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  "Description": "Implements confidence interval and sample size methods\nthat are especially useful in psychological research, but are\nalso useful in business, social science, and biological\nresearch. The methods can be applied in 1-group, 2-group,\npaired-samples, and multiple-group designs and to a variety of\nparameters including means, medians, proportions, slopes,\nstandardized mean differences, standardized linear contrasts of\nmeans, plus several measures of correlation and association.\nConfidence interval and sample size functions are given for\nsingle parameters as well as differences, ratios, and linear\ncontrasts of parameters. The sample size functions can be used\nto approximate the sample size needed to estimate a parameter\nor function of parameters with desired confidence interval\nprecision or to perform a variety of hypothesis tests\n(directional two-sided, equivalence, superiority,\nnoninferiority) with desired power. For details see:\nStatistical Methods for Psychologists, Volumes 1 – 4,\n<https://dgbonett.sites.ucsc.edu/>.",
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    },
    {
      "page": "ci.icc",
      "title": "Confidence interval for an intraclass reliablity coefficient",
      "topics": [
        "ci.icc"
      ]
    },
    {
      "page": "ci.indirect",
      "title": "Confidence interval for an indirect effect",
      "topics": [
        "ci.indirect"
      ]
    },
    {
      "page": "ci.kappa",
      "title": "Confidence interval for two kappa reliability coefficients",
      "topics": [
        "ci.kappa"
      ]
    },
    {
      "page": "ci.lc.gen.bs",
      "title": "Confidence interval for a linear contrast of parameters in a between-subjects design",
      "topics": [
        "ci.lc.gen.bs"
      ]
    },
    {
      "page": "ci.lc.glm",
      "title": "Confidence interval for a linear contrast of general linear model parameters",
      "topics": [
        "ci.lc.glm"
      ]
    },
    {
      "page": "ci.lc.mean.bs",
      "title": "Confidence interval for a linear contrast of means in a between-subjects design",
      "topics": [
        "ci.lc.mean.bs"
      ]
    },
    {
      "page": "ci.lc.mean.scheffe",
      "title": "Scheffe confidence interval for a linear contrast of means in a between-subjects design",
      "topics": [
        "ci.lc.mean.scheffe"
      ]
    },
    {
      "page": "ci.lc.median.bs",
      "title": "Confidence interval for a linear contrast of medians in a between-subjects design",
      "topics": [
        "ci.lc.median.bs"
      ]
    },
    {
      "page": "ci.lc.prop.bs",
      "title": "Confidence interval for a linear contrast of proportions in a between- subjects design",
      "topics": [
        "ci.lc.prop.bs"
      ]
    },
    {
      "page": "ci.lc.prop.scheffe",
      "title": "Scheffe confidence interval for a linear contrast of proportions in a between-subjects design",
      "topics": [
        "ci.lc.prop.scheffe"
      ]
    },
    {
      "page": "ci.lc.reg",
      "title": "Confidence interval for a linear contrast of regression coefficients in multiple group regression model",
      "topics": [
        "ci.lc.reg"
      ]
    },
    {
      "page": "ci.lc.stdmean.bs",
      "title": "Confidence interval for a standardized linear contrast of means in a between-subjects design",
      "topics": [
        "ci.lc.stdmean.bs"
      ]
    },
    {
      "page": "ci.lc.stdmean.ws",
      "title": "Confidence interval for a standardized linear contrast of means in a within-subjects design",
      "topics": [
        "ci.lc.stdmean.ws"
      ]
    },
    {
      "page": "ci.mad",
      "title": "Confidence interval for a mean absolute deviation",
      "topics": [
        "ci.mad"
      ]
    },
    {
      "page": "ci.mann",
      "title": "Confidence interval for a Mann-Whitney parameter",
      "topics": [
        "ci.mann"
      ]
    },
    {
      "page": "ci.mape",
      "title": "Confidence interval for a mean absolute prediction error",
      "topics": [
        "ci.mape"
      ]
    },
    {
      "page": "ci.mean",
      "title": "Confidence interval for a mean",
      "topics": [
        "ci.mean"
      ]
    },
    {
      "page": "ci.mean.fpc",
      "title": "Confidence interval for a mean with a finite population correction",
