Title | Shivvers Wk1 Assignment BST322 |
---|---|
Course | Intro to Biomedical Statistics |
Institution | National University (US) |
Pages | 11 |
File Size | 415.3 KB |
File Type | |
Total Downloads | 52 |
Total Views | 168 |
Week 1 Assignment...
Week 1 Assignment BST 322
Geoff Shivvers
1. (1 pt) For each of the following (a through d), indicate which is a variable and which is a constant: a. The number of minutes in an hour. C b. Systolic blood pressure. V c. Freezing temperature of water in degrees Kelvin. C d. Ratings of daily anxiety. V 2. (1 pt) For each of the following research questions, identify the independent variable and the dependent variable within each case (a through d): a. Does a person’s age affect psychological adjustment following burn injury? I D b. How do physically handicapped children differ from nonhandicapped children with respect to health concepts? c. Do patients with a family support system in place have lower pain ratings than patients with no family support system in place? D I d. Is the intracranial pressure of comatose patients affected by acupuncture treatments? I D 3. (1 pt) For each of the variables listed below, indicate which is discrete and which is continuous: a. Number of patients in an ICU ward D b. Length of a chin implant C c. Number of hospital beds in a step down facility D d. Tidal volume, measured in mLs, of a patient recovering from surgery C 4. (2 pts) For each of the variables listed below, indicate whether the measure is nominal, ordinal, interval, or ratio: a. Degrees, on the Celsius scale I b. Student’s class rank O c. Ratings of a hospital based on care surveys ranked as “Poor, Fine, Good, Exceptional” O d. Survival 5 years out after surgery (yes/no) N e. Average cholesterol level of a group of control patients in a study R f. Settings of tick exposure for Lyme disease designated as “Woodland, Park, City, Suburb” N g. HDL Cholesterol levels R h. Faculty rank (Clinical Assistant Professor, Associate Professor, Full Professor) O 5. (2 pts) The following data represent the number of times that a sample of residents in nursing homes who were aged 80 or older fell during a 12-month period. 3 4 0 1
3 1 1 3
4 0 1 1
1 3 1 1
1 2 1 0
2 6 1 4
1 1 3 6
1 0 2 9
2 0 1 0
0 1 0 1
Construct a frequency distribution table for this set of data in StatCrunch, showing the absolute frequencies, relative frequencies, and cumulative relative frequencies. Would it be advantageous to group the data before constructing a frequency distribution? Why or why not? Construct a Summary Statistics table in StatCrunch to list the n, mean, mode, Skewness and Kurtosis of the data. Paste your work from StatCrunch into your assignment.
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Week 1 Assignment BST 322
Geoff Shivvers
Frequency table results for Q5-FALLS: Count = 40
Q5FALLS
Frequency
Relative Frequency
Cumulative Relative Frequency
0
8
0.2
0.2
1
17
0.425
0.625
2
4
0.1
0.725
3
5
0.125
0.85
4
3
0.075
0.925
6
2
0.05
0.975
9
1
0.025
1
No, because the frequency table groups it for you
Summary statistics: Column
n Mean Mode Kurtosis
Q5-FALLS 40 1.825
Skewness
1 4.0998108 1.8515846
6. (1 pt) Using information from the frequency distribution in Exercise 5, answer the following: a. What percentage of the nursing home residents had at least 1 fall? 62.5% b. What number of falls was the most frequent in this sample? 1 Fall c. What number of falls was least frequent in this sample? 9 Falls d. What percentage of residents had 2 or fewer falls? 72.5% 7. (1 pts) Draw a graphic of the frequency distribution of the data in Exercise 5 using StatCrunch. Copy and Paste your graphic from StatCrunch into your Word document submission. Describe the shape of the frequency distribution in terms of modality and skewness. Is the number of falls normally distributed?
8. (2 pts) Draw a graphic (bar graph and a pie chart) of the “marital” status of the data set from Week 1’s Discussion question 2 using StatCrunch (the excel file is named “Week 1 Discussion Question 2 Data”). You 2
Week 1 Assignment BST 322
Geoff Shivvers
can also find the file in the “Course Resources” area. Construct a frequency distribution table (showing the absolute frequencies, relative frequencies, and cumulative relative frequencies for marital status). What percentage of the participants are married? Is it meaningful to calculate the cumulative frequency with this data set? Why or why not? Copy and Paste your graphics (including the frequency table) from StatCrunch into your Word document submission.
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Week 1 Assignment BST 322
Geoff Shivvers
Frequency table results for marital: Count = 845 marital
Frequency Relative Frequency Cumulative Frequency
Divorced
152
0.17988166
152
Married
60
0.071005917
212
633
0.74911243
845
Never married
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Week 1 Assignment BST 322
Geoff Shivvers
9. (1 pt) The following set of numbers represent the scores of 30 psychiatric inpatients on a widely used measure of depression. What are the mean, median, and mode for these data?
