Midterm 3: Week 11,12,13,14 Flashcards
(123 cards)
Give an example of a Point Estimate Value
An example of a Point Estimate Value is a mean, the parameter this estimates is the real mean; μ (myu)
Define a Point Estimate
A point estimate is a single numerical value that is used to estimate a corresponding population parameter
What are Point Estimates usually accompanied with?
Point Estimates are usually accompanied with other numerical descriptors
Why is it important that Point Estimations are accompanied with other numerical descriptors?
It is important that Point Estimations are accompanied with other numerical descriptors because it allows to see if the Point Estimation is a reasonable approximation
What are the 2 Numerical Descriptors that accompany Point Estimations?
- The strength of an estimation; p-value
2. The possible range of our estimation; confidence interval
What are the 2 tests that we are interested in when we’re looking at the relationship between 2 variables
- Measure of association: how strong the hypothesized association is between 2 variables
- Significance test: how likely the relationship between the 2 variables is due to chance
What does the Null Hypothesis state?
The Null Hypothesis states that there is no difference in the exposed and unexposed groups; there is no association between the 2 variables
What does the Alternate Hypothesis state?
The Alternate Hypothesis states that there is a difference between the exposed and unexposed group; there is an association between the 2 variables
Define a Test Statistic
A value calculated from the data that is used to evaluate the evidence in support of the null hypothesis.
Define a Significance Level
A Significance level is a standardized level of probability that we compare our test statistic to (α-value). If the test statistic is smaller than the significance level, then we reject the null hypothesis.q
What does the P-Value give a measure of?
The P-Value gives a measure of how confident we are about a point estimate
What does it mean to get a P-Value of 0.05?
A P-Value of 0.05 would mean that there is less than a 5% chance that outcome we observed is due to chance; 95% chance that the outcome we observe is not due to chance.
How do we know what an appropriate p-value to use is?
We must look at what the possible gains, losses and circumstances are
Why is it better to have a large sample size?
It is better to have a large sample size because the larger the sample size the more likely it is that the random error of one person will cancel out the random error of another person, meaning there is less net random error
Define a Confidence Interval
A confidence interval is a measure of uncertainty about the true value of a the estimate; we can never be 100% about the true value of a estimate
Is it better to have a wide confidence interval of narrow?
Narrow
What does a Confidence Interval of 1 or greater indicate?
A Confidence Interval of 1 or greater indicates that the cause-effect relationship may not be accurate
Are significance tests always black and white? ie: if a Significance Test shows that there is not a causal relationship, or there is, that is correct?
No, in a very large sample size the test may be very sensitive to differences and mislead the overall relationship and make it loook like there is no relationship when there really is one.
Define Statistical Significance
Statistical Significance is when we mathematically test the outcomes of a study
Clinical Significance
The relevance of research to individuals; builds an understanding of a person
Public Health Significance
The relevance of a research to the population as a whole; the government etc
Define Statistical Power
The ability to show association between 2 variables if it exists
What are 3 ways Random Error can occur?
- Poor Precision
- Sampling Error
- Variability of Measurement
What is Poor Precision?
Not having accurate measurements