      "topics": [
        "ci.mean.fpc"
      ]
    },
    {
      "page": "ci.mean.gen",
      "title": "Confidence intervals for generalized means",
      "topics": [
        "ci.mean.gen"
      ]
    },
    {
      "page": "ci.mean.ps",
      "title": "Confidence interval for a paired-samples mean difference",
      "topics": [
        "ci.mean.ps"
      ]
    },
    {
      "page": "ci.mean2",
      "title": "Confidence interval for a 2-group mean difference",
      "topics": [
        "ci.mean2"
      ]
    },
    {
      "page": "ci.median",
      "title": "Confidence interval for a median",
      "topics": [
        "ci.median"
      ]
    },
    {
      "page": "ci.median.ps",
      "title": "Confidence interval for a paired-samples median difference",
      "topics": [
        "ci.median.ps"
      ]
    },
    {
      "page": "ci.median2",
      "title": "Confidence interval for a 2-group median difference",
      "topics": [
        "ci.median2"
      ]
    },
    {
      "page": "ci.oddsratio",
      "title": "Confidence interval for an odds ratio",
      "topics": [
        "ci.oddsratio"
      ]
    },
    {
      "page": "ci.pairs.mult",
      "title": "Confidence intervals for pairwise proportion differences of a multinomial variable",
      "topics": [
        "ci.pairs.mult"
      ]
    },
    {
      "page": "ci.pairs.prop.bs",
      "title": "Bonferroni confidence intervals for all pairwise proportion differences in a between-subjects design",
      "topics": [
        "ci.pairs.prop.bs"
      ]
    },
    {
      "page": "ci.pbcor",
      "title": "Confidence intervals for point-biserial correlations",
      "topics": [
        "ci.pbcor"
      ]
    },
    {
      "page": "ci.phi",
      "title": "Confidence interval for a phi correlation",
      "topics": [
        "ci.phi"
      ]
    },
    {
      "page": "ci.poisson",
      "title": "Confidence interval for a Poisson rate",
      "topics": [
        "ci.poisson"
      ]
    },
    {
      "page": "ci.popsize",
      "title": "Confidence interval for an unknown population size",
      "topics": [
        "ci.popsize"
      ]
    },
    {
      "page": "ci.prop",
      "title": "Confidence intervals for a proportion",
      "topics": [
        "ci.prop"
      ]
    },
    {
      "page": "ci.prop.fpc",
      "title": "Confidence interval for a proportion with a finite population correction",
      "topics": [
        "ci.prop.fpc"
      ]
    },
    {
      "page": "ci.prop.inv",
      "title": "Confidence interval for a proportion using inverse sampling",
      "topics": [
        "ci.prop.inv"
      ]
    },
    {
      "page": "ci.prop.ps",
      "title": "Confidence interval for a paired-samples proportion difference",
      "topics": [
        "ci.prop.ps"
      ]
    },
    {
      "page": "ci.prop2",
      "title": "Confidence interval for a 2-group proportion difference",
      "topics": [
        "ci.prop2"
      ]
    },
    {
      "page": "ci.prop2.inv",
      "title": "Confidence interval for a 2-group proportion difference using inverse sampling",
      "topics": [
        "ci.prop2.inv"
      ]
    },
    {
      "page": "ci.pv",
      "title": "Confidence intervals for positive and negative predictive values with retrospective sampling",
      "topics": [
        "ci.pv"
      ]
    },
    {
      "page": "ci.random.anova",
      "title": "Confidence intervals for parameters of one-way random effects ANOVA",
      "topics": [
        "ci.random.anova"
      ]
    },
    {
      "page": "ci.ratio.cod2",
      "title": "Confidence interval for a ratio of dispersion coefficients in a 2-group design",
      "topics": [
        "ci.ratio.cod2"
      ]
    },
    {
      "page": "ci.ratio.cv2",
      "title": "Confidence interval for a ratio of coefficients of variation in a 2-group design",
      "topics": [
        "ci.ratio.cv2"
      ]
    },
    {
      "page": "ci.ratio.mad.ps",
      "title": "Confidence interval for a paired-samples MAD ratio",
      "topics": [
        "ci.ratio.mad.ps"
      ]
    },
    {
      "page": "ci.ratio.mad2",
      "title": "Confidence interval for a 2-group ratio of mean absolute deviations",
      "topics": [
        "ci.ratio.mad2"
      ]
    },
    {
      "page": "ci.ratio.mape2",
