## Open-source projects are software artifacts, which are developed and maintained by software developers and volunteers. Generally, the source code of these projects is available online and end-users can fr

Questions

1. Open-source projects are software artifacts, which are developed and maintained by software developers and volunteers. Generally, the source code of these projects is available online and end-users can freely use them under the constraints defined on project license type. GitHub is the largest open-source repository with millions of projects. You have been provided with a panel dataset of projects hosted on GitHub. It contains two years (8 quarters) of data for each project. You can investigate how projects change over time by analyzing this dataset.
2. Visualize the growth plots for any random 12 projects. Does Watchers increase over time? Describe the change in Watchers over time based on growth plots.
3. Generate the unconditional means and unconditional growth models and write down the corresponding equations. Discuss the fixed effects of the mode to predict the rate of the change in a number of watchers over time.
4. Whether the intercept (initial number of watchers) and slope (change over time) affected by owner type? Interpret the estimates of fixed effects, variance components and Pseudo R2 statistics.
5. How do issue status and owner types influence the number of watchers? Examine the effect on initial status and rate of change.
6. Discuss the best model to explain the change in number of watchers over time.
7. Visualize the growth plots for first ten students. Does math achievement (test scores) increase over
8. time? If yes, at what rate?
9. Using visualization technique, compare the trend of changes in test results across two categories of effective variable over time. Discuss your finding about the observed pattern.
10. What is your “intercept only” model? Interpret the fixed effect; variance components (within-person variance and between-person variance); and ICC (Intra-class Correlation Coefficient)?
11. Discuss the model to predict student’s math scores from the intercept and time. Interpret the rate of change?
12. Whether the intercept (initial math score) and slope (change over time) are affected by effective teachers? Interpret the estimates of fixed effects; variance components and Pseudo R2 statistics?
13. How do socioeconomic status (characteristics – level 2) and effective teachers (characteristics – level 2) influence student’s math scores?
14. Consider the following case of level-2 sub-models: Initial status is affected by both predictors- socioeconomic status and effective teacher, and slope (rate of change) is affected only by the student’s socioeconomic status. Interpret the estimates of fixed effects; variance components.
15. Is there a change in math achievement over time? What model is the most appropriate to use at the end?

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