41 31 27
27 40 39
32 23 26
24 27 34
21 39 48
28 33 38
22 42 29
25 30 36
35 46 24
27 30 37
If the values of the mean, median, and mode are not the same, discuss what this suggests about the shape of the distribution. Construct a Graphic of the distribution of this data using StatCrunch to prove your point. Copy and Paste your graphic from StatCrunch into your Word document submission.
Summary statistics: Column
Mean
Q9-DEPRESSION 32.033333
Median Mode 30.5
27
Skewed is distributed positively 5
Week 1 Assignment BST 322
Geoff Shivvers
10. (1 pt) The following 10 data values are systolic blood pressure readings. Compute the mean, range, standard deviation, Q1, Q3, IQR and variance for these data using StatCrunch. Are there any outliers in this data set? Plot a boxplot to prove your answer. Copy and Paste your work from StatCrunch into your Word document submission.
130 120
125 130
160 130
120 140
170 90
Summary statistics: Column Mean Std. dev. Range Variance Q1 Q3 IQR Q10-SBP 131.5 22.117113
80 489.16667 120 140
20
The outliers are 90, 160, and 170. Those are marked by the purple dots outside the blue boxes
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Week 1 Assignment BST 322
Geoff Shivvers
11. (1 pt) For each blood pressure in Exercise 10 above, compute a Z score. 130 125 160 120 170 120 130 130 140 90
-0.06782078655564133 -0.29389007507444576 1.2885949445571852 -0.5199593635932501 1.740733521594794 -0.5199593635932501 -0.06782078655564133 -0.06782078655564133 0.3843177904819675 -1.8763750947060767
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Week 1 Assignment BST 322
Geoff Shivvers
12. (2 pts) The following data designate whether patients in two groups (experimental and control) complied with a medication regimen. The experimental group participated in an intervention designed to promote perceived mastery over health events: Control group Patient # 1 2 Complie ye n d s o Experimental group Patient # 17 1 8 Complie ye n d s o
3 n o
4 n o
5 ye s
19
20
21
ye s
ye s
ye s
6 ye s
7 n o
2 2 n o
8 n o
9 no
10 no
11 no
12 ye s
13 no
14 no
15 no
23
24
25
26
27
28
29
30
no
no
no
ye s
ye s
ye s
no
ye s
16 ye s
Using StatCrunch, construct a contingency table for these data, computing both row and column percentages, with totals and all labels for each of the four cells and totals. Copy and Paste your StatCrunch table into your Word document submission.
Contingency table results: Rows: Q12-GROUP Columns: Q12-COMPLIANCE Cell format Count (Row percent) (Column percent) Complied Group
no
yes
Total
Control 11 5 16 % within Group (68.75%) (31.25%) (100%) % within Compliance (64.71%) (38.46%) (53.33%) 14 8 6 Experimental (42.86%) (57.14%) (100%) % within Group % within Compliance (35.29%) (61.54%) (46.67%) Total 17 13 % within Group (56.67%) (43.33%) % within Compliance (100%) (100%)
30 (100%) (100%)
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Week 1 Assignment BST 322
Geoff Shivvers
13. (1 pts) Below are the values for diastolic and systolic blood pressure for 10 people: Diastolic: Systolic:
90 80 90 78 76 88 80 70 76 74 130 126 140 118 114 112 120 110 114 136
Using StatCrunch, construct a scatterplot that shows the relationship between the two variables. Copy and Paste your work from StatCrunch into your Word document submission. Verbally describe the direction and magnitude of the relationship.
Positive direction and is moderate 14. (1 pt) Compute the correlation coefficient (Pearson’s r) in StatCrunch to summarize the relationship for the data presented in Exercise 13. How accurate was your description? Correlation between Q13-D and Q13-S is: 0.43811963 this supports the moderate positive direction 15. (2 pts) Below are Global carbon dioxide concentrations and the measured change in Global temperature (Temperature Anomaly) for a period in our recent past: YEAR 1981 1985 1989 1992
CO2 Concentration (ppm) 339.93 343.13 350.17 355.25
Temperature Anomaly (ºC) .043 .098 .211 .368 9
Week 1 Assignment BST 322 1995 1999 2002 2005 2009 2012 2017
Geoff Shivvers 360.15 364.05 372.01 380.14 384.12 399.21 419.12
.410 .566 .625 .714 .885 1.07 1.20
Using StatCrunch, construct a scatterplot that shows the relationship between the two variables (carbon dioxide concentrations and the measured change in Global temperature). Calculate the r value using StatCrunch. Copy and Paste your work from StatCrunch into your Word document submission. Verbally describe the direction and magnitude of the relationship you find. What does this tell you about Global warming?
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Week 1 Assignment BST 322
Geoff Shivvers
Correlation between Q15-CO2 and Q15-TEMP is: 0.98371469 Positive relationship. R value supported by strong positive relationship. Global warming is affecting temperature. Increase of CO2 causes a temp increase
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