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    "power.chisq.gof",
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    "power.exact.twoprops",
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    "power.f.test",
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    "power.t.reg",
    "power.t.regression",
    "power.t.student",
    "power.t.test",
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    "power.z.mediation",
    "power.z.onecor",
    "power.z.oneprop",
    "power.z.poisreg",
    "power.z.poisson",
    "power.z.steiger",
    "power.z.test",
    "power.z.twocor",
    "power.z.twocors",
    "power.z.twocors.steiger",
    "power.z.twoprop",
    "power.z.twoprops",
    "probs.to.h",
    "probs.to.w",
    "pwrss.chisq.gofit",
    "pwrss.f.ancova",
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    "pwrss.f.regression",
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    "pwrss.t.regression",
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    "pwrss.z.logistic",
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    "pwrss.z.med",
    "pwrss.z.mediation",
    "pwrss.z.poisreg",
    "pwrss.z.poisson",
    "pwrss.z.prop",
    "pwrss.z.reg",
    "pwrss.z.regression",
    "q.to.cors",
    "rsq.to.f",
    "z.to.cor"
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      "page": "cor.to.z",
      "title": "Conversion from a correlation to a z-value (Fisher's z-transformation)",
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      ]
    },
    {
      "page": "cors.to.q",
      "title": "Conversion from a correlation Difference to Cohen's q",
      "topics": [
        "cors.to.q"
      ]
    },
    {
      "page": "d.to.cles",
      "title": "Conversion from Cohen's d to Common Language Effect Size",
      "topics": [
        "cles.to.d",
        "d.to.cles"
      ]
    },
    {
      "page": "etasq.to.f",
      "title": "Conversion from Eta-squared to Cohen's f",
      "topics": [
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      ]
    },
    {
      "page": "f.to.etasq",
      "title": "Conversion between Cohen's f and Eta-squared",
      "topics": [
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      ]
    },
    {
      "page": "f.to.rsq",
      "title": "Conversion from Cohen's f to R-squared",
      "topics": [
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      ]
    },
    {
      "page": "factorial.contrasts",
      "title": "Factorial Contrasts",
      "topics": [
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      ]
    },
    {
      "page": "inflate.sample",
      "title": "Inflate Sample Size for Attrition",
      "topics": [
        "inflate.sample"
      ]
    },
    {
      "page": "joint.probs.2x2",
      "title": "Helper function to converts joint probabilities to marginal probabilities for the McNemar test applied to paired binary data.",
      "topics": [
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      ]
    },
    {
      "page": "marginal.probs.2x2",
      "title": "Helper function to converts marginal probabilities to joint probabilities for the McNemar test applied to paired binary data.",
      "topics": [
        "marginal.probs.2x2"
      ]
    },
    {
      "page": "means.to.d",
      "title": "Conversion from Means and Standard Deviations to Cohen's d",
      "topics": [
        "means.to.d"
      ]
    },
    {
      "page": "means.to.etasq",
      "title": "Conversion from Means and Standard Deviations to Cohen's f and Eta-squared",
      "topics": [
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      ]
    },
    {
      "page": "power.binom.test",
      "title": "Power Analysis for the Generic Binomial Test",
      "topics": [
        "power.binom",
        "power.binom.test"
      ]
    },
    {
      "page": "power.chisq.gof",
      "title": "Power Analysis for Chi-square Goodness-of-Fit or Independence Tests",
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        "pwrss.chisq.gofit"
      ]
    },
    {
      "page": "power.chisq.test",
      "title": "Statistical Power for the Generic Chi-Square Test",
      "topics": [
        "power.chisq",
        "power.chisq.test"
      ]
    },
    {
      "page": "power.exact.fisher",
      "title": "Power Analysis for Fisher's Exact Test (Independent Proportions)",
      "topics": [
        "power.exact.fisher",
        "power.exact.twoprops.fisher"
      ]
    },
    {
      "page": "power.exact.mcnemar",
      "title": "Power Analysis for McNemar's Exact Test (Paired Proportions)",
      "topics": [
        "power.exact.mcnemar",
        "power.exact.twoprops.mcnemar"
      ]
    },
    {
      "page": "power.exact.onecor",
      "title": "Power Analysis for One-Sample Correlation (Exact)",
      "topics": [
        "power.exact.onecor"
      ]
    },