      "title": "Confidence interval for a ratio of mean absolute prediction errors in a 2-group design",
      "topics": [
        "ci.ratio.mape2"
      ]
    },
    {
      "page": "ci.ratio.mean.ps",
      "title": "Confidence interval for a paired-samples mean ratio",
      "topics": [
        "ci.ratio.mean.ps"
      ]
    },
    {
      "page": "ci.ratio.mean2",
      "title": "Confidence interval for a 2-group mean ratio",
      "topics": [
        "ci.ratio.mean2"
      ]
    },
    {
      "page": "ci.ratio.median.ps",
      "title": "Confidence interval for a paired-samples median ratio",
      "topics": [
        "ci.ratio.median.ps"
      ]
    },
    {
      "page": "ci.ratio.median2",
      "title": "Confidence interval for a 2-group median ratio",
      "topics": [
        "ci.ratio.median2"
      ]
    },
    {
      "page": "ci.ratio.poisson2",
      "title": "Confidence interval for a ratio of Poisson rates in a 2-group design",
      "topics": [
        "ci.ratio.poisson2"
      ]
    },
    {
      "page": "ci.ratio.prop.ps",
      "title": "Confidence interval for a paired-samples proportion ratio",
      "topics": [
        "ci.ratio.prop.ps"
      ]
    },
    {
      "page": "ci.ratio.prop2",
      "title": "Confidence interval for a 2-group proportion ratio",
      "topics": [
        "ci.ratio.prop2"
      ]
    },
    {
      "page": "ci.ratio.sd2",
      "title": "Confidence interval for a 2-group ratio of standard deviations",
      "topics": [
        "ci.ratio.sd2"
      ]
    },
    {
      "page": "ci.rel2",
      "title": "Confidence interval for a 2-group reliability difference",
      "topics": [
        "ci.rel2"
      ]
    },
    {
      "page": "ci.reliability",
      "title": "Confidence interval for a reliability coefficient",
      "topics": [
        "ci.reliability"
      ]
    },
    {
      "page": "ci.rsqr",
      "title": "Confidence interval for squared multiple correlation",
      "topics": [
        "ci.rsqr"
      ]
    },
    {
      "page": "ci.sd",
      "title": "Confidence interval for a standard deviation",
      "topics": [
        "ci.sd"
      ]
    },
    {
      "page": "ci.sign",
      "title": "Confidence interval for the parameter of the one-sample sign test",
      "topics": [
        "ci.sign"
      ]
    },
    {
      "page": "ci.slope",
      "title": "Confidence interval for a slope in a simple linear model",
      "topics": [
        "ci.slope"
      ]
    },
    {
      "page": "ci.slope.mean.bs",
      "title": "Confidence interval for the slope of means in a one-factor experimental design with a quantitative between-subjects factor",
      "topics": [
        "ci.slope.mean.bs"
      ]
    },
    {
      "page": "ci.slope.median.bs",
      "title": "Confidence interval for the slope of medians in a one-factor experimental design with a quantitative between-subjects factor",
      "topics": [
        "ci.slope.median.bs"
      ]
    },
    {
      "page": "ci.slope.prop.bs",
      "title": "Confidence interval for a slope of a proportion in a single-factor experimental design with a quantitative between-subjects factor",
      "topics": [
        "ci.slope.prop.bs"
      ]
    },
    {
      "page": "ci.spcor",
      "title": "Confidence interval for a semipartial correlation",
      "topics": [
        "ci.spcor"
      ]
    },
    {
      "page": "ci.spear",
      "title": "Confidence interval for a Spearman correlation",
      "topics": [
        "ci.spear"
      ]
    },
    {
      "page": "ci.spear2",
      "title": "Confidence interval for a 2-group Spearman correlation difference",
      "topics": [
        "ci.spear2"
      ]
    },
    {
      "page": "ci.stdmean",
      "title": "Confidence interval for a standardized mean",
      "topics": [
        "ci.stdmean"
      ]
    },
    {
      "page": "ci.stdmean.ps",
      "title": "Confidence intervals for a paired-samples standardized mean difference",
      "topics": [
        "ci.stdmean.ps"
      ]
    },
    {
      "page": "ci.stdmean.strat",
      "title": "Confidence intervals for a 2-group standardized mean difference with stratified sampling",
      "topics": [
        "ci.stdmean.strat"
      ]
    },
    {
      "page": "ci.stdmean2",
      "title": "Confidence intervals for a 2-group standardized mean difference",
      "topics": [
        "ci.stdmean2"
      ]
    },
    {
