Description Usage Arguments Details Value Author(s) References See Also Examples
Computes single predictor categorical moderator analysis under a fixed or random effects model.
1 |
es |
r or z' effect size. |
var |
Variance of es. |
mod |
Categorical moderator variable used for moderator analysis. |
method |
Default is |
ztor |
Default is FALSE. If TRUE, this assumes z' (Fisher's z) was used in the |
data |
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See Konstantopoulos & Hedges (2009; pp. 280-288) for the computations used in this function.
mod |
Level of the categorical moderator. |
k |
Number of studies for each level of the moderator. |
estimate |
Mean effect size of each level of the moderator. |
ci.l |
Lower 95% confidence interval. |
ci.u |
Upper 95% confidence interval. |
z |
z-score (standardized value). |
p |
Significance level. |
var |
Variance of effect size. |
se |
Square root of variance. |
Q |
Q-statistic (measure of homogeneity). |
df |
Degrees of freedom for Q-statistic. |
p.h |
p-value for homogeneity within that level of the moderator. |
I2 |
Proportion of total variation in effect size that is due to heterogeneity rather than chance (see Shadish & Haddock, 2009; pp. 263). |
Q |
Q-statistic overall. Note: Whether fixed or random effects analyses are conducted, the Q statistic reported is for the fixed effect model. Therefore, Qb + Qw != Q in the random effects output. |
Qw |
Q-within (or error). Measure of within-group heterogeneity. |
Qw.df |
Degrees of freedom for Q-within. |
Qw.p |
Q-within p-value (for homogeneity). |
Qb |
Q-between (or model). Measure of model fit. |
Qb.df |
Degrees of freedom for Q-between. |
Qb.p |
Q-between p-value (for homogeneity). Qb and Qb.p provide the test of whether the moderator variable(s) account for significant variance among effect sizes. |
AC Del Re & William T. Hoyt
Maintainer: AC Del Re acdelre@gmail.com
Konstantopoulos & Hedges (2009). Analyzing effect sizes: Fixed-effects models. In H. Cooper, L. V. Hedges, & J. C. Valentine (Eds.), The handbook of research synthesis and meta analysis (pp. 279-293). New York: Russell Sage Foundation.
Shadish & Haddock (2009). Analyzing effect sizes: Fixed-effects models. In H. Cooper, L. V. Hedges, & J. C. Valentine (Eds.), The handbook of research synthesis and meta analysis (pp. 257-278). New York: Russell Sage Foundation.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | id<-c(1:20)
n<-c(10,20,13,22,28,12,12,36,19,12,36,75,33,121,37,14,40,16,14,20)
r<-c(.68,.56,.23,.64,.49,-.04,.49,.33,.58,.18,-.11,.27,.26,.40,.49,
.51,.40,.34,.42,.16)
mod1<-c(1,2,3,4,1,2,8,7,5,3,9,7,5,4,3,2,3,5,7,1)
dat<-data.frame(id,n,r,mod1)
dat$var.r <- var_r(dat$r, dat$n) # MAc function to derive variance
dat$z <- r_to_z(dat$r) # MAc function to convert to Fisher's z (z')
dat$var.z <- var_z(dat$n) # MAc function for variance of z'
dat$mods2 <- factor(rep(1:2, 10))
dat
# Example
# Random effects
macat(es = z, var= var.z, mod = mods2, data = dat, ztor = TRUE, method= "random")
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