Reference no: EM132303212
Statistical Data Analysis Assignment -
In this assignment, you will apply your learning to further analyse the 2013-2014 emergency department (ED) demands at Perth and its connection with weather events. This activity builds on Assignment 1; you may want to review your assignment 1 solution and identify any reusable code. Please start early so that you can identify any skill/knowledge gap and seek support from the teaching staff and other students.
This assignment contains two optional tasks (Task 3.2 and 4.3). You should complete the prescribed tasks before attempting the optional ones.
Application scenario -
You work in a data science team that tries to model the ED demands in the Perth area to improve the demand prediction.
For your convenience, you are provided with the following data links, but you are encouraged to include other relevant data for your analyses.
1. The emergency departments admissions and attendances data set provided by the Department of Health of Western Australia.
2. The daily temperature and precipitation data for the region accessible through the NOAA data APIs.
Of particular relevance is the "Global Historical Climatology Network - Daily" data.
Task 1: Source weather data
From Assignment 1, you have processed data for the ED demands. We still need to find local weather data from the same period. You are encouraged to find weather data online. Besides the NOAA data, you may also use data from the Bureau of Meteorology historical weather observations and statistics. (The NOAA Climate Data might be easier to process.)
Answer the following questions:
1. Which data source do you plan to use? Justify your decision.
2. From the data source identified, download daily temperature and precipitation data for the region during the relevant time period.
3. Answer the following questions:
- How many rows are in the data?
- What time period does the data cover?
Task 2: Model planning
Careful planning is essential for a successful modelling effort. Please answer the following planning questions.
1. How will the final model be used? How will it be relevant to the overcrowding problems at our EDs? Who are the potential users of your model?
2. What relationship do you plan to model or what do you want to predict? What is the response variable? What are the predictor variables? Will the variables in your model be routinely collected and made available soon enough for prediction?
3. As you are likely to build your model on historical data, will the data in the future have similar characteristics?
4. What statistical method(s) will be applied to generate the model? Why?
Task 3: Model the ED demands
We will start with simple models and gradually improve them. We will focus on the ED demand variable(s) that you defined in Assignment 1. Let's denote it Y.
Task 3.1: Models for a single facility
Randomly pick a hospital from the ED dataset.
1. Which hospital do you pick?
2. Fit a linear model for Y using date as the predictor variable. Plot the fitted values and the residuals. Assess the model fit. Is a linear function sufficient for modelling the trend of Y? Support your conclusion with plots.
3. As we are not interested in the trend itself, relax the linearity assumption by fitting a generalised additive model (GAM). Assess the model fit. Do you see patterns in the residuals indicating insufficient model fit?
4. Augment the model to incorporate the weekly seasonality. Compare the models using the Akaike information criterion (AIC). Report the best-fitted model through coefficient estimates and/or plots.
5. Analyse the residuals. Do you see any remaining correlation patterns among the residuals?
6. Is your day-of-the-week variable numeric, ordinal, or categorical? Does the decision affect the model fit?
(Optional task) Task 3.2: Models for all hospitals
Now fit a GAM for each hospital.
1. Use the map function to rerun your Task 2.1 code on all nine Perth hospitals.
2. Plot the trends and residuals. What patterns do you see? Given what you found in Assignment 1, do you gain any new understanding of the ED demands?
Task 4: Heatwaves and ED demands
The connection between heatwaves and the ED demands is widely reported, as in this news article.
In this task, you will try to measure the heatwave and assess its impact on the ED demands.
Task 4.1: Measuring heatwave
1. John Nairn and Robert Fawcett from the Australian Bureau of Meteorology have proposed a measure for the heatwave, called the excess heat factor (EHF). Read the following article to understand the definition of the EHF.
2. Use the NOAA data to calculate the daily EHF values for the Perth area during the relevant time period. Plot the daily EHF values.
Task 4.2: Models with EHF
Use the EHF as an additional predictor to augment the model(s) that you fitted before. Report the estimated effect of the EHF on the ED demand. Does the extra predictor improve the model fit? What conclusions can you draw?
(Optional task) Task 4.3: Extra weather features
Can you think of extra weather features that may be more predictive of ED demands? Try incorporating your feature into the model and see if it improves the model fit.
Task 5: Reflection
Answer the following questions:
1. We used some historical data to fit regression models. What are the limitations of such data, if any?
2. Regression models can be used for 1) understanding a process, or 2) making predictions. In this assignment, do we have reasons to choose one objective over the other? How would the decision affect our models?
3. Overall, have your analyses answered the questions that you set out to answer?
What to submit - Submit the following files
1. An MS Word or PDF file containing your answers to all the assignment questions.
2. An R Notebook file Assignment2_submission.Rmd containing all your code. The file should be able to run. Include sufficient comments so that the script can be understood by your marker. Indicate all the packages that need to be installed separately.
Attachment:- Assignment Files.rar