2 key reasons for stastical tests
Help us determine if the results of a study are due to chance or if there is a real, significant effect
Allow us to accept or reject the null hypothesis
3 key criteria for selecting a stastical test
Spearmanβs Rho
Rho
COS - Correlational Ordinal Spearmanβs
Test of: correlation
Used to determine whether relationship between 2 co variables is significant or not
Correlation 0 is no correlation and +1.0 means there would be a perfect positive correlation below 0 is negative correlation
When to Use?
- hypothesis predicts a correlation between 2 co variables
- 2 sets of data are pairs of scores from one person, meaning data is ORDINAL
Pearsonβs r
r
CIP - correlational interval pearsons
Test of: correlation
Used to determine whether the relationship between 2 co variables is significant or not
Each variable must be at interval level of data
When to use?
When hypothesis predicts a correlation between 2 co variables
2 sets of data from one person
INTERVAL level of data
Degrees of freedom for Pearsons r =
Number of pairs of data - 2 (N-2)
Mann Whitney
U
MIDO - Mann Whitney independent difference ordinal
Used when hypothesis predicts a difference between 2 sets of data
2 sets of data are from separate groups ( 2 conditions) independent group design
Data is ORDINAL
Unrelated t test
T (small DF-2)
UNIITED - unrelated interval independent groups t test
Test of difference
Used to determine if there is a significant difference between the means of 2 unrelated groups
(Unrelated meaning participants in each group completely different; independent group design)
Why UtT
Difference between groups
Independent group design
Interval data
Degrees of freedom :
Df = (n1+n2) -2
N1 =. NUmber of participants in group 1
N2 = number of participants in group 2
Wilcoxon Signed Ranks test
WORD - wilcoxon ordinal repeated measures difference
Test of difference, difference between 2 conditions (not a relationship or correlation)
Repeated measures or matched pairs design: same participants in both conditions (RM) or matched pairs when participants matched on a variable and one is assigned to each condition
Ordinal data
Key steps:
Calculate differences
Rank absolute differences
Sum positive and negative ranks
Find the smaller sum (W value)
Compare W to critical value (W must be less than or equal to critical value to be significant )
Related T-Test
DIRRT - difference interval repeated measures related t test
When?
Test of difference
Related design - repeated measures or matched pairs
Interval or ratio data
Degrees of freedom =
Df = N-1
For related t test, calculated t value must be equal to or greater than the critical value to be significant
Chi Square
X (power of 2
CANDI - chi square association nominal difference independent groups
Test of association / difference
Used to determine whether association / difference relationship between 2 categories is significant or not
When to use?
Hypothesis predicts a difference or association between 2 categories
2 sets of data are pair of scores in the form of frequencies from different people
Data are NOMINAL
Remembering statistical tests
Sign = SNoRD
Searmans = COS
pearsons =. CIP
Wilcoxon = WORD
Man Whitney = MIDO
related = DIRRT
unrelated = UNIITED
Chi square = CANDI
Remember the test
SALLY SAYS PERFORM WORK MORE RUC