Using one of the data sets from your article from Week 8, and Desmos.com, create 4 histograms on the same graph. The first one with 10 of the values, the second with 20, the third with 30, and the fourth with 40 of the data values, use ‘with replacement’ for each set of data values.

Provide a quality paragraph discussing the shape of the histogram and how it changes. Include the link to your graph in your post.

In your responses, write a quality paragraph telling how the Central Limit Theorem could help you provide better for your patients.

WEEK 8:

Discussion Statistics

Part 1: Find a medical research article that includes 2 quantitative data sets (each with at least 20 data values) used in their research. Provide the data for one of the sets.

Answer

The study tries to model offering vaccination to all those low-risk individuals younger than a given age (but no younger than two years old) and all low-risk individuals older than a given age while maintaining vaccination of at-risk individuals of any age. The data set used contains the threshold vaccine dose prices for the addition of low-risk vaccination programs.

The data values are shown in the below table

Part 2: Test if it is normal. Write a quality paragraph summarizing your findings, include the mean, standard deviation, the IQR, and tell how the data is skewed if it is.

Answer

We are using the first scenario for statistical analysis purposes (as shown in the formatted data). It contains the data for the Standalone young-age-centric program (vaccinate from 2yrs up to age A). There are 50 records in the data set with a mean value of £17.39 and a sample standard deviation of £5.68. The first quartile is £11.95, and the third quartile is £21.94. It indicates that 75% of the sample had a price higher than £11.95, while 25% had a threshold vaccine price higher than £21.94. Thus, the interquartile range is £9.99 (3rd quartile-1st quartile). The skewness of the data set is 0.641, which means it is somewhat positively skewed or skewed to the right. The data cannot be said to be normal due to its positive skewness value.

Part 3: Using Desmos.com also provides the boxplot. Include the reference information for your article and keep a copy of it, you will use this article in later discussions.

Box Plot

Using Desmos the box plot of the dataset is shown in the below figure

Link:

https://www.desmos.com/calculator/ld0mnrhh4xLinks to an external site.

References

Hill E.M., Petrou S., Forster H., Lusignan S., Yonova I., Keeling M.J. (2020). Optimising age coverage of seasonal influenza vaccination in England: A mathematical and health economic evaluation. Plos Computational Biology. doi: 10.1371/journal.pcbi.1008278

Link: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC75673…