# MBESS v4.3.0

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## The MBESS R Package

Implements methods that useful in designing research studies and analyzing data, with
particular emphasis on methods that are developed for or used within the behavioral,
educational, and social sciences (broadly defined). That being said, many of the methods
implemented within MBESS are applicable to a wide variety of disciplines. MBESS has a
suite of functions for a variety of related topics, such as effect sizes, confidence intervals
for effect sizes (including standardized effect sizes and noncentral effect sizes), sample size
planning (from the accuracy in parameter estimation [AIPE], power analytic, equivalence, and
minimum-risk point estimation perspectives), mediation analysis, various properties of
distributions, and a variety of utility functions. MBESS (pronounced 'em-bes') was originally
an acronym for 'Methods for the Behavioral, Educational, and Social Sciences,' but at this
point MBESS contains methods applicable and used in a wide variety of fields and is an
orphan acronym, in the sense that what was an acronym is now literally its name. MBESS has
greatly benefited from others, see <http://nd.edu/~kkelley/site/MBESS.html> for a detailed
list of those that have contributed and other details.

## Functions in MBESS

Name | Description | |

F.and.R2.Noncentral.Conversion | Conversion functions from noncentral noncentral values to their corresponding and vice versa, for those related to the F-test and R Square. | |

Gardner.LD | The Gardner learning data, which was used by L.R. Tucker | |

CFA.1 | One-factor confirmatory factor analysis model | |

Cor.Mat.Lomax | Correlation matrix for Lomax (1983) data set | |

Cor.Mat.MM | Correlation matrix for Maruyama & McGarvey (1980) data set | |

Expected.R2 | Expected value of the squared multiple correlation coefficient | |

Sigma.2.SigmaStar | Construct a covariance matrix with specified error of approximation | |

Variance.R2 | Variance of squared multiple correlation coefficient | |

HS.data | Complete Data Set of Holzinger and Swineford's (1939) Study | |

MBESS | MBESS | |

aipe.smd | Sample size planning for the standardized mean different from the accuracy in parameter estimation approach | |

ancova.random.data | Generate random data for an ANCOVA model | |

ci.R | Confidence interval for the multiple correlation coefficient | |

ci.R2 | Confidence interval for the population squared multiple correlation coefficient | |

ci.cc | Confidence interval for the population correlation coefficient | |

ci.cv | Confidence interval for the coefficient of variation | |

ci.rmsea | Confidence interval for the population root mean square error of approximation | |

ci.sc | Confidence Interval for a Standardized Contrast in a Fixed Effects ANOVA | |

ci.pvaf | Confidence Interval for the Proportion of Variance Accounted for (in the dependent variable by knowing the levels of the factor) | |

ci.rc | Confidence Interval for a Regression Coefficient | |

ci.reg.coef | Confidence interval for a regression coefficient | |

ci.reliability | Confidence Interval for a Reliability Coefficient | |

ci.sc.ancova | Confidence interval for a standardized contrast in ANCOVA with one covariate | |

ci.sm | Confidence Interval for the Standardized Mean | |

intr.plot | Regression Surface Containing Interaction | |

mediation | Effect sizes and confidence intervals in a mediation model | |

conf.limits.ncf | Confidence limits for noncentral F parameters | |

conf.limits.nct | Confidence limits for a noncentrality parameter from a t-distribution | |

power.equivalence.md.plot | Plot power of Two One-Sided Tests Procedure (TOST) for Equivalence | |

prof.salary | Cohen et. al. (2003)'s professor salary data set | |

mr.cv | Minimum risk point estimation of the population coefficient of variation | |

mr.smd | Minimum risk point estimation of the population standardized mean difference | |

ss.aipe.c | Sample size planning for an ANOVA contrast from the Accuracy in Parameter Estimation (AIPE) perspective | |

ss.aipe.c.ancova | Sample size planning for a contrast in randomized ANCOVA from the Accuracy in Parameter Estimation (AIPE) perspective | |

ss.aipe.R2 | Sample Size Planning for Accuracy in Parameter Estimation for the multiple correlation coefficient. | |

ss.aipe.R2.sensitivity | Sensitivity analysis for sample size planning with the goal of Accuracy in Parameter Estimation (i.e., a narrow observed confidence interval) | |

ss.aipe.reg.coef | Sample size necessary for the accuracy in parameter estimation approach for a regression coefficient of interest | |

ss.aipe.reg.coef.sensitivity | Sensitivity analysis for sample size planning from the Accuracy in Parameter Estimation Perspective for the (standardized and unstandardized) regression coefficient | |

ci.snr | Confidence Interval for the Signal-To-Noise Ratio | |

ci.src | Confidence Interval for a Standardized Regression Coefficient | |

cor2cov | Correlation Matrix to Covariance Matrix Conversion | |

covmat.from.cfm | Covariance matrix from confirmatory (single) factor model. | |

mediation.effect.bar.plot | Bar plots of mediation effects | |

mediation.effect.plot | Visualizing mediation effects | |

ss.aipe.rc | Sample size necessary for the accuracy in parameter estimation approach for an unstandardized regression coefficient of interest | |

ss.aipe.rc.sensitivity | Sensitivity analysis for sample size planing from the Accuracy in Parameter Estimation Perspective for the unstandardized regression coefficient | |

ss.aipe.smd.sensitivity | Sensitivity analysis for sample size given the Accuracy in Parameter Estimation approach for the standardized mean difference. | |

