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Confidence intervals

Confidence intervals for different effect sizes and designs

ci.2x2.mean.bs()
Computes tests and confidence intervals of effects in a 2x2 between-subjects design for means
ci.2x2.mean.mixed()
Computes tests and confidence intervals of effects in a 2x2 mixed design for means
ci.2x2.mean.ws()
Computes tests and confidence intervals of effects in a 2x2 within-subjects design for means
ci.2x2.median.bs()
Computes tests and confidence intervals of effects in a 2x2 between-subjects design for medians
ci.2x2.median.mixed()
Computes confidence intervals in a 2x2 mixed design for medians
ci.2x2.median.ws()
Computes confidence intervals of effects in a 2x2 within-subjects design for medians
ci.2x2.prop.bs()
Computes tests and confidence intervals of effects in a 2x2 between- subjects design for proportions
ci.2x2.prop.mixed()
Computes tests and confidence intervals of effects in a 2x2 mixed design for proportions
ci.2x2.stdmean.bs()
Computes confidence intervals of standardized effects in a 2x2 between-subjects design
ci.2x2.stdmean.mixed()
Computes confidence intervals of standardized effects in a 2x2 mixed design
ci.2x2.stdmean.ws()
Computes confidence intervals of standardized effects in a 2x2 within-subjects design
ci.agree.3rater()
Computes confidence intervals for a 3-rater design with dichotomous ratings
ci.agree()
Confidence interval for a G-index of agreement
ci.agree2()
Confidence interval for G-index difference in a 2-group design
ci.bayes.cor()
Bayesian credible interval for a Pearson or partial correlation with a skeptical prior
ci.bayes.normal()
Bayesian credible interval for a normal prior distribution
ci.bayes.prop()
Bayesian credible interval for a proportion
ci.bayes.spcor()
Bayesian credible interval for a semipartial correlation with a skeptical prior
ci.biphi()
Confidence interval for a biserial-phi correlation
ci.bscor()
Confidence interval for a biserial correlation
ci.cod()
Confidence interval for a coefficient of dispersion
ci.condslope.log()
Confidence intervals for conditional (simple) slopes in a logistic model
ci.condslope()
Confidence intervals for conditional (simple) slopes in a linear model
ci.cor.dep()
Confidence interval for a difference in dependent Pearson correlations
ci.cor()
Confidence interval for a Pearson or partial correlation
ci.cor2.gen()
Confidence interval for a 2-group correlation difference
ci.cor2()
Confidence interval for a 2-group Pearson correlation difference
ci.cqv()
Confidence interval for a coefficient of quartile variation
ci.cramer()
Confidence interval for Cramer's V
ci.cronbach()
Confidence interval for a Cronbach reliability
ci.cronbach2()
Confidence interval for a difference in Cronbach reliabilities in a 2-group design
ci.cv()
Confidence interval for a coefficient of variation
ci.etasqr()
Confidence interval for eta-squared
ci.fisher()
Fisher confidence interval
ci.indirect()
Confidence interval for an indirect effect
ci.kappa()
Confidence interval for two kappa reliability coefficients
ci.lc.gen.bs()
Confidence interval for a linear contrast of parameters in a between-subjects design
ci.lc.glm()
Confidence interval for a linear contrast of general linear model parameters
ci.lc.mean.bs()
Confidence interval for a linear contrast of means in a between-subjects design
ci.lc.median.bs()
Confidence interval for a linear contrast of medians in a between-subjects design
ci.lc.prop.bs()
Confidence interval for a linear contrast of proportions in a between- subjects design
ci.lc.reg()
Confidence interval for a linear contrast of regression coefficients in multiple group regression model
ci.lc.stdmean.bs()
Confidence interval for a standardized linear contrast of means in a between-subjects design
ci.lc.stdmean.ws()
Confidence interval for a standardized linear contrast of means in a within-subjects design
ci.mad()
Confidence interval for a mean absolute deviation
ci.mann()
Confidence interval for a Mann-Whitney parameter
ci.mape()
Confidence interval for a mean absolute prediction error
ci.mean.fpc()
Confidence interval for a mean with a finite population correction
ci.mean.ps()
Confidence interval for a paired-samples mean difference
ci.mean()
Confidence interval for a mean
ci.mean2()
Confidence interval for a 2-group mean difference
ci.median.ps()
Confidence interval for a paired-samples median difference
ci.median()
Confidence interval for a median
ci.median2()
Confidence interval for a 2-group median difference
ci.oddsratio()
Confidence interval for an odds ratio
ci.pairs.mult()
Confidence intervals for pairwise proportion differences of a multinomial variable
ci.pairs.prop.bs()
Bonferroni confidence intervals for all pairwise proportion differences in a between-subjects design
ci.pbcor()
Confidence intervals for point-biserial correlations
ci.phi()
Confidence interval for a phi correlation
ci.poisson()
Confidence interval for a Poisson rate
ci.popsize()
Confidence interval for an unknown population size
ci.prop.fpc()
Confidence interval for a proportion with a finite population correction
ci.prop.inv()
Confidence interval for a proportion using inverse sampling
ci.prop.ps()
Confidence interval for a paired-samples proportion difference
ci.prop()
Confidence intervals for a proportion
ci.prop2.inv()
Confidence interval for a 2-group proportion difference using inverse sampling
ci.prop2()
Confidence interval for a 2-group proportion difference
ci.pv()
Confidence intervals for positive and negative predictive values with retrospective sampling
ci.random.anova()
Confidence intervals for parameters of one-way random effects ANOVA
ci.ratio.cod2()
Confidence interval for a ratio of dispersion coefficients in a 2-group design
ci.ratio.cv2()
Confidence interval for a ratio of coefficients of variation in a 2-group design
ci.ratio.mad.ps()
Confidence interval for a paired-samples MAD ratio
ci.ratio.mad2()
Confidence interval for a 2-group ratio of mean absolute deviations
ci.ratio.mape2()
Confidence interval for a ratio of mean absolute prediction errors in a 2-group design
ci.ratio.mean.ps()
Confidence interval for a paired-samples mean ratio
ci.ratio.mean2()
Confidence interval for a 2-group mean ratio
ci.ratio.median.ps()
Confidence interval for a paired-samples median ratio
ci.ratio.median2()
Confidence interval for a 2-group median ratio
ci.ratio.poisson2()
Confidence interval for a ratio of Poisson rates in a 2-group design
ci.ratio.prop.ps()
Confidence interval for a paired-samples proportion ratio
ci.ratio.prop2()
Confidence interval for a 2-group proportion ratio
ci.ratio.sd2()
Confidence interval for a 2-group ratio of standard deviations
ci.rel2()
Confidence interval for a 2-group reliability difference
ci.reliability()
Confidence interval for a reliability coefficient
ci.rsqr()
Confidence interval for squared multiple correlation
ci.sign()
Confidence interval for the parameter of the one-sample sign test
ci.slope.mean.bs()
Confidence interval for the slope of means in a one-factor experimental design with a quantitative between-subjects factor
ci.slope.median.bs()
Confidence interval for the slope of medians in a one-factor experimental design with a quantitative between-subjects factor
ci.slope.prop.bs()
Confidence interval for a slope of a proportion in a single-factor experimental design with a quantitative between-subjects factor
ci.spcor()
Confidence interval for a semipartial correlation
ci.spear()
Confidence interval for a Spearman correlation
ci.spear2()
Confidence interval for a 2-group Spearman correlation difference
ci.stdmean.ps()
Confidence intervals for a paired-samples standardized mean difference
ci.stdmean()
Confidence interval for a standardized mean
ci.stdmean.strat()
Confidence intervals for a 2-group standardized mean difference with stratified sampling
ci.stdmean2()
Confidence intervals for a 2-group standardized mean difference
ci.tetra()
Confidence interval for a tetrachoric correlation
ci.theil()
Theil-Sen estimate and confidence interval for slope
ci.tukey()
Tukey-Kramer confidence intervals for all pairwise mean differences in a between-subjects design
ci.var.upper()
Upper confidence limit of a variance
ci.yule()
Confidence intervals for generalized Yule coefficients

