Health Statistics Module 1 Case ✓ Solved
Health Statistics Module 1 Case 1 Health Statistics Module 1 Case Module 1 Case October 11, 2017 Part 1: Variables 1. A researcher studying life categorizes individuals into single, married, divorced, or widowed. What type of variable measurement is this? The researcher is considering the nominal measurement since there is no intrinsic order. These variables are only classified into for groups without referring to any other information.
In addition, nominal variables have no numeric value; therefore, they cannot be quantified. 2.A cognitive scientist places her subjects into categories based on how anxious they tell her that they are feeling: “not anxiousâ€, “mildly anxiousâ€, â€moderately anxiousâ€, and “severely anxious†and she uses number 0,1,2 and 3 to label categories where lower numbers indicate less anxiety. What type of variable measurement is this? Are the categories mutually exclusive? In this case, the measurement of the variables is ordinal because the assigned values between each category cannot and measured and they are not equal.
Ordinal variables are mutually exclusive because the values cannot be used to calculate the difference but can be used to calculate the mean. The values express an order but the difference between them may not be the same (Cook A., Netuveli, G, &sheik, A., 2004). 2. A physician diagnosis the presence or absence of disease (ie yes or no). What type of measurement is this?
The measurement of the variable (yes or no) is nominal because it has no numerical values and is used to represent two categories. Nominal variables have no quantitative value and they can sometimes be assigned numbers to represent labels within a given category. 4. A person weighing 200lbs. is considered to be twice as heavy as a person weighing 100lbs. in this case, what type of measurement is body weight? The type of variable is an interval/ratio since it represents the difference between 100lbs and 200lbs.
In addition, the scale is measurable and it allows absolute zero. Ratio scales possess all characteristics of an interval, nominal, and the ordinal scales. 5. A nurse takes measurements of body temperature on patients and reports them in units of degree Fahrenheit as part of the study. What type of variable measurement is this?
The temperature is an interval/ratio type of variable since the values can be compared and a mean can be calculated. The nurse can calculate the mean temperature for patients. Interval scales have similar properties to nominal and ordinal scales. 6. Patients rate their experience in the emergency room on a five-point scale from poor to excellent (1=very poor, 2=not very good, 3=neither good nor bad, 4=quite good, and 5=excellent).
What type of variable measurement is this? Is the difference between 1 and 2 necessarily the same as the difference between 3 and 4? Explain briefly. This is an ordinal variable because the data has an order but the difference between 1 and 2 is not the same as the difference between 3 and 4 since the level of satisfaction is not the same Part II: Variables The chosen question is number 6, where a five-point scale is used represent ordinal variable used to rate the level of patients’ satisfaction in the emergency room. The statistician can use the variable to answer the following question “Do the staff respond to patient’s needs within the shortest time possible?†the patients will be provided a questionnaire to respond by filling their level of satisfaction with how the hospital personnel respond to patient’s condition in the emergency room (CDC, 2012).
After the patients fill their response, the statistician will analyze the results to determine the overall response. The information should be represented on a column or bar chart to assist in determining the patients’ level of satisfaction about the emergency room. Part III: The scientists can measure coping by collecting qualitative data from persons with PTSD through participant observation, sampling, qualitative interview, and focus group discussion. Collecting data about the available support services would assist to determine how various individuals with PTSD manage their condition (CDC, 2012). During data collection, all observations will be recorded to assist in measuring the effect of various coping technique from different patients.
The scientist can use the qualitative data to determine the relationship between the effect PSTD on an individual and the coping technique employed. Qualitative techniques are used to collect subjective data where PTSD expresses their personal coping techniques. Qualitative information will also provide the information about various available coping techniques and the most preferred technique. Therefore, the qualitative technique is subjective and the individual’s feelings and opinions on the available coping techniques will be used to measure the relationship between the variables. On the other hand, the scientist can use a quantitative technique to measure coping using data collected from a structured interview, impact on event scale, PTSD symptom scale interview, or a Likert scale.
