Quantile Plots
How to do it
The upper and lower bars represent the 90th and 10th percentiles respectively. The
red bar in the middle of each box represents the median. The box extends from the
25th to the 75th percentile. The blue dot is the mean with lines extending one standard
error of the mean in each direction. The dotted line is the mean averaging across
all groups.
Descriptive Statistics
How to do this
leniency By Condition Means and Std Deviations Level Number Mean Std Dev Std Err Mean false 34 5.36765 1.82700 0.31333 felt 34 4.91176 1.68087 0.28827 miserable 34 4.91176 1.45368 0.24930 neutral 34 4.11765 1.52285 0.26117
Detailed Descriptive Statistics
How to do this
false Quantiles
maximum 100.0% 9.0000
99.5% 9.0000
97.5% 9.0000
90.0% 8.0000
quartile 75.0% 6.5000
median 50.0% 5.5000
quartile 25.0% 3.5000
10.0% 3.0000
2.5% 2.5000
0.5% 2.5000
minimum 0.0% 2.5000
Moments
Mean 5.36765
Std Dev 1.82702
Std Error Mean 0.31333
Upper 95% Mean 6.00512
Lower 95% Mean 4.73017
N 34.00000
Sum Weights 34.00000
Sum 182.50000
Variance 3.33801
Skewness 0.08284
Kurtosis -0.98709
CV 34.03769
|
felt Quantiles
maximum 100.0% 9.0000
99.5% 9.0000
97.5% 9.0000
90.0% 7.2500
quartile 75.0% 6.1250
median 50.0% 4.7500
quartile 25.0% 3.5000
10.0% 3.0000
2.5% 2.5000
0.5% 2.5000
minimum 0.0% 2.5000
Moments
Mean 4.91176
Std Dev 1.68087
Std Error Mean 0.28827
Upper 95% Mean 5.49824
Lower 95% Mean 4.32529
N 34.00000
Sum Weights 34.00000
Sum 167.00000
Variance 2.82531
Skewness 0.68614
Kurtosis -0.13069
CV 34.22123
|
miserable Quantiles
maximum 100.0% 8.0000
99.5% 8.0000
97.5% 8.0000
90.0% 7.7500
quartile 75.0% 5.5000
median 50.0% 4.7500
quartile 25.0% 4.0000
10.0% 3.2500
2.5% 2.5000
0.5% 2.5000
minimum 0.0% 2.5000
Moments
Mean 4.91176
Std Dev 1.45368
Std Error Mean 0.24930
Upper 95% Mean 5.41897
Lower 95% Mean 4.40455
N 34.00000
Sum Weights 34.00000
Sum 167.00000
Variance 2.11319
Skewness 0.72039
Kurtosis 0.03606
CV 29.59592
|
neutral Quantiles
maximum 100.0% 8.0000
99.5% 8.0000
97.5% 8.0000
90.0% 6.2500
quartile 75.0% 5.1250
median 50.0% 4.0000
quartile 25.0% 2.8750
10.0% 2.2500
2.5% 2.0000
0.5% 2.0000
minimum 0.0% 2.0000
Moments
Mean 4.11765
Std Dev 1.52285
Std Error Mean 0.26117
Upper 95% Mean 4.64899
Lower 95% Mean 3.58630
N 34.00000
Sum Weights 34.00000
Sum 140.00000
Variance 2.31907
Skewness 0.54869
Kurtosis -0.26987
CV 36.98351
|
Note there is no overlap of the dark red and the grey indicating that the false and neutral conditions are significantly different. The light red and the dark red overlap indicating no differences between either felt or miserable eith neutral.
leniency By Condition
Means Comparisons
Dif=Mean[i]-Mean[j] false felt miserable neutral
false 0.00000 0.45588 0.45588 1.25000
felt -0.45588 0.00000 0.00000 0.79412
miserable -0.45588 0.00000 0.00000 0.79412
neutral -1.25000 -0.79412 -0.79412 0.00000
Alpha= 0.05
Comparisons with a control using Dunnett's Method
|d|
2.37635
Abs(Dif)-LSD neutral
false 0.311968
felt -0.14391
miserable -0.14391
neutral -0.93803
Positive values show pairs of means that are significantly different.
The table above shows the difference between absolute value of the difference between
means and the size of the difference needed to be significant (Least Significant
Difference or LSD). A positive value indicates that the difference between means
is larger than the LSD and therefore the comparison is significant. Only the difference
between the false smile and neutral expression is significant.
