calcEffectSizeConfidenceIntervals function

calcEffectSizeConfidenceIntervals

This function provides single-sided and two-sided confidence interval of an effect size (assuming that the null hypothesis value is zero).

calcEffectSizeConfidenceIntervals(
  effectsize,
  effectsize.variance,
  effectsize.df = 0,
  alpha = 0.05,
  alternative = "two.sided",
  UpperValue = Inf,
  LowerValue = -Inf
)

Arguments

• effectsize: The effect size
• effectsize.variance: The effect size variance
• effectsize.df: The degrees of freedom for confidence intervals based on the t- distribution. If df=0 (default), the confidence interval is based on the normal distribution
• alpha: The significance level of the confidence interval (default 0.05).
• alternative: This defines whether a one-sided test or a two-sided (default) test is required. For a one-sided test use parameter values greater' or 'less' to define whether the d-value should be greater or less than zero.
• UpperValue: The maximum legal value of the effect size (default Inf). Used to ensure that confidence intervals of effect sizes such as correlation coefficients are restricted to sensible values.
• LowerValue: The minimum legal value of the effect size (default -Inf). Used to ensure that confidence intervals of effect sizes such as correlation coefficients are restricted to sensible values

Returns

The value of the test statistic, the p.value of test statistic, the upper and lower confidence interval of the effect size, a logical value specifying whether the effect size is significantly different from zero based on the confidence interval and the lower and upper confidence interval bounds.

Examples

reproducer:::calcEffectSizeConfidenceIntervals(
  effectsize=0.37,effectsize.variance=0.00847,effectsize.df=11.1,
  alpha=0.05,alternative='two.sided',UpperValue=0.5,LowerValue=-0.5)
# A tibble: 1 x 5
#  ES.test ES.pvalue ES.sig ES.ci.lower ES.ci.upper
#    <dbl>     <dbl> <lgl>        <dbl>       <dbl>
#1    4.02   0.00198 TRUE         0.168         0.5

Author(s)

Barbara Kitchenham and Lech Madeyski