      "page": "ci.tetra",
      "title": "Confidence interval for a tetrachoric correlation",
      "topics": [
        "ci.tetra"
      ]
    },
    {
      "page": "ci.theil",
      "title": "Theil-Sen estimate and confidence interval for slope",
      "topics": [
        "ci.theil"
      ]
    },
    {
      "page": "ci.tukey",
      "title": "Tukey-Kramer confidence intervals for all pairwise mean differences in a between-subjects design",
      "topics": [
        "ci.tukey"
      ]
    },
    {
      "page": "ci.var.upper",
      "title": "Upper confidence limit of a variance",
      "topics": [
        "ci.var.upper"
      ]
    },
    {
      "page": "ci.yule",
      "title": "Confidence intervals for generalized Yule coefficients",
      "topics": [
        "ci.yule"
      ]
    },
    {
      "page": "etasqr.adj",
      "title": "Bias adjustment for an eta-squared estimate",
      "topics": [
        "etasqr.adj"
      ]
    },
    {
      "page": "etasqr.gen.2way",
      "title": "Generalized eta-squared estimates in a two-factor design",
      "topics": [
        "etasqr.gen.2way"
      ]
    },
    {
      "page": "expon.slope",
      "title": "Confidence interval for an exponentiated slope",
      "topics": [
        "expon.slope"
      ]
    },
    {
      "page": "fitindices",
      "title": "SEM fit indices",
      "topics": [
        "fitindices"
      ]
    },
    {
      "page": "iqv",
      "title": "Indices of qualitative variation",
      "topics": [
        "iqv"
      ]
    },
    {
      "page": "pi.cor",
      "title": "Prediction limits for a sample correlation in a future study",
      "topics": [
        "pi.cor"
      ]
    },
    {
      "page": "pi.cronbach",
      "title": "Prediction limits for sample value of Cronbach reliability in a future study",
      "topics": [
        "pi.cronbach"
      ]
    },
    {
      "page": "pi.prop",
      "title": "Prediction interval for a sample proportion in a future study",
      "topics": [
        "pi.prop"
      ]
    },
    {
      "page": "pi.score",
      "title": "Prediction interval for one score",
      "topics": [
        "pi.score"
      ]
    },
    {
      "page": "pi.score.ps",
      "title": "Prediction interval for difference of scores in a 2-level within-subjects experiment",
      "topics": [
        "pi.score.ps"
      ]
    },
    {
      "page": "pi.score2",
      "title": "Prediction interval for a difference of scores in a 2-group experiment",
      "topics": [
        "pi.score2"
      ]
    },
    {
      "page": "pi.var",
      "title": "Prediction limits for a sample variance in a future study",
      "topics": [
        "pi.var"
      ]
    },
    {
      "page": "power.cor",
      "title": "Approximates the power of a correlation test for a planned sample size",
      "topics": [
        "power.cor"
      ]
    },
    {
      "page": "power.cor2",
      "title": "Approximates the power of a test for equal correlations in a 2-group design for planned sample sizes",
      "topics": [
        "power.cor2"
      ]
    },
    {
      "page": "power.lc.mean.bs",
      "title": "Approximates the power of a test for a linear contrast of means for planned sample sizes in a between-subjects design",
      "topics": [
        "power.lc.mean.bs"
      ]
    },
    {
      "page": "power.mean",
      "title": "Approximates the power of a one-sample t-test for a planned sample size",
      "topics": [
        "power.mean"
      ]
    },
    {
      "page": "power.mean.ps",
      "title": "Approximates the power of a paired-samples t-test for a planned sample size",
      "topics": [
        "power.mean.ps"
      ]
    },
    {
      "page": "power.mean2",
      "title": "Approximates the power of a two-sample t-test for planned sample sizes",
      "topics": [
        "power.mean2"
      ]
    },
    {
      "page": "power.prop",
      "title": "Approximates the power of a 1-group proportion test for a planned sample size",
      "topics": [
        "power.prop"
      ]
    },
    {
      "page": "power.prop.ps",
      "title": "Approximates the power of a paired-samples test of equal proportions for a planned sample size",
      "topics": [
        "power.prop.ps"
      ]
    },
    {
      "page": "power.prop2",
      "title": "Approximates the power of a 2-group proportion test for planned sample sizes",