ss.aipe.src | sample size necessary for the accuracy in parameter estimation approach for a standardized regression coefficient of interest | |

transform_Z.r | Transform Fischer's Z into the scale of a correlation coefficient | |

transform_r.Z | Transform a correlation coefficient (r) into the scale of Fischer's Z | |

cv | Function to calculate the regular (which is also biased) estimate of the coefficient of variation or the unbiased estimate of the coefficient of variation. | |

intr.plot.2d | Plotting Conditional Regression Lines with Interactions in Two Dimensions | |

s.u | Unbiased estimate of the population standard deviation | |

signal.to.noise.R2 | Signal to noise using squared multiple correlation coefficient | |

smd | Standardized mean difference | |

smd.c | Standardized mean difference using the control group as the basis of standardization | |

ss.aipe.rmsea.sensitivity | a priori Monte Carlo simulation for sample size planning for RMSEA in SEM | |

ss.aipe.sc | Sample size planning for Accuracy in Parameter Estimation (AIPE) of the standardized contrast in ANOVA | |

ss.aipe.sc.ancova | Sample size planning from the AIPE perspective for standardized ANCOVA contrasts | |

ss.aipe.sc.ancova.sensitivity | Sensitivity analysis for the sample size planning method for standardized ANCOVA contrast | |

ss.aipe.sc.sensitivity | Sensitivity analysis for sample size planning for the standardized ANOVA contrast from the Accuracy in Parameter Estimation (AIPE) Perspective | |

ss.aipe.sem.path | Sample size planning for SEM targeted effects | |

ss.aipe.sm.sensitivity | Sensitivity analysis for sample size planning for the standardized mean from the Accuracy in Parameter Estimation (AIPE) Perspective | |

ss.aipe.smd | Sample size planning for the standardized mean difference from the Accuracy in Parameter Estimation (AIPE) perspective | |

ss.power.pcm | Sample size planning for power for polynomial change models | |

ss.power.rc | sample size for a targeted regression coefficient | |

power.density.equivalence.md | Density for power of two one-sided tests procedure (TOST) for equivalence | |

power.equivalence.md | Power of Two One-Sided Tests Procedure (TOST) for Equivalence | |

ss.aipe.c.ancova.sensitivity | Sensitivity analysis for sample size planning for the (unstandardized) contrast in randomized ANCOVA from the Accuracy in Parameter Estimation (AIPE) Perspective | |

ss.aipe.cv | Sample size planning for the coefficient of variation given the goal of Accuracy in Parameter Estimation approach to sample size planning | |

ci.c | Confidence interval for a contrast in a fixed effects ANOVA | |

ci.c.ancova | Confidence interval for an (unstandardized) contrast in ANCOVA with one covariate | |

ci.smd | Confidence limits for the standardized mean difference. | |

ci.smd.c | Confidence limits for the standardized mean difference using the control group standard deviation as the divisor. | |

upsilon | A function for estimating the mediation effect size as discussed in Lachowicz, Preacher, & Kelley (submitted). | |

verify.ss.aipe.R2 | Internal MBESS function for verifying the sample size in ss.aipe.R2 | |

ss.aipe.src.sensitivity | Sensitivity analysis for sample size planing from the Accuracy in Parameter Estimation Perspective for the standardized regression coefficient | |

ss.power.R2 | Function to plan sample size so that the test of the squared multiple correlation coefficient is sufficiently powerful. | |

ss.aipe.crd | Find target sample sizes for the accuracy in unstandardized conditions means estimation in CRD | |

ss.aipe.crd.es | Find target sample sizes for the accuracy in standardized conditions means estimation in CRD | |

ss.aipe.reliability | Sample Size Planning for Accuracy in Parameter Estimation for Reliability Coefficients. | |

ss.aipe.rmsea | Sample size planning for RMSEA in SEM | |

t.and.smd.conversion | Conversion functions for noncentral t-distribution | |

theta.2.Sigma.theta | Compute the model-implied covariance matrix of an SEM model | |

ci.srsnr | Confidence Interval for the Square Root of the Signal-To-Noise Ratio | |

conf.limits.nc.chisq | Confidence limits for noncentral chi square parameters | |

ss.aipe.cv.sensitivity | Sensitivity analysis for sample size planning given the Accuracy in Parameter Estimation approach for the coefficient of variation. | |

ss.aipe.pcm | Sample size planning for polynomial change models in longitudinal study | |

ss.aipe.sem.path.sensitiv | a priori Monte Carlo simulation for sample size planning for SEM targeted effects | |

ss.aipe.sm | Sample size planning for Accuracy in Parameter Estimation (AIPE) of the standardized mean | |

vit | Visualize individual trajectories | |

vit.fitted | Visualize individual trajectories with fitted curve and quality of fit | |

ss.power.sem | Sample size planning for structural equation modeling from the power analysis perspective | |

ss.power.reg.coef | sample size for a targeted regression coefficient | |

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## Last month downloads

## Details

Type | Package |

Date | 2017-07-05 |

License | GPL-2 | GPL-3 |

URL | http://nd.edu/~kkelley/site/MBESS.html |

NeedsCompilation | no |

Packaged | 2017-06-06 12:42:41 UTC; kkelley |

Repository | CRAN |

Date/Publication | 2017-06-06 16:00:39 UTC |

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