The table of descriptive statistics provides the baseline information.
Summary Statistics for the Data
N M SD Skew Kurt
Outcome 8.000 4.000 3.117 0.151 -0.467
The values of the descriptives statistics are identical to the values that would be provided by the “Descriptives” procedure.
The tables of inferential statistics show the key elements to be interpreted.
Confidence Intervals for the Means
Diff SE df LL UL
Outcome -3.000 1.102 7.000 -5.606 -0.394
Hypothesis Tests for the Means
Diff SE df t p
Outcome -3.000 1.102 7.000 -2.722 0.030
Confidence Intervals for the Standardized Means
d SE LL UL
Outcome -0.963 0.438 -1.792 -0.089
With t = -2.722, p = .030. This would be considered a statistically significant finding.
Using “CI for the Mean”, the researcher concludes that the true population mean difference is somewhere between -5.606 and -0.394 (knowing that the estimate could be wrong).
here, “Cohen’s d” equals -0.963. Given Cohen’s heuristics for interpreting effect sizes, this would be considered a large effect.
For this analysis, a sample mean has been compared to a user-specified test value (or a population mean). Thus, the summary and the inferential statistics focus on that difference.
A one sample t test showed that the difference in Outcome scores between the current sample (N = 8, M = 4.00, SD = 3.12) and the hypothesized value (7.00) was large and statistically significant, t(7) = -2.72, p = .030, 95% CI [-5.61, -.39], d = -0.96.