      "topics": [
        "power.prop2"
      ]
    },
    {
      "page": "random.sample",
      "title": "Generate a random sample",
      "topics": [
        "random.sample"
      ]
    },
    {
      "page": "random.y",
      "title": "Generate random sample of scores",
      "topics": [
        "random.y"
      ]
    },
    {
      "page": "random.yx",
      "title": "Generates random bivariate scores",
      "topics": [
        "random.yx"
      ]
    },
    {
      "page": "randomize",
      "title": "Randomize a sample into groups",
      "topics": [
        "randomize"
      ]
    },
    {
      "page": "signal",
      "title": "Parameter estimates for a signal detection study",
      "topics": [
        "signal"
      ]
    },
    {
      "page": "sim.ci.cor",
      "title": "Simulates confidence interval coverage probability for a Pearson correlation",
      "topics": [
        "sim.ci.cor"
      ]
    },
    {
      "page": "sim.ci.mean",
      "title": "Simulates confidence interval coverage probability for a mean",
      "topics": [
        "sim.ci.mean"
      ]
    },
    {
      "page": "sim.ci.mean.ps",
      "title": "Simulates confidence interval coverage probability for a paired-samples mean difference",
      "topics": [
        "sim.ci.mean.ps"
      ]
    },
    {
      "page": "sim.ci.mean2",
      "title": "Simulates confidence interval coverage probability for a 2-group mean difference",
      "topics": [
        "sim.ci.mean2"
      ]
    },
    {
      "page": "sim.ci.median",
      "title": "Simulates confidence interval coverage probability for a median",
      "topics": [
        "sim.ci.median"
      ]
    },
    {
      "page": "sim.ci.median.ps",
      "title": "Simulates confidence interval coverage probability for a median difference in a paired-samples design",
      "topics": [
        "sim.ci.median.ps"
      ]
    },
    {
      "page": "sim.ci.median2",
      "title": "Simulates confidence interval coverage probability for a median difference in a 2-group design",
      "topics": [
        "sim.ci.median2"
      ]
    },
    {
      "page": "sim.ci.spear",
      "title": "Simulates confidence interval coverage probability for a Spearman correlation",
      "topics": [
        "sim.ci.spear"
      ]
    },
    {
      "page": "sim.ci.stdmean.ps",
      "title": "Simulates confidence interval coverage probability for a standardized mean difference in a paired-samples design",
      "topics": [
        "sim.ci.stdmean.ps"
      ]
    },
    {
      "page": "sim.ci.stdmean2",
      "title": "Simulates confidence interval coverage probability for a standardized mean difference in a 2-group design",
      "topics": [
        "sim.ci.stdmean2"
      ]
    },
    {
      "page": "size.ci.agree",
      "title": "Sample size for a G-index confidence interval",
      "topics": [
        "size.ci.agree"
      ]
    },
    {
      "page": "size.ci.ancova2",
      "title": "Sample size for a 2-group ANCOVA confidence interval",
      "topics": [
        "size.ci.ancova2"
      ]
    },
    {
      "page": "size.ci.biphi",
      "title": "Sample size for biserial-phi correlation confidence interval",
      "topics": [
        "size.ci.biphi"
      ]
    },
    {
      "page": "size.ci.condmean",
      "title": "Sample size for a conditional mean confidence interval",
      "topics": [
        "size.ci.condmean"
      ]
    },
    {
      "page": "size.ci.cor",
      "title": "Sample size for a Pearson or partial correlation confidence interval",
      "topics": [
        "size.ci.cor"
      ]
    },
    {
      "page": "size.ci.cor.prior",
      "title": "Sample size for a Pearson correlation confidence interval using an estimated correlation from a prior study",
      "topics": [
        "size.ci.cor.prior"
      ]
    },
    {
      "page": "size.ci.cor2",
      "title": "Sample size for a 2-group Pearson correlation difference confidence interval",
      "topics": [
        "size.ci.cor2"
      ]
    },
    {
      "page": "size.ci.cronbach",
      "title": "Sample size for a Cronbach reliability confidence interval",
      "topics": [
        "size.ci.cronbach"
      ]
    },
    {
      "page": "size.ci.cronbach.prior",
      "title": "Sample size for a Cronbach reliability confidence interval using an reliability estimate from a prior study",
