CI_smd_one: Estimate the mean difference from a sample mean to a...

In rcalinjageman/esci2: Effect Sizes and Confidence Intervals

Description

\loadmathjax

CI_smd_one returns the point estimate and confidence interval for the standardized mean difference between a sample mean and a population/reference mean \mjdeqn d_1 = \fracX - \musMdiff = (X - mu)/s

Usage

CI_smd_one(
  comparison_m,
  comparison_s,
  comparison_n,
  population_m = 0,
  population_s = NULL,
  conf_level = 0.95,
  correct_bias = TRUE
)

Arguments

comparison_m	Mean from the sample
comparison_s	Standard deviation from the sample
comparison_n	Sample size
population_m	Optional value for population mean; defaults to 0
population_s	Optional value for population sd; defaults to NULL. If NULL function returns a CI based on the sample standard deviation and a t-distribution. If a numeric value is passed, returns a CI based on population_s and a normal-distribution
conf_level	The confidence level in decimal form. Defaults to 0.95.

Value

Returns a list with these named elements:

• effect_size - the point estimate; d = (comparison_m - population_m)/s

• lower - lower bound of the CI

• upper - upper bound of the CI

• numerator - the numerator for Cohen's d_biased; (comparison_m - population_m)

• denominator - the denominator for Cohen's d_biased; population_s if passed, otherwise comparison_s

• df - the degrees of freedom used for correction and CI calculation

• se - the standard error of the estimate; warning not totally sure about this yet

• moe - margin of error; 1/2 length of the CI

• d_biased - Cohen's d without correction applied

• properties - a list of properties for the result

Properties

• d_name - if equal variance assumed d_s, otherwise d_avg

• d_name_html - html representation of d_name

• denominator_name - if equal variance assumed sd_pooled otherwise sd_avg

• denominator_name_html - html representation of denominator name

• bias_corrected - TRUE/FALSE if bias correction was applied

• message - a message explaining denominator and correction status

• message_html - html representation of message

Examples

  CI_smd_one(
    comparison_m = 10, 
    comparison_s = 3, 
    comparison_n = 25
  )   

rcalinjageman/esci2 documentation built on Dec. 22, 2021, 1:02 p.m.