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

Source: R/statpsych1.R
ci.2x2.mean.ws.Rd

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 within-subjects factorial design with a quantitative response variable.

For more details, see Section 4.14 of Bonett (2021, Volume 1)

Usage

ci.2x2.mean.ws(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

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

y11 <- c(1,2,3,4,5,7,7)
y12 <- c(1,0,2,4,3,8,7)
y21 <- c(4,5,6,7,8,9,8)
y22 <- c(5,6,8,7,8,9,9)
ci.2x2.mean.ws(.05, y11, y12, y21, y22)
#>             Estimate        SE       t df       p          LL          UL
#> AB:       1.28571429 0.5654449  2.2738  6 0.06334 -0.09787945  2.66930802
#> A:       -3.21428571 0.4862042 -6.6110  6 0.00058 -4.40398462 -2.02458681
#> B:       -0.07142857 0.2296107 -0.3111  6 0.76625 -0.63326579  0.49040865
#> A at b1: -2.57142857 0.2973809 -8.6469  6 0.00013 -3.29909331 -1.84376383
#> A at b2: -3.85714286 0.7377111 -5.2285  6 0.00196 -5.66225692 -2.05202879
#> B at a1:  0.57142857 0.4285714  1.3333  6 0.23082 -0.47724794  1.62010508
#> B at a2: -0.71428571 0.2857143 -2.5000  6 0.04653 -1.41340339 -0.01516804

# Should return:
#             Estimate        SE       t df       p          LL          UL
# AB:       1.28571429 0.5654449  2.2738  6 0.06334 -0.09787945  2.66930802
# A:       -3.21428571 0.4862042 -6.6110  6 0.00058 -4.40398462 -2.02458681
# B:       -0.07142857 0.2296107 -0.3111  6 0.76626 -0.63326579  0.49040865
# A at b1: -2.57142857 0.2973809 -8.6469  6 0.00013 -3.29909331 -1.84376383
# A at b2: -3.85714286 0.7377111 -5.2285  6 0.00196 -5.66225692 -2.05202879
# B at a1:  0.57142857 0.4285714  1.3333  6 0.23081 -0.47724794  1.62010508
# B at a2: -0.71428571 0.2857143 -2.5000  6 0.04653 -1.41340339 -0.01516804