Statistics Flashcards
Non-parametric examples
Mann-Whitney
Wilcoxon
Chi2
Sign test
Spearman’s rank
Parametric examples?
Unrelated t-test
Related t-test
Pearsons R
Independent / between subject design table
Normally distributed - independent samples t-test
Not normally distributed - Mann whitney
Repeated / within subject design table
Normally distributed - paired samples t-test
Not normally distributed - wilcoxon W
Parametric test - describe the data
Normally distributed
No extreme outliers
Data shouldn’t be correlated
Non-parametric tests - describe the data
- not normally distributed
- data is ordinal (set order/scale)
- small sample
What is central tendency?
Summarisation of a data set with a single number - mean, media, mode
What is a distribution?
A set of data
What is a concept of variance?
Extent to which the data values are spread out from the mean - SD
What is SD related to?
Unsystematic variation
What is unsystematic variation?
It is uncontrolled - due to chance
What is used to test the quality of the experimental result?
Systematic variation / unsystematic variation
What variance is desirable and what variance is undesirable?
Systematic variance is desirable
Unsystematic variance is undesirable - can obscure the systematic variance you are looking for
What is unsystematic variation?
Variation is not due to the effect we are interested in. This could be due to natural individuals differences
What is systematic variation
Variation due to a genuine effect or experimental manipulation
What are normal distributions?
Have similar mean, median and mode and the data is spread symmetrically on both sides - same amount above and below the mean
What produces a normal distribution?
Standardised tests
What do Z scores tell us?
It’s a way of talking about data in germs of number of standard deviations above and below the mean
What do Z scores allow us to assess?
Where an individual falls relative to the population as a whole
How to calculate Z scores?
Your score - mean score / standard deviation
What is the threshold for normally distributed data?
+-1.96
How many people fall into the +-1.96 range?
95%
What does the P value tell us?
The probability that the observed, or more extreme results could have occurred if the statement was true
6 stages of hypothesis testing?
- Set out research hypothesis
- Set out null hypothesis
- Assume null to be true
- Calculate Z scores
- Convert to p value
- If p<.05, reject null
What does sampling distributions tell us?
How the sample means vary - this isn’t a distribution of actual scores but a mean value across many different samples (a distribution of sample scores)
What is population distribution?
Variation measures in standard deviation
How is sampling distribution measured?
Variation measured in standard error
What is sampling distribution of the mean?
Has a smaller SD than the population mean, converges on the true mean
Looks different as N changes (the higher N is, the smaller the SD)
What is the standard deviation of a sampling distribution called?
Standard error
Why is it good to be interested in sampling distribution?
We know the mean will vary, even if you repeatedly sample from the same population
How you do work out T score?
Difference in means / standard error of difference
What is the difference between t statistics and Z scores?
T statistics are comparing 2 groups - 2 sets of variabilities
Whereas Z scores are comparing 1 individual or small group to the whole population
When going from T to P why is it important to know the degrees of freedom?
Need to know this because the shape of the T distribution changes as a function of how many subjects we have in the study
What are independent group at tests also known as?
Unrelated t-tests
Unpaired means t-test
What are paired means t-test also known as?
Related t-tests
Dependent t-tests
What happens if the data is not normally distributed?
Sample mean and standard deviation are no longer representative of the population - parametric test no longer gives accurate p-value
What does it mean if data is positively skewed?
Mean is bigger than the median
The data’s high point falls to the left
What happens if the data is negatively skewed?
Mean is smaller than the median
High point falls to the right (NR)