    {
      "page": "power.exact.oneprop",
      "title": "Power Analysis for the Test of One Proportion (Exact Method)",
      "topics": [
        "power.exact.oneprop"
      ]
    },
    {
      "page": "power.exact.twoprops",
      "title": "Power Analysis for Testing Difference Between Two Proportions (Exact Method)",
      "topics": [
        "power.exact.twoprop",
        "power.exact.twoprops"
      ]
    },
    {
      "page": "power.f.ancova",
      "title": "Power Analysis for One-, Two-, Three-Way ANOVA/ANCOVA Using Effect Size (F-Test)",
      "topics": [
        "power.f.ancova",
        "pwrss.f.ancova"
      ]
    },
    {
      "page": "power.f.ancova.keppel",
      "title": "Power Analysis for One-Way ANOVA/ANCOVA Using Means and Standard Deviations (F test)",
      "topics": [
        "power.f.ancova.keppel"
      ]
    },
    {
      "page": "power.f.ancova.shieh",
      "title": "Power Analysis for One-, Two-, Three-Way ANCOVA Using Means, Standard Deviations, and (Optionally) Contrasts (F test)",
      "topics": [
        "power.f.ancova.shieh"
      ]
    },
    {
      "page": "power.f.mixed.anova",
      "title": "Power Analysis for Mixed-Effects Analysis of Variance (F-Test)",
      "topics": [
        "power.f.mixed.anova",
        "pwrss.f.rmanova"
      ]
    },
    {
      "page": "power.f.regression",
      "title": "Power Analysis for Linear Regression: R-squared or R-squared Change (F-Test)",
      "topics": [
        "power.f.reg",
        "power.f.regression",
        "pwrss.f.reg",
        "pwrss.f.regression"
      ]
    },
    {
      "page": "power.f.test",
      "title": "Statistical Power for the Generic F-Test",
      "topics": [
        "power.f",
        "power.f.test"
      ]
    },
    {
      "page": "power.lp.test",
      "title": "Statistical Power for the Lambda-Prime Distribution",
      "topics": [
        "power.lp",
        "power.lp.test"
      ]
    },
    {
      "page": "power.np.wilcoxon",
      "title": "Power Analysis for Non-parametric Rank-Based Tests (One-Sample, Independent, and Paired Designs)",
      "topics": [
        "power.np.wilcox",
        "power.np.wilcoxon",
        "pwrss.np.2groups",
        "pwrss.np.2means"
      ]
    },
    {
      "page": "power.t.contrast",
      "title": "Power Analysis for One-, Two-, Three-Way ANCOVA Contrasts and Multiple Comparisons (T-Tests)",
      "topics": [
        "power.t.contrast",
        "pwrss.t.contrast"
      ]
    },
    {
      "page": "power.t.contrasts",
      "title": "Power Analysis for One-, Two-, Three-Way ANCOVA Contrasts and Multiple Comparisons (T-Tests)",
      "topics": [
        "power.t.contrasts",
        "pwrss.t.contrasts"
      ]
    },
    {
      "page": "power.t.regression",
      "title": "Power Analysis for Linear Regression: Single Coefficient (T-Test)",
      "topics": [
        "power.t.reg",
        "power.t.regression",
        "pwrss.t.reg",
        "pwrss.t.regression",
        "pwrss.z.reg",
        "pwrss.z.regression"
      ]
    },
    {
      "page": "power.t.student",
      "title": "Power Analysis for Student's t-Test",
      "topics": [
        "power.t.student",
        "pwrss.t.2means",
        "pwrss.t.mean",
        "pwrss.z.2means",
        "pwrss.z.mean"
      ]
    },
    {
      "page": "power.t.test",
      "title": "Statistical Power for the Generic t-Test",
      "topics": [
        "power.t",
        "power.t.test"
      ]
    },
    {
      "page": "power.t.welch",
      "title": "Power Analysis for Welch's t-Test",
      "topics": [
        "power.t.welch"
      ]
    },
    {
      "page": "power.z.logistic",
      "title": "Power Analysis for Logistic Regression Coefficient (Wald's Z-Test)",
      "topics": [
        "power.z.logistic",
        "power.z.logreg",
        "pwrss.z.logistic",
        "pwrss.z.logreg"
      ]
    },
    {
      "page": "power.z.mediation",
      "title": "Power Analysis for Indirect Effects in a Mediation Model (Z, Joint, and Monte Carlo Tests)",
      "topics": [
        "power.z.med",
        "power.z.mediation",
        "pwrss.z.med",
        "pwrss.z.mediation"
      ]
    },
    {
      "page": "power.z.onecor",
      "title": "Power Analysis for One-Sample Correlation",
      "topics": [
        "power.z.onecor",
        "pwrss.z.cor",
        "pwrss.z.corr"
      ]
    },
    {
      "page": "power.z.oneprop",
      "title": "Power Analysis for the Test of One Proportion (Normal Approximation Method)",
      "topics": [
        "power.z.oneprop",
        "pwrss.z.prop"
      ]
    },
    {
      "page": "power.z.poisson",
      "title": "Power Analysis for Poisson Regression Coefficient (Wald's z Test)",
      "topics": [
        "power.z.poisreg",
        "power.z.poisson",
        "pwrss.z.poisreg",
        "pwrss.z.poisson"
      ]
