Computes the total sample size required to estimate a population conditional mean of y at x = x* in a fixed-x simple linear regression model with desired confidence interval precision. In an experimental design, the total sample size would be allocated to the levels of the quantitative factor and it might be necessary to increase the total sample size to achieve equal sample sizes. Set the error variance planning value to the largest value within a plausible range for a conservatively large sample size.

size.ci.condmean(alpha, evar, xvar, diff, w)

Arguments

alpha

alpha level for 1-alpha confidence

evar

planning value of within group (error) variance

xvar

variance of fixed predictor variable

diff

difference between x* and mean of x

w

desired confidence interval width

Value

Returns the required total sample size

Examples

size.ci.condmean(.05, 120, 125, 15, 5)
#>  Total sample size
#>                210

# Should return:
# Total sample size
#               210