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Merge pull request #110 from gperdrizet/dev
Added row merging for independent and dependent variable columns in t…
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‎site/_data/statistics_tables.yml‎

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@@ -139,86 +139,86 @@ probability_distributions:
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# Hypothesis Testing Table
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hypothesis_tests:
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- situation: "Comparing distributions of categorical variables"
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independent_var: "None"
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dependent_var: "Categorical"
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parametric_test: "Chi-square test"
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nonparametric_test: "Fisher's exact test (for small samples)"
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p_value_interpretation: "Low p-value: Observed distribution differs from expected"
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- situation: "Comparing one sample to a known value"
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independent_var: "None (fixed value)"
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independent_var: "None"
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dependent_var: "Continuous"
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parametric_test: "One-sample T-test / Z-test"
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nonparametric_test: "Wilcoxon signed-rank test"
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p_value_interpretation: "Low p-value: Sample mean significantly differs from known value"
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- situation: "Testing normality of data"
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independent_var: "None"
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dependent_var: "Continuous"
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parametric_test: "Shapiro-Wilk test"
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nonparametric_test: "Kolmogorov-Smirnov test"
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p_value_interpretation: "Low p-value: Data significantly deviates from normal distribution"
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- situation: "Comparing sample distribution to theoretical distribution"
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independent_var: "None"
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dependent_var: "Continuous"
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parametric_test: "N/A"
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nonparametric_test: "Kolmogorov-Smirnov test"
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p_value_interpretation: "Low p-value: Sample distribution differs from theoretical distribution"
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- situation: "Testing independence of two categorical variables"
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independent_var: "Categorical"
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dependent_var: "Categorical"
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parametric_test: "Chi-square test of independence"
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nonparametric_test: "Fisher's exact test"
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p_value_interpretation: "Low p-value: Variables are dependent (not independent)"
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- situation: "Comparing two independent groups"
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independent_var: "Categorical (2 groups)"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "Independent samples T-test / Two-sample Z-test"
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nonparametric_test: "Mann-Whitney U test (Wilcoxon rank-sum test)"
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p_value_interpretation: "Low p-value: Significant difference between the two groups"
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- situation: "Comparing two paired/dependent groups"
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independent_var: "Categorical (2 conditions)"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "Paired T-test"
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nonparametric_test: "Wilcoxon signed-rank test"
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p_value_interpretation: "Low p-value: Significant change between paired observations"
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- situation: "Comparing three or more independent groups"
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independent_var: "Categorical (3+ groups)"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "One-way ANOVA"
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nonparametric_test: "Kruskal-Wallis H test"
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p_value_interpretation: "Low p-value: At least one group differs from the others"
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- situation: "Comparing three or more paired/dependent groups"
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independent_var: "Categorical (3+ conditions)"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "Repeated measures ANOVA"
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nonparametric_test: "Friedman test"
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p_value_interpretation: "Low p-value: Significant differences across repeated measurements"
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- situation: "Testing relationship between two continuous variables"
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independent_var: "Continuous"
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dependent_var: "Continuous"
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parametric_test: "Pearson correlation"
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nonparametric_test: "Spearman rank correlation / Kendall's tau"
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p_value_interpretation: "Low p-value: Significant correlation exists between variables"
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- situation: "Comparing distributions of categorical variables"
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independent_var: "None (comparing to expected)"
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dependent_var: "Categorical"
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parametric_test: "Chi-square test"
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nonparametric_test: "Fisher's exact test (for small samples)"
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p_value_interpretation: "Low p-value: Observed distribution differs from expected"
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- situation: "Testing independence of two categorical variables"
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independent_var: "Categorical"
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dependent_var: "Categorical"
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parametric_test: "Chi-square test of independence"
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nonparametric_test: "Fisher's exact test"
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p_value_interpretation: "Low p-value: Variables are dependent (not independent)"
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- situation: "Comparing variances between two groups"
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independent_var: "Categorical (2 groups)"
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dependent_var: "Continuous (variance)"
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parametric_test: "F-test (Levene's test)"
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nonparametric_test: "Levene's test / Fligner-Killeen test"
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p_value_interpretation: "Low p-value: Variances significantly differ between groups"
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- situation: "Testing effects of two or more factors"
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independent_var: "Categorical (2+ factors)"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "Two-way ANOVA / Factorial ANOVA"
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nonparametric_test: "Scheirer-Ray-Hare test"
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p_value_interpretation: "Low p-value: Significant main effects or interaction effects"
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- situation: "Testing normality of data"
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independent_var: "None (single sample)"
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- situation: "Comparing variances between two groups"
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independent_var: "Categorical"
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dependent_var: "Continuous"
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parametric_test: "Shapiro-Wilk test"
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nonparametric_test: "Kolmogorov-Smirnov test"
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p_value_interpretation: "Low p-value: Data significantly deviates from normal distribution"
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- situation: "Comparing sample distribution to theoretical distribution"
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independent_var: "None (comparing distributions)"
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parametric_test: "F-test (Levene's test)"
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nonparametric_test: "Levene's test / Fligner-Killeen test"
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p_value_interpretation: "Low p-value: Variances significantly differ between groups"
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- situation: "Testing relationship between two continuous variables"
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independent_var: "Continuous"
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dependent_var: "Continuous"
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parametric_test: "N/A"
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nonparametric_test: "Kolmogorov-Smirnov test"
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p_value_interpretation: "Low p-value: Sample distribution differs from theoretical distribution"
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parametric_test: "Pearson correlation"
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nonparametric_test: "Spearman rank correlation / Kendall's tau"
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p_value_interpretation: "Low p-value: Significant correlation exists between variables"

