Computes a confidence interval for a population paired-samples mean
difference using the estimated means, estimated standard deviations,
estimated correlation, and sample size. Also computes a paired-samples
t-test. Use the t.test function for raw data input.
For more details, see Section 4.2 of Bonett (2021, Volume 1)
Usage
ci.mean.ps(alpha, m1, m2, sd1, sd2, cor, n)
Arguments
- alpha
alpha level for 1-alpha confidence
- m1
estimated mean for measurement 1
- m2
estimated mean for measurement 2
- sd1
estimated standard deviation for measurement 1
- sd2
estimated standard deviation for measurement 2
- cor
estimated correlation between measurements
- n
sample size
Value
Returns a 1-row matrix. The columns are:
Estimate - estimated mean difference
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
Snedecor GW, Cochran WG (1989).
Statistical Methods, 8th edition.
ISU University Pres, Ames, Iowa.
Bonett DG (2021).
Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.
Examples
ci.mean.ps(.05, 58.2, 51.4, 7.43, 8.92, .537, 30)
#> Estimate SE t df p LL UL
#> 6.8 1.455922 4.6706 29 6e-05 3.822304 9.777696
# Should return:
# Estimate SE t df p LL UL
# 6.8 1.455922 4.6706 29 6e-05 3.822304 9.777696