Statistical Methods for Psychologists
Adjusted standard errors for slope coefficients in an exploratory anal...
Computes tests and confidence intervals of effects in a 2x2 between-su...
Computes tests and confidence intervals of effects in a 2x2 mixed desi...
Computes tests and confidence intervals of effects in a 2x2 within-sub...
Computes tests and confidence intervals of effects in a 2x2 between-su...
Computes confidence intervals in a 2x2 mixed design for medians
Computes confidence intervals of effects in a 2x2 within-subjects desi...
Computes tests and confidence intervals of effects in a 2x2 between- s...
Computes tests and confidence intervals of effects in a 2x2 mixed desi...
Computes confidence intervals of standardized effects in a 2x2 between...
Computes confidence intervals of standardized effects in a 2x2 mixed d...
Computes confidence intervals of standardized effects in a 2x2 within-...
Computes confidence intervals for a 3-rater design with dichotomous ra...
Confidence interval for a G-index of agreement
Confidence interval for G-index difference in a 2-group design
Bayesian credible interval for a Pearson or partial correlation with a...
Bayesian credible interval for a normal prior distribution
Bayesian credible interval for a proportion
Bayesian credible interval for a semipartial correlation with a skepti...
Confidence interval for a biserial-phi correlation
Confidence interval for a biserial correlation
Confidence interval for a coefficient of dispersion
Confidence intervals for conditional (simple) slopes in a logistic mod...
Confidence intervals for conditional (simple) slopes in a linear model
Confidence interval for a difference in dependent Pearson correlations
Confidence interval for a Pearson or partial correlation
Confidence interval for a 2-group correlation difference
Confidence interval for a 2-group Pearson correlation difference
Confidence interval for a coefficient of quartile variation
Confidence interval for Cramer's V
Confidence interval for a Cronbach reliability
Confidence interval for a difference in Cronbach reliabilities in a 2-...
Confidence interval for a coefficient of variation
Confidence intervals for diversity indices
Confidence interval for eta-squared
Fisher confidence interval
Confidence interval for an intraclass reliablity coefficient
Confidence interval for an indirect effect
Confidence interval for two kappa reliability coefficients
Confidence interval for a linear contrast of parameters in a between-s...
Confidence interval for a linear contrast of general linear model para...
Confidence interval for a linear contrast of means in a between-subjec...
Scheffe confidence interval for a linear contrast of means in a betwee...
Confidence interval for a linear contrast of medians in a between-subj...
Confidence interval for a linear contrast of proportions in a between-...
Scheffe confidence interval for a linear contrast of proportions in a ...
Confidence interval for a linear contrast of regression coefficients i...
Confidence interval for a standardized linear contrast of means in a b...
Confidence interval for a standardized linear contrast of means in a w...
Confidence interval for a mean absolute deviation
Confidence interval for a Mann-Whitney parameter
Confidence interval for a mean absolute prediction error
Confidence interval for a mean with a finite population correction
Confidence intervals for generalized means
Confidence interval for a paired-samples mean difference
Confidence interval for a mean
Confidence interval for a 2-group mean difference
Confidence interval for a paired-samples median difference
Confidence interval for a median
Confidence interval for a 2-group median difference
Confidence interval for an odds ratio
Confidence intervals for pairwise proportion differences of a multinom...
Bonferroni confidence intervals for all pairwise proportion difference...
Confidence intervals for point-biserial correlations
Confidence interval for a phi correlation
Confidence interval for a Poisson rate
Confidence interval for an unknown population size
Confidence interval for a proportion with a finite population correcti...
Confidence interval for a proportion using inverse sampling
Confidence interval for a paired-samples proportion difference
Confidence intervals for a proportion
Confidence interval for a 2-group proportion difference using inverse ...
Confidence interval for a 2-group proportion difference
Confidence intervals for positive and negative predictive values with ...
Confidence intervals for parameters of one-way random effects ANOVA
Confidence interval for a ratio of dispersion coefficients in a 2-grou...
Confidence interval for a ratio of coefficients of variation in a 2-gr...
Confidence interval for a paired-samples MAD ratio
Confidence interval for a 2-group ratio of mean absolute deviations
Confidence interval for a ratio of mean absolute prediction errors in ...
