Package index • lumen

Package Overview & Interfaces

Package overview and common formula-interface conventions.

lumen-package: lumen: Tests and Distributions for DescToolsX
Formulas: Formula Interface - Common Arguments

Confidence Intervals for Location

Confidence intervals and sample-size calculations for means, medians, and quantiles.

bootCI(): Simple Bootstrap Confidence Intervals
meanCI(): Confidence Intervals for the Mean
meanCIn(): Sample Size for a Given Width of a Confidence Interval for a Mean
meanDiffCI(): Confidence Interval For Difference of Means
medianCI(): Confidence Interval for the Median
quantileCI(): Confidence Interval for Any Quantile
sumCI(): Add Up Partial Confidence Intervals to a Total CI

Confidence Intervals for Proportions, Rates & Dispersion

Confidence intervals for categorical outcomes, rates, correlations, and scale parameters.

binomCI() binomCIn(): Confidence Intervals for Binomial Proportions
binomDiffCI(): Confidence Intervals for the Difference of Two Binomial Proportions
binomRatioCI(): Confidence Intervals for the Ratio of Two Binomial Proportions
multinomCI(): Confidence Intervals for Multinomial Proportions
poissonCI(): Confidence Interval for a Poisson Rate
poissonDiffCI(): Confidence Interval for the Difference Between Two Poisson Rates
poissonRatioCI(): Confidence Interval for the Ratio of Two Poisson Rates
corCI(): Confidence Interval for a Pearson Correlation
madCI() madDiffCI() madRatioCI(): Confidence Intervals for Median Absolute Deviations
varCI(): Confidence Interval for a Variance

Location & Correlation Tests

Parametric, nonparametric, robust, multivariate, and correlation tests.

brunnerMunzelTest(): Brunner-Munzel Test for Comparing Stochastic Dominance Between Two Independent Samples
hotellingsT2Test(): Hotelling's T2 Test for Comparing Multivariate Mean Vectors
moodMedianTest(): Mood's Median Test for Comparing Medians Across Independent Groups
signTest(): Sign Test for Testing a Median or Paired Median Difference
tTestA(): Student's T-Test Based on Sample Statistics for Performing T-Tests From Summary Statistics
vanWaerdenTest(): Van Der Waerden Test for Comparing Group Locations Using Normal Scores
yuenTTest(): Yuen T-Test for Robust Comparison of Trimmed Means
zTest(): Z-Test for Testing Means With Known Population Standard Deviations
corTest(): Fast Correlation Test for Testing Pairwise Correlations in a Matrix

Categorical Data Tests

Tests for proportions, contingency tables, marginal homogeneity, and ordinal trends.

barnardTest(): Barnard's Unconditional Test for Comparing Two Independent Proportions in a 2×2 Table
bhapkarTest(): Bhapkar Marginal Homogeneity Test for Comparing Paired Marginal Distributions Across Multiple Categories
breslowDayTest(): Breslow-Day Test for Comparing Odds Ratios Across Strata
cochranArmitageTest(): Cochran-Armitage Test for Detecting Trends in Proportions Across Ordered Groups
cochranQTest(): Cochran's Q Test for Comparing Matched Binary Responses Across Multiple Conditions
gTest(): G-Test for Likelihood-Ratio Testing of Count Data
lehmacherTest() print(<MHTest>): Lehmacher's Test for Locating Asymmetry in Paired Multicategory Data
mantelTrendTest(): Mantel Linear-by-Linear Association Test for Detecting Linear Association Between Ordinal Variables
stuartMaxwellTest(): Stuart-Maxwell Test for Testing Marginal Homogeneity in Paired Multicategory Data
woolfTest(): Woolf Test for Comparing Odds Ratios Across Stratified 2×2 Tables

Variance & Dispersion Tests

Parametric, robust, and rank-based comparisons of variability.

leveneTest(): Levene's Test for Comparing Variances Across Groups
mosesTest() print(<mosesTestResult>): Moses Test of Extreme Reactions for Comparing Extreme-Value Behaviour Between Two Groups
siegelTukeyTest(): Siegel-Tukey Test for Comparing Dispersion Between Two Independent Groups
varTest(): Variance Test for Testing One Variance or Comparing Two Variances

Normality & Goodness-of-Fit Tests

Tests for normality and distributional goodness of fit.

andersonDarlingTest(): Anderson-Darling Test for Assessing Distributional Fit, Especially in the Tails
cramerVonMisesTest(): Cramer-Von Mises Test for Assessing Deviations From Normality
jarqueBeraTest(): (Robust) Jarque-Bera Test for Assessing Normality From Skewness and Kurtosis
lillieTest(): Lilliefors (Kolmogorov-Smirnov) Test for Assessing Normality With Estimated Parameters
pearsonTest(): Pearson Chi-Square Test for Assessing Normality From Grouped Frequencies
shapiroFranciaTest(): Shapiro-Francia Test for Assessing Normality From Normal Scores

Trend, Randomness & Time Series Tests

Tests for stationarity, trends, serial dependence, and randomness.

