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Nonparametric methods that test for differences between groups are the
same as Parametric Tests except that they use the Median instead of the
Mean in their calculations.
Here are the non-parametric tests with their parametric analogues
Non-Parametric Parametric
One-Sample Wilcoxon Test Single-Sample t
Mann Whitney U Test Independent Samples t-test
Matched Paired Wilcoxon Test Paired Samples t-test
Kruskal Wallis One-way ANOVA
Friedman Test Repeated Measures ANOVA
Comparing Non-Parametric Tests that Differentiate Between Groups
Sample 1 Sample 2
Sample 1 – Time 1 compared with Sample 1 – Time 2
Sample 1 – Time 1 Sample 1 – Time 2 Sample 1 – Time 3
NEXT
Sample 1 Sample 2compare Sample 3&
Sample 1
compared with
compared with POPULATION
compare &
Z-tests are non-parametric tests used to investigate differences
between proportions or percentages:
Single sample z-test – compares a single sample of proportions
with its supposed population or claim.
Two sample z-test - compares two sample proportions.
Sample -
85% say
yes
Population -
90% say yes
Sample 1 –
84% say yes
Sample 2-
86% say yes
compared with
Comparing Non-Parametric Tests that Differentiate Between Groups

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Quick reminder nonparametric tests

  • 1. Nonparametric methods that test for differences between groups are the same as Parametric Tests except that they use the Median instead of the Mean in their calculations. Here are the non-parametric tests with their parametric analogues Non-Parametric Parametric One-Sample Wilcoxon Test Single-Sample t Mann Whitney U Test Independent Samples t-test Matched Paired Wilcoxon Test Paired Samples t-test Kruskal Wallis One-way ANOVA Friedman Test Repeated Measures ANOVA Comparing Non-Parametric Tests that Differentiate Between Groups Sample 1 Sample 2 Sample 1 – Time 1 compared with Sample 1 – Time 2 Sample 1 – Time 1 Sample 1 – Time 2 Sample 1 – Time 3 NEXT Sample 1 Sample 2compare Sample 3& Sample 1 compared with compared with POPULATION compare &
  • 2. Z-tests are non-parametric tests used to investigate differences between proportions or percentages: Single sample z-test – compares a single sample of proportions with its supposed population or claim. Two sample z-test - compares two sample proportions. Sample - 85% say yes Population - 90% say yes Sample 1 – 84% say yes Sample 2- 86% say yes compared with Comparing Non-Parametric Tests that Differentiate Between Groups