R/meta_ave.R
meta.ave.mean.ps.Rd
Computes the estimate, standard error, and confidence interval for an average mean difference from two or more paired-samples studies. A Satterthwaite adjustment to the degrees of freedom is used to improve the accuracy of the confidence interval for the average effect size. Equality of variances within or across studies is not assumed.
meta.ave.mean.ps(alpha, m1, m2, sd1, sd2, cor, n, bystudy = TRUE)
alpha level for 1-alpha confidence
vector of estimated means for measurement 1
vector of estimated means for measurement 2
vector of estimated SDs for measurement 1
vector of estimated SDs for measurement 2
vector of estimated correlations for paired measurements
vector of sample sizes
logical to also return each study estimate (TRUE) or not
Returns a matrix. The first row is the average estimate across all studies. If bystudy is TRUE, there is 1 additional row for each study. The matrix has the following columns:
Estimate - estimated effect size
SE - standard error
LL - lower limit of the confidence interval
UL - upper limit of the confidence interval
df - degrees of freedom
Bonett DG (2009). “Meta-analytic interval estimation for standardized and unstandardized mean differences.” Psychological Methods, 14(3), 225--238. ISSN 1939-1463, doi:10.1037/a0016619 .
m1 <- c(53, 60, 53, 57)
m2 <- c(55, 62, 58, 61)
sd1 <- c(4.1, 4.2, 4.5, 4.0)
sd2 <- c(4.2, 4.7, 4.9, 4.8)
cor <- c(.7, .7, .8, .85)
n <- c(30, 50, 30, 70)
meta.ave.mean.ps(.05, m1, m2, sd1, sd2, cor, n, bystudy = TRUE)
#> Estimate SE LL UL df
#> Average -3.25 0.2471557 -3.739691 -2.7603091 112.347
#> Study 1 -2.00 0.5871400 -3.200836 -0.7991639 29.000
#> Study 2 -2.00 0.4918130 -2.988335 -1.0116648 49.000
#> Study 3 -5.00 0.5471136 -6.118973 -3.8810270 29.000
#> Study 4 -4.00 0.3023716 -4.603215 -3.3967852 69.000
# Should return:
# Estimate SE LL UL df
# Average -3.25 0.2471557 -3.739691 -2.7603091 112.347
# Study 1 -2.00 0.5871400 -3.200836 -0.7991639 29.000
# Study 2 -2.00 0.4918130 -2.988335 -1.0116648 49.000
# Study 3 -5.00 0.5471136 -6.118973 -3.8810270 29.000
# Study 4 -4.00 0.3023716 -4.603215 -3.3967852 69.000