Confidence interval for a paired-samples mean ratio
Confidence interval for a 2-group mean ratio
Confidence interval for a paired-samples median ratio
Confidence interval for a 2-group median ratio
Confidence interval for a ratio of Poisson rates in a 2-group design
Confidence interval for a paired-samples proportion ratio
Confidence interval for a 2-group proportion ratio
Confidence interval for a 2-group ratio of standard deviations
Confidence interval for a 2-group reliability difference
Confidence interval for a reliability coefficient
Confidence interval for squared multiple correlation
Confidence interval for a standard deviation
Confidence interval for the parameter of the one-sample sign test
Confidence interval for the slope of means in a one-factor experimenta...
Confidence interval for the slope of medians in a one-factor experimen...
Confidence interval for a slope of a proportion in a single-factor exp...
Confidence interval for a slope in a simple linear model
Confidence interval for a semipartial correlation
Confidence interval for a Spearman correlation
Confidence interval for a 2-group Spearman correlation difference
Confidence intervals for a paired-samples standardized mean difference
Confidence interval for a standardized mean
Confidence intervals for a 2-group standardized mean difference with s...
Confidence intervals for a 2-group standardized mean difference
Confidence interval for a tetrachoric correlation
Theil-Sen estimate and confidence interval for slope
Tukey-Kramer confidence intervals for all pairwise mean differences in...
Upper confidence limit of a variance
Confidence intervals for generalized Yule coefficients
Bias adjustment for an eta-squared estimate
Generalized eta-squared estimates in a two-factor design
Confidence interval for an exponentiated slope
SEM fit indices
Indices of qualitative variation
Prediction limits for a sample correlation in a future study
Prediction limits for sample value of Cronbach reliability in a future...
Prediction interval for a sample proportion in a future study
Prediction interval for difference of scores in a 2-level within-subje...
Prediction interval for one score
Prediction interval for a difference of scores in a 2-group experiment
Prediction limits for a sample variance in a future study
Approximates the power of a correlation test for a planned sample size
Approximates the power of a test for equal correlations in a 2-group d...
Approximates the power of a test for a linear contrast of means for pl...
Approximates the power of a paired-samples t-test for a planned sample...
Approximates the power of a one-sample t-test for a planned sample siz...
Approximates the power of a two-sample t-test for planned sample sizes
Approximates the power of a paired-samples test of equal proportions f...
Approximates the power of a 1-group proportion test for a planned samp...
Approximates the power of a 2-group proportion test for planned sample...
Generate a random sample
Generate random sample of scores
Generates random bivariate scores
Randomize a sample into groups
Parameter estimates for a signal detection study
Simulates confidence interval coverage probability for a Pearson corre...
Simulates confidence interval coverage probability for a paired-sample...
Simulates confidence interval coverage probability for a mean
Simulates confidence interval coverage probability for a 2-group mean ...
Simulates confidence interval coverage probability for a median differ...
Simulates confidence interval coverage probability for a median
Simulates confidence interval coverage probability for a median differ...
Simulates confidence interval coverage probability for a Spearman corr...
Simulates confidence interval coverage probability for a standardized ...
Simulates confidence interval coverage probability for a standardized ...
Sample size for a G-index confidence interval
Sample size for a 2-group ANCOVA confidence interval
Sample size for biserial-phi correlation confidence interval
Sample size for a conditional mean confidence interval
Sample size for a Pearson correlation confidence interval using an est...
Sample size for a Pearson or partial correlation confidence interval
Sample size for a 2-group Pearson correlation difference confidence in...
Sample size for a Cronbach reliability confidence interval using an re...
Sample size for a Cronbach reliability confidence interval
Sample size for a 2-group Cronbach reliability difference confidence i...
Sample size for a coefficient of variation
Sample size for an eta-squared confidence interval
Sample size for a confidence interval for any type of parameter
Sample size for a confidence interval for the difference of any type o...
Sample size for an intraclass correlation confidence interval using a ...
Sample size for a intraclass correlation confidence interval
Sample size for an indirect effect confidence interval
Sample size for a linear contrast confidence interval in an ANCOVA
Sample size for a between-subjects mean linear contrast confidence int...
Sample size for a within-subjects mean linear contrast confidence inte...
Sample size for a between-subjects median linear contrast confidence i...
Sample size for a between-subjects proportion linear contrast confiden...
Sample size for a between-subjects standardized linear contrast of mea...
Sample size for a within-subjects standardized linear contrast of mean...
Sample size for a mean absolute prediction error confidence interval
Sample size for a mean confidence interval using an estimated variance...
