test.mono.prop.bs {statpsych}

Test of monotonic trend in proportions for an ordered between-subjects factor

Description

Computes simultaneous confidence intervals for all adjacent pairwise comparisons of population proportions using group frequency counts and samples sizes as input. If one or more lower limits are greater than 0 and no upper limit is less than 0, then conclude that the population proportions are monotonic decreasing. If one or more upper limits are less than 0 and no lower limits are greater than 0, then conclude that the population proportions are monotonic increasing. Reject the hypothesis of a monotonic trend if any lower limit is greater than 0 and any upper limit is less than 0.

Usage

test.mono.prop.bs(alpha, f, n)

Arguments

alpha

alpha level for simultaneous 1-alpha confidence

f

vector of frequency counts of participants who have the attribute

n

vector of sample sizes

Value

Returns a matrix with the number of rows equal to the number of adjacent pairwise comparisons. The columns are:

• Estimate - estimated proportion difference

• SE - standard error

• LL - one-sided lower limit of the confidence interval

• UL - one-sided upper limit of the confidence interval

Examples

f <- c(67, 49, 30, 10)
n <- c(100, 100, 100, 100)
test.mono.prop.bs(.05, f, n)

# Should return:
#      Estimate         SE         LL        UL
# 1 2 0.1764706 0.06803446 0.01359747 0.3393437
# 2 3 0.1862745 0.06726135 0.02525219 0.3472968
# 3 4 0.1960784 0.05493010 0.06457688 0.3275800