Numerical Stat Tests

Mind Map by Keith Walker, updated more than 1 year ago
 Created by Keith Walker almost 7 years ago
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Description

Stat Tests Mind Map on Numerical Stat Tests, created by Keith Walker on 04/26/2013.

Resource summary

Numerical Stat Tests
1 1 group
1.1 1 sample from a frame and 1 variable
1.1.1 Parametric
1.1.1.1 1 sample t-test
1.1.1.1.1 Compares means. H₀: μ = μ₁
1.1.1.1.1.1 example:
1.1.2 Non-Parametric
1.1.2.1 Wilcoxon signed ranks test
1.1.2.1.1 ranks values/differences ignoring signs. H₀; Median difference =0
1.1.2.1.1.1 Example:
2 2 Groups
2.1 Paired
2.1.1 Parametric
2.1.1.1 Paired t-test
2.1.1.1.1 Compare the mean of the diferences between the two measurements. If =0 then two groups the same. H₀; μ of diffs = 0
2.1.1.1.1.1 Example: Recruits with tooth decay at onset and 1 year later. Or Case Control study
2.1.2 Non-parametric
2.1.2.1 Wilcoxon signed ranks test
2.1.2.1.1 Rank the differences, ignoring signs. H₀; differences between -ve and +ve =0
2.2 Independent
2.2.1 Parametric
2.2.1.1 unpaired t-test
2.2.1.1.1 compare means of the two samples. H₀: means in both groups equal
2.2.2 Non-Parametric
2.2.2.1 Wilcoxon rank sum test. Mann Whitney U test
2.2.2.1.1 Sum the ranks in the two groups and compare
3 >2 Groups
3.1 Parametric
3.1.1 ANOVA
3.1.1.1 between group variance (a) should equal within group variance (b) under the Null. ie HOMOSCDASTIC
3.1.1.1.1 Therefore H₀: a = b. H₁: a > b
3.1.1.1.1.1 Based on F -Ratio
3.2 Non-parametric
3.2.1 Kruskal-Wallis test
3.2.1.1 Same as Wilcoxon rank sum but take into account sample sizes

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