Marie_Senatus_Homework4
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Dec 6, 2023
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Exercise 4
I, Marie Senatus________affirm that
I have completed this assignment in accordance with the
Code of Academic Integrity and understand that all work done outside of the Live Sessions is to
be done independently, without collaboration with other students, tutors or referring to past
student exercises from this course. In addition, I understand that this exercise is not to be copied,
shared, or uploaded to any online sites, with or without answers, in whole or in part without
instructor permission.
This exercise is graded out of a total 50 points and is worth 10% pf your final grade. It is due 3
days after LS8. Please answers questions clearly and show your work to facilitate any partial
credit if you have the wrong numbers! Check with your section instructor as to the best format
for submission.
Read each question carefully. After working on it as a group complete your work independently
but you can still reach out to your instructor for clarification and help on any concepts.
Part I: A hypothetical cohort study
You are a dentist interested in studying the time between getting a normal filling in a molar (a
relatively minor procedure) and needing root canal therapy for that molar (a more advanced
procedure).
You enroll a cohort of 100 consecutive individuals from your dental practice who
had a filling placed in one of their molars.
At every 6-month check-up they are counted as still
enrolled in the study or if as withdrawn if they are no longer coming in to this practice. You
count the number of enrolled patients who had to seek root canal therapy in each 6-month
interval after the initial filling – either at your office or with an endodontist (a dentist who
specializes in the procedure) with a referral from your office.
Over 18 months of study, 43
patients obtained a root canal and 26 patients either left your practice or were lost to follow-up.
You begin to construct a life table with your findings:
IN PREP
Interval
No Root
Canals at
Beginning
of
Interval
Root
Canal
During
Interval
Withdrew
During
Interval
Effective
Number
at Risk
Conditional
Probability of
Root Canal
Conditional
Probability
of
“Survival”
(No Root
Canal)
Cumulative
Probability of
“Survival” (No Root
Canal)
Months
1-6
100
16
12
100 –
(1/2)*
12 = 94
16/94=0.17
1-
0.17=0.83
0.83
Months
7-12
100-16-
12=72
15
8
72 –
(1/2)* 8
= 68
15/68=0.22
1-
0.22=0.78
0.78*0.83=0.647
Months
13-18
72-15-
8=49
12
5
49 –
(1/2)* 5
= 46.5
12/46.5=0.2
6
1-0.26=
0.74
0.74*0.647=0.48
0
PubH 6003_U: Principles and Practice of Epidemiology
Exercise 4
a.
Fill in the above table (9 pts)
b.
Based on the life table, what was the probability that a patient had received root canal
therapy within one year of receiving a filling? (3 pts)
IN PREP
P(Root Canal within 1 year)= 1- P(No Root Canal within 1 year) = 1-0.647= 0.353
c.
Among patients who attended their first 6-month checkup after enrolling in the study,
what was the probability that they would need root canal therapy in the next 6 months?
(2pts)
IN PREP
0.22
d.
Among the 100 individuals in your original cohort, what proportion received root canal
therapy? (1pt)
16+15+12= 43/100= 0.43
e.
According to your life table results, What was the cumulative probability
of
root canal
therapy for the entire study period (1 pt)
IN PREP
P(Root Canal for entire study)= 1- P(No Root Canal for entire study) = 1-0.480= 0.52
f.
How can you account for these different “probability” estimates? (3pts)
The life table took into account people who dropped out.
g.
Why does it make sense to count those who withdrew as contributing to the
denominator by ½ during the time period where they were “lost” in this example? (2pts)
We do not know when they were “lost”, so we take an estimate. We assume that all the people
dropped out at the beginning of the study.
h.
Suppose another dental practice performed a similar study at the same time and found
the cumulative probability of root canal therapy following a normal molar filling after 1
year to be
15%. Does risk appear to be associated with the choice of dental practice?
Make a quantitative comparison as part of your answer. (4pts)
P(Root Canal for 1 year)= 1- P(No Root Canal for 1 year) = 1-0.647= 0.353 or 35.3%
RR=15/35.3 = 0.425
Yes, the risk is associated with the choice of dental practice.
PubH 6003_U: Principles and Practice of Epidemiology
Exercise 4
i.
Before you conclude that changes need to be made to one of the practices what else
would you need to know and how would that information help? (name just 1 thing) (2
pts)
We want to know if the baseline population is the same. The age of the populations may
differ.
j.
Suppose you learned that patients in this other practice often found that dentist scary
and left when they thought they might need a root canal. What life table assumption is
being violated
and
what would the impact be on the incidence estimates at this other
dental practice? (3 pts)
The incidence estimate would be too low. It would violate the changes in risk during the study
period. The people who drop out are at a higher risk than the people who stay.
Part II: Hypothetical case control
Instead of investigating the chance of going 18 months without a root canal your practice is only
interested in the chance of having a root canal given various exposures, so you decide to do a
case-control study.
Suppose that for every root canal case from the previous 18 months, 3 controls were selected
and both cases (43) and controls (129) were asked the about various exposures.
a.
Fill in the exposure odds and ORs for all the exposures in the table below (counts in the
table are for those patients who had the exposure). For each OR use the odds of having
the particular exposure in cases compared to controls.
(9 pts)
IN PREP
exposure
Cases (odds)
Controls (odds)
OR
Have gum disease
15
(
15:28)
10
(
10:119
)
7.06
Chew sugarless gum
6 (
6/37
)
20 (
20/109
)
0.88
Floss regularly
10 (
10/33
)
65 (
65/64)
0.298
Taken antibiotics in
previous 6 months
5 (
5/38
)
35 (
35/94
)
0.353
Overweight/obese
20 (
20/23
)
38 (
38/91
)
2.08
Recent viral infection
17 (
17/26)
51 (
51/78
)
2.43
b.
Which of these exposures appear protective and which appear harmful? (3 pts)
PubH 6003_U: Principles and Practice of Epidemiology
Exercise 4
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Chew sugarless gum, floss regularly, and taken antibiotics in previous 6 months appear to be
protective exposure. While have gum disease, overweight/obese, and recent viral infection
appears to be a harmful exposure.
c.
What doesn’t appear to have any association? (1pt)
There no exposure in that list that appears to have no association.
d.
If the controls are a random selection of anyone who did not have a filling in a molar vs.
those who did, how might that impact the ORs?
(2pts)
If there are other factors related to not having fillings in molars that are also associated
with the outcome, this could introduce bias or confounding. It might falsely elevate or
diminish the association between fillings and the outcome.
e.
If ALL participants were patients who also had a molar filling is the OR a good estimate
of the RR? Why or why not? (2 pts)
The OR is not the same as the relative risk but it is similar when the case is rare.
f.
Discuss both 1 strength and 1 weakness of using a case-control here (assume they used
anyone with a root canal in this practice the last 18 month as cases and any patient from
this practice who did not as controls and controls are the same ages as cases) (3 pts)
Root canals might be relatively rare events, and a case-control study allows for the focused
identification of cases and controls within a confined sample, making it easier to study and
analyze these infrequent occurrences. However, there's also a weakness associated with this
study design: Using patients from the same practice might introduce selection bias and limit the
generalizability of the findings. Patients in the same practice may share similar socioeconomic
backgrounds, access to dental care, or other factors that could affect the results. This could limit
the ability to generalize findings to a broader population with different demographics or
healthcare settings.
PubH 6003_U: Principles and Practice of Epidemiology
Exercise 4