57776
Description
Numerical Stat Tests
- 1 group
- 1 sample from a frame and 1 variable
- Parametric
- 1 sample t-test
- Compares means. H₀: μ = μ₁
- example:
- example:
- Compares means. H₀: μ = μ₁
- 1 sample t-test
- Non-Parametric
- Wilcoxon signed ranks test
- ranks
values/differences
ignoring signs. H₀;
Median difference =0
- Example:
- Example:
- ranks
values/differences
ignoring signs. H₀;
Median difference =0
- Wilcoxon signed ranks test
- Parametric
- 1 sample from a frame and 1 variable
- 2 Groups
- Paired
- Parametric
- Paired t-test
- Compare the
mean of the
diferences between
the two
measurements. If
=0 then two groups
the same. H₀; μ of
diffs = 0
- Example: Recruits with
tooth decay at onset
and 1 year later. Or
Case Control study
- Example: Recruits with
tooth decay at onset
and 1 year later. Or
Case Control study
- Compare the
mean of the
diferences between
the two
measurements. If
=0 then two groups
the same. H₀; μ of
diffs = 0
- Paired t-test
- Non-parametric
- Wilcoxon signed ranks test
- Rank the
differences,
ignoring signs.
H₀; differences
between -ve
and +ve =0
- Rank the
differences,
ignoring signs.
H₀; differences
between -ve
and +ve =0
- Wilcoxon signed ranks test
- Parametric
- Independent
- Parametric
- unpaired t-test
- compare means of
the two samples. H₀:
means in both groups
equal
- compare means of
the two samples. H₀:
means in both groups
equal
- unpaired t-test
- Non-Parametric
- Wilcoxon rank sum
test. Mann Whitney
U test
- Sum the ranks in
the two groups and
compare
- Sum the ranks in
the two groups and
compare
- Wilcoxon rank sum
test. Mann Whitney
U test
- Parametric
- Paired
- >2 Groups
- Parametric
- ANOVA
- between group
variance (a) should
equal within group
variance (b) under the
Null. ie
HOMOSCDASTIC
- Therefore H₀: a = b. H₁: a > b
- Based on F -Ratio
- Based on F -Ratio
- Therefore H₀: a = b. H₁: a > b
- between group
variance (a) should
equal within group
variance (b) under the
Null. ie
HOMOSCDASTIC
- ANOVA
- Non-parametric
- Kruskal-Wallis test
- Same as Wilcoxon rank
sum but take into
account sample sizes
- Same as Wilcoxon rank
sum but take into
account sample sizes
- Kruskal-Wallis test
- Parametric
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