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Homework answers / question archive / Analysis #4: Multiple linear and logistic regression, sensitivity and specificity, and statistical control charts (10 points) Background and Objectives We asked young adults at our emergency clinic to complete a short survey at the end of their visit
Analysis #4: Multiple linear and logistic regression, sensitivity and specificity,
and statistical control charts (10 points)
Background and Objectives
We asked young adults at our emergency clinic to complete a short survey at the end of their visit. The survey collected information on a few of their personal characteristics and perceptions: their age, gender, insurance status and also contained a few short screening tools that assessed their fear of doctors, confidence in their provider’s experience, and a diabetes screen. It also inquired about two different outcomes: their satisfaction with their visit and if they would recommend the clinic to a friend. We would like to see if we can find a relationship (predict) between the patient characteristics and their perceptions and if they were satisfied with their visit as well as what variables might be associated (predict an increase likelihood) with them wanting to recommend our clinic to others.
Data from the two sources were compiled into datafile (emersat.ANAL4_F20.xlsx).
In this exercise you will demonstrate your ability to:
1) Conduct multiple linear regression, interpret the output and summarize the findings
2) Interpret logistic regression output and summarize the findings
3) Describe the specificity and sensitivity of a screening tool
4) Prepare a run chart and summarize findings
Assignment
Part A. Multiple Linear Regression
Task: Evaluate if there is a relationship (predict) between the personal characteristics and perceptions and their satisfaction score. Prepare a short description of what was done and what you found. IV=independent variable, DV= dependent variable
Conduct a multiple linear regression to predict satisfaction using all of the personal characteristics and perceptions variables as predictors (if appropriate).
Follow the guide in Module 9 of how to conduct this analysis and include in your description what you did such as the following:
Example of how results may be written for a multiple linear regression:
Multiple regression (OLS) was used to estimate the ability of gender, head circumference and baby’s weight at birth in predicting motor coordination at 2 years of age. Fifteen percent of the variance surrounding motor coordination was explained by gender, head circumference and the birth weight (R2 = 0.154). Overall, the model was statistically significant in predicting motor coordination (F = 3.65, p = 0.031). Weight was not statistically significant in the model (p > 0.05); whereas head circumference was statistically significant (t = 2.68, p = 0.01). For every one cm increase in head circumference, motor coordination scores increased by 0.65 points (beta = 0.65). Males were also found to score higher than females. Males scores were .35 points higher (beta=.35, p=.04).
Part B. Multiple logistic regression
Task: Now we would like to see if we can find a relationship (predict) between satisfaction and some of the personal characteristics and the chance of recommending the clinic to others. Prepare a short description including the following information:
Recommend 0=no/1=yes |
B |
S.E. |
Sig. |
OR |
95% C.I. |
||
Lower |
Upper |
||||||
|
age |
-.182 |
.115 |
.112 |
.834 |
.666 |
1.044 |
female |
1.439 |
.604 |
.017 |
4.218 |
1.292 |
13.767 |
|
insurance |
.293 |
.612 |
.632 |
1.341 |
.404 |
4.447 |
|
confid |
-.113 |
.056 |
.046 |
.894 |
.800 |
.998 |
|
sugar |
.092 |
.074 |
.215 |
1.096 |
.948 |
1.267 |
|
Constant |
1.188 |
4.504 |
.792 |
3.282 |
|
|
Example of how results may be written for a multiple logistic regression:
Logistic multiple regression was used to estimate the ability of gender, head circumference and baby’s weight at birth in predicting if a 2 year old will pass motor coordination test. Weight was not statistically significant in the model (p > 0.05). A significant association was found between gender and passing the motor coordination test. Males were 50% more likely to pass than females (Odds ratio= 1.50, 95% confidence interval= 1.02, 2.66, p=.01)and every one mm increase in head circumference at birth increased the odds of passing the motor coordination test by almost three fold (Odds ratio= 2.75, 95% confidence interval= 1.56, 3.04, p<.001) , controlling for other variables in the model.
Part C. Sensitivity & Specificity
Recall that our survey included a 7 item diabetes screen. We want to assess if the results of these screening questions are valid and accurate by comparing our screening result with a gold standard (blood glucose reading). We identify 10 true positives out of the 23 our screener identified as being positive and 35 true negatives.
|
Gold standard positive |
Gold standard negative |
Total |
Screened positive |
10 |
13 |
23 |
Screened negative |
10 |
35 |
45 |
Total |
20 |
48 |
68 |
Part D. Run Chart
Use the data in HPVvaccine.xls to create a Run Chart to help track an effort to improve the rate of initiation of the HPV vaccination series in an inner city pediatric service. The following briefly describes the context:
Human papilloma virus (HPV) is a sexually transmitted infection with a national prevalence of greater than 70 million. Most infections are among persons 15-24 years of age. The HPV vaccine has been shown to have 100% efficacy for protection against the carcinogenic strains when practitioners administer 2–3 doses before natural exposure. Currently, the Advisory Committee on Immunization Practices recommends routine HPV vaccination at age 11 or 12 years, and vaccinations can be given starting at 9 years old. Despite these recommendations, national vaccination rates remain less than 50%.
The quality improvement plan incorporated several plan-do-study-act interventions: 1) an educational staff in service to improve knowledge about the safety and efficacy of the vaccine, 2) two cycles targeting providers ability to recommend the vaccine strongly and at the ability of the residents to address parental concerns , 3) implementing a standardized script to use when communicating with patients and families about the HPV vaccine, 4) providing parents information about vaccine during triage, and 5) lowered the EMR prompt to remind providers for the need from age 11 to 9. These occurred at staggered time periods. The data file indicates when each intervention was started.
Baseline HPV vaccination rates was determined via chart reviews of random samples of 25 patients per month for April through October 2017. Progress toward their goal was evaluated monthly. Eligible patients were a) children between 9 and 13 years of age presenting for all acute and well child visits, and b) those who had not initiated the HPV vaccine series. The number of eligible patients was highly variable from month to month, ranging from 11 to 65 eligible patients within each month abstracted. They set a goal to increase the percentage of HPV vaccination series initiated in children 9 through 13 years of age to 65% over 7 months of the Plan Do Study Act cycles.
In addition to creating a figure that illustrates the run chart, provide a summary of the context of the analysis and your run chart findings that include answers to the following questions: