Maths Flashcards
Chi-Squared
USED FOR NOMINAL INDEPENDENT GROUPS DESIGN
Test of difference
This is done for every number of data
EXPECTED FREQUENCY = (Row Total X Column Total) / Sum of row total + Column total
Degrees of Freedom = (Number of Rows - 1) (Number of Columns - 1)
Add all calculated values together to get Official Calculated Value
Mann-Whitney U
USE FOR ORDINAL (in order) INDEPENDENT GROUPS DESIGN
Rank ALL of data collectively, if same number add together ranks and find mean.
Ra = Added ranks of condition A Rb = added ranks of condition B
Na = Number of scores in condition A Nb = Number of scores in condition B
Spearman’s Rho
USE WHEN THERE IS A TEST OF CORRELATION OF 2 INDEPENDENT VARIABLES
Rank data of each group SEPERATELY.
Add a ‘d’ column & ‘d^2’ column
Find ‘d’ (difference) by subtracting Rank 1 from Rank 2
Find d^2
Find Sum of d^2
N = Number of ppts.
Wilcoxon
USE WHEN TEST OF DIFFERENCE FOR MATCHED PAIRS OR REPEATED MEASURES
Find difference between score on 1 condition with its matched score on other condition
Rank all differences from smallest. Leave out 0s. Treat positives and negatives as the same.
What test to use
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N C
C S
I M
R W
Nominal = Chi- Square
Correlations = Spearmans Rho
Independent Groups = Mann-Whitney
Repeated Measures = Wilcoxon
Significance
0.05 (5%) is what we use for everything other than medical, which is 0.01 (1%)
Type 1 & Type 2 errors
False-positive (TYPE 1 ERROR), saying something is there that isn’t e.g. accepting the alternate hypothesis when the null is correct
False-negative (TYPE 2 ERROR), saying there is nothing there when there is e.g. Accepting null hypothesis when the alternate is correct