‎site/resource_pages/statistics.md‎

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@@ -246,25 +246,95 @@ Before conducting any statistical test, verify the following assumptions:
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<table>
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<thead>
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<tr>
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<th><strong>Situation</strong></th>
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<th><strong>Independent Variable Type</strong></th>
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<th><strong>Dependent Variable Type</strong></th>
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<th><strong>Situation</strong></th>
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<th><strong>Parametric Test</strong></th>
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<th><strong>Non-Parametric Test</strong></th>
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<th><strong>P-value Interpretation</strong></th>
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</tr>
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</thead>
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<tbody>
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{% for test in site.data.statistics_tables.hypothesis_tests %}
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<tr>
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<td><strong>{{ test.situation }}</strong></td>
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<td>{{ test.independent_var }}</td>
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<td>{{ test.dependent_var }}</td>
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<td>{{ test.parametric_test }}</td>
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<td>{{ test.nonparametric_test }}</td>
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<td>{{ test.p_value_interpretation }}</td>
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</tr>
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{% endfor %}
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<tr>
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<td rowspan="4">None</td>
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<td rowspan="3">Continuous</td>
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<td>Comparing one sample to a known value</td>
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<td>One-sample T-test / Z-test</td>
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<td>Wilcoxon signed-rank test</td>
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<td>Low p-value: Sample mean significantly differs from known value</td>
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</tr>
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<tr>
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<td>Testing normality of data</td>
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<td>Shapiro-Wilk test</td>
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<td>Kolmogorov-Smirnov test</td>
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<td>Low p-value: Data significantly deviates from normal distribution</td>
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</tr>
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<tr>
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<td>Comparing sample distribution to theoretical distribution</td>
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<td>N/A</td>
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<td>Kolmogorov-Smirnov test</td>
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<td>Low p-value: Sample distribution differs from theoretical distribution</td>
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</tr>
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<tr>
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<td>Categorical</td>
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<td>Comparing distributions of categorical variables</td>
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<td>Chi-square test</td>
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<td>Fisher's exact test (for small samples)</td>
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<td>Low p-value: Observed distribution differs from expected</td>
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</tr>
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<tr>
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<td rowspan="7">Categorical</td>
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<td rowspan="6">Continuous</td>
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<td>Comparing two independent groups</td>
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<td>Independent samples T-test / Two-sample Z-test</td>
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<td>Mann-Whitney U test (Wilcoxon rank-sum test)</td>
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<td>Low p-value: Significant difference between the two groups</td>
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</tr>
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<tr>
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<td>Comparing two paired/dependent groups</td>
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<td>Paired T-test</td>
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<td>Wilcoxon signed-rank test</td>
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<td>Low p-value: Significant change between paired observations</td>
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</tr>
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<tr>
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<td>Comparing three or more independent groups</td>
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<td>One-way ANOVA</td>
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<td>Kruskal-Wallis H test</td>
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<td>Low p-value: At least one group differs from the others</td>
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</tr>
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<tr>
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<td>Comparing three or more paired/dependent groups</td>
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<td>Repeated measures ANOVA</td>
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<td>Friedman test</td>
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<td>Low p-value: Significant differences across repeated measurements</td>
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</tr>
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<tr>
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<td>Testing effects of two or more factors</td>
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<td>Two-way ANOVA / Factorial ANOVA</td>
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<td>Scheirer-Ray-Hare test</td>
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<td>Low p-value: Significant main effects or interaction effects</td>
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</tr>
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<tr>
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<td>Comparing variances between two groups</td>
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<td>F-test (Levene's test)</td>
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<td>Levene's test / Fligner-Killeen test</td>
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<td>Low p-value: Variances significantly differ between groups</td>
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</tr>
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<tr>
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<td>Categorical</td>
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<td>Testing independence of two categorical variables</td>
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<td>Chi-square test of independence</td>
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<td>Fisher's exact test</td>
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<td>Low p-value: Variables are dependent (not independent)</td>
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</tr>
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<tr>
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<td rowspan="1">Continuous</td>
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<td rowspan="1">Continuous</td>
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<td>Testing relationship between two continuous variables</td>
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<td>Pearson correlation</td>
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<td>Spearman rank correlation / Kendall's tau</td>
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<td>Low p-value: Significant correlation exists between variables</td>
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</tr>
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</tbody>
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</table>
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