Miscellaneous

Other functions, including functions for simulating data

adj.se()
Adjusted standard errors for slope coefficients in an exploratory analysis
etasqr.gen.2way()
Generalized eta-squared estimates in a two-factor design
etasqr.adj()
Bias adjustment for an eta-squared estimate
expon.slope()
Confidence interval for an exponentiated slope
fitindices()
SEM fit indices
iqv()
Indices of qualitative variation
pi.score()
Prediction interval for one score
pi.score2()
Prediction interval for a difference of scores in a 2-group experiment
random.sample()
Generate a random sample
random.y()
Generate random sample of scores
random.yx()
Generates random bivariate scores
randomize()
Randomize a sample into groups
signal()
Parameter estimates for a signal detection study
slope.contrast()
Contrast coefficients for the slope of a quantitative factor
spearmanbrown()
Computes the reliability of a scale with r2 measurements given the reliability of a scale with r1 measurements

Power

Compute power for a given sample size for various designs

power.cor()
Approximates the power of a correlation test for a planned sample size
power.cor2()
Approximates the power of a test for equal correlations in a 2-group design for planned sample sizes
power.lc.mean.bs()
Approximates the power of a test for a linear contrast of means for planned sample sizes in a between-subjects design
power.mean.ps()
Approximates the power of a paired-samples t-test for a planned sample size
power.mean()
Approximates the power of a one-sample t-test for a planned sample size
power.mean2()
Approximates the power of a two-sample t-test for planned sample sizes
power.prop.ps()
Approximates the power of a paired-samples test of equal proportions for a planned sample size
power.prop()
Approximates the power of a 1-group proportion test for a planned sample size
power.prop2()
Approximates the power of a 2-group proportion test for planned sample sizes

Prediction intervals

Prediction intervals

pi.cor()
Prediction limits for an estimated correlation
pi.prop()
Prediction interval for an estimated proportion
pi.score.ps()
Prediction interval for difference of scores in a 2-level within-subjects experiment
pi.score()
Prediction interval for one score
pi.score2()
Prediction interval for a difference of scores in a 2-group experiment
pi.var()
Prediction limits for an estimated variance

Sample-size planning

Sample sizes for desired precision or power

size.ci.agree()
Sample size for a G-index confidence interval
size.ci.ancova2()
Sample size for a 2-group ANCOVA confidence interval
size.ci.biphi()
Sample size for biserial-phi correlation confidence interval
size.ci.condmean()
Sample size for a conditional mean confidence interval
size.ci.cor.prior()
Sample size for a Pearson correlation confidence interval using a planning value from a prior study
size.ci.cor()
Sample size for a Pearson or partial correlation confidence interval
size.ci.cor2()
Sample size for a 2-group Pearson correlation difference confidence interval
size.ci.cronbach()
Sample size for a Cronbach reliability confidence interval
size.ci.cronbach2()
Sample size for a 2-group Cronbach reliability difference confidence interval
size.ci.cv()
Sample size for a coefficient of variation
size.ci.etasqr()
Sample size for an eta-squared confidence interval
size.ci.gen()
Sample size for a confidence interval for any type of parameter
size.ci.gen2()
Sample size for a confidence interval for the difference of any type of parameter
size.ci.indirect()
Sample size for an indirect effect confidence interval
size.ci.lc.ancova()
Sample size for a linear contrast confidence interval in an ANCOVA
size.ci.lc.mean.bs()
Sample size for a between-subjects mean linear contrast confidence interval
size.ci.lc.mean.ws()
Sample size for a within-subjects mean linear contrast confidence interval
size.ci.lc.median.bs()
Sample size for a between-subjects median linear contrast confidence interval
size.ci.lc.prop.bs()
Sample size for a between-subjects proportion linear contrast confidence interval
size.ci.lc.stdmean.bs()
Sample size for a between-subjects standardized linear contrast of means confidence interval
size.ci.lc.stdmean.ws()
Sample size for a within-subjects standardized linear contrast of means confidence interval
size.ci.mape()
Sample size for a mean absolute prediction error confidence interval
size.ci.mean.prior()
Sample size for a mean confidence interval using a planning value from a prior study
size.ci.mean.ps()
