# Statistical Methods for Psychologists

## Documentation for package ‘statpsych’ version 2.0.0

- DESCRIPTION file.
- Package NEWS.

## Help Pages

A C E F L P R S T

## -- A --

adj.se | Adjusted standard errors for slope coefficients in an exploratory analysis

## -- C --

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 | Confidence interval for a G-index of agreement
ci.agree.3rater | Computes confidence intervals for a 3-rater design with dichotomous ratings
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 | Confidence intervals for conditional (simple) slopes in a linear model
ci.condslope.log | Confidence intervals for conditional (simple) slopes in a logistic model
ci.cor | Confidence interval for a Pearson or partial correlation
ci.cor.dep | Confidence interval for a difference in dependent Pearson correlations
ci.cor2 | Confidence interval for a 2-group Pearson correlation difference
ci.cor2.gen | Confidence interval for a 2-group 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.diversity | Confidence intervals for diversity indices
ci.etasqr | Confidence interval for eta-squared
ci.fisher | Fisher confidence interval
ci.icc | Confidence interval for an intraclass reliability coefficient
ci.indirect | Confidence interval for an indirect effect
ci.kappa | Confidence interval for two kappa reliability coefficients
ci.kendalltau | Confidence interval for a Kendall tau-a correlation
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.mean.scheffe | Scheffe 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.prop.scheffe | Scheffe 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 | Confidence interval for a mean
ci.mean.fpc | Confidence interval for a mean with a finite population correction
ci.mean.gen | Confidence intervals for generalized means
ci.mean.ps | Confidence interval for a paired-samples mean difference
ci.mean2 | Confidence interval for a 2-group mean difference
ci.median | Confidence interval for a median
ci.median.ps | Confidence interval for a paired-samples median difference
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 | Confidence intervals for a proportion
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.prop2 | Confidence interval for a 2-group proportion difference
ci.prop2.inv | Confidence interval for a 2-group proportion difference using inverse sampling
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.sd | Confidence interval for a standard deviation
ci.sign | Confidence interval for the parameter of the one-sample sign test
ci.slope | Confidence interval for a slope in a simple linear model
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 | Confidence interval for a standardized mean
ci.stdmean.ps | Confidence intervals for a paired-samples standardized mean difference
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

## -- E --

etasqr.adj | Bias adjustment for an eta-squared estimate
etasqr.gen.2way | Generalized eta-squared estimates in a two-factor design
expon.slope | Confidence interval for an exponentiated slope

## -- F --

fitindices | SEM fit indices

## -- L --

logitfit | The confusion matrix is computed using the observed 0 or 1 response variable scores, the predicted probabilities from the logistic model, and a specified cutpoint.

## -- P --

pi.cor | Prediction limits for a sample correlation in a future study
pi.cronbach | Prediction limits for sample value of Cronbach reliability in a future study
pi.prop | Prediction interval for a sample proportion in a future study
pi.score | Prediction interval for one score
pi.score.ps | Prediction interval for difference of scores in a 2-level within-subjects experiment
pi.score2 | Prediction interval for a difference of scores in a 2-group experiment
pi.var | Prediction limits for a sample variance in a future study
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.mann | Approximates the power of a Mann-Whitney test
power.mean | Approximates the power of a one-sample t-test for a planned sample size
power.mean.ps | Approximates the power of a paired-samples t-test for a planned sample size
power.mean2 | Approximates the power of a two-sample t-test for planned sample sizes
power.prop | Approximates the power of a 1-group proportion test for a planned sample size
power.prop.ps | Approximates the power of a paired-samples test of equal proportions for a planned sample size
power.prop2 | Approximates the power of a 2-group proportion test for planned sample sizes

## -- R --

random.sample | Generate a random sample
random.y | Generate random sample of scores
random.yx | Generates random bivariate normal scores
random.yx.nonnormal | Generates random bivariate nonnormal scores
randomize | Randomize a sample into groups

## -- S --

signal | Parameter estimates for a signal detection study
sim.ci.cor | Simulates confidence interval coverage probability for a Pearson correlation
sim.ci.mean | Simulates confidence interval coverage probability for a mean
sim.ci.mean.ps | Simulates confidence interval coverage probability for a paired-samples mean difference
sim.ci.mean2 | Simulates confidence interval coverage probability for a 2-group mean difference
sim.ci.median | Simulates confidence interval coverage probability for a median
sim.ci.median.ps | Simulates confidence interval coverage probability for a median difference in a paired-samples design
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
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 | Sample size for a Pearson or partial correlation confidence interval
size.ci.cor.prior | Sample size for a Pearson correlation confidence interval using an estimated correlation from a prior study
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.cronbach.prior | Sample size for a Cronbach reliability confidence interval using an reliability estimate from a prior study
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.icc | Sample size for a intraclass correlation confidence interval
size.ci.icc.prior | Sample size for an intraclass correlation confidence interval using a planning value from a prior study
size.ci.indirect | Sample size for an indirect effect confidence interval
size.ci.kendalltau | Sample size for a Kendall-a correlation 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 | Sample size for a mean confidence interval
size.ci.mean.prior | Sample size for a mean confidence interval using an estimated variance from a prior study
size.ci.mean.ps | Sample size for a paired-samples mean difference confidence interval
size.ci.mean.ps.prior | Sample size for a paired-samples mean difference confidence interval using an estimated variance and correlation from a prior study
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 | Sample size for a proportion confidence interval
size.ci.prop.prior | Sample size for a proportion confidence interval using an estimated proportion from a prior study
size.ci.prop.ps | Sample size for a paired-sample proportion difference 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.sd | Sample size for a standard deviation confidence interval
size.ci.second | Sample size for a second-stage confidence interval
size.ci.slope | Sample size for a slope confidence interval
size.ci.slope.gen | Sample size for a slope confidence interval in a general statistical model
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.icc | Sample size to test an intraclass correlation
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 | Sample size for a test of a mean
size.test.mean.ps | Sample size for a test of a paired-samples mean difference
size.test.mean2 | Sample size for a test of a 2-group mean difference
size.test.prop | Sample size for a test of a single proportion
size.test.prop.ps | Sample size for a test of a paired-samples proportion difference
size.test.prop2 | Sample size for a test of a 2-group proportion difference
size.test.sign | Sample size for a 1-group sign test
size.test.sign.ps | Sample size for a paired-samples sign test
size.test.slope | Sample size for a test of a slope
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

## -- T --

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.kurtosis.geary | Computes estimate and test of excess Geary 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 | Hypothesis test for a proportion
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.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