Lecture 12 - Statistics And Probabilities Flashcards
the science of epidemiology rests on ______
statistics
ALL of public health relies on _______ to provide and interpret data
statistics
the term “statistics” refers to both…….
-the numbers that describe the health of the populations
-The science that helps to interpret those numbers
the science of statistics is a set of ____ and ____ used to ____ ____ in order to ____ _____
the science of statistics is a set of CONCEPTS and METHODS used to ANALYZE DATA in order to EXTRACT INFORMATION
______ results from epidemiological studies are common
contradictory
What are 2 sources of error?
-Biasing (unintentionally guiding the results in one direction)
-confounding variables (very difficult to control all variables)
Give an example that demonstrates that people sometimes demand certainty about their public health even when science cannot prove it
1997 - mammography screening - NCI said that each woman should make the decision individually with their dr to be screened or not based on medical and family history
-public response was heated
in the end, NCI recommended that women in their 40s be screened —pressure from politicians who were eager to get credit for supporting women’s health led to a misguided sense of SCIENTIFIC CERTAINTY
politics vs science
When there is uncertainty in epidemiology…. _____ may prevail. Why?
politics
politicians pressure scientists to change their opinion (ie: the breast cancer screening)
What is the issue with politicians convincing scientists to change their mind on things?
the public finds it frustrating to hear contradictory information when they’re genuinely concerned about protecting their health
Science always involves _____
uncertainty
How do scientists quantify uncertainty?
by measuring probabilities (requires statistics)
think of “probability” as….
the likelihood that an event of this type will occur based on what has happened in the past
______ said that the _____ is what usually happens. BUT statisticians know that the ______ happens more than most people think
ARISTOTLE said that the PROBABLE is what usually happens. BUT statisticians know that the IMPROBABLE happens more than most people think
What is the P value?
the likelihood that the difference between control and experiment is due to variability.
or the degree of probability or improbability of a certain result in an experiment
the p value expresses the probability that…..
the observed result could have occurred by chance alone
TYPICALLY, a p value of ____ or less is acceptable
0.05
what does a p value of 0.05 mean?
if an experiment were repeated 100 times, the same answer would result 95 of those times, while 5 times would yield a different answer
Give a reason that an acceptably low p value could lead to an erroneous conclusion
-bias
-confounding variables
bias and confounding variables are ____ errors
systemic (innate)
Give an example of a specific case in which the p value was statistically significant (0.001) but the results were erroneus
the study that found a link between pancreatic cancer and coffee drinking.
the conclusion is wrong NOT due to random chance, but because the cancer was caused by smoking rather than coffee drinking
What is the reason that large numbers of cancer treatments could be in clinical use that are not effective?
p value of 0.05 indicates that 5 out of every 100 ineffective treatments would appear to be effective, but may actually represent errors caused purely by chance
The fact that the probable is not always what happens leads to the law of _______
law of small probabilities
What does the Law of Small Probabilities state?
the most improbable things are bound to happen occasionally
Due to the law of small probabilities, a few people with apparently fatal diseases will inexplicably recover and may be convinced that their recovery was the result of……
something that they did, giving rise to a new quack therapy. Because their recovery was merely a random deviation, other patients will not get the same benefit
Another consequence of the law of small probabilities is the phenomenon of….
cancer clusters
Explain how cancer clusters are a consequence of the law of small probabilities
every now and then a community will discover that it is the site of some kind of cancer and everyone will be alarmed
-not the result of an environmental agent, but is the result of chance variation
If a cancer cluster is very large, however…..
it is likely NOT random variation
a large number of cases is said to confer _____ on a study
power
power increases the probability of…..
finding an effect (if there is one)
___ and ____ can be present in even the largest of studies
bias and confounding variables
Studies with low power are likely to produce……
false negative results