Sample size for a paired-samples mean difference confidence interval
size.ci.mean()
Sample size for a mean confidence interval
size.ci.mean2()
Sample size for a 2-group mean difference confidence interval
size.ci.median()
Sample size for a median confidence interval
size.ci.median2()
Sample size for a 2-group median difference confidence interval
size.ci.oddsratio()
Sample size for an odds ratio confidence interval
size.ci.pbcor()
Sample size for a point-biserial correlation confidence interval
size.ci.phi()
Sample size for phi correlation confidence interval
size.ci.prop.prior()
Sample size for a proportion confidence interval using a planning value from a prior study
size.ci.prop.ps()
Sample size for a paired-sample proportion difference confidence interval
size.ci.prop()
Sample size for a proportion confidence interval
size.ci.prop2()
Sample size for a 2-group proportion difference confidence interval
size.ci.ratio.mean.ps()
Sample size for a paired-samples mean ratio confidence interval
size.ci.ratio.mean2()
Sample size for a 2-group mean ratio confidence interval
size.ci.ratio.prop.ps()
Sample size for a paired-samples proportion ratio confidence interval
size.ci.ratio.prop2()
Sample size for a 2-group proportion ratio confidence interval
size.ci.rsqr()
Sample size for a squared multiple correlation confidence interval
size.ci.second()
Sample size for a second-stage confidence interval
size.ci.slope.gen()
Sample size for a slope confidence interval in a general statistical model
size.ci.slope()
Sample size for a slope confidence interval
size.ci.spear()
Sample size for a Spearman correlation confidence interval
size.ci.spear2()
Sample size for a 2-group Spearman correlation difference confidence interval
size.ci.stdmean.ps()
Sample size for a paired-samples standardized mean difference confidence interval
size.ci.stdmean2()
Sample size for a 2-group standardized mean difference confidence interval
size.ci.tetra()
Sample size for a tetrachoric correlation confidence interval
size.ci.yule()
Sample size for a Yule's Q confidence interval
size.equiv.mean.ps()
Sample size for a paired-samples mean equivalence test
size.equiv.mean2()
Sample size for a 2-group mean equivalence test
size.equiv.prop.ps()
Sample size for a paired-samples proportion equivalence test
size.equiv.prop2()
Sample size for a 2-group proportion equivalence test
size.interval.cor()
Sample size for an interval test of a Pearson or partial correlation
size.supinf.mean.ps()
Sample size for a paired-samples mean superiority or noninferiority test
size.supinf.mean2()
Sample size for a 2-group mean superiority or noninferiority test
size.supinf.prop.ps()
Sample size for a paired-samples superiority or inferiority test of proportions
size.supinf.prop2()
Sample size for a 2-group superiority or inferiority test of proportions
size.test.ancova2()
Sample size for a 2-group ANCOVA hypothesis test
size.test.cor()
Sample size for a test of a Pearson or partial correlation
size.test.cor2()
Sample size for a test of equal Pearson or partial correlation in a 2-group design
size.test.cronbach()
Sample size to test a Cronbach reliability
size.test.cronbach2()
Sample size to test equality of Cronbach reliability coefficients in a 2-group design
size.test.gen()
Sample size for a test of any type of parameter
size.test.gen2()
Sample size for a test of 2-group difference for any type of parameter
size.test.lc.ancova()
Sample size for a mean linear contrast test in an ANCOVA
size.test.lc.mean.bs()
Sample size for a test of a between-subjects mean linear contrast
size.test.lc.mean.ws()
Sample size for a test of a within-subjects mean linear contrast
size.test.lc.prop.bs()
Sample size for a test of between-subjects proportion linear contrast
size.test.mann()
Sample size for a Mann-Whitney test
size.test.mean.ps()
Sample size for a test of a paired-samples mean difference
size.test.mean()
Sample size for a test of a mean
size.test.mean2()
Sample size for a test of a 2-group mean difference
size.test.prop.ps()
Sample size for a test of a paired-samples proportion difference
size.test.prop()
Sample size for a test of a single proportion
size.test.prop2()
Sample size for a test of a 2-group proportion difference
size.test.sign.ps()
Sample size for a paired-samples sign test
size.test.sign()
Sample size for a 1-group sign test
size.test.slope.gen()
Sample size for a slope hypothesis test in a general statistical model
size.test.slope()
Sample size for a test of a slope