adfTest(): Augmented Dickey-Fuller Unit Root Test for Detecting Unit Roots in Time Series
bartelsRankTest(): Bartels Rank Test of Randomness for Detecting Non-Random Order in Continuous Sequences
kpssTest(): Kwiatkowski-Phillips-Schmidt-Shin Test for Assessing Level or Trend Stationarity
runsTest(): Runs Test for Detecting Non-Random Order in Sequences
vonNeumannTest(): Von Neumann's Successive Difference Test for Detecting Serial Dependence in Continuous Sequences
coxStuartTest(): Cox-Stuart Trend Test for Detecting Monotonic Trends in Ordered Data
jonckheereTerpstraTest(): Jonckheere-Terpstra Test for Detecting Ordered Differences Across Independent Groups
pageTest(): (Exact) Page Test for Detecting Ordered Treatment Effects in Blocked Designs

Regression Diagnostics

Tests for heteroscedasticity, autocorrelation, calibration, and model fit.

bpTest(): Breusch-Pagan Test for Detecting Heteroscedasticity in Regression Models
breuschGodfreyTest(): Breusch-Godfrey Test for Detecting Higher-Order Serial Correlation in Regression Residuals
durbinWatsonTest(): Durbin-Watson Test for Detecting First-Order Autocorrelation in Regression Residuals
hosmerLemeshowTest() print(<HosmerLemeshowTest>): Hosmer-Lemeshow Goodness of Fit Test for Assessing Logistic Regression Calibration
leCessieTest() print(<LeCessieTest>): Le Cessie-Van Houwelingen-Copas-Hosmer Global Goodness of Fit Test for Assessing Global Logistic Regression Fit

Multiple Comparisons & Post-Hoc Tests

Parametric and nonparametric multiple-comparison procedures and result helpers.

conoverTest(): Conover's Test for Pairwise Rank Comparisons After a Kruskal–Wallis Test
dscfTest(): Dwass-Steel-Critchlow-Fligner Test for Nonparametric All-Pairs Group Comparisons
dunnettTest(): Dunnett's Test for Comparing Several Treatments With a Common Control
dunnTest(): Dunn's Test for Pairwise Rank Comparisons After a Kruskal–Wallis Test
gamesHowellTest(): Games-Howell Post-Hoc Test for Pairwise Mean Comparisons Under Unequal Variances
nemenyiTest(): Nemenyi Test for Nonparametric All-Pairs Rank Comparisons
postHocTest() print(<PostHocTest>): Post Hoc Tests for Multiple Comparisons Following Anova
scheffeTest(): Scheffé Test for Testing Arbitrary Contrasts Following Anova
steelTest(): Steel Test for Nonparametric Comparisons With a Common Control
plot(<PostHocTest>): Plot Routine for Posthoc Tests Results
print(<rankTest>): Print Method for rankTest Objects
signifDiff() print(<signifDiff>): Significantly Different Levels per Group

Probability Distributions

Distribution functions, moments, order statistics, and random compositions.

distributions-overview: Distribution Functions in lumen
mnorm() mexp() mgamma() mlnorm() mbeta() mchisq() mt() mf() mtri(): Mean and Variance of Continuous Distributions
mbinom() mpois() mgeom() mnbinom() mhyper() mbenford(): Mean and Variance of Discrete Distributions
mgumbel() mrevgumbel() mfrechet() mrevweibull() mgev() mgpd() mgompertz(): Mean and Variance of Extreme Value Distributions
dbenford() pbenford() qbenford() rbenford(): Benford's Distribution
ddirichlet() pdirichlet() rdirichlet() qdirichlet(): Dirichlet Distribution
dgompertz() pgompertz() qgompertz() rgompertz(): Gompertz Distribution
dtri() ptri() qtri() rtri(): Triangular Distribution
dextreme() pextreme() qextreme() rextreme(): Distributions of Maxima and Minima
dfrechet() pfrechet() qfrechet() rfrechet(): Fréchet Distribution
dgev() pgev() qgev() rgev(): Generalized Extreme Value Distribution
dgpd() pgpd() qgpd() rgpd(): Generalized Pareto Distribution
dgumbel() pgumbel() qgumbel() rgumbel(): Gumbel Distribution
dgumbelx() pgumbelx() qgumbelx() rgumbelx(): Maxima of Two Gumbel Distributions
drevgumbel() prevgumbel() qrevgumbel() rrevgumbel() qrevgumbelExp(): Reverse Gumbel Distribution
drevweibull() prevweibull() qrevweibull() rrevweibull() dnweibull() pnweibull() qnweibull() rnweibull(): Reverse Weibull Distribution
dorder() porder() rorder(): Distributions of Order Statistics
pAD() qAD(): Null Distribution of Anderson-Darling Test Statistic
rsum1(): Random proportions summing to 1

Statistical Utilities & Power

Transformations, scoring, repeated-measures corrections, and power calculations.

fisherZ() fisherZInv(): Fisher's z-Transformation
scores(): Compute Scores for Ordinal Contingency Tables
powerChisqTest(): Power Calculations for Power and Sample-Size Calculations for Chi-Square Tests
sphericityEps(): Greenhouse-Geisser And Huynh-Feldt Epsilons