Macroeconomics 1st Edition Solutions Manual by Acemoglu


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Chapter 2
Economic Methods and Economic Questions

Questions

1.      What does it mean to say that economists use the scientific method? How do economists distinguish between models that work and those that don’t?
Answer: The scientific method is the name for the ongoing process that economists and other scientists use to develop models of the world, test those models with data and evaluate how well they predict or describe behavior. While this process may not reveal the ‘true’ model of the world, it does help in identifying models that are useful in understanding the world.
In order to decide whether models make accurate predictions or not, economists test them against real-world data. Data are facts, measurements, or statistics that describe the world. This process of testing models against data is called empiricism.
2.      What is meant by empiricism? How do empiricists use hypotheses?
Answer: Empirical evidence is a set of facts established by observation and measurement, which are used to evaluate a model. Empiricism refers to the practice of using data to test economic models. When conducting empirical analysis, economists refer to a model’s predictions as hypotheses. Hypotheses are predictions (typically generated by a model) that can be tested with data.
3.      What are two important properties of economic models? Models are often simplified descriptions of a real-world phenomenon.  Does this mean that they are unrealistic?
Answer: A good economic model has two important properties. First, it is an approximation. The model predicts what would happen on average. Second, it makes predictions that can be tested with data.
A model is a simplified description, or representation, of reality. Because models are simplified, they are not perfect replicas of reality. However, this does not mean that they are unrealistic. Models are usually simplified in order to be able to isolate the relationship between two variables. Even if a model is based on simplified assumptions, it may still help us make good predictions and plan for the future.
4.      How is the mean calculated from a series of observations? Suppose 5,000 people bought popsicles on a hot summer day. If the mean of the average number of popsicles that each person bought is 2, how many popsicles were sold that day?
Answer: The mean is the average value of a set of observations. It is calculated as the sum of all the different items divided by the number of items.
The average value is the sum of all popsicles sold divided by the number of people who bought them. If each of the 5,000 people bought an average of 2 popsicles, that means that 10,000 popsicles were sold that day.
5.      How does the sample size affect the validity of an empirical argument? When is it acceptable to use only one example to disprove a statement?
Answer: The size of the sample used to test the argument can affect the results. A small sample may bias the results of a study. A key strength of economic analysis is the amount of data used. Using a large number of observations strengthens the force of an empirical argument. For example, if you collect information on consumption from 20,000 people as opposed to 20 people, you are likely to get a more representative result. A single example can be used to contradict a statement. For example, a single black swan can disprove the statement that all swans are white.
6.      Explain why correlation does not always imply causation. Does causation always imply positive correlation? Explain your answer.
Answer: Correlation means that there is a relationship between two variables; as one variable changes, another variable changes. Causation occurs when one variable directly affects another through a cause-and-effect relationship. Correlation suggests that there is some kind of connection, but not necessarily a cause and an effect. For example, the number of storks in a region might be correlated with the number of babies born in the region. But this doesn’t mean that storks bring babies.
Positive correlation implies that two variables tend to move in the same direction. However, causation need not only imply positive correlation. For example, an increase in the price of bacon may cause people to buy smaller amounts of bacon. In this example, the price of bacon and the quantity of bacon purchased will show a negative correlation.
7.      Give an example of a pair of variables that have a positive correlation, a pair of variables that have a negative correlation, and a pair of variables that have zero correlation.
Answer: A person’s IQ and his or her telephone number are likely to show zero correlation. The number of winter coats sold and the temperature outside are likely to show a negative correlation. The quantity of fertilizers used and crop yield (e.g., the number of bushels of wheat grown per acre) are likely to have a positive correlation.
8.      What is meant by randomization? How does randomization affect the results of an experiment?
Answer: Randomization is the assignment of subjects by chance, rather than by choice, to a test group or control group. Assigning participants randomly will ensure that the result of the experiment is not biased. For example, suppose students with poor scores are assigned to one type of teaching method and students with good scores are assigned to another type of teaching method. It will be difficult to decide which teaching method is more effective as the students with the higher scores are likely to do better than the students with the poorer scores, irrespective of the teaching method used.
9.      This chapter discussed natural and randomized experiments. How does a natural experiment differ from a randomized one? Which one is likely to yield more accurate results?
Answer: A natural experiment is an empirical study in which some process – out of the control of the experimenter – has assigned subjects to control and test groups in a random or nearly random way. The process of randomization involves the assignment of subjects by chance, rather than by choice, to a test group or control group. The test group and the control group are treated identically, except along a single dimension that is intentionally varied across the two groups. The impact of this variation is the focus of the experiment. Both types of experiments can yield accurate results. Natural experiments are likely to be used when there are budget or time constraints to conducting a randomized experiment.
10.  Suppose you had to find the effect of seatbelt rules on road accident fatalities. Would you choose to run a randomized experiment or would it make sense to use natural experiments here? Explain.
Answer: It would be difficult (and, in many people’s view, unethical) to conduct a randomized experiment. Instead, the study should use a natural experiment. You can study data on the causes of road accident fatalities in cities where seatbelt rules were not enforced, or in cities that have recently adopted new, more stringent seat belt laws. Controlling for other factors like an increase in the number of cars, etc., you can then look at similar data when seatbelt rules have been implemented.