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Computes a prediction interval for the response variable score of one randomly selected member from the study population.

For more details, see Section 1.9 of Bonett (2021, Volume 1)

Usage

pi.score(alpha, m, sd, n)

Arguments

alpha

alpha level for 1-alpha confidence

m

estimated mean

sd

estimated standard deviation

n

sample size

Value

Returns a 1-row matrix. The columns are:

  • Predicted - predicted score

  • df - degrees of freedom

  • LL - lower limit of the prediction interval

  • UL - upper limit of the prediction interval

References

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

Examples

pi.score(.05, 24.5, 3.65, 40)
#>  Predicted df       LL       UL
#>       24.5 39 17.02546 31.97454

# Should return:
# Predicted  df       LL       UL
#      24.5  39 17.02546 31.97454