      "topics": [
        "size.ci.cronbach.prior"
      ]
    },
    {
      "page": "size.ci.cronbach2",
      "title": "Sample size for a 2-group Cronbach reliability difference confidence interval",
      "topics": [
        "size.ci.cronbach2"
      ]
    },
    {
      "page": "size.ci.cv",
      "title": "Sample size for a coefficient of variation",
      "topics": [
        "size.ci.cv"
      ]
    },
    {
      "page": "size.ci.etasqr",
      "title": "Sample size for an eta-squared confidence interval",
      "topics": [
        "size.ci.etasqr"
      ]
    },
    {
      "page": "size.ci.gen",
      "title": "Sample size for a confidence interval for any type of parameter",
      "topics": [
        "size.ci.gen"
      ]
    },
    {
      "page": "size.ci.gen2",
      "title": "Sample size for a confidence interval for the difference of any type of parameter",
      "topics": [
        "size.ci.gen2"
      ]
    },
    {
      "page": "size.ci.icc",
      "title": "Sample size for a intraclass correlation confidence interval",
      "topics": [
        "size.ci.icc"
      ]
    },
    {
      "page": "size.ci.icc.prior",
      "title": "Sample size for an intraclass correlation confidence interval using a planning value from a prior study",
      "topics": [
        "size.ci.icc.prior"
      ]
    },
    {
      "page": "size.ci.indirect",
      "title": "Sample size for an indirect effect confidence interval",
      "topics": [
        "size.ci.indirect"
      ]
    },
    {
      "page": "size.ci.lc.ancova",
      "title": "Sample size for a linear contrast confidence interval in an ANCOVA",
      "topics": [
        "size.ci.lc.ancova"
      ]
    },
    {
      "page": "size.ci.lc.mean.bs",
      "title": "Sample size for a between-subjects mean linear contrast confidence interval",
      "topics": [
        "size.ci.lc.mean.bs"
      ]
    },
    {
      "page": "size.ci.lc.mean.ws",
      "title": "Sample size for a within-subjects mean linear contrast confidence interval",
      "topics": [
        "size.ci.lc.mean.ws"
      ]
    },
    {
      "page": "size.ci.lc.median.bs",
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      "page": "size.ci.lc.stdmean.ws",
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      "page": "size.ci.mape",
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      "page": "size.ci.mean",
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      "page": "size.ci.mean.prior",
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      "page": "size.ci.mean.ps",
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    {
      "page": "size.ci.mean2",
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    {
      "page": "size.ci.median",
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      "page": "size.ci.median2",
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      "page": "size.ci.oddsratio",
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      "page": "size.ci.pbcor",
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      "page": "size.ci.prop.ps",
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      "page": "size.ci.ratio.mean2",
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      "page": "size.ci.ratio.prop.ps",
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      "page": "size.ci.ratio.prop2",
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      "page": "size.ci.second",
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      "page": "size.ci.spear",
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      "page": "size.ci.spear2",
      "title": "Sample size for a 2-group Spearman correlation difference confidence interval",
      "topics": [
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      "page": "size.ci.stdmean2",
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      "page": "size.ci.tetra",
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      "page": "size.equiv.mean.ps",
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    {
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    {
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      "page": "size.supinf.mean2",
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      "page": "size.supinf.prop.ps",
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