pi.score2: Prediction interval for a difference of scores in a 2-group...

In statpsych: Statistical Methods for Psychologists

Prediction interval for a difference of scores in a 2-group experiment

Description

For a 2-group experimental design, this function computes a prediction interval for how the response variable score for one randomly selected person from the study population would differ under the two treatment conditions. Both equal variance and unequal variance prediction intervals are computed.

For more details, see Section 2.6 of Bonett (2021, Volume 1)

Usage

pi.score2(alpha, m1, m2, sd1, sd2, n1, n2)

Arguments

alpha	alpha level for 1-alpha confidence
m1	estamated mean for group 1
m2	estimated mean for group 1
sd1	estimated standard deviation for group 1
sd2	estimated standard deviation for group 2
n1	sample size for group 1
n2	sample size for group 2

Value

Returns a 2-row matrix. The columns are:

• Predicted - predicted difference in scores

• df - degrees of freedom

• LL - lower limit of the prediction interval

• UL - upper limit of the prediction interval

References

\insertRef

Hahn1977statpsych

\insertRef

Bonett2021statpsych

Examples

pi.score2(.05, 19.4, 11.3, 2.70, 2.10, 40, 40)

# Should return:
#                              Predicted    df       LL       UL
# Equal Variances Assumed:           8.1 78.00 1.205659 14.99434
# Equal Variances Not Assumed:       8.1 73.54 1.199073 15.00093
 

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