The quantitative data will be in form of an interval/ratio variable which can be used to determine the relationship between coping and the PSTD condition. The data can be ranked or put into categories to assist the scientist to measure the variable. In quantitative technique, statistical methods will be applied to measure the relationship between coping and the PSTD disorder by computing the mean and the correlation between the variables. The quantitative technique relies on the collected data in numerical to determine the relationship between variables same (Cook A., Netuveli, G, &sheik, A., 2004). Therefore, in this case, the quantitative data will not be subjective in measuring coping among the participants.
References Centers for Disease Control and Prevention(CDC). (2012, May 18). Lesson 4: Displaying Public Health Data . Retrieved from Centers for Disease Control and Prevention: Cook A., Netuveli, G., & Sheikh, A. (2004). Basic skills in statistics: A guide for healthcare professionals . London.
Martian Subtraction! (i) ï‚¥ ï„ (ii) ï‚¥  - ï„ ï‚© -  ï‚¥ (iii) ï‚©  ï‚¥ (iv) ï‚© ï‚ ï‚© -  ï„ ïƒ› - ï‚¥ ï„ (v) ï‚ â–¡ ï„ (vi) ï‚ â–¡ ï„ - ï„ ïƒ› ï‚¥ - ï‚ ï„ â–¡ (vii) ï‚© ï‚¥ ï‚¥ (viii) ï‚¥ â–¡ â–¡ - ï„ ï„ ï„ - ï„ ï‚ ï‚ Macau's magic square stamps just made philately even more nerdy Postage goes meta as new Chinese stamps celebrate an ancient number pattern by themselves appearing in a pattern Old-age mutant number tortoise: Macau stamp displays the origin myth of the magic square. Illustration: Macau Post Alex Bellos Tuesday 4 November .00 EST From The Guardian online downloaded November 7th, 2014 from magic-square-stamps-just-made-philately-even-more-nerdy According to Chinese legend a turtle like the one above crept out of the Yellow River about 4000 years ago.
It looks like it is riddled with spots, or bullet holes. But if you look carefully, the dots on its back represent the digits from 1 to 9 arranged in the following way: If you add the numbers in each row together, they are all equal to 15. For example 4 + 9 + 2 = 15, and so on. If you add the columns, they sum to 15 also. For example, 4 + 3 + 8 = 15.
And yes, you guessed it, the diagonals do too. A grid containing consecutive numbers starting from 1 such that rows, columns and diagonals all add up to the same number is known as a magic square. The 3x3 square on turtle is known in China as the lo shu. Magic squares have long fascinated soothsayers, herpetologists, mystics, architects, soldiers, artists, mathematicians…and now, stamp collectors. Macau, the former Portuguese colony now a part of China, has just issued a set of magic square stamps that, it claims, not only promotes Chinese culture but also creates a “unique product in the history of philately.†Each stamp in the collection features a magic square.
More curiously, the stamps have a monetary value of between 1 to 9 patacas (the Macau currency), and you will be able to buy them in a sheet where the first row has the 4, 9 and 2 pataca stamps, the second has the 3, 5 , 7 pataca stamps and the third has the 8, 1 and 6. In other words, the stamps are themselves arranged in a magic square, which is none other than the lo shu! Meta!!! Amazed no postal service ever thought of this before… In fact there will be ten stamps in the set, including the 12 pataca stamp above with the turtle on it. Scroll down to see how they form the lo shu.
Meanwhile, here’s a quick guide to the images on the stamps, which provides a mini-history of this mathematical curiosity. 4 pataca: Dà¼rer Magic squares can be bigger than three rows and columns. The best known of the 4 x 4 squares was immortalized by German artist Albrecht Dà¼rer in his wood carving Melencolia 1. The magic square appears written in the background, behind a sulky angel. Each row, column and diagonal adds up to 34.
In fact, many more combinations of four numbers add up to 34, such as the outer corners, some of the 2x2 subsquares, and many more. But the geekiest aspect of the Dà¼rer square is that it includes the date of when he thought it up – 1514, which we see on the bottom row. Happy 500th birthday Melencolia 1! Cheer up, little angel! The 4 pataca and the 9 pataca stamps: both the German renaissance and the French enlightenment loved magic squares.
