Choosing a statistical test Flashcards
Why are statistical/inferential tests used?
- to determine whether a significant difference or correlation exists at the p= 0.05 level which assures that the relationship or difference is significant with a 95% confidence rate leaving 5% due to chance
- also allows us to decide whether we can accept our alternative hypothesis & reject the null hypothesis
What are the three factors used to decide a statistical tests?
- whether a research is looking for a difference or correlation
- in a case of difference, what experimental design is being used
- the level of measurement
What is the first decision that needs to made when choosing a statistical test?
- is the researcher looking for a difference (one tailed or two tailed) between two groups
- or correlation (relationship, association)
What is the second decision that needs to made when choosing a statistical test?
- What is the experimental design
- Matched pairs and repeated measures = related > p’s are the same or similar
- independent groups = unrelated > p’s are different
- choose from unrelated or related
What is the third decision that needs to be made when choosing a statistical test?
- quantitative data divided into different levels of measurement
- nominal, ordinal and interval
Recite table of statistical test
- nominal, ordinal, interval
- chi^2, sign test, chi^2
- Mann-Whitney, Wilcoxon, spearmans Rho
- unrelated t-test, related t-test. pearsons r
What is the mnemonic to remember statistical test table?
Carrots should come mashed with salt under roast potatoes
What are the characteristics of nominal data?
- no natural order
- categorical data
- discrete, item can only appear in one of the categories
- can be subjective
- can be quantitative or qualitative
e.g. sex, eye colour, favourite team
What are the characteristics of ordinal data?
- has a natural order
- difference between values are not meaningful
- subjective
- can be qualitative or quantitative
e.g. rating scale, rank, shoe size, behavioural score
What are the characteristics of interval data?
- has a natural order
- difference between two values is meaningful
- most scientific > objective
- quantitative only
e.g. weight, temperature, time
What statistical test would you need to calculate the degree of freedom (df)?
- Pearson r
- unrelated t-test
- related t-test
- chi^2
How do you calculate the df when using Pearson r?
- N-2
N= no of p’s
How do you calculate the df when using related t-test?
- N-1
N= no of p’s
How do you calculate the df when using unrelated t-test?
- Na + Nb -2
Na= number of p’s in condition A
Nb= number of p’s in condition B
How do you calculate the df when using chi^2?
- (number of rows - 1) x (number of columns -1)