Simulations

Test coverage of difference confidence intervals with simulated data

sim.ci.cor()
Simulates confidence interval coverage probability for a Pearson correlation
sim.ci.mean.ps()
Simulates confidence interval coverage probability for a paired-samples mean difference
sim.ci.mean()
Simulates confidence interval coverage probability for a mean
sim.ci.mean2()
Simulates confidence interval coverage probability for a 2-group mean difference
sim.ci.median.ps()
Simulates confidence interval coverage probability for a median difference in a paired-samples design
sim.ci.median()
Simulates confidence interval coverage probability for a median
sim.ci.median2()
Simulates confidence interval coverage probability for a median difference in a 2-group design
sim.ci.spear()
Simulates confidence interval coverage probability for a Spearman correlation
sim.ci.stdmean.ps()
Simulates confidence interval coverage probability for a standardized mean difference in a paired-samples design
sim.ci.stdmean2()
Simulates confidence interval coverage probability for a standardized mean difference in a 2-group design

Tests

Hypothesis tests

test.anova.bs()
Between-subjects F statistic and eta-squared from summary information
test.cor()
Hypothesis test for a Pearson or partial correlation
test.cor2()
Hypothesis test for a 2-group Pearson or partial correlation difference
test.kurtosis()
Computes p-value for test of excess kurtosis
test.mean()
Hypothesis test for a mean
test.mono.mean.bs()
Test of a monotonic trend in means for an ordered between-subjects factor
test.mono.median.bs()
Test of a monotonic trend in medians for an ordered between-subjects factor
test.mono.prop.bs()
Test of monotonic trend in proportions for an ordered between-subjects factor
test.prop.bs()
Hypothesis test of equal proportions in a between-subjects design
test.prop.ps()
Hypothesis test for a paired-samples proportion difference
test.prop()
Hypothesis test for a proportion
test.prop2()
Hypothesis test for a 2-group proportion difference
test.skew()
Computes p-value for test of skewness
test.spear()
Hypothesis test for a Spearman correlation
test.spear2()
Hypothesis test for a 2-group Spearman correlation difference