Sample size for a paired-samples mean difference confidence interval
Sample size for a mean confidence interval
Sample size for a 2-group mean difference confidence interval
Sample size for a median confidence interval
Sample size for a 2-group median difference confidence interval
Sample size for an odds ratio confidence interval
Sample size for a point-biserial correlation confidence interval
Sample size for phi correlation confidence interval
Sample size for a proportion confidence interval using an estimated pr...
Sample size for a paired-sample proportion difference confidence inter...
Sample size for a proportion confidence interval
Sample size for a 2-group proportion difference confidence interval
Sample size for a paired-samples mean ratio confidence interval
Sample size for a 2-group mean ratio confidence interval
Sample size for a paired-samples proportion ratio confidence interval
Sample size for a 2-group proportion ratio confidence interval
Sample size for a squared multiple correlation confidence interval
Sample size for a standard deviation confidence interval
Sample size for a second-stage confidence interval
Sample size for a slope confidence interval in a general statistical m...
Sample size for a slope confidence interval
Sample size for a Spearman correlation confidence interval
Sample size for a 2-group Spearman correlation difference confidence i...
Sample size for a paired-samples standardized mean difference confiden...
Sample size for a 2-group standardized mean difference confidence inte...
Sample size for a tetrachoric correlation confidence interval
Sample size for a Yule's Q confidence interval
Sample size for a paired-samples mean equivalence test
Sample size for a 2-group mean equivalence test
Sample size for a paired-samples proportion equivalence test
Sample size for a 2-group proportion equivalence test
Sample size for an interval test of a Pearson or partial correlation
Sample size for a paired-samples mean superiority or noninferiority te...
Sample size for a 2-group mean superiority or noninferiority test
Sample size for a paired-samples superiority or inferiority test of pr...
Sample size for a 2-group superiority or inferiority test of proportio...
Sample size for a 2-group ANCOVA hypothesis test
Sample size for a test of a Pearson or partial correlation
Sample size for a test of equal Pearson or partial correlation in a 2-...
Sample size to test a Cronbach reliability
Sample size to test equality of Cronbach reliability coefficients in a...
Sample size for a test of any type of parameter
Sample size for a test of 2-group difference for any type of parameter
Sample size for a mean linear contrast test in an ANCOVA
Sample size for a test of a between-subjects mean linear contrast
Sample size for a test of a within-subjects mean linear contrast
Sample size for a test of between-subjects proportion linear contrast
Sample size for a Mann-Whitney test
Sample size for a test of a paired-samples mean difference
Sample size for a test of a mean
Sample size for a test of a 2-group mean difference
Sample size for a test of a paired-samples proportion difference
Sample size for a test of a single proportion
Sample size for a test of a 2-group proportion difference
Sample size for a paired-samples sign test
Sample size for a 1-group sign test
Sample size for a test of a slope
Contrast coefficients for the slope of a quantitative factor
Computes the reliability of a scale with r2 measurements given the rel...
Between-subjects F statistic and eta-squared from summary information
Hypothesis test for a Pearson or partial correlation
Hypothesis test for a 2-group Pearson or partial correlation differenc...
Computes p-value for test of excess kurtosis
Hypothesis test for a mean
Test of a monotonic trend in means for an ordered between-subjects fac...
Test of a monotonic trend in medians for an ordered between-subjects f...
Test of monotonic trend in proportions for an ordered between-subjects...
Hypothesis test of equal proportions in a between-subjects design
Hypothesis test for a paired-samples proportion difference
Hypothesis test for a proportion
Hypothesis test for a 2-group proportion difference
Computes p-value for test of skewness
Hypothesis test for a Spearman correlation
Hypothesis test for a 2-group Spearman correlation difference
Implements confidence interval and sample size methods that are especially useful in psychological research. The methods can be applied in 1-group, 2-group, paired-samples, and multiple-group designs and to a variety of parameters including means, medians, proportions, slopes, standardized mean differences, standardized linear contrasts of means, plus several measures of correlation and association. Confidence interval and sample size functions are given for single parameters as well as differences, ratios, and linear contrasts of parameters. The sample size functions can be used to approximate the sample size needed to estimate a parameter or function of parameters with desired confidence interval precision or to perform a variety of hypothesis tests (directional two-sided, equivalence, superiority, noninferiority) with desired power. For details see: Statistical Methods for Psychologists, Volumes 1 – 4, <https://dgbonett.sites.ucsc.edu/>.
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