ci.2x2.mean.bs: Computes tests and confidence intervals of effects in a 2x2...

In statpsych: Statistical Methods for Psychologists

Computes tests and confidence intervals of effects in a 2x2 between-subjects design for means

Description

Computes confidence intervals and tests for the AB interaction effect, main effect of A, main effect of B, simple main effects of A, and simple main effects of B in a 2x2 between-subjects factorial design with a quantitative response variable. A Satterthwaite adjustment to the degrees of freedom is used and equality of population variances is not assumed.

For more details, see Sections 3.8 and 3.9 of Bonett (2021, Volume 1)

Usage

ci.2x2.mean.bs(alpha, y11, y12, y21, y22)

Arguments

alpha	alpha level for 1-alpha confidence
y11	vector of scores at level 1 of A and level 1 of B
y12	vector of scores at level 1 of A and level 2 of B
y21	vector of scores at level 2 of A and level 1 of B
y22	vector of scores at level 2 of A and level 2 of B

Value

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

• Estimate - estimate of effect

• SE - standard error

• t - t test statistic

• df - degrees of freedom

• p - two-sided p-value

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

References

\insertRef

Bonett2021statpsych

Examples

y11 <- c(14, 15, 11, 7, 16, 12, 15, 16, 10, 9)
y12 <- c(18, 24, 14, 18, 22, 21, 16, 17, 14, 13)
y21 <- c(16, 11, 10, 17, 13, 18, 12, 16, 6, 15)
y22 <- c(18, 17, 11, 9, 9, 13, 18, 15, 14, 11)
ci.2x2.mean.bs(.05, y11, y12, y21, y22)

# Should return:
#          Estimate       SE       t    df       p         LL         UL
# AB:         -5.10 2.224860 -2.2923 35.48 0.02793 -9.6145264 -0.5854736
# A:           1.65 1.112430  1.4832 35.48 0.14684 -0.6072632  3.9072632
# B:          -2.65 1.112430 -2.3822 35.48 0.02270 -4.9072632 -0.3927368
# A at b1:    -0.90 1.545244 -0.5824 17.56 0.56768 -4.1522367  2.3522367
# A at b2:     4.20 1.600694  2.6239 17.94 0.01725  0.8362274  7.5637726
# B at a1:    -5.20 1.536952 -3.3833 17.61 0.00339 -8.4341379 -1.9658621
# B at a2:    -0.10 1.608657 -0.0622 17.92 0.95112 -3.4807927  3.2807927

statpsych documentation built on Jan. 13, 2026, 1:07 a.m.