Use the table of individual statistics to assess the following properties
of your data:
· N. The number of observations included
for each level of the factor.
· Mean. The mean of the observations for
each level. These sample means provide an estimate of the population means
for each level.
· StDev. The sample standard deviation
for each level. The traditional analysis of variance procedure assumes
that the population standard deviations for all levels are equal. You
can test the data for equality of variances with the Test for Equal Variances.
If
the standard deviations are not equal, uncheck Assume
equal variances in the One-Way ANOVA Options
dialog. For unequal variances, Minitab performs Welch's ANOVA.
· CI. These confidence intervals (CI)
provide a range of values that is likely to contain the true mean of each
population. The confidence intervals are calculated using the pooled standard
deviation if you assume equal variances. If you do not assume equal variances,
each interval is calculated using the group's standard deviation.
· Pooled StDev. The pooled standard deviation
is an estimate of the common standard deviation for all levels. Minitab
displays this statistic only if you assume equal variances.
Example Output |

|
Means
Paint N Mean StDev 95% CI
Blend 1 6 14.73 3.36 (11.37, 18.10)
Blend 2 6 8.57 5.50 ( 5.20, 11.93)
Blend 3 6 12.98 3.73 ( 9.62, 16.35)
Blend 4 6 18.07 2.64 (14.70, 21.43)
Pooled StDev = 3.95012 |
Interpretation |

|
The results of the paint hardness analysis indicate that:
· Blend
2 has the lowest mean hardness (8.57) and
Blend 4 has the highest (18.07).
· The
interval tells you that based on the sample data, you can be 95% confident
that the mean hardness for Blend 2 is greater than or equal to 5.20
and less than or equal to 11.93.
· The
standard deviations for the different blends appear to be equal. If you
perform the Test for Equal Variances
on these data, it produces high p-values, which suggests that the
standard deviations are not different.
The pooled standard deviation is 3.95012.