Exam 13: Experiments and Quasi-Experiments

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Causal effects that depend on the value of an observable variable,say Wi,

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In the case of heterogeneous causal effects,the following is not true:

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For quasi-experiments,

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The following does not represent a threat to internal validity of randomized controlled experiments:

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Experimental effects,such as the Hawthorne effect,

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The following are reasons for studying randomized controlled experiment in an econometrics course,with the exception of

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In a sharp regression discontinuity design,

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One of the major lessons learned in the chapter on experiments and quasi-experiments

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Assume for the moment that the student-teacher ratio effect on test scores was large enough that you would advocate reducing class sizes in elementary schools.In 1996,the State of California reduced class sizes from K-3 to no more than 20 students across all public elementary schools (Class Size Reduction Act)at a cost of approximately $2 billion.In a short essay,discuss why the general equilibrium effects might differ from the results obtained using experiments.

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Threats to internal validity of quasi-experiments include

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Program evaluation

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(Requires Appendix material)Discuss how the differences-in-differences estimator can be extended to multiple time periods.In particular,assume that there are n individuals and T time periods.What do the individual and time effects control for?

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Your textbook gives a graphical example of Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: "t = 1" and "t = 2." The former corresponds to the "before" time period,while the latter represents the "after" period.The assumption is that the policy occurred sometime between the time periods (call this "t = p").Keeping in mind the graphical example of Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: "Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[ Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ] would be zero if the treatment had not occurred,so a nonzero [ Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [ Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. - Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [ Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. - Your textbook gives a graphical example of   ,where outcome is plotted on the vertical axis,and time period appears on the horizontal axis.There are two time periods entered: t = 1 and t = 2. The former corresponds to the before time period,while the latter represents the after period.The assumption is that the policy occurred sometime between the time periods (call this t = p).Keeping in mind the graphical example of   ,carefully read what a reviewer of the Card and Krueger (CK)study of the minimum wage effect on employment in the New Jersey-Pennsylvania study had to say: Two assumptions are implicit throughout the evaluation of the 'natural experiment:' (1)[   ] would be zero if the treatment had not occurred,so a nonzero [   ] indicates the effect of the treatment (that is,nothing else could have caused the difference in the outcomes to change),and (2)… the intervention occurs after we measure the initial outcomes in the two groups.… Three conditions are particularly relevant in interpreting CK's work: (1)[t = 1] must be sufficiently before [t = p] that [the treatment group] did not adjust to the treatment before [t=1] - otherwise [   -   ] will reflect the effect of the treatment; (2)[t = 2] must be sufficiently after [t = p] to allow the treatment's effect to be fully felt;and (3)we must be sure that the same difference [   -   ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change. Use a figure similar to the textbook to explain what this reviewer meant. ] would have been observed at [t = 2] if the treatment had not been imposed,that is,[the control group must be good enough] that there is no need to adjust the differences for factors other than the treatment that might have caused them to change." Use a figure similar to the textbook to explain what this reviewer meant.

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All of the following are reasons for using the differences estimator with additional regressors,with the exception of

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Roughly ten percent of elementary schools in California have a system whereby 4th to 6th graders share a common classroom and a single teacher (multi-age,multi-grade classroom).Suggest an experimental design that would allow you to assess the effect of learning in this environment.Mention some of the threats to internal and external validity and how you would attempt to circumvent these.

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In a quasi-experiment

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Consider the simple population regression model where the treatment is the same for the members of the treatment group,and hence X is a binary variable.Explain why the coefficient on X represents the difference between two means.How is the test for the statistical significance of the coefficient on X related to the test for differences in means between two populations,when their variances are different? Write down the null and alternative hypothesis in each case.

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Assume that data are available on other characteristics of the subjects that are relevant to determining the experimental outcome.Then including these determinants explicitly results in

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Present alternative estimators for causal effects using experimental data when data is available for a single period or for two periods.Discuss their advantages and disadvantages.

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Specify the multiple regression model that contains the difference-in-difference estimator (with additional regressors).Explain the circumstances under which this model is preferable to the simple difference-in-difference estimator.Explain how the W's can be used to test for randomization.How does the interpretation of the W variables change compared to the differences estimator with additional regressors?

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