23. Choosing a statistical test (A2) Flashcards
What is a statistical test?
Used in psychology to determine whether a significant difference or correlation exists, and consequently whether the no hypothesis should be rejected or retained.
What are the eight statistical tests in psychology?
The Chi Squared test The Sign test Mann-Whitney test Wilcoxon test Spearman's Rho Pearson's r Related t-test Unrelated t-test
Which three factors determine which statistical test should be used?
- Whether the data is looking for a difference or correlation
- Whether the experimental design is related or unrelated
- Whether the data is nominal, ordinal or interval
What is the mnemonic to remember the 8 statistical tests in the order they are in the table?
Simon (sign) Cowell (Chi) Wants (Wilcoxon) More (Mann-Whitney) Singers (Spearman’s) Receiving (Related -t) Unanimous (Unrelated-t) Praise (Pearson’s)
What are the categories on the table showing the different statistical tests?
Testing for; difference or association
Design; Related or Unrelated
Data; Nominal, Ordinal, Interval
Which statistical test can be used for both tests of difference and association/correlation?
Chi-Squared test (takes up two columns on the top row)
What is nominal data?
Data represented in the form of categories - discrete data bc an item can only appear in one category
What is ordinal data?
Data that is ordered in some way but without regular intervals - often data from a sliding numerical scale - subjective so not totally reliable
What is interval data?
Data from numerical scales that include units of equal, precisely defined size - more detailed and precise than ordinal which in turn is ‘better’ than nominal
When should the Chi-Squared test be used?
Difference or association; both
Design; unrelated
Data; nominal
When should the Sign test be used?
Difference or association; difference
Design; related
Data; nominal or better
When should the Mann-Whitney test be used?
Difference or association; difference
Design; unrelated
Data; ordinal or better
When should the Wilcoxon test be used?
Difference or association; difference
Design; related
Data; ordinal or better
When should the Spearman’s rho test be used?
Difference or association; association
Design; n/a
Data; ordinal or better
When should the Pearson’s r test be used?
Difference or association; association
Design; n/a
Data; interval
When should the related-t test be used?
Difference or association; difference
Design; related
Data; interval
When should the unrelated-t test be used?
Difference or association; difference
Design; unrelated
Data; interval
What are all of the test on the bottom row of the table known as?
Parametric tests
What are parametric tests?
Tests that are more powerful and robust than the others, they can detect significance in data sets that others cannot
What are the criteria for data to be tested using a parametric test?
- Must be interval level
- Data must be drawn from a population that wld expect to show a normal distribution of the variable being measured
- There shld be homogeneity of variance - the set of scores in each condition shld have a similar dispersion.
What happens if you have data that wld usually require a test from the bottom row but it isn’t suitable for a parametric test?
You shift up one row in the table and use the ordinal test directly above the original test