used for experiments to compare two conditions and see if there is a difference between them. Related data is when the two sets of data are from the same participants (repeated measures or matched pairs), and unrelated data is from two different sets of participants (independent measures).
chi squared
test of difference
nominal data
independent groups
Calculating degrees of freedom (df)= (r-1) x (c-1)
r= number of rows, and c= number of columns
sign test
test of difference
nominal data
repeated measures
spearman's rho
test of correlation/relationship
ordinal data
repeated measures
Pearson's R
correlational
interval data
repeated measures
wilcoxon's
test of difference
ordinal data
repeated measures
Mann Whitney U
test of difference
interval data
independent groups
Unrelated T test
test of difference
interval data
independent groups
Related T test
test of difference
interval data
Repeated measures
sign test
statistical test used to analyse the direction of differences of scores between the same or matched pairs of subjects under two experimental conditions
We use this test when differences predicted between two sets of related data (such as in an experiment). N= number of participants, S= the observed value
how to do sign test
Subtract each value in the control from the experimental condition, recording (+ or -)
Count number of times less frequent sign appears: S
Count the total number of pluses and minuses : N
Use table of critical values, picking one or two tailed as appropriate. The critical value between N and the 0.05 level of significance. S must be less than or equal to the critical value to be significant
State the conclusion (i.e: as the result is significant/not significant we cannot accept the null/alternative hypothesis, therefore we accept the alternative/null hypothesis)
parametric test
Data must be interval level-
The data drawn from a population which would be expected to show normal distribution for variable being measured. Variables that would produce skewed distribution not appropriate for parametric tests.
the set of scores in each condition should have similar dispersion or spread. way of determining variance is by comparing the standard deviations in each condition; if similar, a parametric test may be used. In a related design assumed two groups scores have similar spread.