9 pataca: de la Loubère There are many ways to create magic squares. One of the most famous methods is named after Simon de la Loubère, a seventeenth century French diplomat who spent time in what used to be called Siam, now Thailand. The method only works for squares that have an odd number of rows/columns. You start with a 1 halfway along a side, as the stamp shows, and then progress diagonally (NE) with the rule that if you leave the square on the top, you reappear on the bottom, and if you leave the square on the right you reappear on the left. Each free square you reach you must write down the next number up, and if a square is not free, you place the new number on the square below it.
2 pataca – Sator Okay, this isn’t a magic square. But is a square of ancient mystical interest whose power comes from its playful arrangement of letters. It contains the Latin words ï‚· SATOR (sower) ï‚· AREPO (Arepo, probably a proper name) ï‚· TENET (holds) ï‚· OPERA (the works) ï‚· ROTAS (rolling) Which can be read forwards, backwards, downwards and upwards. The meaning is unclear, but suggestions have been made like “The sower Arepo keeps the world rolling.†Several Sator squares have been found in excavations, including one in the ruins of Pompeii. The 2 pataca and the 3 pataca stamps: Ancient Rome and the USA.
3 pataca – Franklin Has there ever been an overachiever like Benjamin Franklin? Thinker, politician, scientist, Founding Father, musician, inventor, statesman, author…and magic square legend! One of his inventions was the ‘broken diagonal’. The 8x8 square in the stamp is not strictly a magic square since the full diagonals do not add up to 260. But the rows, columns and broken diagonals – colour-coded in the stamp – do.
5 pataca – Su Hui Again, not a magic square, but pretty amazing all the same. It is a ‘palindromic poem’ composed by the Chinese poet Su Hui around the fourth century AD. In the full version, the poem is a 29 x 29 square where each position has a single Chinese character. The poem can be read forwards, backwards, upwards and downwards. In fact, there are 2848 different ways to read it.
The stamp contains the 15x15 central section of the full poem. Su Hui is said to have written the poem to her husband who had moved to live far from her, and then married another woman. When the husband read it, he returned to Su Hui. The 5 and 7 pataca stamps: poetry and geometry. 7 pataca – Sallows Lee Sallows, a British recreational mathematician living in the Netherlands, has invented a whole new type of magic square.
In a ‘geomagic square’ the shapes in each row, column and diagonal can be reassembled into the same master shape. The stamp shows a 3x3 geomagic square in the middle, and around the outside are how the constituent parts fit into the master shape, which is a 4x4 square with one unit taken out. The stamps for the 8, 1 and 6 pataca stamps are due to be released next year, and when they are you will be able to buy a set of them that form their own lo shu magic square: The currently most satisfying way to make up 30 patacas. Further reading: I have a more detailed section about magic squares in Alex’s Adventures in Numberland, and I wrote an article about geomagic squares in the Observer. The Zen of Magic Squares by Cliff Pickover Legacy of the Luoshu, Frank Swetz. To buy the stamps: Macau Post
Paper for above instructions
Understanding Types of Variables in Health Statistics: An Examination
Introduction
Health statistics serve to provide insights into various aspects of health care and public health. A key foundation in research design and analysis is understanding the types of variables being measured. This paper will explore different types of variables as presented in a health statistics case, highlighting the significance of categorical measurements—nominal and ordinal—as well as interval/ratio measurements in health-related research.
Part 1: Types of Variable Measurements
1. Nominal Variables:
The researcher categorizes individuals as single, married, divorced, or widowed. This classification falls under nominal measurement. Nominal variables, as Ackley et al. (2008) suggest, do not possess intrinsic order or numeric value. They serve simply to classify data into distinct, non-overlapping groups. Examples in health data include demographic variables such as race, sex, or marital status (Groves et al., 2009).
2. Ordinal Variables:
The cognitive scientist classifies anxiety levels into "not anxious," "mildly anxious," "moderately anxious," and "severely anxious." This classification system represents ordinal measurement because the categories possess a hierarchal order. As Cook et al. (2004) illustrate, while ordinal variables allow for ranking, the differences between categories (e.g., between "mildly anxious" and "moderately anxious") are not uniform, thus it is not appropriate to compute a mean or difference in magnitude between ranks.
