associationMatrix Helper Functions — computeStatistic

These objects contain a number of settings and functions for associationMatrix.

computeStatistic_t(var1, var2, conf.level = 0.95, var.equal = TRUE, ...)

computeStatistic_r(var1, var2, conf.level = 0.95, ...)

computeStatistic_f(var1, var2, conf.level = 0.95, ...)

computeStatistic_chisq(var1, var2, conf.level = 0.95, ...)

computeEffectSize_d(var1, var2, conf.level = 0.95, var.equal = TRUE, ...)

computeEffectSize_r(var1, var2, conf.level = 0.95, ...)

computeEffectSize_etasq(var1, var2, conf.level = 0.95, ...)

computeEffectSize_omegasq(var1, var2, conf.level = 0.95, ...)

computeEffectSize_v(
  var1,
  var2,
  conf.level = 0.95,
  bootstrap = FALSE,
  samples = 5000,
  ...
)

Arguments

var1: One of the two variables for which to compute a statistic or effect size
var2: The other variable for which to compute the statistic or effect size
conf.level: The confidence for the confidence interval for the effect size
var.equal: Whether to test for equal variances (test), assume equality (yes), or assume unequality (no).
...: Any additonal arguments are sometimes used to specify exactly how statistics and effect sizes should be computed.
bootstrap: Whether to bootstrap to estimate the confidence interval for Cramer's V. If FALSE, the Fisher's Z conversion is used.
samples: If bootstrapping, the number of samples to generate (of course, more samples means more accuracy and longer processing time).

Value

associationMatrixStatDefaults and associationMatrixESDefaults contain the default functions from computeStatistic and computeEffectSize that are called (see the help file for associationMatrix for more details).

The other functions return an object with the relevant statistic or effect size, with a confidence interval for the effect size.

For computeStatistic, this object always contains:

statistic: The relevant statistic
statistic.type: The type of statistic
parameter: The degrees of freedom for this statistic
p.raw: The p-value of this statistic for NHST

And in addition, it often contains (among other things, sometimes):

object: The object from which the statistics are extracted

For computeEffectSize, this object always contains:

es: The point estimate for the effect size
esc.type: The type of effect size
ci: The confidence interval for the effect size

And in addition, it often contains (among other things, sometimes):

object: The object from which the effect size is extracted

Author

Gjalt-Jorn Peters

Maintainer: Gjalt-Jorn Peters gjalt-jorn@userfriendlyscience.com

Examples



computeStatistic_f(Orange$Tree, Orange$circumference)
#> $object
#> Call:
#>    stats::aov(formula = dependent ~ factor)
#> 
#> Terms:
#>                    factor Residuals
#> Sum of Squares   11840.86 100525.43
#> Deg. of Freedom         4        30
#> 
#> Residual standard error: 57.88651
#> Estimated effects are balanced
#> 
#> $statistic
#> [1] 0.8834225
#> 
#> $statistic.type
#> [1] "f"
#> 
#> $parameter
#> [1]  4 30
#> 
#> $p.raw
#> [1] 0.4856567
#> 
computeEffectSize_etasq(Orange$Tree, Orange$circumference)
#> $realConfidence
#> [1] 0.9
#> 
#> $object.aov
#> Call:
#>    stats::aov(formula = dependent ~ factor)
#> 
#> Terms:
#>                    factor Residuals
#> Sum of Squares   11840.86 100525.43
#> Deg. of Freedom         4        30
#> 
#> Residual standard error: 57.88651
#> Estimated effects are balanced
#> 
#> $es
#> [1] 0.1053773
#> 
#> $es.type
#> [1] "etasq"
#> 
#> $object
#> $object$Lower.Limit.Proportion.of.Variance.Accounted.for
#> [1] 0
#> 
#> $object$Probability.Less.Lower.Limit
#> [1] 0
#> 
#> $object$Upper.Limit.Proportion.of.Variance.Accounted.for
#> [1] 0.1947565
#> 
#> $object$Probability.Greater.Upper.Limit
#> [1] 0.05
#> 
#> $object$Actual.Coverage
#> [1] 0.95
#> 
#> 
#> $ci
#> [1] 0.0000000 0.1947565
#>