly divided into two groups, one for knee replacement surgery and one for exercise, any subsequent differences in pain relief can more reliably be attributed to the surgery's impact, not to underlying differences between the groups.
Control Group
The control group in scientific research serves as the baseline; it's the 'standard' to which everything else is compared. Going back to our study on knee pain, the control group is those 50 people who engaged in exercise without undergoing knee replacement surgery. They provide a reference point to measure the effect of the surgery against.

Now, you might be thinking, why not just look at how the surgery group fares on their own? Well, without a control group, there's no way to tell if the surgery is genuinely effective or if people would have experienced pain relief over time regardless. The control group addresses this by showing us what happens when the active variable (the surgery) is absent. This way, if 85% of surgery patients report pain relief compared to 68% in the control group, researchers can be more confident that the surgery has a real, beneficial impact on pain relief.
Internal Validity
Internal validity refers to the extent to which the results of a study can be attributed to the interventions being tested, rather than external factors. It's like assurance that the study is well-designed and its conclusions are sound. A study on knee replacement surgery must account for internal validity by controlling potential confounding factors to confirm that any differences in outcomes, such as pain relief, are indeed due to the surgery.

Researchers can enhance internal validity by, for example, keeping participants blind to the treatment they're receiving, or by ensuring that the follow-up period for assessing outcomes is the same for all groups. If, after one year, a significantly higher percentage of the surgery group reports pain relief, and the study has high internal validity, the researchers can assert with confidence that the surgery likely caused the improvement.
Confounding Factors
Confounding factors are those external influences that can 'confuse' the results of a study. Imagine if in the knee pain study, people who opted for the surgery were generally healthier or had a more active lifestyle than those who didn’t—these differences could affect pain relief outcomes just as much as the surgery itself. Confounding factors can create a false impression of a cause-and-effect relationship when there might not be one.

To reduce the impact of confounding factors, it’s crucial for researchers to recognize them and include strategies for control, such as random assignment and establishing a control group. Ensuring participants in both the experimental and control groups are similar in all major aspects except the treatment allows researchers to be more confident that any differences in outcomes are truly due to the treatment being tested.

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Most popular questions from this chapter

Whether or not to continue a Mardi Gras Parade through downtown San Luis Obispo, California, is a hotly debated topic. The parade is popular with students and many residents, but some celebrations have led to complaints and a call to eliminate the parade. The local newspaper conducted both an online survey and a telephone survey of its readers and was surprised by the results. The online survey received more than 400 responses, with more than \(60 \%\) favoring continuing the parade, while the telephone response line received more than 120 calls, with more than \(90 \%\) favoring banning the parade (San Luis Obispo Tribune, March 3,2004 ). What factors may have contributed to these very different results?

The article "Why We Fall for This" (AARP Magazine, May/June 2011) described a study in which a business professor divided his class into two groups. He showed students a mug and then asked students in one of the groups how much they would pay for the mug. Students in the other group were asked how much they would sell the mug for if it belonged to them. Surprisingly, the average values assigned to the mug were quite different for the two groups! Indicate whether the study is an observational study or an experiment. Give a brief explanation for your choice.

The SurveyMonkey Blog (February } 11,2015, retrieved September 25,2016\()\) includes an article titled "5 Common Survey Question Mistakes That'll Ruin Your Data." Read this short article, which can be found at the following website, and then answer the following questions. Www.surveymonkey.com/blog/2015/02/11/5 -common-survey-mistakes-ruin-your-data/ a. One of the recommendations in the article is "Don't write leading questions." Give an example of a leading question that is different from the two examples given in the article. Explain why you think the question is a leading question and then suggest a better way to word the question. b. Select one of the other four recommendations and give an example of a bad question related to that recommendation. Then suggest a better way to word the question.

The paper "Effect of a Nutritional Supplement on Hair Loss in Women" (Journal of Cosmetic Dermatology \([2015]: 76-82)\) describes an experiment to see if a dietary supplement consisting of Omega \(3,\) Omega \(6,\) and antioxidants could reduce hair loss in women with stage 1 hair loss. One hundred twenty women volunteered to participate in the study and were randomly assigned to either the supplement group or a control group. The women in the supplement group took the supplement for 6 months. Photos of the top of the head were taken of all the women at the beginning of the study and 6 months later at the end of the study. The two photos of each woman were evaluated by an independent expert who visually determined the change in hair density. The expert who determined the change in hair density did not know which of the women had taken the supplement. Answer the following seven questions for the described experiment. (Hint: Reviewing Examples 1.6 and 1.7 might be helpful.) 1\. What question is the experiment trying to answer? 2\. What are the experimental conditions (treatments) for this experiment? 3\. What is the response variable? 4\. What are the experimental units and how were they selected? 5\. Does the design incorporate random assignment of experimental units to the different experimental conditions? If not, are there potentially confounding variables that would make it difficult to draw conclusions based on data from the experiment? 6\. Does the experiment incorporate a control group and/ or a placebo group? If not, would the experiment be improved by including one or both of these? 7\. Does the experiment involve blinding? If not, would the experiment be improved by making it single- or double-blind?

Can moving their hands help children learn math? This is the question investigated by the authors of the paper "Gesturing Gives Children New Ideas about Math" (Psychological Science [2009]: 267-272). An experiment was conducted to compare two different methods for teaching children how to solve math problems of the form \(3+2+8=\underline{ }+8\). One method involved having students point to the \(3+2\) on the left side of the equal sign with one hand and then point to the blank on the right side of the equal sign before filling in the blank to complete the equation. The other method did not involve using these hand gestures. The paper states that the study used children ages 9 and 10 who were given a pretest containing six problems of the type described. Only children who answered all six questions incorrectly became subjects in the experiment. There were a total of 128 subjects. To compare the two methods, the 128 children were assigned at random to the two experimental conditions. Children in one group were taught a method that used hand gestures, and children in the other group were taught a similar strategy that did not involve hand gestures. Each child then took a test with six problems and received a score based on the number correct. From the resulting data, the researchers concluded that the average score for children who used hand gestures was significantly higher than the average score for children who did not use hand gestures. a. Answer the following seven questions for the experiment described above. (Hint: Reviewing Examples 1.6 and 1.7 might be helpful.) 1\. What question is the experiment trying to answer? 2\. What are the experimental conditions (treatments) for this experiment? 3\. What is the response variable? 4\. What are the experimental units and how were they selected? 5\. Does the design incorporate random assignment of experimental units to the different experimental conditions? If not, are there potentially confounding variables that would make it difficult to draw conclusions based on data from the experiment? 6\. Does the experiment incorporate a control group and/ or a placebo group? If not, would the experiment be improved by including them? 7\. Does the experiment involve blinding? If not, would the experiment be improved by making it single-or double-blind? b. Based on the study design, do you think that the conclusions are reasonable?

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