    },
    {
      "page": "power.z.test",
      "title": "Statistical Power for the Generic z-Test",
      "topics": [
        "power.z",
        "power.z.test"
      ]
    },
    {
      "page": "power.z.twocors",
      "title": "Power Analysis for Independent Correlations",
      "topics": [
        "power.z.twocor",
        "power.z.twocors",
        "pwrss.z.2corr",
        "pwrss.z.2corrs"
      ]
    },
    {
      "page": "power.z.twocors.steiger",
      "title": "Power Analysis for Dependent Correlations (Steiger's Z-Test)",
      "topics": [
        "power.z.steiger",
        "power.z.twocors.steiger"
      ]
    },
    {
      "page": "power.z.twoprops",
      "title": "Power Analysis for Testing Difference Between Two Proportions (Normal Approximation Method)",
      "topics": [
        "power.z.twoprop",
        "power.z.twoprops",
        "pwrss.z.2prop",
        "pwrss.z.2props"
      ]
    },
    {
      "page": "probs.to.h",
      "title": "Conversion from Probability Difference to Cohen's h",
      "topics": [
        "probs.to.h"
      ]
    },
    {
      "page": "probs.to.w",
      "title": "Conversion from Probabilities to Cohen's w",
      "topics": [
        "probs.to.w"
      ]
    },
    {
      "page": "q.to.cors",
      "title": "Conversion from a Cohen's q to a correlation difference",
      "topics": [
        "q.to.cors"
      ]
    },
    {
      "page": "rsq.to.f",
      "title": "Conversion from R-squared to Cohen's f",
      "topics": [
        "rsq.to.f"
      ]
    },
    {
      "page": "z.to.cor",
      "title": "Conversion from a z-value to a correlation (inverse Fisher's z-transformation)",
      "topics": [
        "z.to.cor"
      ]
    }
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      "filename": "examples.html",
      "title": "Practical Power Analysis in R",
      "author": "Metin Bulus & Sebastian Jentschke",
      "engine": "knitr::rmarkdown",
      "headings": [
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        "T-Test",
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        "User-Defined Design",
        "Z-Test",
        "User Defined Design",
        "F-Test",
        "Chi-square Test",
        "Post-Hoc 1",
        "Post-Hoc 2",
        "Binomial Test",
        "User-Defined Designs",
        "Error Plots",
        "Means (T-Test)",
        "Independent Samples T-Test",
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        "Robust Parametric",
        "Non-Parametric",
        "Non-Inferiority",
        "Superiority",
        "Equivalence",
        "Minimum Effect",
        "Paired Samples T-Test",
        "Parametric",
        "Non-parametric",
        "Non-inferiority",
        "One-Sample T-Test",
        "Parametric",
        "Practically Greater",
        "Minimal Effect",
        "Proportions  (Z-Test)",
        "One-Sample",
        "Approximate",
        "Exact (Binomial)",
        "Independent Samples",
        "Exact (Fisher)",
        "Non-inferiority",
        "Superiority Test",
        "Equivalence",
        "Paired Samples",
        "Approximate",
        "Exact (McNemar)",
        "Correlations (Z-Test)",
        "One Common Index",
        "No Common Index",
        "Regression: Linear (F- and T-Test)",
        "Omnibus F-Test",
        "$R^2 > 0$",
        "$R^2$ > Margin",
        "$\\Delta R^2$ > 0",
        "$\\Delta R^2$ > Margin",
        "Single Coefficient (T-Test)",
        "Standardized Input",
        "Unstandardized Input",
        "Regression: Logistic (Wald's Z-Test)",
        "Probability Specification",
        "Odds Ratio Specification",
        "Regression Coefficient",
        "Change Distribution",
        "Regression: Poisson (Wald's Z-Test)",
        "Rate Ratio Specification",
        "Regression: Mediation (Z-Test)",
        "Continuous Predictor",
        "Binary Predictor",
        "Joint and Monte Carlo",
        "Covariate Adjustment",
        "ANOVA (F-Test)",
        "Effect Size as Input",
        "One-way",
        "Two-way",
        "Three-way",
        "Practical Effects",
        "Means and SDs as Input",
        "ANOVA: Mixed-Effects (F-Test)",
        "Group Effect (Between)",
        "Time Effect (Within)",
        "Group x Time Interaction",
        "Adjusted Eta-squared",
        "ANCOVA (F-Test)",
        "Keppel Procedure",
        "Shieh Procedure",
        "Planned Contrasts (T-Test)",
        "Dummy Coding",
        "Helmert Coding",
        "Polynomial Coding",
        "Custom Contrasts",
        "Independence (Chi-square Test)",
        "Vector of k Cells",
        "Contingency Table: 2 x 2",
        "Contingency Table: j x k"
      ],
      "created": "2025-09-20 16:38:03",
      "modified": "2026-07-10 10:01:50",
      "commits": 12
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