Research Methods A2 L9 - 12 (Type I and II errors, testing) Flashcards
Type 1 error:
- Rejected null hypothesis and accepted experimental hypothesis
- However, the results are actually due to chance rather than statistical significance
Type 2 error:
- Rejected experimental hypothesis and accepted null hypothesis
- However, the results are due to statistical significance rather than chance
What are levels of measurement used for?
Categorise data into one of 3 types
What are the 3 types of data?
- Nominal
- Ordinal
- Interval
Nominal data:
- Organised into categories
- Fit in one category only not the other
Ordinal data:
- Can be placed in rank order
- Can consist of measurements eg height
Parametric tests
- More robust and powerful
- Based on actual data collected rather than rank order
- More likely to detect significance
What are the 3 parametric tests?
What 3 factors mean a parametric test can be conducted?
- Level of measurement must be interval
- Data must form a normal distribution
- Data should have similar variance of scores
What are the 4 non-parametric tests?
- Chi Squared
- Spearman’s Rho
- Mann Whitney
- Wilcoxon
What 3 questions should be asked when deciding the test that should be used?
1) Does the research involve a correlation, a test of difference or an association?
2) Which research design is being used?
3) What level of measurement is being used?
Correlation, ordinal:
Spearman’s rho
Correlation, interval:
Pearson’s r
Association:
Chi squared
Test of difference, independent measures, nominal:
Chi squared
Test of difference, independent measures, ordinal:
Mann Whitney U
Test of difference, independent measures, interval:
Unrelated t-test
Test of difference, repeated measures/matched pp, nominal:
Sign test
Test of difference, repeated measures/matched pp, ordinal:
Wilcoxon
Test of difference, repeated measures/matched pp, interval:
Related t-test
Structure to answer whether results are significant or not:
- Not significant/significant
- Because calculated value is greater/less than critical value
- when p = ? And n = ? Under a one/two tailed test
- Therefore, experimental hypothesis should be accepted/rejected and null hypothesis should be rejected/accepted
N:
Number of pps
d:
Difference
Na:
Number of Pps in smaller sample
Nb:
Number of Pps in larger sample
T:
Sum of ranks in smaller sample
Observed value:
Calculated value
Degrees of freedom:
Number of values that are free to vary
Contingency table:
2 way table
How is Wilcoxon calculated (2):
1) Calculate sum of positive ranks
2) Calculate sum of negative ranks
What does (N-1) mean?
Number of Pps minus 1