How accurate is the Pearson r-from-Z approximation? A Monte Carlo simulation study.
J Gen Psychol
; 139(2): 68-77, 2012.
Article
em En
| MEDLINE
| ID: mdl-24836910
ABSTRACT
The Pearson r-from-Z approximation estimates the sample correlation (as an effect size measure) from the ratio of two quantities the standard normal deviate equivalent (Z-score) corresponding to a one-tailed p-value divided by the square root of the total (pooled) sample size. The formula has utility in meta-analytic work when reports of research contain minimal statistical information. Although simple to implement, the accuracy of the Pearson r-from-Z approximation has not been empirically evaluated. To address this omission, we performed a series of Monte Carlo simulations. Results indicated that in some cases the formula did accurately estimate the sample correlation. However, when sample size was very small (N = 10) and effect sizes were small to small-moderate (ds of 0.1 and 0.3), the Pearson r-from-Z approximation was very inaccurate. Detailed figures that provide guidance as to when the Pearson r-from-Z formula will likely yield valid inferences are presented.
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Texto completo:
1
Base de dados:
MEDLINE
Assunto principal:
Interpretação Estatística de Dados
Tipo de estudo:
Health_economic_evaluation
/
Systematic_reviews
Limite:
Humans
Idioma:
En
Revista:
J Gen Psychol
Ano de publicação:
2012
Tipo de documento:
Article