Assignment1 Stats

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Cedar Crest College *

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Statistics

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Apr 3, 2024

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1 Assignment #1 The Health United States series is published by the National Center for Health Statistics each year. This data helps to track trends in health and health care in the United States. - Please download the Data set for the book and using the statistical software of your choice ( I am using Bright Stat.com) download the data for Health United States 2006 table 104. This is the data you will use to complete this activity. This particular Data set lists the number of practicing medical doctors per 10,000 residents for each of the 50 States and the District of Colombia for the years 1975,1985, 1995, 2002,2003,2004 -You should use this data set (if using Bright Stat choose you will have to first upload the data set United States 2006 table 104 then you will go to the icon with three horizontal bars and choose to download from server and then choose the file from there. You will have to go back to the icon with the three bars to get back to the options for analysis. 1. A. Create a Histogram for the following years: 1985, 2002, 2003: Go to The Charts column and Choose Histogram. Begin by choosing the Year you want to analyze (1985) and choose 10 as your minimum interval, leave bin empty and choose the default histogram. Do this again for the year 2002 and 2003. Please provide copies of this with your assignment. B. Describe the Shape, Central Location, and Spread of the data for the three years you analyzed. This data was analyzed using BrightStat (v1.3.1)
2 (1985) Shape: The shape of this histogram is that it is asymmetrical with a positive skew. This is because the tail of the histogram is towards the larger numbers on the number line (Gerstman, 2015) . Kurotsis is not easily judged by the eye therefore, the kurtosis is calculated at 15.25626(Gerstman, 2015) . This histogram is also unimodal-meaning it has one clear peak (Gerstman, 2015) . There are visible outliers noted . Location : Location is the distribution in terms of its center (Gerstman, 2015) . This can be determined by the histogram’s mean, median, and mode (Gerstman, 2015) . The mean of this data set is 17.01176. The median of this data set is 16. The mode of this data set is 14.7 Spread Data spread from 11.1-45.6. The range is 34.5 (45.6-11.1). This data was analyzed using BrightStat (v1.3.1) (2002): Shape : The shape of this histogram is asymmetrical and has a positive skew. This is because the tail of the histogram is towards the larger number on the number line (Gerstman, 2015) . Kurotsis is not easily judged by the eye; therefore, the kurtosis is calculated at 11.01909(Gerstman, 2015) . The histogram is also unimodal, meaning there is one clear peak (Gerstman, 2015) . There are visible outliers noted. Location: Location is the distribution in terms of its center (Gerstman, 2015) . This can be determined by the histogram’s mean, median, and mode (Gerstman, 2015) . The mean of this dataset is 22.24314. The median of this data set is 21.2. The mode of this data set is 23. Spread : Data spreads from 14.8 to 53.9. The range is 39.1(53.9-14.8).
3 This data was analyzed using BrightStat (v1.3.1) Shape : The shape of this histogram is asymmetrical and has a positive skew. This is because the tail of the histogram is towards the larger number on the number line (Gerstman, 2015) . Kurotsis is not easily judged by the eye; therefore, the kurtosis is calculated at 14.69075(Gerstman, 2015) . The histogram is also unimodal, meaning there is one clear peak (Gerstman, 2015) . There are outliers noted. Location : Location is the distribution in terms of its center (Gerstman, 2015) . This can be determined by the histogram’s mean, median, and mode (Gerstman, 2015) . The mean of this data set is 23.48039. The median of this data set is 22.4. The mode of this data set is 22.8. Spread : Data spreads from 15.5-60.2. The range of this data set is 44.7 (60.2-15.2) 2. Is there any possible inference you can draw from this analysis? Were there significant changes in the number of physicians between 1985, to 2002 or between 2002 and 2003?
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4 The number of physicians between 1985 and 2002 increases in the medians and ranges. The median is used here rather than the mean because the data is positively skewed, and the median is relatively resistant to skews and outliers (Gerstman, 2015). The median was 16, and the range was 34.5 in 1985, and the median was 21.2, and the range was 39.1 in 2002. Additionally, there was an increase in physicians practicing from 2002 to 2003. In 2003, the median was 22.4, and the range was 44.7. From this data, it is inferred that there was an increase in physicians yearly from 1985 to 2002 and an increase in physicians yearly from 2002-2003. There is a larger change from 1985 to 2002 than from 2002 to 2003. However, more time has lapsed from 1985 to 2002, which needs to be considered when analyzing this data. 3. Are there any outliers found in the data? Where were they located in the distribution of data? Refer to the data set as it is listed in the data file on your computer or in your text on pages 72 and 73. What perhaps is the inference you could make for the states where the numbers of medical doctors fall below the mean when compared to other states for 1985? Was there any improvement over time? There are outliers in the data. For all three years, 1985, 2002, and 2003, there is a high outlier of more physicians living in Washington, DC. In 1985, for Washington DC, it was 45.6; in 2002, it was 53.9; and in 2003, it was 60.2. The mean in 1985 was 17.01176. Some states with the lowest amount of practicing physicians were Oklahoma, Utah, Wyoming, and Alaska. For example, in 1985, Oklahoma was at 12.8, but also improved over time to 14.8 in 2002 and 15.5 in 2003. Washington, DC, is a city with no rural parts and is very densely populated. In the 1980 census, Washington DC had a population of 683,333 (U.S. Census Bureau, n.d.) . Meanwhile, in the 1980 census, the entire state of Oklahoma had a population of 3,025,290(U.S. Census Bureau, n.d.). I can infer that since Oklahoma is not densely populated like Washington D.C., there are not enough practicing physicians to cover the entire state. Oklahoma and the states mentioned above have mostly rural communities with a more increased risk of a lack of transportation, unemployment and are at risk for not having health insurance ( Oklahoma - 2020 - Iii.b. Overview of the State , 2020) . Wyoming also improved over time, starting in 1985 at 12 and in 2002 at 16.6, and 2003 at 18.1. These increases over time could be related to an overall increase in population. 4. This data is collected in order to track trends. What relevance do you think has for the public and the medical profession? This data is critical to track for the public and medical professionals. I mentioned above how rural states such as Wyoming and Oklahoma have barriers to care because of few physicians that are available in their area. It is essential to be aware of this problem because many Americans must travel far to receive care (if they go at all), have preventable diseases that are left untreated or are uneducated about their health. This data can help identify these underlying issues in these states, bring the help they need, and improve their overall health and lives .
5 References Gerstman, B. B. (2015). Basic biostatistics statistics for public health (Second ed.). Jones & Bartlett Learning. Oklahoma - 2020 - iii.b. overview of the state . (2020). https://mchb.tvisdata.hrsa.gov/Narratives/Overview/7ccb7d02-eda5-4a73-87da- 4cb5f3c3b70b U.S. Census Bureau. (n.d.). Historical population change data (1910-2020) . U.S. Department of Commerce. https://www.census.gov/data/tables/time-series/dec/popchange-data-text.html