3. Nominal Diagnosis:
When a physician diagnoses the presence or absence of a disease (yes or no), the variable is nominal. There is no numerical value in the measurement, only two states of existence for the patient. This binary variable is critical in medical statistics, allowing for the assessment of prevalence rates (Hernán & Robins, 2016).
4. Interval/Ratio Measurements:
A significant example of ratio measurement is body weight in pounds. For instance, weighing 200 lbs is quantitatively twice that of 100 lbs. This indicates the variable possesses a true zero point and can be subjected to various statistical operations, making it a vital measurement in health assessments (Nunnally & Bernstein, 1994).
5. Temperature Measurements:
A nurse reporting body temperature in degrees Fahrenheit utilizes interval/ratio measurement. Captured temperature data can be used to compute averages and study variations in patients' conditions, a common practice in clinical research (Friedman et al., 2007).
6. Patient Experience Ratings:
Patients' emergency room experiences rated on a five-point scale (which has both numerical labels and an ordinal structure) emphasize a variable's ordinal nature. The underlying assumption of equal intervals between points is weak; thus, while it enables ranking, it does not allow for precise calculations of differences (McLeod, 2018).
Part II: Application of Ordinal Measurement
In the case where patients rate their emergency room experiences, the primary research question becomes: “Do the staff respond to patients’ needs within the shortest time possible?” Using an ordinal scale for responses allows researchers to gauge satisfaction (CDC, 2012). Such ratings can be depicted graphically (e.g., bar graphs) to visualize trends in patient experiences. Ordinal data interpretation, however, should involve caution in assuming equal magnitude between scale points.
Part III: Measurements of Coping Strategies in PTSD
Qualitative research methods can be utilized to investigate coping techniques among individuals suffering from PTSD. Data collection through techniques like interviews, focus groups, and observation will yield rich, subjective qualitative insights (Maxwell, 2013). Qualitative analysis will unearth nuances related to the coping strategies adopted by patients, showcasing an individualized aspect of treatment.
Conversely, quantitative methods will apply structured interviews or standardized scales (e.g., Likert scales or the Impact on Event Scale) to assess the relationship quantitatively between coping strategies and PTSD symptoms (Weathers et al., 2013). This bifurcation highlights the complementary nature of qualitative and quantitative methodologies in the health research domain, ultimately leading to a more holistic understanding of patient outcomes.
Conclusion
Understanding variable types is fundamental in health statistics to derive valid conclusions from research. The distinctions between nominal, ordinal, and interval/ratio variables significantly dictate the analysis and interpretation of health data. The findings can drive impactful healthcare policies and personalized patient care strategies. Continued research and comprehensive data collection tailored to these classifications will enhance the field's rigor, ultimately nurturing improved patient outcomes.
References
1. Ackley, B. J., & Ladwig, G. B. (2008). Nursing diagnosis handbook: An evidence-based guide to planning care. St. Louis, MO: Mosby Elsevier.
2. Centers for Disease Control and Prevention (CDC). (2012). Lesson 4: Displaying Public Health Data. Retrieved from https://www.cdc.gov
3. Cook, A., Netuveli, G., & Sheikh, A. (2004). Basic skills in statistics: A guide for healthcare professionals. London: Springer.
4. Friedman, L., Gofman, A., & Efrati, M. (2007). Statistical methods in health sciences. New York: Wiley.
5. Groves, R. M., et al. (2009). Survey Methodology. Hoboken, NJ: Wiley-Interscience.
6. Hernán, M. A., & Robins, J. M. (2016). Causal Inference: What If. Boca Raton: Chapman & Hall/CRC Press.
7. Maxwell, J. A. (2013). Qualitative research design: An interactive approach. Thousand Oaks, CA: SAGE Publications.
8. McLeod, S. A. (2018). Ordinal data. Simply Psychology. Retrieved from https://www.simplypsychology.org
9. Nunnally, J. C., & Bernstein, I. H. (1994). Psychometric theory. New York: McGraw-Hill.
10. Weathers, F. W., et al. (2013). The PTSD Checklist for DSM-5 (PCL-5). Retrieved from https://www.ptsd.va.gov