ci.2x2.stdmean.mixed {statpsych}

Computes confidence intervals of standardized effects in a 2x2 mixed design

Description

Computes confidence intervals for the standardized AB interaction effect, main effect of A, main efect of B, simple main effects of A, and simple main effects of B in a 2x2 mixed factorial design where Factor A is a within-subjects factor, and Factor B is a between-subjects factor. Equality of population variances is not assumed.

Usage

ci.2x2.stdmean.mixed(alpha, y11, y12, y21, y22)

Arguments

alpha

alpha level for 1-alpha confidence

y11

vector of scores at level 1 of A in group 1

y12

vector of scores at level 2 of A in group 1

y21

vector of scores at level 1 of A in group 2

y22

vector of scores at level 2 of A in group 2

Value

Returns a 7-row matrix (one row per effect). The columns are:

• Estimate - estimated standardized effect

• adj Estimate - bias adjusted standardized effect estimate

• SE - standard error

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

Examples

y11 <- c(18, 19, 20, 17, 20, 16)
y12 <- c(19, 18, 19, 20, 17, 16)
y21 <- c(19, 16, 16, 14, 16, 18)
y22 <- c(16, 10, 12,  9, 13, 15)
ci.2x2.stdmean.mixed(.05, y11, y12, y21, y22)

# Should return:
#             Estimate  adj Estimate        SE         LL         UL
# AB:      -1.95153666   -1.80141845 0.5424100 -3.0146407 -0.8884326
# A:        1.06061775    1.01125934 0.2780119  0.5157244  1.6055111
# B:        1.90911195    1.76225718 0.5743510  0.7834047  3.0348192
# A at b1:  0.08484942    0.07589163 0.4649598 -0.8264549  0.9961538
# A at b2:  2.03638608    1.82139908 0.2964013  1.4554502  2.6173219
# B at a1:  0.93334362    0.86154796 0.5487927 -0.1422703  2.0089575
# B at a2:  2.88488027    2.66296641 0.7127726  1.4878717  4.2818889