es_from_paired_f_pval {metaConvert}

Convert two paired ANOVA f p-value of two independent groups into several effect size measures

Description

Convert two paired ANOVA f p-value of two independent groups into several effect size measures

Usage

es_from_paired_f_pval(
  paired_f_pval_exp,
  paired_f_pval_nexp,
  n_exp,
  n_nexp,
  r_pre_post_exp,
  r_pre_post_nexp,
  smd_to_cor = "viechtbauer",
  reverse_paired_f_pval
)

Arguments

paired_f_pval_exp

P-value of the paired ANOVA F of the experimental/exposed group.

paired_f_pval_nexp

P-value of the paired ANOVA F of the non-experimental/non-exposed group.

n_exp

number of participants in the experimental/exposed group.

n_nexp

number of participants in the non-experimental/non-exposed group.

r_pre_post_exp

pre-post correlation in the experimental/exposed group

r_pre_post_nexp

pre-post correlation in the non-experimental/non-exposed group

smd_to_cor

formula used to convert the cohen_d value into a coefficient correlation (see details).

reverse_paired_f_pval

a logical value indicating whether the direction of generated effect sizes should be flipped.

Details

This function converts the p-values of two paired F-test obtained from two independent groups value into a Cohen's d (D) and Hedges' g (G) (table 12.2 in Cooper). Odds ratio (OR) and correlation coefficients (R/Z) are then converted from the Cohen's d.

To estimate the Cohen's d, the following formulas are used (Cooper et al., 2019): This function converts a Student's t-test value into a Cohen's d (table 12.2 in Cooper).

paired\_t\_exp = qt(\frac{paired\_f\_pval\_exp}{2}, df = n\_exp - 1) * \sqrt{\frac{2 * (1 - r_pre_post_exp)}{n_exp}}

paired\_t\_nexp = qt(\frac{paired\_f\_pval\_nexp}{2}, df = n\_nexp - 1) * \sqrt{\frac{2 * (1 - r_pre_post_nexp)}{n_nexp}}

To estimate other effect size measures, calculations of the es_from_paired_t() are applied.

Value

This function estimates and converts between several effect size measures.

natural effect size measure	D + G
converted effect size measure	OR + R + Z
required input data	See 'Section 16. Paired: Paired F- or t-test'
	https://metaconvert.org/html/input.html

References

Cooper, H., Hedges, L.V., & Valentine, J.C. (Eds.). (2019). The handbook of research synthesis and meta-analysis. Russell Sage Foundation.

Examples

es_from_paired_f_pval(paired_f_pval_exp = 0.4, paired_f_pval_nexp = 0.01, n_exp = 19, n_nexp = 22)