Math statistical tests Flashcards
What are ways of calculating the average?
Mean, median and mode
What is the mean?
The average of all numbers
How do you calculate the mean?
Add up all numbers and divide by total number of numbers
What is the median?
The middle value of a list of numbers
How do you calculate the median?
List all the numbers in numerical order from smallest to largest
What is the mode?
The value that occurs the most often
What is standard deviation?
A measure of how spread out the data is and how this relates to the mean
What percentage of data is within 1 standard deviation?
68%
What percentage of data is within 2 standard deviations of the mean?
95%
What percentage of data is within 3 standard deviations from the mean?
99.7%
What are the steps of statistical testing?
- Decide which statistical test to use on the data
- Set up a null hypothesis
- Calculate a value using the formula for the statistical test
- Choose the probability value to use
- Compare the calculated value with values on a published value
- Either accept or reject the null hypothesis
- State whether results are significantly different and at what probability
What do all statistical tests start with?
A null hypothesis
What are the 2 types of statistical tests?
Student t-test and spearman’s rank correlation
What are the types of student t-test?
Paired or unpaired
Where does data for a paired t-test come from?
A measurement from a particular group, and then this is repeated on the same group after the factor has changed
What does a paired t-test compare?
The mean of 2 sets of data to see if there has been a significant change
Where does data for an unpaired t-test come from?
Two different groups at the same time in different places
What does an unpaired t-test compare?
The mean values for 2 sets of data to seee if there is a significant difference between the 2 groups
What does data need to be for a t-test?
Normally distributed and sufficient to give a reliable mean
When do you accept the null hypothesis in a t-test?
If it is less than the table value