Session 3 Flashcards
What is the purpose of statistics?
The generalise and make inferences about a population.
What are population statistics?
All possible observations of an experimental/variable study. This is the population we are primarily interested in.
What are sample statistics?
A selection of observations taken from the population. Sample not really of interest – we want to generalise to the population.
What are the two types of error that can occur in a study that may influence the results?
Chance - it is random error due to sampling variation and is reduced by increasing the sample size.
Bias - systematic error that is quantified by the difference between the true and expected results. It is not influenced by sample size.
What is an observed value?
It is the best estimate of the true or underlying value.
How can the observed value differ from the true value?
Due to random variation.
What is a hypothesis?
A statement that an underlying truth of scientific interest takes a particular quantitative value.
What is the p-value?
The probability of getting an observation, assuming that the hypothesis is true.
What is the agreed P-value and what does it mean if the obtained value is less than this value?
0.05 or 5%.
If there is less than 5% probability, then it is unlikely that the hypothesis is true, and so there is sufficient evidence to reject the hypothesis.
If the P-value is 0.05 or greater what does this mean?
It means that there is a possibility that the hypothesis is true - there is not enough evidence to reject the hypothesis.
It does not mean that the hypothesis has been proven.
What are the limitations of hypothesis testing?
Statistical significance does not mean that something is clinically significant.
There is very little difference between 0.049 and 0.051 but determines whether something has been rejected.
It is dependent on sample size - a small sample size may not be statistically significant.
Why is there statistical variation?
Almost all observed quantities in medical science are subject to variation by chance.
What is a 95% confidence interval?
The range within which we can be 95% certain that the true value of the underlying truth really lies.
The range is centred on the observed value because it is always our ‘best guess’ at the true underlying value.
What happens to the confidence interval as the sample size changes?
As the sample size increases, there is a decrease in confidence interval. This means we are confident that the true value lies within a smaller range as there is less random variation.
What is a statistical significant value?
Where a P-value is less than 0.05. This means that it lies outside the confidence interval.
If the P-value is greater than 0.05 then it lies within the confidence interval.